Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.9% → 39.9%

Time: 1.8min

Alternatives: 39

Speedup: 2.3×

• 89.2% 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: 30.9% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 39.9% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y4 - a \cdot y5\\ t_2 := y \cdot k - t \cdot j\\ t_3 := k \cdot y2 - j \cdot y3\\ t_4 := z \cdot t - x \cdot y\\ t_5 := x \cdot j - z \cdot k\\ t_6 := y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot t_3\right) + i \cdot t_5\right)\\ t_7 := c \cdot y0 - a \cdot y1\\ t_8 := y \cdot y3 - t \cdot y2\\ t_9 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot t_3\right) + c \cdot t_8\right)\\ t_10 := a \cdot b - c \cdot i\\ t_11 := y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t_10\right) + y3 \cdot t_1\right)\\ \mathbf{if}\;y4 \leq -3.6 \cdot 10^{+179}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y4 \leq -7.4 \cdot 10^{+85}:\\ \;\;\;\;c \cdot \left(\left(i \cdot t_4 + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot t_8\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;y4 \leq -5.9 \cdot 10^{-58}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot t_2 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -3.4 \cdot 10^{-80}:\\ \;\;\;\;i \cdot \left(y1 \cdot t_5 + \left(y5 \cdot t_2 + c \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.1 \cdot 10^{-275}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;y4 \leq 2.6 \cdot 10^{-99}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_10 + y2 \cdot t_7\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 1.22 \cdot 10^{-28}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{+22}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;y4 \leq 4.8 \cdot 10^{+97}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_7\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.75 \cdot 10^{+134}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y4 \leq 1.8 \cdot 10^{+204} \lor \neg \left(y4 \leq 1.25 \cdot 10^{+279}\right):\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot t_1 + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\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 (- (* c y4) (* a y5)))
        (t_2 (- (* y k) (* t j)))
        (t_3 (- (* k y2) (* j y3)))
        (t_4 (- (* z t) (* x y)))
        (t_5 (- (* x j) (* z k)))
        (t_6 (* y1 (+ (+ (* a (- (* z y3) (* x y2))) (* y4 t_3)) (* i t_5))))
        (t_7 (- (* c y0) (* a y1)))
        (t_8 (- (* y y3) (* t y2)))
        (t_9 (* y4 (+ (+ (* b (- (* t j) (* y k))) (* y1 t_3)) (* c t_8))))
        (t_10 (- (* a b) (* c i)))
        (t_11 (* y (+ (+ (* k (- (* i y5) (* b y4))) (* x t_10)) (* y3 t_1)))))
   (if (<= y4 -3.6e+179)
     t_9
     (if (<= y4 -7.4e+85)
       (* c (+ (+ (* i t_4) (* y0 (- (* x y2) (* z y3)))) (* y4 t_8)))
       (if (<= y4 -1.75e+84)
         (* c (* (* z t) i))
         (if (<= y4 -5.9e-58)
           (*
            y5
            (+
             (* a (- (* t y2) (* y y3)))
             (+ (* i t_2) (* y0 (- (* j y3) (* k y2))))))
           (if (<= y4 -3.4e-80)
             (* i (+ (* y1 t_5) (+ (* y5 t_2) (* c t_4))))
             (if (<= y4 -2.1e-275)
               t_11
               (if (<= y4 2.6e-99)
                 (*
                  x
                  (+ (+ (* y t_10) (* y2 t_7)) (* j (- (* i y1) (* b y0)))))
                 (if (<= y4 1.22e-28)
                   t_6
                   (if (<= y4 6.2e+22)
                     t_11
                     (if (<= y4 4.8e+97)
                       (*
                        y2
                        (+
                         (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_7))
                         (* t (- (* a y5) (* c y4)))))
                       (if (<= y4 1.75e+134)
                         t_6
                         (if (or (<= y4 1.8e+204) (not (<= y4 1.25e+279)))
                           t_9
                           (*
                            y3
                            (+
                             (* y t_1)
                             (+
                              (* j (- (* y0 y5) (* y1 y4)))
                              (* z (- (* a y1) (* c y0))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y4) - (a * y5);
	double t_2 = (y * k) - (t * j);
	double t_3 = (k * y2) - (j * y3);
	double t_4 = (z * t) - (x * y);
	double t_5 = (x * j) - (z * k);
	double t_6 = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_3)) + (i * t_5));
	double t_7 = (c * y0) - (a * y1);
	double t_8 = (y * y3) - (t * y2);
	double t_9 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_3)) + (c * t_8));
	double t_10 = (a * b) - (c * i);
	double t_11 = y * (((k * ((i * y5) - (b * y4))) + (x * t_10)) + (y3 * t_1));
	double tmp;
	if (y4 <= -3.6e+179) {
		tmp = t_9;
	} else if (y4 <= -7.4e+85) {
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_8));
	} else if (y4 <= -1.75e+84) {
		tmp = c * ((z * t) * i);
	} else if (y4 <= -5.9e-58) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_2) + (y0 * ((j * y3) - (k * y2)))));
	} else if (y4 <= -3.4e-80) {
		tmp = i * ((y1 * t_5) + ((y5 * t_2) + (c * t_4)));
	} else if (y4 <= -2.1e-275) {
		tmp = t_11;
	} else if (y4 <= 2.6e-99) {
		tmp = x * (((y * t_10) + (y2 * t_7)) + (j * ((i * y1) - (b * y0))));
	} else if (y4 <= 1.22e-28) {
		tmp = t_6;
	} else if (y4 <= 6.2e+22) {
		tmp = t_11;
	} else if (y4 <= 4.8e+97) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.75e+134) {
		tmp = t_6;
	} else if ((y4 <= 1.8e+204) || !(y4 <= 1.25e+279)) {
		tmp = t_9;
	} else {
		tmp = y3 * ((y * t_1) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (c * y4) - (a * y5)
    t_2 = (y * k) - (t * j)
    t_3 = (k * y2) - (j * y3)
    t_4 = (z * t) - (x * y)
    t_5 = (x * j) - (z * k)
    t_6 = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_3)) + (i * t_5))
    t_7 = (c * y0) - (a * y1)
    t_8 = (y * y3) - (t * y2)
    t_9 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_3)) + (c * t_8))
    t_10 = (a * b) - (c * i)
    t_11 = y * (((k * ((i * y5) - (b * y4))) + (x * t_10)) + (y3 * t_1))
    if (y4 <= (-3.6d+179)) then
        tmp = t_9
    else if (y4 <= (-7.4d+85)) then
        tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_8))
    else if (y4 <= (-1.75d+84)) then
        tmp = c * ((z * t) * i)
    else if (y4 <= (-5.9d-58)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_2) + (y0 * ((j * y3) - (k * y2)))))
    else if (y4 <= (-3.4d-80)) then
        tmp = i * ((y1 * t_5) + ((y5 * t_2) + (c * t_4)))
    else if (y4 <= (-2.1d-275)) then
        tmp = t_11
    else if (y4 <= 2.6d-99) then
        tmp = x * (((y * t_10) + (y2 * t_7)) + (j * ((i * y1) - (b * y0))))
    else if (y4 <= 1.22d-28) then
        tmp = t_6
    else if (y4 <= 6.2d+22) then
        tmp = t_11
    else if (y4 <= 4.8d+97) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= 1.75d+134) then
        tmp = t_6
    else if ((y4 <= 1.8d+204) .or. (.not. (y4 <= 1.25d+279))) then
        tmp = t_9
    else
        tmp = y3 * ((y * t_1) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y4) - (a * y5);
	double t_2 = (y * k) - (t * j);
	double t_3 = (k * y2) - (j * y3);
	double t_4 = (z * t) - (x * y);
	double t_5 = (x * j) - (z * k);
	double t_6 = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_3)) + (i * t_5));
	double t_7 = (c * y0) - (a * y1);
	double t_8 = (y * y3) - (t * y2);
	double t_9 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_3)) + (c * t_8));
	double t_10 = (a * b) - (c * i);
	double t_11 = y * (((k * ((i * y5) - (b * y4))) + (x * t_10)) + (y3 * t_1));
	double tmp;
	if (y4 <= -3.6e+179) {
		tmp = t_9;
	} else if (y4 <= -7.4e+85) {
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_8));
	} else if (y4 <= -1.75e+84) {
		tmp = c * ((z * t) * i);
	} else if (y4 <= -5.9e-58) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_2) + (y0 * ((j * y3) - (k * y2)))));
	} else if (y4 <= -3.4e-80) {
		tmp = i * ((y1 * t_5) + ((y5 * t_2) + (c * t_4)));
	} else if (y4 <= -2.1e-275) {
		tmp = t_11;
	} else if (y4 <= 2.6e-99) {
		tmp = x * (((y * t_10) + (y2 * t_7)) + (j * ((i * y1) - (b * y0))));
	} else if (y4 <= 1.22e-28) {
		tmp = t_6;
	} else if (y4 <= 6.2e+22) {
		tmp = t_11;
	} else if (y4 <= 4.8e+97) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.75e+134) {
		tmp = t_6;
	} else if ((y4 <= 1.8e+204) || !(y4 <= 1.25e+279)) {
		tmp = t_9;
	} else {
		tmp = y3 * ((y * t_1) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y4) - (a * y5)
	t_2 = (y * k) - (t * j)
	t_3 = (k * y2) - (j * y3)
	t_4 = (z * t) - (x * y)
	t_5 = (x * j) - (z * k)
	t_6 = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_3)) + (i * t_5))
	t_7 = (c * y0) - (a * y1)
	t_8 = (y * y3) - (t * y2)
	t_9 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_3)) + (c * t_8))
	t_10 = (a * b) - (c * i)
	t_11 = y * (((k * ((i * y5) - (b * y4))) + (x * t_10)) + (y3 * t_1))
	tmp = 0
	if y4 <= -3.6e+179:
		tmp = t_9
	elif y4 <= -7.4e+85:
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_8))
	elif y4 <= -1.75e+84:
		tmp = c * ((z * t) * i)
	elif y4 <= -5.9e-58:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_2) + (y0 * ((j * y3) - (k * y2)))))
	elif y4 <= -3.4e-80:
		tmp = i * ((y1 * t_5) + ((y5 * t_2) + (c * t_4)))
	elif y4 <= -2.1e-275:
		tmp = t_11
	elif y4 <= 2.6e-99:
		tmp = x * (((y * t_10) + (y2 * t_7)) + (j * ((i * y1) - (b * y0))))
	elif y4 <= 1.22e-28:
		tmp = t_6
	elif y4 <= 6.2e+22:
		tmp = t_11
	elif y4 <= 4.8e+97:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))))
	elif y4 <= 1.75e+134:
		tmp = t_6
	elif (y4 <= 1.8e+204) or not (y4 <= 1.25e+279):
		tmp = t_9
	else:
		tmp = y3 * ((y * t_1) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y4) - Float64(a * y5))
	t_2 = Float64(Float64(y * k) - Float64(t * j))
	t_3 = Float64(Float64(k * y2) - Float64(j * y3))
	t_4 = Float64(Float64(z * t) - Float64(x * y))
	t_5 = Float64(Float64(x * j) - Float64(z * k))
	t_6 = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * t_3)) + Float64(i * t_5)))
	t_7 = Float64(Float64(c * y0) - Float64(a * y1))
	t_8 = Float64(Float64(y * y3) - Float64(t * y2))
	t_9 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * t_3)) + Float64(c * t_8)))
	t_10 = Float64(Float64(a * b) - Float64(c * i))
	t_11 = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_10)) + Float64(y3 * t_1)))
	tmp = 0.0
	if (y4 <= -3.6e+179)
		tmp = t_9;
	elseif (y4 <= -7.4e+85)
		tmp = Float64(c * Float64(Float64(Float64(i * t_4) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * t_8)));
	elseif (y4 <= -1.75e+84)
		tmp = Float64(c * Float64(Float64(z * t) * i));
	elseif (y4 <= -5.9e-58)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * t_2) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (y4 <= -3.4e-80)
		tmp = Float64(i * Float64(Float64(y1 * t_5) + Float64(Float64(y5 * t_2) + Float64(c * t_4))));
	elseif (y4 <= -2.1e-275)
		tmp = t_11;
	elseif (y4 <= 2.6e-99)
		tmp = Float64(x * Float64(Float64(Float64(y * t_10) + Float64(y2 * t_7)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y4 <= 1.22e-28)
		tmp = t_6;
	elseif (y4 <= 6.2e+22)
		tmp = t_11;
	elseif (y4 <= 4.8e+97)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_7)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= 1.75e+134)
		tmp = t_6;
	elseif ((y4 <= 1.8e+204) || !(y4 <= 1.25e+279))
		tmp = t_9;
	else
		tmp = Float64(y3 * Float64(Float64(y * t_1) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y4) - (a * y5);
	t_2 = (y * k) - (t * j);
	t_3 = (k * y2) - (j * y3);
	t_4 = (z * t) - (x * y);
	t_5 = (x * j) - (z * k);
	t_6 = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_3)) + (i * t_5));
	t_7 = (c * y0) - (a * y1);
	t_8 = (y * y3) - (t * y2);
	t_9 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_3)) + (c * t_8));
	t_10 = (a * b) - (c * i);
	t_11 = y * (((k * ((i * y5) - (b * y4))) + (x * t_10)) + (y3 * t_1));
	tmp = 0.0;
	if (y4 <= -3.6e+179)
		tmp = t_9;
	elseif (y4 <= -7.4e+85)
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_8));
	elseif (y4 <= -1.75e+84)
		tmp = c * ((z * t) * i);
	elseif (y4 <= -5.9e-58)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_2) + (y0 * ((j * y3) - (k * y2)))));
	elseif (y4 <= -3.4e-80)
		tmp = i * ((y1 * t_5) + ((y5 * t_2) + (c * t_4)));
	elseif (y4 <= -2.1e-275)
		tmp = t_11;
	elseif (y4 <= 2.6e-99)
		tmp = x * (((y * t_10) + (y2 * t_7)) + (j * ((i * y1) - (b * y0))));
	elseif (y4 <= 1.22e-28)
		tmp = t_6;
	elseif (y4 <= 6.2e+22)
		tmp = t_11;
	elseif (y4 <= 4.8e+97)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= 1.75e+134)
		tmp = t_6;
	elseif ((y4 <= 1.8e+204) || ~((y4 <= 1.25e+279)))
		tmp = t_9;
	else
		tmp = y3 * ((y * t_1) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(i * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -3.6e+179], t$95$9, If[LessEqual[y4, -7.4e+85], N[(c * N[(N[(N[(i * t$95$4), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.75e+84], N[(c * N[(N[(z * t), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.9e-58], 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 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.4e-80], N[(i * N[(N[(y1 * t$95$5), $MachinePrecision] + N[(N[(y5 * t$95$2), $MachinePrecision] + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.1e-275], t$95$11, If[LessEqual[y4, 2.6e-99], N[(x * N[(N[(N[(y * t$95$10), $MachinePrecision] + N[(y2 * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.22e-28], t$95$6, If[LessEqual[y4, 6.2e+22], t$95$11, If[LessEqual[y4, 4.8e+97], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.75e+134], t$95$6, If[Or[LessEqual[y4, 1.8e+204], N[Not[LessEqual[y4, 1.25e+279]], $MachinePrecision]], t$95$9, N[(y3 * N[(N[(y * t$95$1), $MachinePrecision] + N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -3.5999999999999998e179 or 1.75000000000000001e134 < y4 < 1.8000000000000001e204 or 1.25e279 < y4

   1. Initial program 30.1%

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

   2. Taylor expanded in y4 around inf 74.8%

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

   if -3.5999999999999998e179 < y4 < -7.4000000000000004e85

   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 c around inf 68.4%

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

   if -7.4000000000000004e85 < y4 < -1.7499999999999999e84

   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 c around inf 0.0%

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

   3. Taylor expanded in i around inf 100.0%

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

      1. mul-1-neg 100.0%

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

      2. *-commutative 100.0%

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

      3. distribute-rgt-neg-out 100.0%

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

      4. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   6. Taylor expanded in x around 0 100.0%

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

      1. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -1.7499999999999999e84 < y4 < -5.9e-58

   1. Initial program 13.6%

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

   2. Taylor expanded in y5 around -inf 68.4%

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

   if -5.9e-58 < y4 < -3.4000000000000001e-80

   1. Initial program 33.3%

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

   2. Taylor expanded in i around -inf 100.0%

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

   if -3.4000000000000001e-80 < y4 < -2.09999999999999988e-275 or 1.22e-28 < y4 < 6.2000000000000004e22

   1. Initial program 42.6%

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

   2. Taylor expanded in y around inf 60.7%

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

   if -2.09999999999999988e-275 < y4 < 2.60000000000000005e-99

   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 x around inf 54.0%

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

   if 2.60000000000000005e-99 < y4 < 1.22e-28 or 4.8e97 < y4 < 1.75000000000000001e134

   1. Initial program 27.2%

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

   2. Taylor expanded in y1 around inf 62.1%

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

   if 6.2000000000000004e22 < y4 < 4.8e97

   1. Initial program 27.8%

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

   2. Taylor expanded in y2 around inf 67.2%

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

   if 1.8000000000000001e204 < y4 < 1.25e279

   1. Initial program 19.0%

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

   2. Taylor expanded in y3 around -inf 72.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 66.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -3.6 \cdot 10^{+179}:\\ \;\;\;\;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 -7.4 \cdot 10^{+85}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;y4 \leq -5.9 \cdot 10^{-58}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -3.4 \cdot 10^{-80}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -2.1 \cdot 10^{-275}:\\ \;\;\;\;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}\;y4 \leq 2.6 \cdot 10^{-99}:\\ \;\;\;\;x \cdot \left(\left(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}\;y4 \leq 1.22 \cdot 10^{-28}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{+22}:\\ \;\;\;\;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}\;y4 \leq 4.8 \cdot 10^{+97}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.75 \cdot 10^{+134}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 1.8 \cdot 10^{+204} \lor \neg \left(y4 \leq 1.25 \cdot 10^{+279}\right):\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \end{array} \]

Alternative 2: 53.2% accurate, 0.5× speedup

Math

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

FPCore

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

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * y3) - (t * y2);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) - (((z * k) - (x * j)) * ((i * y1) - (b * y0)))) + (t_2 * ((c * y0) - (a * y1)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((c * y4) - (a * y5)) * t_1)) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_3 <= ((double) INFINITY)) {
		tmp = t_3;
	} else {
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_2)) + (y4 * 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 = (y * y3) - (t * y2);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) - (((z * k) - (x * j)) * ((i * y1) - (b * y0)))) + (t_2 * ((c * y0) - (a * y1)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((c * y4) - (a * y5)) * t_1)) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_3 <= Double.POSITIVE_INFINITY) {
		tmp = t_3;
	} else {
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_2)) + (y4 * t_1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y * y3) - (t * y2)
	t_2 = (x * y2) - (z * y3)
	t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) - (((z * k) - (x * j)) * ((i * y1) - (b * y0)))) + (t_2 * ((c * y0) - (a * y1)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((c * y4) - (a * y5)) * t_1)) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if t_3 <= math.inf:
		tmp = t_3
	else:
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_2)) + (y4 * t_1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y * y3) - Float64(t * y2))
	t_2 = Float64(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(z * k) - Float64(x * j)) * Float64(Float64(i * y1) - Float64(b * y0)))) + Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(Float64(Float64(c * y4) - Float64(a * y5)) * t_1)) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = Float64(c * Float64(Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(y0 * t_2)) + Float64(y4 * t_1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y * y3) - (t * y2);
	t_2 = (x * y2) - (z * y3);
	t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) - (((z * k) - (x * j)) * ((i * y1) - (b * y0)))) + (t_2 * ((c * y0) - (a * y1)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((c * y4) - (a * y5)) * t_1)) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_2)) + (y4 * t_1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, Infinity], t$95$3, N[(c * N[(N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 2 regimes

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

   1. Initial program 90.3%

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

   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 c around inf 40.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 57.5%

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

Alternative 3: 37.1% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_2 := i \cdot y1 - b \cdot y0\\ t_3 := x \cdot t_2\\ t_4 := t \cdot j - y \cdot k\\ t_5 := y4 \cdot \left(\left(b \cdot t_4 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_6 := y \cdot \left(a \cdot b - c \cdot i\right)\\ \mathbf{if}\;k \leq -4.5 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{+30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -1450000:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -6.6 \cdot 10^{-19}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -1.7 \cdot 10^{-48}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-49}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq -3.35 \cdot 10^{-115}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;k \leq -4.4 \cdot 10^{-167}:\\ \;\;\;\;j \cdot t_3\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{-262}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -1.02 \cdot 10^{-289}:\\ \;\;\;\;x \cdot t_6\\ \mathbf{elif}\;k \leq 3.4 \cdot 10^{-168}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + t_3\right)\\ \mathbf{elif}\;k \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y1 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;k \leq 4 \cdot 10^{+116}:\\ \;\;\;\;x \cdot \left(\left(t_6 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_2\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_4\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* z (- (* b y0) (* i y1)))))
        (t_2 (- (* i y1) (* b y0)))
        (t_3 (* x t_2))
        (t_4 (- (* t j) (* y k)))
        (t_5
         (*
          y4
          (+
           (+ (* b t_4) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2))))))
        (t_6 (* y (- (* a b) (* c i)))))
   (if (<= k -4.5e+83)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -7.2e+30)
       t_1
       (if (<= k -1450000.0)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= k -6.6e-19)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= k -1.7e-48)
             t_5
             (if (<= k -1.4e-49)
               (* a (* (* x y) b))
               (if (<= k -3.35e-115)
                 (*
                  i
                  (+
                   (* y1 (- (* x j) (* z k)))
                   (+ (* y5 (- (* y k) (* t j))) (* c (- (* z t) (* x y))))))
                 (if (<= k -4.4e-167)
                   (* j t_3)
                   (if (<= k -4.8e-262)
                     t_5
                     (if (<= k -1.02e-289)
                       (* x t_6)
                       (if (<= k 3.4e-168)
                         (* j (+ (* t (- (* b y4) (* i y5))) t_3))
                         (if (<= k 7.5e-141)
                           (* x (* a (* y1 (- y2))))
                           (if (<= k 4e+116)
                             (*
                              x
                              (+
                               (+ t_6 (* y2 (- (* c y0) (* a y1))))
                               (* j t_2)))
                             (if (<= k 6.5e+228)
                               (*
                                b
                                (+
                                 (+ (* a (- (* x y) (* z t))) (* y4 t_4))
                                 (* y0 (- (* z k) (* x j)))))
                               t_1))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = (i * y1) - (b * y0);
	double t_3 = x * t_2;
	double t_4 = (t * j) - (y * k);
	double t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_6 = y * ((a * b) - (c * i));
	double tmp;
	if (k <= -4.5e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -7.2e+30) {
		tmp = t_1;
	} else if (k <= -1450000.0) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -6.6e-19) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -1.7e-48) {
		tmp = t_5;
	} else if (k <= -1.4e-49) {
		tmp = a * ((x * y) * b);
	} else if (k <= -3.35e-115) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))));
	} else if (k <= -4.4e-167) {
		tmp = j * t_3;
	} else if (k <= -4.8e-262) {
		tmp = t_5;
	} else if (k <= -1.02e-289) {
		tmp = x * t_6;
	} else if (k <= 3.4e-168) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + t_3);
	} else if (k <= 7.5e-141) {
		tmp = x * (a * (y1 * -y2));
	} else if (k <= 4e+116) {
		tmp = x * ((t_6 + (y2 * ((c * y0) - (a * y1)))) + (j * t_2));
	} else if (k <= 6.5e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = k * (z * ((b * y0) - (i * y1)))
    t_2 = (i * y1) - (b * y0)
    t_3 = x * t_2
    t_4 = (t * j) - (y * k)
    t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    t_6 = y * ((a * b) - (c * i))
    if (k <= (-4.5d+83)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-7.2d+30)) then
        tmp = t_1
    else if (k <= (-1450000.0d0)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (k <= (-6.6d-19)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= (-1.7d-48)) then
        tmp = t_5
    else if (k <= (-1.4d-49)) then
        tmp = a * ((x * y) * b)
    else if (k <= (-3.35d-115)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))))
    else if (k <= (-4.4d-167)) then
        tmp = j * t_3
    else if (k <= (-4.8d-262)) then
        tmp = t_5
    else if (k <= (-1.02d-289)) then
        tmp = x * t_6
    else if (k <= 3.4d-168) then
        tmp = j * ((t * ((b * y4) - (i * y5))) + t_3)
    else if (k <= 7.5d-141) then
        tmp = x * (a * (y1 * -y2))
    else if (k <= 4d+116) then
        tmp = x * ((t_6 + (y2 * ((c * y0) - (a * y1)))) + (j * t_2))
    else if (k <= 6.5d+228) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = (i * y1) - (b * y0);
	double t_3 = x * t_2;
	double t_4 = (t * j) - (y * k);
	double t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_6 = y * ((a * b) - (c * i));
	double tmp;
	if (k <= -4.5e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -7.2e+30) {
		tmp = t_1;
	} else if (k <= -1450000.0) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -6.6e-19) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -1.7e-48) {
		tmp = t_5;
	} else if (k <= -1.4e-49) {
		tmp = a * ((x * y) * b);
	} else if (k <= -3.35e-115) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))));
	} else if (k <= -4.4e-167) {
		tmp = j * t_3;
	} else if (k <= -4.8e-262) {
		tmp = t_5;
	} else if (k <= -1.02e-289) {
		tmp = x * t_6;
	} else if (k <= 3.4e-168) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + t_3);
	} else if (k <= 7.5e-141) {
		tmp = x * (a * (y1 * -y2));
	} else if (k <= 4e+116) {
		tmp = x * ((t_6 + (y2 * ((c * y0) - (a * y1)))) + (j * t_2));
	} else if (k <= 6.5e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (z * ((b * y0) - (i * y1)))
	t_2 = (i * y1) - (b * y0)
	t_3 = x * t_2
	t_4 = (t * j) - (y * k)
	t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	t_6 = y * ((a * b) - (c * i))
	tmp = 0
	if k <= -4.5e+83:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -7.2e+30:
		tmp = t_1
	elif k <= -1450000.0:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif k <= -6.6e-19:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= -1.7e-48:
		tmp = t_5
	elif k <= -1.4e-49:
		tmp = a * ((x * y) * b)
	elif k <= -3.35e-115:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))))
	elif k <= -4.4e-167:
		tmp = j * t_3
	elif k <= -4.8e-262:
		tmp = t_5
	elif k <= -1.02e-289:
		tmp = x * t_6
	elif k <= 3.4e-168:
		tmp = j * ((t * ((b * y4) - (i * y5))) + t_3)
	elif k <= 7.5e-141:
		tmp = x * (a * (y1 * -y2))
	elif k <= 4e+116:
		tmp = x * ((t_6 + (y2 * ((c * y0) - (a * y1)))) + (j * t_2))
	elif k <= 6.5e+228:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_2 = Float64(Float64(i * y1) - Float64(b * y0))
	t_3 = Float64(x * t_2)
	t_4 = Float64(Float64(t * j) - Float64(y * k))
	t_5 = Float64(y4 * Float64(Float64(Float64(b * t_4) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_6 = Float64(y * Float64(Float64(a * b) - Float64(c * i)))
	tmp = 0.0
	if (k <= -4.5e+83)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -7.2e+30)
		tmp = t_1;
	elseif (k <= -1450000.0)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (k <= -6.6e-19)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= -1.7e-48)
		tmp = t_5;
	elseif (k <= -1.4e-49)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (k <= -3.35e-115)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * Float64(Float64(z * t) - Float64(x * y))))));
	elseif (k <= -4.4e-167)
		tmp = Float64(j * t_3);
	elseif (k <= -4.8e-262)
		tmp = t_5;
	elseif (k <= -1.02e-289)
		tmp = Float64(x * t_6);
	elseif (k <= 3.4e-168)
		tmp = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + t_3));
	elseif (k <= 7.5e-141)
		tmp = Float64(x * Float64(a * Float64(y1 * Float64(-y2))));
	elseif (k <= 4e+116)
		tmp = Float64(x * Float64(Float64(t_6 + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_2)));
	elseif (k <= 6.5e+228)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_4)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (z * ((b * y0) - (i * y1)));
	t_2 = (i * y1) - (b * y0);
	t_3 = x * t_2;
	t_4 = (t * j) - (y * k);
	t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	t_6 = y * ((a * b) - (c * i));
	tmp = 0.0;
	if (k <= -4.5e+83)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -7.2e+30)
		tmp = t_1;
	elseif (k <= -1450000.0)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (k <= -6.6e-19)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= -1.7e-48)
		tmp = t_5;
	elseif (k <= -1.4e-49)
		tmp = a * ((x * y) * b);
	elseif (k <= -3.35e-115)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))));
	elseif (k <= -4.4e-167)
		tmp = j * t_3;
	elseif (k <= -4.8e-262)
		tmp = t_5;
	elseif (k <= -1.02e-289)
		tmp = x * t_6;
	elseif (k <= 3.4e-168)
		tmp = j * ((t * ((b * y4) - (i * y5))) + t_3);
	elseif (k <= 7.5e-141)
		tmp = x * (a * (y1 * -y2));
	elseif (k <= 4e+116)
		tmp = x * ((t_6 + (y2 * ((c * y0) - (a * y1)))) + (j * t_2));
	elseif (k <= 6.5e+228)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * t$95$2), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(N[(b * t$95$4), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.5e+83], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.2e+30], t$95$1, If[LessEqual[k, -1450000.0], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -6.6e-19], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.7e-48], t$95$5, If[LessEqual[k, -1.4e-49], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.35e-115], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.4e-167], N[(j * t$95$3), $MachinePrecision], If[LessEqual[k, -4.8e-262], t$95$5, If[LessEqual[k, -1.02e-289], N[(x * t$95$6), $MachinePrecision], If[LessEqual[k, 3.4e-168], N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 7.5e-141], N[(x * N[(a * N[(y1 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4e+116], N[(x * N[(N[(t$95$6 + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.5e+228], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if k < -4.4999999999999999e83

   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 i around -inf 51.4%

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

   3. Taylor expanded in k around -inf 56.4%

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

      1. associate-*r* 56.4%

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

      2. neg-mul-1 56.4%

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

      3. *-commutative 56.4%

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

   5. Simplified 56.4%

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

   if -4.4999999999999999e83 < k < -7.2000000000000004e30 or 6.5e228 < k

   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 k around inf 71.4%

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

   3. Taylor expanded in z around inf 75.8%

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

      1. *-commutative 75.8%

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

      2. *-commutative 75.8%

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

   5. Simplified 75.8%

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

   if -7.2000000000000004e30 < k < -1.45e6

   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 55.9%

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

   3. Taylor expanded in c around inf 56.0%

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

      1. +-commutative 56.0%

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

      2. mul-1-neg 56.0%

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

      3. unsub-neg 56.0%

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

      4. *-commutative 56.0%

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

      5. *-commutative 56.0%

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

   5. Applied egg-rr 56.0%

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

   if -1.45e6 < k < -6.5999999999999995e-19

   1. Initial program 26.5%

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

   2. Taylor expanded in c around inf 25.4%

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

   3. Taylor expanded in y0 around inf 75.4%

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

   if -6.5999999999999995e-19 < k < -1.70000000000000014e-48 or -4.3999999999999999e-167 < k < -4.8000000000000001e-262

   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 y4 around inf 64.3%

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

   if -1.70000000000000014e-48 < k < -1.39999999999999999e-49

   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 y around inf 100.0%

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

   3. Taylor expanded in x around inf 100.0%

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

   4. Taylor expanded in a around inf 100.0%

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

   if -1.39999999999999999e-49 < k < -3.3500000000000001e-115

   1. Initial program 28.2%

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

   2. Taylor expanded in i around -inf 67.0%

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

   if -3.3500000000000001e-115 < k < -4.3999999999999999e-167

   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 j around inf 62.5%

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

   3. Taylor expanded in x around inf 87.5%

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

   if -4.8000000000000001e-262 < k < -1.02e-289

   1. Initial program 66.7%

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

   2. Taylor expanded in y around inf 67.5%

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

   3. Taylor expanded in x around inf 84.1%

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

   if -1.02e-289 < k < 3.40000000000000022e-168

   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 j around inf 42.6%

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

   3. Taylor expanded in y3 around 0 56.2%

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

      1. cancel-sign-sub-inv 56.2%

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

      2. *-commutative 56.2%

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

      3. *-commutative 56.2%

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

      4. cancel-sign-sub-inv 56.2%

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

   5. Simplified 56.2%

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

   if 3.40000000000000022e-168 < k < 7.50000000000000046e-141

   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 37.5%

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

   3. Taylor expanded in y2 around inf 50.6%

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

   4. Taylor expanded in c around 0 63.2%

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

      1. mul-1-neg 63.2%

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

      2. *-commutative 63.2%

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

      3. distribute-rgt-neg-in 63.2%

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

      4. *-commutative 63.2%

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

   6. Simplified 63.2%

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

   if 7.50000000000000046e-141 < k < 4.00000000000000006e116

   1. Initial program 22.1%

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

   2. Taylor expanded in x around inf 58.3%

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

   if 4.00000000000000006e116 < k < 6.5e228

   1. Initial program 17.2%

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

   2. Taylor expanded in b around inf 58.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 62.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.5 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{+30}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1450000:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -6.6 \cdot 10^{-19}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -1.7 \cdot 10^{-48}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-49}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq -3.35 \cdot 10^{-115}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;k \leq -4.4 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{-262}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.02 \cdot 10^{-289}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 3.4 \cdot 10^{-168}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y1 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;k \leq 4 \cdot 10^{+116}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 4: 39.8% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot y3 - t \cdot y2\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := c \cdot y4 - a \cdot y5\\ t_4 := y \cdot k - t \cdot j\\ t_5 := j \cdot y3 - k \cdot y2\\ t_6 := y0 \cdot \left(\left(y5 \cdot t_5 + c \cdot t_2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_7 := 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 t_3\right)\\ t_8 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t_1\right)\\ t_9 := z \cdot t - x \cdot y\\ \mathbf{if}\;y4 \leq -2.6 \cdot 10^{+177}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(\left(i \cdot t_9 + y0 \cdot t_2\right) + y4 \cdot t_1\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;y4 \leq -8.4 \cdot 10^{-60}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot t_4 + y0 \cdot t_5\right)\right)\\ \mathbf{elif}\;y4 \leq -6.7 \cdot 10^{-80}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot t_4 + c \cdot t_9\right)\right)\\ \mathbf{elif}\;y4 \leq -3.9 \cdot 10^{-287}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{-130}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y4 \leq 7 \cdot 10^{-50}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 2.15 \cdot 10^{+23}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y4 \leq 6.6 \cdot 10^{+86}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{+131}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{+204} \lor \neg \left(y4 \leq 1.3 \cdot 10^{+279}\right):\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot t_3 + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\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 (- (* y y3) (* t y2)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* c y4) (* a y5)))
        (t_4 (- (* y k) (* t j)))
        (t_5 (- (* j y3) (* k y2)))
        (t_6 (* y0 (+ (+ (* y5 t_5) (* c t_2)) (* b (- (* z k) (* x j))))))
        (t_7
         (*
          y
          (+
           (+ (* k (- (* i y5) (* b y4))) (* x (- (* a b) (* c i))))
           (* y3 t_3))))
        (t_8
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c t_1))))
        (t_9 (- (* z t) (* x y))))
   (if (<= y4 -2.6e+177)
     t_8
     (if (<= y4 -1.8e+84)
       (* c (+ (+ (* i t_9) (* y0 t_2)) (* y4 t_1)))
       (if (<= y4 -1.7e+84)
         (* c (* (* z t) i))
         (if (<= y4 -8.4e-60)
           (* y5 (+ (* a (- (* t y2) (* y y3))) (+ (* i t_4) (* y0 t_5))))
           (if (<= y4 -6.7e-80)
             (* i (+ (* y1 (- (* x j) (* z k))) (+ (* y5 t_4) (* c t_9))))
             (if (<= y4 -3.9e-287)
               t_7
               (if (<= y4 1.4e-130)
                 t_6
                 (if (<= y4 7e-50)
                   (*
                    j
                    (+
                     (* t (- (* b y4) (* i y5)))
                     (* x (- (* i y1) (* b y0)))))
                   (if (<= y4 2.15e+23)
                     t_7
                     (if (<= y4 6.6e+86)
                       (*
                        y2
                        (+
                         (+
                          (* k (- (* y1 y4) (* y0 y5)))
                          (* x (- (* c y0) (* a y1))))
                         (* t (- (* a y5) (* c y4)))))
                       (if (<= y4 1.65e+131)
                         t_6
                         (if (or (<= y4 1.65e+204) (not (<= y4 1.3e+279)))
                           t_8
                           (*
                            y3
                            (+
                             (* y t_3)
                             (+
                              (* j (- (* y0 y5) (* y1 y4)))
                              (* z (- (* a y1) (* c y0))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * y3) - (t * y2);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = (y * k) - (t * j);
	double t_5 = (j * y3) - (k * y2);
	double t_6 = y0 * (((y5 * t_5) + (c * t_2)) + (b * ((z * k) - (x * j))));
	double t_7 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	double t_8 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	double t_9 = (z * t) - (x * y);
	double tmp;
	if (y4 <= -2.6e+177) {
		tmp = t_8;
	} else if (y4 <= -1.8e+84) {
		tmp = c * (((i * t_9) + (y0 * t_2)) + (y4 * t_1));
	} else if (y4 <= -1.7e+84) {
		tmp = c * ((z * t) * i);
	} else if (y4 <= -8.4e-60) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_4) + (y0 * t_5)));
	} else if (y4 <= -6.7e-80) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * t_4) + (c * t_9)));
	} else if (y4 <= -3.9e-287) {
		tmp = t_7;
	} else if (y4 <= 1.4e-130) {
		tmp = t_6;
	} else if (y4 <= 7e-50) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	} else if (y4 <= 2.15e+23) {
		tmp = t_7;
	} else if (y4 <= 6.6e+86) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.65e+131) {
		tmp = t_6;
	} else if ((y4 <= 1.65e+204) || !(y4 <= 1.3e+279)) {
		tmp = t_8;
	} else {
		tmp = y3 * ((y * t_3) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * 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) :: t_9
    real(8) :: tmp
    t_1 = (y * y3) - (t * y2)
    t_2 = (x * y2) - (z * y3)
    t_3 = (c * y4) - (a * y5)
    t_4 = (y * k) - (t * j)
    t_5 = (j * y3) - (k * y2)
    t_6 = y0 * (((y5 * t_5) + (c * t_2)) + (b * ((z * k) - (x * j))))
    t_7 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3))
    t_8 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1))
    t_9 = (z * t) - (x * y)
    if (y4 <= (-2.6d+177)) then
        tmp = t_8
    else if (y4 <= (-1.8d+84)) then
        tmp = c * (((i * t_9) + (y0 * t_2)) + (y4 * t_1))
    else if (y4 <= (-1.7d+84)) then
        tmp = c * ((z * t) * i)
    else if (y4 <= (-8.4d-60)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_4) + (y0 * t_5)))
    else if (y4 <= (-6.7d-80)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * t_4) + (c * t_9)))
    else if (y4 <= (-3.9d-287)) then
        tmp = t_7
    else if (y4 <= 1.4d-130) then
        tmp = t_6
    else if (y4 <= 7d-50) then
        tmp = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))))
    else if (y4 <= 2.15d+23) then
        tmp = t_7
    else if (y4 <= 6.6d+86) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= 1.65d+131) then
        tmp = t_6
    else if ((y4 <= 1.65d+204) .or. (.not. (y4 <= 1.3d+279))) then
        tmp = t_8
    else
        tmp = y3 * ((y * t_3) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * y3) - (t * y2);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = (y * k) - (t * j);
	double t_5 = (j * y3) - (k * y2);
	double t_6 = y0 * (((y5 * t_5) + (c * t_2)) + (b * ((z * k) - (x * j))));
	double t_7 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	double t_8 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	double t_9 = (z * t) - (x * y);
	double tmp;
	if (y4 <= -2.6e+177) {
		tmp = t_8;
	} else if (y4 <= -1.8e+84) {
		tmp = c * (((i * t_9) + (y0 * t_2)) + (y4 * t_1));
	} else if (y4 <= -1.7e+84) {
		tmp = c * ((z * t) * i);
	} else if (y4 <= -8.4e-60) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_4) + (y0 * t_5)));
	} else if (y4 <= -6.7e-80) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * t_4) + (c * t_9)));
	} else if (y4 <= -3.9e-287) {
		tmp = t_7;
	} else if (y4 <= 1.4e-130) {
		tmp = t_6;
	} else if (y4 <= 7e-50) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	} else if (y4 <= 2.15e+23) {
		tmp = t_7;
	} else if (y4 <= 6.6e+86) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.65e+131) {
		tmp = t_6;
	} else if ((y4 <= 1.65e+204) || !(y4 <= 1.3e+279)) {
		tmp = t_8;
	} else {
		tmp = y3 * ((y * t_3) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y * y3) - (t * y2)
	t_2 = (x * y2) - (z * y3)
	t_3 = (c * y4) - (a * y5)
	t_4 = (y * k) - (t * j)
	t_5 = (j * y3) - (k * y2)
	t_6 = y0 * (((y5 * t_5) + (c * t_2)) + (b * ((z * k) - (x * j))))
	t_7 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3))
	t_8 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1))
	t_9 = (z * t) - (x * y)
	tmp = 0
	if y4 <= -2.6e+177:
		tmp = t_8
	elif y4 <= -1.8e+84:
		tmp = c * (((i * t_9) + (y0 * t_2)) + (y4 * t_1))
	elif y4 <= -1.7e+84:
		tmp = c * ((z * t) * i)
	elif y4 <= -8.4e-60:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_4) + (y0 * t_5)))
	elif y4 <= -6.7e-80:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * t_4) + (c * t_9)))
	elif y4 <= -3.9e-287:
		tmp = t_7
	elif y4 <= 1.4e-130:
		tmp = t_6
	elif y4 <= 7e-50:
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))))
	elif y4 <= 2.15e+23:
		tmp = t_7
	elif y4 <= 6.6e+86:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y4 <= 1.65e+131:
		tmp = t_6
	elif (y4 <= 1.65e+204) or not (y4 <= 1.3e+279):
		tmp = t_8
	else:
		tmp = y3 * ((y * t_3) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y * y3) - Float64(t * y2))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(c * y4) - Float64(a * y5))
	t_4 = Float64(Float64(y * k) - Float64(t * j))
	t_5 = Float64(Float64(j * y3) - Float64(k * y2))
	t_6 = Float64(y0 * Float64(Float64(Float64(y5 * t_5) + Float64(c * t_2)) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	t_7 = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * Float64(Float64(a * b) - Float64(c * i)))) + Float64(y3 * t_3)))
	t_8 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_1)))
	t_9 = Float64(Float64(z * t) - Float64(x * y))
	tmp = 0.0
	if (y4 <= -2.6e+177)
		tmp = t_8;
	elseif (y4 <= -1.8e+84)
		tmp = Float64(c * Float64(Float64(Float64(i * t_9) + Float64(y0 * t_2)) + Float64(y4 * t_1)));
	elseif (y4 <= -1.7e+84)
		tmp = Float64(c * Float64(Float64(z * t) * i));
	elseif (y4 <= -8.4e-60)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * t_4) + Float64(y0 * t_5))));
	elseif (y4 <= -6.7e-80)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * t_4) + Float64(c * t_9))));
	elseif (y4 <= -3.9e-287)
		tmp = t_7;
	elseif (y4 <= 1.4e-130)
		tmp = t_6;
	elseif (y4 <= 7e-50)
		tmp = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y4 <= 2.15e+23)
		tmp = t_7;
	elseif (y4 <= 6.6e+86)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= 1.65e+131)
		tmp = t_6;
	elseif ((y4 <= 1.65e+204) || !(y4 <= 1.3e+279))
		tmp = t_8;
	else
		tmp = Float64(y3 * Float64(Float64(y * t_3) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y * y3) - (t * y2);
	t_2 = (x * y2) - (z * y3);
	t_3 = (c * y4) - (a * y5);
	t_4 = (y * k) - (t * j);
	t_5 = (j * y3) - (k * y2);
	t_6 = y0 * (((y5 * t_5) + (c * t_2)) + (b * ((z * k) - (x * j))));
	t_7 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	t_8 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	t_9 = (z * t) - (x * y);
	tmp = 0.0;
	if (y4 <= -2.6e+177)
		tmp = t_8;
	elseif (y4 <= -1.8e+84)
		tmp = c * (((i * t_9) + (y0 * t_2)) + (y4 * t_1));
	elseif (y4 <= -1.7e+84)
		tmp = c * ((z * t) * i);
	elseif (y4 <= -8.4e-60)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * t_4) + (y0 * t_5)));
	elseif (y4 <= -6.7e-80)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * t_4) + (c * t_9)));
	elseif (y4 <= -3.9e-287)
		tmp = t_7;
	elseif (y4 <= 1.4e-130)
		tmp = t_6;
	elseif (y4 <= 7e-50)
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	elseif (y4 <= 2.15e+23)
		tmp = t_7;
	elseif (y4 <= 6.6e+86)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= 1.65e+131)
		tmp = t_6;
	elseif ((y4 <= 1.65e+204) || ~((y4 <= 1.3e+279)))
		tmp = t_8;
	else
		tmp = y3 * ((y * t_3) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y0 * N[(N[(N[(y5 * t$95$5), $MachinePrecision] + N[(c * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.6e+177], t$95$8, If[LessEqual[y4, -1.8e+84], N[(c * N[(N[(N[(i * t$95$9), $MachinePrecision] + N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.7e+84], N[(c * N[(N[(z * t), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -8.4e-60], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$4), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.7e-80], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * t$95$4), $MachinePrecision] + N[(c * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.9e-287], t$95$7, If[LessEqual[y4, 1.4e-130], t$95$6, If[LessEqual[y4, 7e-50], N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.15e+23], t$95$7, If[LessEqual[y4, 6.6e+86], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.65e+131], t$95$6, If[Or[LessEqual[y4, 1.65e+204], N[Not[LessEqual[y4, 1.3e+279]], $MachinePrecision]], t$95$8, N[(y3 * N[(N[(y * t$95$3), $MachinePrecision] + N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -2.59999999999999979e177 or 1.6499999999999999e131 < y4 < 1.6499999999999999e204 or 1.3000000000000001e279 < y4

   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 y4 around inf 73.8%

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

   if -2.59999999999999979e177 < y4 < -1.8e84

   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 c around inf 68.4%

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

   if -1.8e84 < y4 < -1.6999999999999999e84

   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 c around inf 0.0%

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

   3. Taylor expanded in i around inf 100.0%

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

      1. mul-1-neg 100.0%

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

      2. *-commutative 100.0%

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

      3. distribute-rgt-neg-out 100.0%

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

      4. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   6. Taylor expanded in x around 0 100.0%

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

      1. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -1.6999999999999999e84 < y4 < -8.39999999999999964e-60

   1. Initial program 13.6%

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

   2. Taylor expanded in y5 around -inf 68.4%

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

   if -8.39999999999999964e-60 < y4 < -6.70000000000000002e-80

   1. Initial program 33.3%

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

   2. Taylor expanded in i around -inf 100.0%

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

   if -6.70000000000000002e-80 < y4 < -3.9e-287 or 6.99999999999999993e-50 < y4 < 2.1499999999999999e23

   1. Initial program 42.7%

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

   2. Taylor expanded in y around inf 58.6%

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

   if -3.9e-287 < y4 < 1.40000000000000008e-130 or 6.5999999999999998e86 < y4 < 1.6499999999999999e131

   1. Initial program 31.1%

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

   2. Taylor expanded in y0 around inf 59.5%

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

   if 1.40000000000000008e-130 < y4 < 6.99999999999999993e-50

   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 j around inf 53.2%

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

   3. Taylor expanded in y3 around 0 58.9%

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

      1. cancel-sign-sub-inv 58.9%

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

      2. *-commutative 58.9%

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

      3. *-commutative 58.9%

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

      4. cancel-sign-sub-inv 58.9%

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

   5. Simplified 58.9%

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

   if 2.1499999999999999e23 < y4 < 6.5999999999999998e86

   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 67.3%

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

   if 1.6499999999999999e204 < y4 < 1.3000000000000001e279

   1. Initial program 19.0%

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

   2. Taylor expanded in y3 around -inf 72.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 66.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.6 \cdot 10^{+177}:\\ \;\;\;\;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 -1.8 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;y4 \leq -8.4 \cdot 10^{-60}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -6.7 \cdot 10^{-80}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -3.9 \cdot 10^{-287}:\\ \;\;\;\;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}\;y4 \leq 1.4 \cdot 10^{-130}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 7 \cdot 10^{-50}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 2.15 \cdot 10^{+23}:\\ \;\;\;\;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}\;y4 \leq 6.6 \cdot 10^{+86}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{+131}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{+204} \lor \neg \left(y4 \leq 1.3 \cdot 10^{+279}\right):\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \end{array} \]

Alternative 5: 38.3% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_2 := t \cdot j - y \cdot k\\ t_3 := i \cdot y1 - b \cdot y0\\ t_4 := x \cdot t_3\\ t_5 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + t_4\right)\\ t_6 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_3\right)\\ \mathbf{if}\;k \leq -4.3 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.35 \cdot 10^{+44}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -4.5 \cdot 10^{-19}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;k \leq -1.25 \cdot 10^{-81}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_2 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -5.9 \cdot 10^{-95}:\\ \;\;\;\;\left(t \cdot c\right) \cdot \left(z \cdot i - y2 \cdot y4\right)\\ \mathbf{elif}\;k \leq -2 \cdot 10^{-167}:\\ \;\;\;\;j \cdot t_4\\ \mathbf{elif}\;k \leq -6.2 \cdot 10^{-246}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;k \leq -3.15 \cdot 10^{-260}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -3.5 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-166}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 3.85 \cdot 10^{+115}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;k \leq 2.5 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_2\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* z (- (* b y0) (* i y1)))))
        (t_2 (- (* t j) (* y k)))
        (t_3 (- (* i y1) (* b y0)))
        (t_4 (* x t_3))
        (t_5 (* j (+ (* t (- (* b y4) (* i y5))) t_4)))
        (t_6
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j t_3)))))
   (if (<= k -4.3e+83)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -1.35e+44)
       t_1
       (if (<= k -4.5e-19)
         (*
          y5
          (+
           (* a (- (* t y2) (* y y3)))
           (+ (* i (- (* y k) (* t j))) (* y0 (- (* j y3) (* k y2))))))
         (if (<= k -1.25e-81)
           (*
            y4
            (+
             (+ (* b t_2) (* y1 (- (* k y2) (* j y3))))
             (* c (- (* y y3) (* t y2)))))
           (if (<= k -5.9e-95)
             (* (* t c) (- (* z i) (* y2 y4)))
             (if (<= k -2e-167)
               (* j t_4)
               (if (<= k -6.2e-246)
                 t_6
                 (if (<= k -3.15e-260)
                   t_5
                   (if (<= k -3.5e-282)
                     (* x (* a (- (* y b) (* y1 y2))))
                     (if (<= k 8.5e-166)
                       t_5
                       (if (<= k 3.85e+115)
                         t_6
                         (if (<= k 2.5e+228)
                           (*
                            b
                            (+
                             (+ (* a (- (* x y) (* z t))) (* y4 t_2))
                             (* y0 (- (* z k) (* x j)))))
                           t_1))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = (t * j) - (y * k);
	double t_3 = (i * y1) - (b * y0);
	double t_4 = x * t_3;
	double t_5 = j * ((t * ((b * y4) - (i * y5))) + t_4);
	double t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	double tmp;
	if (k <= -4.3e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.35e+44) {
		tmp = t_1;
	} else if (k <= -4.5e-19) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (k <= -1.25e-81) {
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= -5.9e-95) {
		tmp = (t * c) * ((z * i) - (y2 * y4));
	} else if (k <= -2e-167) {
		tmp = j * t_4;
	} else if (k <= -6.2e-246) {
		tmp = t_6;
	} else if (k <= -3.15e-260) {
		tmp = t_5;
	} else if (k <= -3.5e-282) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 8.5e-166) {
		tmp = t_5;
	} else if (k <= 3.85e+115) {
		tmp = t_6;
	} else if (k <= 2.5e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = k * (z * ((b * y0) - (i * y1)))
    t_2 = (t * j) - (y * k)
    t_3 = (i * y1) - (b * y0)
    t_4 = x * t_3
    t_5 = j * ((t * ((b * y4) - (i * y5))) + t_4)
    t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
    if (k <= (-4.3d+83)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-1.35d+44)) then
        tmp = t_1
    else if (k <= (-4.5d-19)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
    else if (k <= (-1.25d-81)) then
        tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (k <= (-5.9d-95)) then
        tmp = (t * c) * ((z * i) - (y2 * y4))
    else if (k <= (-2d-167)) then
        tmp = j * t_4
    else if (k <= (-6.2d-246)) then
        tmp = t_6
    else if (k <= (-3.15d-260)) then
        tmp = t_5
    else if (k <= (-3.5d-282)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (k <= 8.5d-166) then
        tmp = t_5
    else if (k <= 3.85d+115) then
        tmp = t_6
    else if (k <= 2.5d+228) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = (t * j) - (y * k);
	double t_3 = (i * y1) - (b * y0);
	double t_4 = x * t_3;
	double t_5 = j * ((t * ((b * y4) - (i * y5))) + t_4);
	double t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	double tmp;
	if (k <= -4.3e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.35e+44) {
		tmp = t_1;
	} else if (k <= -4.5e-19) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (k <= -1.25e-81) {
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= -5.9e-95) {
		tmp = (t * c) * ((z * i) - (y2 * y4));
	} else if (k <= -2e-167) {
		tmp = j * t_4;
	} else if (k <= -6.2e-246) {
		tmp = t_6;
	} else if (k <= -3.15e-260) {
		tmp = t_5;
	} else if (k <= -3.5e-282) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 8.5e-166) {
		tmp = t_5;
	} else if (k <= 3.85e+115) {
		tmp = t_6;
	} else if (k <= 2.5e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (z * ((b * y0) - (i * y1)))
	t_2 = (t * j) - (y * k)
	t_3 = (i * y1) - (b * y0)
	t_4 = x * t_3
	t_5 = j * ((t * ((b * y4) - (i * y5))) + t_4)
	t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
	tmp = 0
	if k <= -4.3e+83:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -1.35e+44:
		tmp = t_1
	elif k <= -4.5e-19:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
	elif k <= -1.25e-81:
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif k <= -5.9e-95:
		tmp = (t * c) * ((z * i) - (y2 * y4))
	elif k <= -2e-167:
		tmp = j * t_4
	elif k <= -6.2e-246:
		tmp = t_6
	elif k <= -3.15e-260:
		tmp = t_5
	elif k <= -3.5e-282:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif k <= 8.5e-166:
		tmp = t_5
	elif k <= 3.85e+115:
		tmp = t_6
	elif k <= 2.5e+228:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(Float64(i * y1) - Float64(b * y0))
	t_4 = Float64(x * t_3)
	t_5 = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + t_4))
	t_6 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_3)))
	tmp = 0.0
	if (k <= -4.3e+83)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -1.35e+44)
		tmp = t_1;
	elseif (k <= -4.5e-19)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (k <= -1.25e-81)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_2) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (k <= -5.9e-95)
		tmp = Float64(Float64(t * c) * Float64(Float64(z * i) - Float64(y2 * y4)));
	elseif (k <= -2e-167)
		tmp = Float64(j * t_4);
	elseif (k <= -6.2e-246)
		tmp = t_6;
	elseif (k <= -3.15e-260)
		tmp = t_5;
	elseif (k <= -3.5e-282)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= 8.5e-166)
		tmp = t_5;
	elseif (k <= 3.85e+115)
		tmp = t_6;
	elseif (k <= 2.5e+228)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_2)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (z * ((b * y0) - (i * y1)));
	t_2 = (t * j) - (y * k);
	t_3 = (i * y1) - (b * y0);
	t_4 = x * t_3;
	t_5 = j * ((t * ((b * y4) - (i * y5))) + t_4);
	t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	tmp = 0.0;
	if (k <= -4.3e+83)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -1.35e+44)
		tmp = t_1;
	elseif (k <= -4.5e-19)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	elseif (k <= -1.25e-81)
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (k <= -5.9e-95)
		tmp = (t * c) * ((z * i) - (y2 * y4));
	elseif (k <= -2e-167)
		tmp = j * t_4;
	elseif (k <= -6.2e-246)
		tmp = t_6;
	elseif (k <= -3.15e-260)
		tmp = t_5;
	elseif (k <= -3.5e-282)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (k <= 8.5e-166)
		tmp = t_5;
	elseif (k <= 3.85e+115)
		tmp = t_6;
	elseif (k <= 2.5e+228)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(x * t$95$3), $MachinePrecision]}, Block[{t$95$5 = N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.3e+83], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.35e+44], t$95$1, If[LessEqual[k, -4.5e-19], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.25e-81], N[(y4 * N[(N[(N[(b * t$95$2), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5.9e-95], N[(N[(t * c), $MachinePrecision] * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2e-167], N[(j * t$95$4), $MachinePrecision], If[LessEqual[k, -6.2e-246], t$95$6, If[LessEqual[k, -3.15e-260], t$95$5, If[LessEqual[k, -3.5e-282], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.5e-166], t$95$5, If[LessEqual[k, 3.85e+115], t$95$6, If[LessEqual[k, 2.5e+228], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -4.3e83

   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 i around -inf 51.4%

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

   3. Taylor expanded in k around -inf 56.4%

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

      1. associate-*r* 56.4%

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

      2. neg-mul-1 56.4%

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

      3. *-commutative 56.4%

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

   5. Simplified 56.4%

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

   if -4.3e83 < k < -1.35e44 or 2.5e228 < k

   1. Initial program 26.9%

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

   2. Taylor expanded in k around inf 73.1%

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

   3. Taylor expanded in z around inf 77.6%

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

      1. *-commutative 77.6%

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

      2. *-commutative 77.6%

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

   5. Simplified 77.6%

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

   if -1.35e44 < k < -4.50000000000000013e-19

   1. Initial program 47.0%

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

   2. Taylor expanded in y5 around -inf 67.3%

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

   if -4.50000000000000013e-19 < k < -1.24999999999999995e-81

   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 y4 around inf 66.6%

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

   if -1.24999999999999995e-81 < k < -5.8999999999999998e-95

   1. Initial program 25.0%

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

   2. Taylor expanded in c around inf 51.0%

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

   3. Taylor expanded in t around inf 100.0%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   if -5.8999999999999998e-95 < k < -2e-167

   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 j around inf 42.9%

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

   3. Taylor expanded in x around inf 71.6%

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

   if -2e-167 < k < -6.2000000000000001e-246 or 8.5e-166 < k < 3.84999999999999984e115

   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 x around inf 58.4%

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

   if -6.2000000000000001e-246 < k < -3.14999999999999989e-260 or -3.50000000000000006e-282 < k < 8.5e-166

   1. Initial program 39.7%

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

   2. Taylor expanded in j around inf 45.4%

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

   3. Taylor expanded in y3 around 0 59.1%

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

      1. cancel-sign-sub-inv 59.1%

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

      2. *-commutative 59.1%

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

      3. *-commutative 59.1%

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

      4. cancel-sign-sub-inv 59.1%

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

   5. Simplified 59.1%

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

   if -3.14999999999999989e-260 < k < -3.50000000000000006e-282

   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 x around inf 57.1%

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

   3. Taylor expanded in a around inf 85.9%

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

   if 3.84999999999999984e115 < k < 2.5e228

   1. Initial program 17.2%

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

   2. Taylor expanded in b around inf 58.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 63.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.3 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.35 \cdot 10^{+44}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -4.5 \cdot 10^{-19}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;k \leq -1.25 \cdot 10^{-81}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -5.9 \cdot 10^{-95}:\\ \;\;\;\;\left(t \cdot c\right) \cdot \left(z \cdot i - y2 \cdot y4\right)\\ \mathbf{elif}\;k \leq -2 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -6.2 \cdot 10^{-246}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -3.15 \cdot 10^{-260}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -3.5 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-166}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.85 \cdot 10^{+115}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 2.5 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 6: 38.3% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := b \cdot y0 - i \cdot y1\\ t_3 := i \cdot y1 - b \cdot y0\\ t_4 := c \cdot y0 - a \cdot y1\\ t_5 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_4\right) + j \cdot t_3\right)\\ t_6 := x \cdot t_3\\ t_7 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + t_6\right)\\ \mathbf{if}\;k \leq -1.65 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{+33}:\\ \;\;\;\;z \cdot \left(k \cdot t_2 + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot t_4\right)\right)\\ \mathbf{elif}\;k \leq -4.4 \cdot 10^{-19}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;k \leq -1.15 \cdot 10^{-81}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.8 \cdot 10^{-94}:\\ \;\;\;\;\left(t \cdot c\right) \cdot \left(z \cdot i - y2 \cdot y4\right)\\ \mathbf{elif}\;k \leq -1.95 \cdot 10^{-168}:\\ \;\;\;\;j \cdot t_6\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-245}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -4.2 \cdot 10^{-248}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;k \leq -9.5 \cdot 10^{-285}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.02 \cdot 10^{-165}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;k \leq 3.3 \cdot 10^{+114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+229}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot t_2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* b y0) (* i y1)))
        (t_3 (- (* i y1) (* b y0)))
        (t_4 (- (* c y0) (* a y1)))
        (t_5 (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_4)) (* j t_3))))
        (t_6 (* x t_3))
        (t_7 (* j (+ (* t (- (* b y4) (* i y5))) t_6))))
   (if (<= k -1.65e+102)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -3.4e+33)
       (* z (+ (* k t_2) (- (* t (- (* c i) (* a b))) (* y3 t_4))))
       (if (<= k -4.4e-19)
         (*
          y5
          (+
           (* a (- (* t y2) (* y y3)))
           (+ (* i (- (* y k) (* t j))) (* y0 (- (* j y3) (* k y2))))))
         (if (<= k -1.15e-81)
           (*
            y4
            (+
             (+ (* b t_1) (* y1 (- (* k y2) (* j y3))))
             (* c (- (* y y3) (* t y2)))))
           (if (<= k -1.8e-94)
             (* (* t c) (- (* z i) (* y2 y4)))
             (if (<= k -1.95e-168)
               (* j t_6)
               (if (<= k -3.2e-245)
                 t_5
                 (if (<= k -4.2e-248)
                   t_7
                   (if (<= k -9.5e-285)
                     (* x (* a (- (* y b) (* y1 y2))))
                     (if (<= k 1.02e-165)
                       t_7
                       (if (<= k 3.3e+114)
                         t_5
                         (if (<= k 2e+229)
                           (*
                            b
                            (+
                             (+ (* a (- (* x y) (* z t))) (* y4 t_1))
                             (* y0 (- (* z k) (* x j)))))
                           (* k (* z 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 = (t * j) - (y * k);
	double t_2 = (b * y0) - (i * y1);
	double t_3 = (i * y1) - (b * y0);
	double t_4 = (c * y0) - (a * y1);
	double t_5 = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * t_3));
	double t_6 = x * t_3;
	double t_7 = j * ((t * ((b * y4) - (i * y5))) + t_6);
	double tmp;
	if (k <= -1.65e+102) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -3.4e+33) {
		tmp = z * ((k * t_2) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	} else if (k <= -4.4e-19) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (k <= -1.15e-81) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= -1.8e-94) {
		tmp = (t * c) * ((z * i) - (y2 * y4));
	} else if (k <= -1.95e-168) {
		tmp = j * t_6;
	} else if (k <= -3.2e-245) {
		tmp = t_5;
	} else if (k <= -4.2e-248) {
		tmp = t_7;
	} else if (k <= -9.5e-285) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 1.02e-165) {
		tmp = t_7;
	} else if (k <= 3.3e+114) {
		tmp = t_5;
	} else if (k <= 2e+229) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = k * (z * t_2);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = (b * y0) - (i * y1)
    t_3 = (i * y1) - (b * y0)
    t_4 = (c * y0) - (a * y1)
    t_5 = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * t_3))
    t_6 = x * t_3
    t_7 = j * ((t * ((b * y4) - (i * y5))) + t_6)
    if (k <= (-1.65d+102)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-3.4d+33)) then
        tmp = z * ((k * t_2) + ((t * ((c * i) - (a * b))) - (y3 * t_4)))
    else if (k <= (-4.4d-19)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
    else if (k <= (-1.15d-81)) then
        tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (k <= (-1.8d-94)) then
        tmp = (t * c) * ((z * i) - (y2 * y4))
    else if (k <= (-1.95d-168)) then
        tmp = j * t_6
    else if (k <= (-3.2d-245)) then
        tmp = t_5
    else if (k <= (-4.2d-248)) then
        tmp = t_7
    else if (k <= (-9.5d-285)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (k <= 1.02d-165) then
        tmp = t_7
    else if (k <= 3.3d+114) then
        tmp = t_5
    else if (k <= 2d+229) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    else
        tmp = k * (z * 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 = (t * j) - (y * k);
	double t_2 = (b * y0) - (i * y1);
	double t_3 = (i * y1) - (b * y0);
	double t_4 = (c * y0) - (a * y1);
	double t_5 = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * t_3));
	double t_6 = x * t_3;
	double t_7 = j * ((t * ((b * y4) - (i * y5))) + t_6);
	double tmp;
	if (k <= -1.65e+102) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -3.4e+33) {
		tmp = z * ((k * t_2) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	} else if (k <= -4.4e-19) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (k <= -1.15e-81) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= -1.8e-94) {
		tmp = (t * c) * ((z * i) - (y2 * y4));
	} else if (k <= -1.95e-168) {
		tmp = j * t_6;
	} else if (k <= -3.2e-245) {
		tmp = t_5;
	} else if (k <= -4.2e-248) {
		tmp = t_7;
	} else if (k <= -9.5e-285) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 1.02e-165) {
		tmp = t_7;
	} else if (k <= 3.3e+114) {
		tmp = t_5;
	} else if (k <= 2e+229) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = k * (z * 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 = (t * j) - (y * k)
	t_2 = (b * y0) - (i * y1)
	t_3 = (i * y1) - (b * y0)
	t_4 = (c * y0) - (a * y1)
	t_5 = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * t_3))
	t_6 = x * t_3
	t_7 = j * ((t * ((b * y4) - (i * y5))) + t_6)
	tmp = 0
	if k <= -1.65e+102:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -3.4e+33:
		tmp = z * ((k * t_2) + ((t * ((c * i) - (a * b))) - (y3 * t_4)))
	elif k <= -4.4e-19:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
	elif k <= -1.15e-81:
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif k <= -1.8e-94:
		tmp = (t * c) * ((z * i) - (y2 * y4))
	elif k <= -1.95e-168:
		tmp = j * t_6
	elif k <= -3.2e-245:
		tmp = t_5
	elif k <= -4.2e-248:
		tmp = t_7
	elif k <= -9.5e-285:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif k <= 1.02e-165:
		tmp = t_7
	elif k <= 3.3e+114:
		tmp = t_5
	elif k <= 2e+229:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = k * (z * 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(t * j) - Float64(y * k))
	t_2 = Float64(Float64(b * y0) - Float64(i * y1))
	t_3 = Float64(Float64(i * y1) - Float64(b * y0))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	t_5 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_4)) + Float64(j * t_3)))
	t_6 = Float64(x * t_3)
	t_7 = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + t_6))
	tmp = 0.0
	if (k <= -1.65e+102)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -3.4e+33)
		tmp = Float64(z * Float64(Float64(k * t_2) + Float64(Float64(t * Float64(Float64(c * i) - Float64(a * b))) - Float64(y3 * t_4))));
	elseif (k <= -4.4e-19)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (k <= -1.15e-81)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (k <= -1.8e-94)
		tmp = Float64(Float64(t * c) * Float64(Float64(z * i) - Float64(y2 * y4)));
	elseif (k <= -1.95e-168)
		tmp = Float64(j * t_6);
	elseif (k <= -3.2e-245)
		tmp = t_5;
	elseif (k <= -4.2e-248)
		tmp = t_7;
	elseif (k <= -9.5e-285)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= 1.02e-165)
		tmp = t_7;
	elseif (k <= 3.3e+114)
		tmp = t_5;
	elseif (k <= 2e+229)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(k * Float64(z * 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 = (t * j) - (y * k);
	t_2 = (b * y0) - (i * y1);
	t_3 = (i * y1) - (b * y0);
	t_4 = (c * y0) - (a * y1);
	t_5 = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * t_3));
	t_6 = x * t_3;
	t_7 = j * ((t * ((b * y4) - (i * y5))) + t_6);
	tmp = 0.0;
	if (k <= -1.65e+102)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -3.4e+33)
		tmp = z * ((k * t_2) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	elseif (k <= -4.4e-19)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	elseif (k <= -1.15e-81)
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (k <= -1.8e-94)
		tmp = (t * c) * ((z * i) - (y2 * y4));
	elseif (k <= -1.95e-168)
		tmp = j * t_6;
	elseif (k <= -3.2e-245)
		tmp = t_5;
	elseif (k <= -4.2e-248)
		tmp = t_7;
	elseif (k <= -9.5e-285)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (k <= 1.02e-165)
		tmp = t_7;
	elseif (k <= 3.3e+114)
		tmp = t_5;
	elseif (k <= 2e+229)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	else
		tmp = k * (z * 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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(x * t$95$3), $MachinePrecision]}, Block[{t$95$7 = N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.65e+102], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.4e+33], N[(z * N[(N[(k * t$95$2), $MachinePrecision] + N[(N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y3 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.4e-19], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.15e-81], N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.8e-94], N[(N[(t * c), $MachinePrecision] * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.95e-168], N[(j * t$95$6), $MachinePrecision], If[LessEqual[k, -3.2e-245], t$95$5, If[LessEqual[k, -4.2e-248], t$95$7, If[LessEqual[k, -9.5e-285], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.02e-165], t$95$7, If[LessEqual[k, 3.3e+114], t$95$5, If[LessEqual[k, 2e+229], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(z * t$95$2), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if k < -1.64999999999999999e102

   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 i around -inf 51.6%

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

   3. Taylor expanded in k around -inf 60.9%

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

      1. associate-*r* 60.9%

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

      2. neg-mul-1 60.9%

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

      3. *-commutative 60.9%

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

   5. Simplified 60.9%

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

   if -1.64999999999999999e102 < k < -3.3999999999999999e33

   1. Initial program 11.0%

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

   2. Taylor expanded in z around -inf 78.2%

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

   if -3.3999999999999999e33 < k < -4.3999999999999997e-19

   1. Initial program 47.0%

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

   2. Taylor expanded in y5 around -inf 67.3%

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

   if -4.3999999999999997e-19 < k < -1.14999999999999996e-81

   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 y4 around inf 66.6%

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

   if -1.14999999999999996e-81 < k < -1.8e-94

   1. Initial program 25.0%

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

   2. Taylor expanded in c around inf 51.0%

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

   3. Taylor expanded in t around inf 100.0%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   if -1.8e-94 < k < -1.95000000000000006e-168

   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 j around inf 42.9%

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

   3. Taylor expanded in x around inf 71.6%

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

   if -1.95000000000000006e-168 < k < -3.19999999999999986e-245 or 1.02e-165 < k < 3.3000000000000001e114

   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 x around inf 58.4%

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

   if -3.19999999999999986e-245 < k < -4.2e-248 or -9.4999999999999997e-285 < k < 1.02e-165

   1. Initial program 39.7%

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

   2. Taylor expanded in j around inf 45.4%

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

   3. Taylor expanded in y3 around 0 59.1%

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

      1. cancel-sign-sub-inv 59.1%

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

      2. *-commutative 59.1%

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

      3. *-commutative 59.1%

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

      4. cancel-sign-sub-inv 59.1%

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

   5. Simplified 59.1%

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

   if -4.2e-248 < k < -9.4999999999999997e-285

   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 x around inf 57.1%

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

   3. Taylor expanded in a around inf 85.9%

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

   if 3.3000000000000001e114 < k < 2e229

   1. Initial program 17.2%

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

   2. Taylor expanded in b around inf 58.8%

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

   if 2e229 < k

   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 k around inf 75.0%

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

   3. Taylor expanded in z around inf 63.7%

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

      1. *-commutative 63.7%

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

      2. *-commutative 63.7%

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

   5. Simplified 63.7%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(y0 \cdot b - y1 \cdot i\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 63.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.65 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{+33}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;k \leq -4.4 \cdot 10^{-19}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;k \leq -1.15 \cdot 10^{-81}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.8 \cdot 10^{-94}:\\ \;\;\;\;\left(t \cdot c\right) \cdot \left(z \cdot i - y2 \cdot y4\right)\\ \mathbf{elif}\;k \leq -1.95 \cdot 10^{-168}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-245}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -4.2 \cdot 10^{-248}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -9.5 \cdot 10^{-285}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.02 \cdot 10^{-165}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.3 \cdot 10^{+114}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+229}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 7: 35.1% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(z \cdot k - x \cdot j\right)\\ t_2 := z \cdot t - x \cdot y\\ t_3 := b \cdot y4 - i \cdot y5\\ t_4 := y \cdot y3 - t \cdot y2\\ t_5 := c \cdot \left(\left(i \cdot t_2 + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot t_4\right)\\ t_6 := b \cdot y0 - i \cdot y1\\ t_7 := t \cdot j - y \cdot k\\ t_8 := c \cdot i - a \cdot b\\ t_9 := i \cdot y1 - b \cdot y0\\ t_10 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;y3 \leq -5.4 \cdot 10^{+81}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y3 \leq -7.8 \cdot 10^{+38}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t_3 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot t_9\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{+17}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_7\right) + t_1\right)\\ \mathbf{elif}\;y3 \leq -1.35 \cdot 10^{-44}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_10\right) + j \cdot t_9\right)\\ \mathbf{elif}\;y3 \leq -7.5 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(k \cdot t_6 + \left(t \cdot t_8 - y3 \cdot t_10\right)\right)\\ \mathbf{elif}\;y3 \leq -4.1 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_7 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t_4\right)\\ \mathbf{elif}\;y3 \leq -1.2 \cdot 10^{-216}:\\ \;\;\;\;t \cdot \left(\left(z \cdot t_8 + j \cdot t_3\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{-191}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{-109}:\\ \;\;\;\;b \cdot t_1\\ \mathbf{elif}\;y3 \leq 19000000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{+68}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot t_6\right)\\ \mathbf{elif}\;y3 \leq 2.4 \cdot 10^{+121}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot t_2\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 (- (* z k) (* x j))))
        (t_2 (- (* z t) (* x y)))
        (t_3 (- (* b y4) (* i y5)))
        (t_4 (- (* y y3) (* t y2)))
        (t_5 (* c (+ (+ (* i t_2) (* y0 (- (* x y2) (* z y3)))) (* y4 t_4))))
        (t_6 (- (* b y0) (* i y1)))
        (t_7 (- (* t j) (* y k)))
        (t_8 (- (* c i) (* a b)))
        (t_9 (- (* i y1) (* b y0)))
        (t_10 (- (* c y0) (* a y1))))
   (if (<= y3 -5.4e+81)
     t_5
     (if (<= y3 -7.8e+38)
       (* j (+ (+ (* t t_3) (* y3 (- (* y0 y5) (* y1 y4)))) (* x t_9)))
       (if (<= y3 -7.2e+17)
         (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_7)) t_1))
         (if (<= y3 -1.35e-44)
           (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_10)) (* j t_9)))
           (if (<= y3 -7.5e-161)
             (* z (+ (* k t_6) (- (* t t_8) (* y3 t_10))))
             (if (<= y3 -4.1e-199)
               (* y4 (+ (+ (* b t_7) (* y1 (- (* k y2) (* j y3)))) (* c t_4)))
               (if (<= y3 -1.2e-216)
                 (* t (+ (+ (* z t_8) (* j t_3)) (* y2 (- (* a y5) (* c y4)))))
                 (if (<= y3 2.3e-191)
                   t_5
                   (if (<= y3 3.1e-109)
                     (* b t_1)
                     (if (<= y3 19000000000.0)
                       t_5
                       (if (<= y3 5.8e+68)
                         (*
                          k
                          (+
                           (+
                            (* y (- (* i y5) (* b y4)))
                            (* y2 (- (* y1 y4) (* y0 y5))))
                           (* z t_6)))
                         (if (<= y3 2.4e+121)
                           t_5
                           (*
                            i
                            (+
                             (* y1 (- (* x j) (* z k)))
                             (+
                              (* y5 (- (* y k) (* t j)))
                              (* c t_2))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((z * k) - (x * j));
	double t_2 = (z * t) - (x * y);
	double t_3 = (b * y4) - (i * y5);
	double t_4 = (y * y3) - (t * y2);
	double t_5 = c * (((i * t_2) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_4));
	double t_6 = (b * y0) - (i * y1);
	double t_7 = (t * j) - (y * k);
	double t_8 = (c * i) - (a * b);
	double t_9 = (i * y1) - (b * y0);
	double t_10 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -5.4e+81) {
		tmp = t_5;
	} else if (y3 <= -7.8e+38) {
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_9));
	} else if (y3 <= -7.2e+17) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_7)) + t_1);
	} else if (y3 <= -1.35e-44) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_10)) + (j * t_9));
	} else if (y3 <= -7.5e-161) {
		tmp = z * ((k * t_6) + ((t * t_8) - (y3 * t_10)));
	} else if (y3 <= -4.1e-199) {
		tmp = y4 * (((b * t_7) + (y1 * ((k * y2) - (j * y3)))) + (c * t_4));
	} else if (y3 <= -1.2e-216) {
		tmp = t * (((z * t_8) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y3 <= 2.3e-191) {
		tmp = t_5;
	} else if (y3 <= 3.1e-109) {
		tmp = b * t_1;
	} else if (y3 <= 19000000000.0) {
		tmp = t_5;
	} else if (y3 <= 5.8e+68) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * t_6));
	} else if (y3 <= 2.4e+121) {
		tmp = t_5;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = y0 * ((z * k) - (x * j))
    t_2 = (z * t) - (x * y)
    t_3 = (b * y4) - (i * y5)
    t_4 = (y * y3) - (t * y2)
    t_5 = c * (((i * t_2) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_4))
    t_6 = (b * y0) - (i * y1)
    t_7 = (t * j) - (y * k)
    t_8 = (c * i) - (a * b)
    t_9 = (i * y1) - (b * y0)
    t_10 = (c * y0) - (a * y1)
    if (y3 <= (-5.4d+81)) then
        tmp = t_5
    else if (y3 <= (-7.8d+38)) then
        tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_9))
    else if (y3 <= (-7.2d+17)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_7)) + t_1)
    else if (y3 <= (-1.35d-44)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_10)) + (j * t_9))
    else if (y3 <= (-7.5d-161)) then
        tmp = z * ((k * t_6) + ((t * t_8) - (y3 * t_10)))
    else if (y3 <= (-4.1d-199)) then
        tmp = y4 * (((b * t_7) + (y1 * ((k * y2) - (j * y3)))) + (c * t_4))
    else if (y3 <= (-1.2d-216)) then
        tmp = t * (((z * t_8) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))))
    else if (y3 <= 2.3d-191) then
        tmp = t_5
    else if (y3 <= 3.1d-109) then
        tmp = b * t_1
    else if (y3 <= 19000000000.0d0) then
        tmp = t_5
    else if (y3 <= 5.8d+68) then
        tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * t_6))
    else if (y3 <= 2.4d+121) then
        tmp = t_5
    else
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((z * k) - (x * j));
	double t_2 = (z * t) - (x * y);
	double t_3 = (b * y4) - (i * y5);
	double t_4 = (y * y3) - (t * y2);
	double t_5 = c * (((i * t_2) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_4));
	double t_6 = (b * y0) - (i * y1);
	double t_7 = (t * j) - (y * k);
	double t_8 = (c * i) - (a * b);
	double t_9 = (i * y1) - (b * y0);
	double t_10 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -5.4e+81) {
		tmp = t_5;
	} else if (y3 <= -7.8e+38) {
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_9));
	} else if (y3 <= -7.2e+17) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_7)) + t_1);
	} else if (y3 <= -1.35e-44) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_10)) + (j * t_9));
	} else if (y3 <= -7.5e-161) {
		tmp = z * ((k * t_6) + ((t * t_8) - (y3 * t_10)));
	} else if (y3 <= -4.1e-199) {
		tmp = y4 * (((b * t_7) + (y1 * ((k * y2) - (j * y3)))) + (c * t_4));
	} else if (y3 <= -1.2e-216) {
		tmp = t * (((z * t_8) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y3 <= 2.3e-191) {
		tmp = t_5;
	} else if (y3 <= 3.1e-109) {
		tmp = b * t_1;
	} else if (y3 <= 19000000000.0) {
		tmp = t_5;
	} else if (y3 <= 5.8e+68) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * t_6));
	} else if (y3 <= 2.4e+121) {
		tmp = t_5;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * ((z * k) - (x * j))
	t_2 = (z * t) - (x * y)
	t_3 = (b * y4) - (i * y5)
	t_4 = (y * y3) - (t * y2)
	t_5 = c * (((i * t_2) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_4))
	t_6 = (b * y0) - (i * y1)
	t_7 = (t * j) - (y * k)
	t_8 = (c * i) - (a * b)
	t_9 = (i * y1) - (b * y0)
	t_10 = (c * y0) - (a * y1)
	tmp = 0
	if y3 <= -5.4e+81:
		tmp = t_5
	elif y3 <= -7.8e+38:
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_9))
	elif y3 <= -7.2e+17:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_7)) + t_1)
	elif y3 <= -1.35e-44:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_10)) + (j * t_9))
	elif y3 <= -7.5e-161:
		tmp = z * ((k * t_6) + ((t * t_8) - (y3 * t_10)))
	elif y3 <= -4.1e-199:
		tmp = y4 * (((b * t_7) + (y1 * ((k * y2) - (j * y3)))) + (c * t_4))
	elif y3 <= -1.2e-216:
		tmp = t * (((z * t_8) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))))
	elif y3 <= 2.3e-191:
		tmp = t_5
	elif y3 <= 3.1e-109:
		tmp = b * t_1
	elif y3 <= 19000000000.0:
		tmp = t_5
	elif y3 <= 5.8e+68:
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * t_6))
	elif y3 <= 2.4e+121:
		tmp = t_5
	else:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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(y0 * Float64(Float64(z * k) - Float64(x * j)))
	t_2 = Float64(Float64(z * t) - Float64(x * y))
	t_3 = Float64(Float64(b * y4) - Float64(i * y5))
	t_4 = Float64(Float64(y * y3) - Float64(t * y2))
	t_5 = Float64(c * Float64(Float64(Float64(i * t_2) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * t_4)))
	t_6 = Float64(Float64(b * y0) - Float64(i * y1))
	t_7 = Float64(Float64(t * j) - Float64(y * k))
	t_8 = Float64(Float64(c * i) - Float64(a * b))
	t_9 = Float64(Float64(i * y1) - Float64(b * y0))
	t_10 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (y3 <= -5.4e+81)
		tmp = t_5;
	elseif (y3 <= -7.8e+38)
		tmp = Float64(j * Float64(Float64(Float64(t * t_3) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * t_9)));
	elseif (y3 <= -7.2e+17)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_7)) + t_1));
	elseif (y3 <= -1.35e-44)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_10)) + Float64(j * t_9)));
	elseif (y3 <= -7.5e-161)
		tmp = Float64(z * Float64(Float64(k * t_6) + Float64(Float64(t * t_8) - Float64(y3 * t_10))));
	elseif (y3 <= -4.1e-199)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_7) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_4)));
	elseif (y3 <= -1.2e-216)
		tmp = Float64(t * Float64(Float64(Float64(z * t_8) + Float64(j * t_3)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y3 <= 2.3e-191)
		tmp = t_5;
	elseif (y3 <= 3.1e-109)
		tmp = Float64(b * t_1);
	elseif (y3 <= 19000000000.0)
		tmp = t_5;
	elseif (y3 <= 5.8e+68)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) + Float64(z * t_6)));
	elseif (y3 <= 2.4e+121)
		tmp = t_5;
	else
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * t_2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * ((z * k) - (x * j));
	t_2 = (z * t) - (x * y);
	t_3 = (b * y4) - (i * y5);
	t_4 = (y * y3) - (t * y2);
	t_5 = c * (((i * t_2) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_4));
	t_6 = (b * y0) - (i * y1);
	t_7 = (t * j) - (y * k);
	t_8 = (c * i) - (a * b);
	t_9 = (i * y1) - (b * y0);
	t_10 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (y3 <= -5.4e+81)
		tmp = t_5;
	elseif (y3 <= -7.8e+38)
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_9));
	elseif (y3 <= -7.2e+17)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_7)) + t_1);
	elseif (y3 <= -1.35e-44)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_10)) + (j * t_9));
	elseif (y3 <= -7.5e-161)
		tmp = z * ((k * t_6) + ((t * t_8) - (y3 * t_10)));
	elseif (y3 <= -4.1e-199)
		tmp = y4 * (((b * t_7) + (y1 * ((k * y2) - (j * y3)))) + (c * t_4));
	elseif (y3 <= -1.2e-216)
		tmp = t * (((z * t_8) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))));
	elseif (y3 <= 2.3e-191)
		tmp = t_5;
	elseif (y3 <= 3.1e-109)
		tmp = b * t_1;
	elseif (y3 <= 19000000000.0)
		tmp = t_5;
	elseif (y3 <= 5.8e+68)
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * t_6));
	elseif (y3 <= 2.4e+121)
		tmp = t_5;
	else
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(c * N[(N[(N[(i * t$95$2), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -5.4e+81], t$95$5, If[LessEqual[y3, -7.8e+38], N[(j * N[(N[(N[(t * t$95$3), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7.2e+17], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$7), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.35e-44], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7.5e-161], N[(z * N[(N[(k * t$95$6), $MachinePrecision] + N[(N[(t * t$95$8), $MachinePrecision] - N[(y3 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4.1e-199], N[(y4 * N[(N[(N[(b * t$95$7), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.2e-216], N[(t * N[(N[(N[(z * t$95$8), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.3e-191], t$95$5, If[LessEqual[y3, 3.1e-109], N[(b * t$95$1), $MachinePrecision], If[LessEqual[y3, 19000000000.0], t$95$5, If[LessEqual[y3, 5.8e+68], N[(k * N[(N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.4e+121], t$95$5, N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y3 < -5.3999999999999999e81 or -1.20000000000000002e-216 < y3 < 2.30000000000000011e-191 or 3.1e-109 < y3 < 1.9e10 or 5.80000000000000023e68 < y3 < 2.4e121

   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 c around inf 60.7%

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

   if -5.3999999999999999e81 < y3 < -7.80000000000000047e38

   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 j around inf 81.9%

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

   if -7.80000000000000047e38 < y3 < -7.2e17

   1. Initial program 13.5%

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

   2. Taylor expanded in b around inf 74.2%

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

   if -7.2e17 < y3 < -1.35e-44

   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 x around inf 75.0%

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

   if -1.35e-44 < y3 < -7.49999999999999991e-161

   1. Initial program 35.3%

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

   2. Taylor expanded in z around -inf 60.5%

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

   if -7.49999999999999991e-161 < y3 < -4.10000000000000022e-199

   1. Initial program 61.3%

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

   2. Taylor expanded in y4 around inf 84.5%

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

   if -4.10000000000000022e-199 < y3 < -1.20000000000000002e-216

   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 t around inf 72.2%

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

   if 2.30000000000000011e-191 < y3 < 3.1e-109

   1. Initial program 40.2%

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

   2. Taylor expanded in b around inf 55.5%

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

   3. Taylor expanded in y0 around inf 55.9%

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

      1. *-commutative 55.9%

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

      2. *-commutative 55.9%

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

   5. Simplified 55.9%

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

   if 1.9e10 < y3 < 5.80000000000000023e68

   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 k around inf 87.0%

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

   if 2.4e121 < y3

   1. Initial program 25.2%

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

   2. Taylor expanded in i around -inf 56.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 64.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -5.4 \cdot 10^{+81}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -7.8 \cdot 10^{+38}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{+17}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -1.35 \cdot 10^{-44}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -7.5 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.1 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -1.2 \cdot 10^{-216}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{-191}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{-109}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 19000000000:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{+68}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 2.4 \cdot 10^{+121}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \end{array} \]

Alternative 8: 36.6% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_2 := t \cdot j - y \cdot k\\ t_3 := y0 \cdot \left(z \cdot k - x \cdot j\right)\\ t_4 := i \cdot y1 - b \cdot y0\\ t_5 := y4 \cdot \left(\left(b \cdot t_2 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;k \leq -4.2 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.8 \cdot 10^{+29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -8100:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -4.5 \cdot 10^{-19}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -7.6 \cdot 10^{-100}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{-167}:\\ \;\;\;\;b \cdot t_3\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{-284}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-168}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot t_4\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{-140}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y1 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{+112}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_4\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_2\right) + t_3\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* z (- (* b y0) (* i y1)))))
        (t_2 (- (* t j) (* y k)))
        (t_3 (* y0 (- (* z k) (* x j))))
        (t_4 (- (* i y1) (* b y0)))
        (t_5
         (*
          y4
          (+
           (+ (* b t_2) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))))
   (if (<= k -4.2e+83)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -1.8e+29)
       t_1
       (if (<= k -8100.0)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= k -4.5e-19)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= k -7.6e-100)
             t_5
             (if (<= k -5.8e-167)
               (* b t_3)
               (if (<= k -4.6e-284)
                 t_5
                 (if (<= k 2.4e-168)
                   (* j (+ (* t (- (* b y4) (* i y5))) (* x t_4)))
                   (if (<= k 1.4e-140)
                     (* x (* a (* y1 (- y2))))
                     (if (<= k 8.5e+112)
                       (*
                        x
                        (+
                         (+
                          (* y (- (* a b) (* c i)))
                          (* y2 (- (* c y0) (* a y1))))
                         (* j t_4)))
                       (if (<= k 1.6e+228)
                         (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_2)) t_3))
                         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 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = (t * j) - (y * k);
	double t_3 = y0 * ((z * k) - (x * j));
	double t_4 = (i * y1) - (b * y0);
	double t_5 = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (k <= -4.2e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.8e+29) {
		tmp = t_1;
	} else if (k <= -8100.0) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -4.5e-19) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -7.6e-100) {
		tmp = t_5;
	} else if (k <= -5.8e-167) {
		tmp = b * t_3;
	} else if (k <= -4.6e-284) {
		tmp = t_5;
	} else if (k <= 2.4e-168) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * t_4));
	} else if (k <= 1.4e-140) {
		tmp = x * (a * (y1 * -y2));
	} else if (k <= 8.5e+112) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4));
	} else if (k <= 1.6e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + t_3);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = k * (z * ((b * y0) - (i * y1)))
    t_2 = (t * j) - (y * k)
    t_3 = y0 * ((z * k) - (x * j))
    t_4 = (i * y1) - (b * y0)
    t_5 = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    if (k <= (-4.2d+83)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-1.8d+29)) then
        tmp = t_1
    else if (k <= (-8100.0d0)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (k <= (-4.5d-19)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= (-7.6d-100)) then
        tmp = t_5
    else if (k <= (-5.8d-167)) then
        tmp = b * t_3
    else if (k <= (-4.6d-284)) then
        tmp = t_5
    else if (k <= 2.4d-168) then
        tmp = j * ((t * ((b * y4) - (i * y5))) + (x * t_4))
    else if (k <= 1.4d-140) then
        tmp = x * (a * (y1 * -y2))
    else if (k <= 8.5d+112) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))
    else if (k <= 1.6d+228) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + t_3)
    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 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = (t * j) - (y * k);
	double t_3 = y0 * ((z * k) - (x * j));
	double t_4 = (i * y1) - (b * y0);
	double t_5 = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (k <= -4.2e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.8e+29) {
		tmp = t_1;
	} else if (k <= -8100.0) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -4.5e-19) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -7.6e-100) {
		tmp = t_5;
	} else if (k <= -5.8e-167) {
		tmp = b * t_3;
	} else if (k <= -4.6e-284) {
		tmp = t_5;
	} else if (k <= 2.4e-168) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * t_4));
	} else if (k <= 1.4e-140) {
		tmp = x * (a * (y1 * -y2));
	} else if (k <= 8.5e+112) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4));
	} else if (k <= 1.6e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + t_3);
	} 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 = k * (z * ((b * y0) - (i * y1)))
	t_2 = (t * j) - (y * k)
	t_3 = y0 * ((z * k) - (x * j))
	t_4 = (i * y1) - (b * y0)
	t_5 = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if k <= -4.2e+83:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -1.8e+29:
		tmp = t_1
	elif k <= -8100.0:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif k <= -4.5e-19:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= -7.6e-100:
		tmp = t_5
	elif k <= -5.8e-167:
		tmp = b * t_3
	elif k <= -4.6e-284:
		tmp = t_5
	elif k <= 2.4e-168:
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * t_4))
	elif k <= 1.4e-140:
		tmp = x * (a * (y1 * -y2))
	elif k <= 8.5e+112:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))
	elif k <= 1.6e+228:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + t_3)
	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(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))
	t_4 = Float64(Float64(i * y1) - Float64(b * y0))
	t_5 = Float64(y4 * Float64(Float64(Float64(b * t_2) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (k <= -4.2e+83)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -1.8e+29)
		tmp = t_1;
	elseif (k <= -8100.0)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (k <= -4.5e-19)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= -7.6e-100)
		tmp = t_5;
	elseif (k <= -5.8e-167)
		tmp = Float64(b * t_3);
	elseif (k <= -4.6e-284)
		tmp = t_5;
	elseif (k <= 2.4e-168)
		tmp = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * t_4)));
	elseif (k <= 1.4e-140)
		tmp = Float64(x * Float64(a * Float64(y1 * Float64(-y2))));
	elseif (k <= 8.5e+112)
		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 * t_4)));
	elseif (k <= 1.6e+228)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_2)) + t_3));
	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 = k * (z * ((b * y0) - (i * y1)));
	t_2 = (t * j) - (y * k);
	t_3 = y0 * ((z * k) - (x * j));
	t_4 = (i * y1) - (b * y0);
	t_5 = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (k <= -4.2e+83)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -1.8e+29)
		tmp = t_1;
	elseif (k <= -8100.0)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (k <= -4.5e-19)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= -7.6e-100)
		tmp = t_5;
	elseif (k <= -5.8e-167)
		tmp = b * t_3;
	elseif (k <= -4.6e-284)
		tmp = t_5;
	elseif (k <= 2.4e-168)
		tmp = j * ((t * ((b * y4) - (i * y5))) + (x * t_4));
	elseif (k <= 1.4e-140)
		tmp = x * (a * (y1 * -y2));
	elseif (k <= 8.5e+112)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4));
	elseif (k <= 1.6e+228)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + t_3);
	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[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(N[(b * t$95$2), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.2e+83], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.8e+29], t$95$1, If[LessEqual[k, -8100.0], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.5e-19], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.6e-100], t$95$5, If[LessEqual[k, -5.8e-167], N[(b * t$95$3), $MachinePrecision], If[LessEqual[k, -4.6e-284], t$95$5, If[LessEqual[k, 2.4e-168], N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.4e-140], N[(x * N[(a * N[(y1 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.5e+112], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.6e+228], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -4.20000000000000005e83

   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 i around -inf 51.4%

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

   3. Taylor expanded in k around -inf 56.4%

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

      1. associate-*r* 56.4%

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

      2. neg-mul-1 56.4%

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

      3. *-commutative 56.4%

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

   5. Simplified 56.4%

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

   if -4.20000000000000005e83 < k < -1.79999999999999988e29 or 1.6000000000000001e228 < k

   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 k around inf 71.4%

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

   3. Taylor expanded in z around inf 75.8%

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

      1. *-commutative 75.8%

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

      2. *-commutative 75.8%

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

   5. Simplified 75.8%

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

   if -1.79999999999999988e29 < k < -8100

   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 55.9%

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

   3. Taylor expanded in c around inf 56.0%

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

      1. +-commutative 56.0%

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

      2. mul-1-neg 56.0%

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

      3. unsub-neg 56.0%

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

      4. *-commutative 56.0%

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

      5. *-commutative 56.0%

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

   5. Applied egg-rr 56.0%

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

   if -8100 < k < -4.50000000000000013e-19

   1. Initial program 26.5%

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

   2. Taylor expanded in c around inf 25.4%

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

   3. Taylor expanded in y0 around inf 75.4%

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

   if -4.50000000000000013e-19 < k < -7.59999999999999995e-100 or -5.80000000000000005e-167 < k < -4.6e-284

   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 y4 around inf 56.8%

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

   if -7.59999999999999995e-100 < k < -5.80000000000000005e-167

   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 b around inf 27.8%

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

   3. Taylor expanded in y0 around inf 73.3%

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

      1. *-commutative 73.3%

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

      2. *-commutative 73.3%

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

   5. Simplified 73.3%

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

   if -4.6e-284 < k < 2.3999999999999999e-168

   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 j around inf 44.5%

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

   3. Taylor expanded in y3 around 0 57.6%

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

      1. cancel-sign-sub-inv 57.6%

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

      2. *-commutative 57.6%

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

      3. *-commutative 57.6%

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

      4. cancel-sign-sub-inv 57.6%

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

   5. Simplified 57.6%

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

   if 2.3999999999999999e-168 < k < 1.4000000000000001e-140

   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 37.5%

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

   3. Taylor expanded in y2 around inf 50.6%

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

   4. Taylor expanded in c around 0 63.2%

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

      1. mul-1-neg 63.2%

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

      2. *-commutative 63.2%

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

      3. distribute-rgt-neg-in 63.2%

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

      4. *-commutative 63.2%

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

   6. Simplified 63.2%

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

   if 1.4000000000000001e-140 < k < 8.50000000000000047e112

   1. Initial program 22.1%

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

   2. Taylor expanded in x around inf 58.3%

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

   if 8.50000000000000047e112 < k < 1.6000000000000001e228

   1. Initial program 17.2%

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

   2. Taylor expanded in b around inf 58.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 60.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.2 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.8 \cdot 10^{+29}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -8100:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -4.5 \cdot 10^{-19}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -7.6 \cdot 10^{-100}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{-167}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{-284}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-168}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{-140}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y1 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{+112}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 9: 34.9% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_2 := x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ t_3 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -4.6 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -1.22 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -1.5 \cdot 10^{-257}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -1.45 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-174}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{-100}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 6500000000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{+118}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+229}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* z (- (* b y0) (* i y1)))))
        (t_2 (* x (* a (- (* y b) (* y1 y2)))))
        (t_3
         (* j (+ (* t (- (* b y4) (* i y5))) (* x (- (* i y1) (* b y0)))))))
   (if (<= k -4.6e+83)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -2.2e+28)
       t_1
       (if (<= k -1.22e-60)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= k -1.5e-257)
           t_3
           (if (<= k -1.45e-282)
             t_2
             (if (<= k 2e-174)
               t_3
               (if (<= k 1.95e-100)
                 t_2
                 (if (<= k 6500000000000.0)
                   (* x (* y (- (* a b) (* c i))))
                   (if (<= k 2.4e+118)
                     (* c (* y4 (- (* y y3) (* t y2))))
                     (if (<= k 2e+229)
                       (*
                        b
                        (+
                         (+
                          (* a (- (* x y) (* z t)))
                          (* y4 (- (* t j) (* y k))))
                         (* y0 (- (* z k) (* x j)))))
                       t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = x * (a * ((y * b) - (y1 * y2)));
	double t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	double tmp;
	if (k <= -4.6e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -2.2e+28) {
		tmp = t_1;
	} else if (k <= -1.22e-60) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -1.5e-257) {
		tmp = t_3;
	} else if (k <= -1.45e-282) {
		tmp = t_2;
	} else if (k <= 2e-174) {
		tmp = t_3;
	} else if (k <= 1.95e-100) {
		tmp = t_2;
	} else if (k <= 6500000000000.0) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 2.4e+118) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (k <= 2e+229) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = k * (z * ((b * y0) - (i * y1)))
    t_2 = x * (a * ((y * b) - (y1 * y2)))
    t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))))
    if (k <= (-4.6d+83)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-2.2d+28)) then
        tmp = t_1
    else if (k <= (-1.22d-60)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (k <= (-1.5d-257)) then
        tmp = t_3
    else if (k <= (-1.45d-282)) then
        tmp = t_2
    else if (k <= 2d-174) then
        tmp = t_3
    else if (k <= 1.95d-100) then
        tmp = t_2
    else if (k <= 6500000000000.0d0) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 2.4d+118) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (k <= 2d+229) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = x * (a * ((y * b) - (y1 * y2)));
	double t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	double tmp;
	if (k <= -4.6e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -2.2e+28) {
		tmp = t_1;
	} else if (k <= -1.22e-60) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -1.5e-257) {
		tmp = t_3;
	} else if (k <= -1.45e-282) {
		tmp = t_2;
	} else if (k <= 2e-174) {
		tmp = t_3;
	} else if (k <= 1.95e-100) {
		tmp = t_2;
	} else if (k <= 6500000000000.0) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 2.4e+118) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (k <= 2e+229) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (z * ((b * y0) - (i * y1)))
	t_2 = x * (a * ((y * b) - (y1 * y2)))
	t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))))
	tmp = 0
	if k <= -4.6e+83:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -2.2e+28:
		tmp = t_1
	elif k <= -1.22e-60:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif k <= -1.5e-257:
		tmp = t_3
	elif k <= -1.45e-282:
		tmp = t_2
	elif k <= 2e-174:
		tmp = t_3
	elif k <= 1.95e-100:
		tmp = t_2
	elif k <= 6500000000000.0:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 2.4e+118:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif k <= 2e+229:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_2 = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))))
	t_3 = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	tmp = 0.0
	if (k <= -4.6e+83)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -2.2e+28)
		tmp = t_1;
	elseif (k <= -1.22e-60)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (k <= -1.5e-257)
		tmp = t_3;
	elseif (k <= -1.45e-282)
		tmp = t_2;
	elseif (k <= 2e-174)
		tmp = t_3;
	elseif (k <= 1.95e-100)
		tmp = t_2;
	elseif (k <= 6500000000000.0)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 2.4e+118)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (k <= 2e+229)
		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 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (z * ((b * y0) - (i * y1)));
	t_2 = x * (a * ((y * b) - (y1 * y2)));
	t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	tmp = 0.0;
	if (k <= -4.6e+83)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -2.2e+28)
		tmp = t_1;
	elseif (k <= -1.22e-60)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (k <= -1.5e-257)
		tmp = t_3;
	elseif (k <= -1.45e-282)
		tmp = t_2;
	elseif (k <= 2e-174)
		tmp = t_3;
	elseif (k <= 1.95e-100)
		tmp = t_2;
	elseif (k <= 6500000000000.0)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 2.4e+118)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (k <= 2e+229)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.6e+83], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.2e+28], t$95$1, If[LessEqual[k, -1.22e-60], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.5e-257], t$95$3, If[LessEqual[k, -1.45e-282], t$95$2, If[LessEqual[k, 2e-174], t$95$3, If[LessEqual[k, 1.95e-100], t$95$2, If[LessEqual[k, 6500000000000.0], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.4e+118], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2e+229], 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], t$95$1]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if k < -4.5999999999999999e83

   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 i around -inf 51.4%

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

   3. Taylor expanded in k around -inf 56.4%

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

      1. associate-*r* 56.4%

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

      2. neg-mul-1 56.4%

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

      3. *-commutative 56.4%

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

   5. Simplified 56.4%

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

   if -4.5999999999999999e83 < k < -2.19999999999999986e28 or 2e229 < k

   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 k around inf 71.4%

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

   3. Taylor expanded in z around inf 75.8%

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

      1. *-commutative 75.8%

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

      2. *-commutative 75.8%

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

   5. Simplified 75.8%

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

   if -2.19999999999999986e28 < k < -1.22e-60

   1. Initial program 50.5%

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

   2. Taylor expanded in x around inf 34.0%

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

   3. Taylor expanded in c around inf 43.0%

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

      1. +-commutative 43.0%

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

      2. mul-1-neg 43.0%

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

      3. unsub-neg 43.0%

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

      4. *-commutative 43.0%

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

      5. *-commutative 43.0%

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

   5. Applied egg-rr 43.0%

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

   if -1.22e-60 < k < -1.5e-257 or -1.44999999999999999e-282 < k < 2e-174

   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 j around inf 45.6%

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

   3. Taylor expanded in y3 around 0 55.9%

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

      1. cancel-sign-sub-inv 55.9%

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

      2. *-commutative 55.9%

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

      3. *-commutative 55.9%

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

      4. cancel-sign-sub-inv 55.9%

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

   5. Simplified 55.9%

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

   if -1.5e-257 < k < -1.44999999999999999e-282 or 2e-174 < k < 1.94999999999999989e-100

   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 x around inf 56.0%

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

   3. Taylor expanded in a around inf 64.8%

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

   if 1.94999999999999989e-100 < k < 6.5e12

   1. Initial program 19.1%

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

   2. Taylor expanded in y around inf 43.9%

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

   3. Taylor expanded in x around inf 54.0%

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

   if 6.5e12 < k < 2.4e118

   1. Initial program 20.3%

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

   2. Taylor expanded in c around inf 60.3%

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

   3. Taylor expanded in y4 around inf 55.7%

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

      1. *-commutative 55.7%

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

      2. *-commutative 55.7%

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

   5. Simplified 55.7%

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

   if 2.4e118 < k < 2e229

   1. Initial program 17.9%

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

   2. Taylor expanded in b around inf 60.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 58.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.6 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{+28}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.22 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -1.5 \cdot 10^{-257}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -1.45 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-174}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{-100}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 6500000000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{+118}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+229}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 10: 35.0% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(z \cdot k - x \cdot j\right)\\ t_2 := y \cdot y3 - t \cdot y2\\ t_3 := z \cdot t - x \cdot y\\ t_4 := c \cdot \left(\left(i \cdot t_3 + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot t_2\right)\\ t_5 := t \cdot j - y \cdot k\\ t_6 := i \cdot y1 - b \cdot y0\\ t_7 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;y3 \leq -2.8 \cdot 10^{+81}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot t_6\right)\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_5\right) + t_1\right)\\ \mathbf{elif}\;y3 \leq -8 \cdot 10^{-45}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_7\right) + j \cdot t_6\right)\\ \mathbf{elif}\;y3 \leq -8 \cdot 10^{-160}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot t_7\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_5 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t_2\right)\\ \mathbf{elif}\;y3 \leq -7 \cdot 10^{-233}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 4 \cdot 10^{-189}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y3 \leq 1.3 \cdot 10^{-108}:\\ \;\;\;\;b \cdot t_1\\ \mathbf{elif}\;y3 \leq 1.85 \cdot 10^{+120}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot t_3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (- (* z k) (* x j))))
        (t_2 (- (* y y3) (* t y2)))
        (t_3 (- (* z t) (* x y)))
        (t_4 (* c (+ (+ (* i t_3) (* y0 (- (* x y2) (* z y3)))) (* y4 t_2))))
        (t_5 (- (* t j) (* y k)))
        (t_6 (- (* i y1) (* b y0)))
        (t_7 (- (* c y0) (* a y1))))
   (if (<= y3 -2.8e+81)
     t_4
     (if (<= y3 -1.45e+36)
       (*
        j
        (+
         (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
         (* x t_6)))
       (if (<= y3 -1.45e+18)
         (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_5)) t_1))
         (if (<= y3 -8e-45)
           (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_7)) (* j t_6)))
           (if (<= y3 -8e-160)
             (*
              z
              (+
               (* k (- (* b y0) (* i y1)))
               (- (* t (- (* c i) (* a b))) (* y3 t_7))))
             (if (<= y3 -5.6e-199)
               (* y4 (+ (+ (* b t_5) (* y1 (- (* k y2) (* j y3)))) (* c t_2)))
               (if (<= y3 -7e-233)
                 (* x (* c (- (* y0 y2) (* y i))))
                 (if (<= y3 4e-189)
                   t_4
                   (if (<= y3 1.3e-108)
                     (* b t_1)
                     (if (<= y3 1.85e+120)
                       t_4
                       (*
                        i
                        (+
                         (* y1 (- (* x j) (* z k)))
                         (+ (* y5 (- (* y k) (* t j))) (* c 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 = y0 * ((z * k) - (x * j));
	double t_2 = (y * y3) - (t * y2);
	double t_3 = (z * t) - (x * y);
	double t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	double t_5 = (t * j) - (y * k);
	double t_6 = (i * y1) - (b * y0);
	double t_7 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -2.8e+81) {
		tmp = t_4;
	} else if (y3 <= -1.45e+36) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_6));
	} else if (y3 <= -1.45e+18) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + t_1);
	} else if (y3 <= -8e-45) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_7)) + (j * t_6));
	} else if (y3 <= -8e-160) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_7)));
	} else if (y3 <= -5.6e-199) {
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	} else if (y3 <= -7e-233) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y3 <= 4e-189) {
		tmp = t_4;
	} else if (y3 <= 1.3e-108) {
		tmp = b * t_1;
	} else if (y3 <= 1.85e+120) {
		tmp = t_4;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = y0 * ((z * k) - (x * j))
    t_2 = (y * y3) - (t * y2)
    t_3 = (z * t) - (x * y)
    t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2))
    t_5 = (t * j) - (y * k)
    t_6 = (i * y1) - (b * y0)
    t_7 = (c * y0) - (a * y1)
    if (y3 <= (-2.8d+81)) then
        tmp = t_4
    else if (y3 <= (-1.45d+36)) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_6))
    else if (y3 <= (-1.45d+18)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + t_1)
    else if (y3 <= (-8d-45)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_7)) + (j * t_6))
    else if (y3 <= (-8d-160)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_7)))
    else if (y3 <= (-5.6d-199)) then
        tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
    else if (y3 <= (-7d-233)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (y3 <= 4d-189) then
        tmp = t_4
    else if (y3 <= 1.3d-108) then
        tmp = b * t_1
    else if (y3 <= 1.85d+120) then
        tmp = t_4
    else
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 = y0 * ((z * k) - (x * j));
	double t_2 = (y * y3) - (t * y2);
	double t_3 = (z * t) - (x * y);
	double t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	double t_5 = (t * j) - (y * k);
	double t_6 = (i * y1) - (b * y0);
	double t_7 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -2.8e+81) {
		tmp = t_4;
	} else if (y3 <= -1.45e+36) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_6));
	} else if (y3 <= -1.45e+18) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + t_1);
	} else if (y3 <= -8e-45) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_7)) + (j * t_6));
	} else if (y3 <= -8e-160) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_7)));
	} else if (y3 <= -5.6e-199) {
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	} else if (y3 <= -7e-233) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y3 <= 4e-189) {
		tmp = t_4;
	} else if (y3 <= 1.3e-108) {
		tmp = b * t_1;
	} else if (y3 <= 1.85e+120) {
		tmp = t_4;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 = y0 * ((z * k) - (x * j))
	t_2 = (y * y3) - (t * y2)
	t_3 = (z * t) - (x * y)
	t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2))
	t_5 = (t * j) - (y * k)
	t_6 = (i * y1) - (b * y0)
	t_7 = (c * y0) - (a * y1)
	tmp = 0
	if y3 <= -2.8e+81:
		tmp = t_4
	elif y3 <= -1.45e+36:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_6))
	elif y3 <= -1.45e+18:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + t_1)
	elif y3 <= -8e-45:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_7)) + (j * t_6))
	elif y3 <= -8e-160:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_7)))
	elif y3 <= -5.6e-199:
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
	elif y3 <= -7e-233:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif y3 <= 4e-189:
		tmp = t_4
	elif y3 <= 1.3e-108:
		tmp = b * t_1
	elif y3 <= 1.85e+120:
		tmp = t_4
	else:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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(y0 * Float64(Float64(z * k) - Float64(x * j)))
	t_2 = Float64(Float64(y * y3) - Float64(t * y2))
	t_3 = Float64(Float64(z * t) - Float64(x * y))
	t_4 = Float64(c * Float64(Float64(Float64(i * t_3) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * t_2)))
	t_5 = Float64(Float64(t * j) - Float64(y * k))
	t_6 = Float64(Float64(i * y1) - Float64(b * y0))
	t_7 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (y3 <= -2.8e+81)
		tmp = t_4;
	elseif (y3 <= -1.45e+36)
		tmp = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * t_6)));
	elseif (y3 <= -1.45e+18)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_5)) + t_1));
	elseif (y3 <= -8e-45)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_7)) + Float64(j * t_6)));
	elseif (y3 <= -8e-160)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(t * Float64(Float64(c * i) - Float64(a * b))) - Float64(y3 * t_7))));
	elseif (y3 <= -5.6e-199)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_5) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_2)));
	elseif (y3 <= -7e-233)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y3 <= 4e-189)
		tmp = t_4;
	elseif (y3 <= 1.3e-108)
		tmp = Float64(b * t_1);
	elseif (y3 <= 1.85e+120)
		tmp = t_4;
	else
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * t_3))));
	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 * ((z * k) - (x * j));
	t_2 = (y * y3) - (t * y2);
	t_3 = (z * t) - (x * y);
	t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	t_5 = (t * j) - (y * k);
	t_6 = (i * y1) - (b * y0);
	t_7 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (y3 <= -2.8e+81)
		tmp = t_4;
	elseif (y3 <= -1.45e+36)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_6));
	elseif (y3 <= -1.45e+18)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + t_1);
	elseif (y3 <= -8e-45)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_7)) + (j * t_6));
	elseif (y3 <= -8e-160)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_7)));
	elseif (y3 <= -5.6e-199)
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	elseif (y3 <= -7e-233)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (y3 <= 4e-189)
		tmp = t_4;
	elseif (y3 <= 1.3e-108)
		tmp = b * t_1;
	elseif (y3 <= 1.85e+120)
		tmp = t_4;
	else
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(c * N[(N[(N[(i * t$95$3), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.8e+81], t$95$4, If[LessEqual[y3, -1.45e+36], N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.45e+18], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$5), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -8e-45], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -8e-160], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y3 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.6e-199], N[(y4 * N[(N[(N[(b * t$95$5), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7e-233], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4e-189], t$95$4, If[LessEqual[y3, 1.3e-108], N[(b * t$95$1), $MachinePrecision], If[LessEqual[y3, 1.85e+120], t$95$4, N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y3 < -2.79999999999999995e81 or -6.99999999999999982e-233 < y3 < 4.00000000000000027e-189 or 1.29999999999999992e-108 < y3 < 1.85000000000000012e120

   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 c around inf 58.2%

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

   if -2.79999999999999995e81 < y3 < -1.45e36

   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 j around inf 81.9%

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

   if -1.45e36 < y3 < -1.45e18

   1. Initial program 13.5%

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

   2. Taylor expanded in b around inf 74.2%

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

   if -1.45e18 < y3 < -7.99999999999999987e-45

   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 x around inf 75.0%

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

   if -7.99999999999999987e-45 < y3 < -7.9999999999999999e-160

   1. Initial program 35.3%

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

   2. Taylor expanded in z around -inf 60.5%

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

   if -7.9999999999999999e-160 < y3 < -5.60000000000000036e-199

   1. Initial program 61.3%

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

   2. Taylor expanded in y4 around inf 84.5%

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

   if -5.60000000000000036e-199 < y3 < -6.99999999999999982e-233

   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 x around inf 50.2%

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

   3. Taylor expanded in c around inf 75.3%

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

      1. +-commutative 75.3%

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

      2. mul-1-neg 75.3%

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

      3. unsub-neg 75.3%

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

      4. *-commutative 75.3%

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

      5. *-commutative 75.3%

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

   5. Applied egg-rr 75.3%

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

   if 4.00000000000000027e-189 < y3 < 1.29999999999999992e-108

   1. Initial program 40.2%

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

   2. Taylor expanded in b around inf 55.5%

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

   3. Taylor expanded in y0 around inf 55.9%

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

      1. *-commutative 55.9%

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

      2. *-commutative 55.9%

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

   5. Simplified 55.9%

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

   if 1.85000000000000012e120 < y3

   1. Initial program 25.2%

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

   2. Taylor expanded in i around -inf 56.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 62.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.8 \cdot 10^{+81}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -8 \cdot 10^{-45}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -8 \cdot 10^{-160}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -7 \cdot 10^{-233}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 4 \cdot 10^{-189}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.3 \cdot 10^{-108}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 1.85 \cdot 10^{+120}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \end{array} \]

Alternative 11: 35.3% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(z \cdot k - x \cdot j\right)\\ t_2 := y \cdot y3 - t \cdot y2\\ t_3 := z \cdot t - x \cdot y\\ t_4 := c \cdot \left(\left(i \cdot t_3 + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot t_2\right)\\ t_5 := b \cdot y4 - i \cdot y5\\ t_6 := t \cdot j - y \cdot k\\ t_7 := c \cdot i - a \cdot b\\ t_8 := i \cdot y1 - b \cdot y0\\ t_9 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;y3 \leq -1.9 \cdot 10^{+81}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y3 \leq -5.5 \cdot 10^{+37}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t_5 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot t_8\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_6\right) + t_1\right)\\ \mathbf{elif}\;y3 \leq -2.15 \cdot 10^{-44}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_9\right) + j \cdot t_8\right)\\ \mathbf{elif}\;y3 \leq -7 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot t_7 - y3 \cdot t_9\right)\right)\\ \mathbf{elif}\;y3 \leq -1.16 \cdot 10^{-198}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_6 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t_2\right)\\ \mathbf{elif}\;y3 \leq -4.1 \cdot 10^{-214}:\\ \;\;\;\;t \cdot \left(\left(z \cdot t_7 + j \cdot t_5\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 5 \cdot 10^{-189}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y3 \leq 6.5 \cdot 10^{-109}:\\ \;\;\;\;b \cdot t_1\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{+123}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot t_3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (- (* z k) (* x j))))
        (t_2 (- (* y y3) (* t y2)))
        (t_3 (- (* z t) (* x y)))
        (t_4 (* c (+ (+ (* i t_3) (* y0 (- (* x y2) (* z y3)))) (* y4 t_2))))
        (t_5 (- (* b y4) (* i y5)))
        (t_6 (- (* t j) (* y k)))
        (t_7 (- (* c i) (* a b)))
        (t_8 (- (* i y1) (* b y0)))
        (t_9 (- (* c y0) (* a y1))))
   (if (<= y3 -1.9e+81)
     t_4
     (if (<= y3 -5.5e+37)
       (* j (+ (+ (* t t_5) (* y3 (- (* y0 y5) (* y1 y4)))) (* x t_8)))
       (if (<= y3 -1.25e+18)
         (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_6)) t_1))
         (if (<= y3 -2.15e-44)
           (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_9)) (* j t_8)))
           (if (<= y3 -7e-161)
             (* z (+ (* k (- (* b y0) (* i y1))) (- (* t t_7) (* y3 t_9))))
             (if (<= y3 -1.16e-198)
               (* y4 (+ (+ (* b t_6) (* y1 (- (* k y2) (* j y3)))) (* c t_2)))
               (if (<= y3 -4.1e-214)
                 (* t (+ (+ (* z t_7) (* j t_5)) (* y2 (- (* a y5) (* c y4)))))
                 (if (<= y3 5e-189)
                   t_4
                   (if (<= y3 6.5e-109)
                     (* b t_1)
                     (if (<= y3 4.3e+123)
                       t_4
                       (*
                        i
                        (+
                         (* y1 (- (* x j) (* z k)))
                         (+ (* y5 (- (* y k) (* t j))) (* c 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 = y0 * ((z * k) - (x * j));
	double t_2 = (y * y3) - (t * y2);
	double t_3 = (z * t) - (x * y);
	double t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	double t_5 = (b * y4) - (i * y5);
	double t_6 = (t * j) - (y * k);
	double t_7 = (c * i) - (a * b);
	double t_8 = (i * y1) - (b * y0);
	double t_9 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -1.9e+81) {
		tmp = t_4;
	} else if (y3 <= -5.5e+37) {
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_8));
	} else if (y3 <= -1.25e+18) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + t_1);
	} else if (y3 <= -2.15e-44) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_9)) + (j * t_8));
	} else if (y3 <= -7e-161) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * t_7) - (y3 * t_9)));
	} else if (y3 <= -1.16e-198) {
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	} else if (y3 <= -4.1e-214) {
		tmp = t * (((z * t_7) + (j * t_5)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y3 <= 5e-189) {
		tmp = t_4;
	} else if (y3 <= 6.5e-109) {
		tmp = b * t_1;
	} else if (y3 <= 4.3e+123) {
		tmp = t_4;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = y0 * ((z * k) - (x * j))
    t_2 = (y * y3) - (t * y2)
    t_3 = (z * t) - (x * y)
    t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2))
    t_5 = (b * y4) - (i * y5)
    t_6 = (t * j) - (y * k)
    t_7 = (c * i) - (a * b)
    t_8 = (i * y1) - (b * y0)
    t_9 = (c * y0) - (a * y1)
    if (y3 <= (-1.9d+81)) then
        tmp = t_4
    else if (y3 <= (-5.5d+37)) then
        tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_8))
    else if (y3 <= (-1.25d+18)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + t_1)
    else if (y3 <= (-2.15d-44)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_9)) + (j * t_8))
    else if (y3 <= (-7d-161)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * t_7) - (y3 * t_9)))
    else if (y3 <= (-1.16d-198)) then
        tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
    else if (y3 <= (-4.1d-214)) then
        tmp = t * (((z * t_7) + (j * t_5)) + (y2 * ((a * y5) - (c * y4))))
    else if (y3 <= 5d-189) then
        tmp = t_4
    else if (y3 <= 6.5d-109) then
        tmp = b * t_1
    else if (y3 <= 4.3d+123) then
        tmp = t_4
    else
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 = y0 * ((z * k) - (x * j));
	double t_2 = (y * y3) - (t * y2);
	double t_3 = (z * t) - (x * y);
	double t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	double t_5 = (b * y4) - (i * y5);
	double t_6 = (t * j) - (y * k);
	double t_7 = (c * i) - (a * b);
	double t_8 = (i * y1) - (b * y0);
	double t_9 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -1.9e+81) {
		tmp = t_4;
	} else if (y3 <= -5.5e+37) {
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_8));
	} else if (y3 <= -1.25e+18) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + t_1);
	} else if (y3 <= -2.15e-44) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_9)) + (j * t_8));
	} else if (y3 <= -7e-161) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * t_7) - (y3 * t_9)));
	} else if (y3 <= -1.16e-198) {
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	} else if (y3 <= -4.1e-214) {
		tmp = t * (((z * t_7) + (j * t_5)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y3 <= 5e-189) {
		tmp = t_4;
	} else if (y3 <= 6.5e-109) {
		tmp = b * t_1;
	} else if (y3 <= 4.3e+123) {
		tmp = t_4;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 = y0 * ((z * k) - (x * j))
	t_2 = (y * y3) - (t * y2)
	t_3 = (z * t) - (x * y)
	t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2))
	t_5 = (b * y4) - (i * y5)
	t_6 = (t * j) - (y * k)
	t_7 = (c * i) - (a * b)
	t_8 = (i * y1) - (b * y0)
	t_9 = (c * y0) - (a * y1)
	tmp = 0
	if y3 <= -1.9e+81:
		tmp = t_4
	elif y3 <= -5.5e+37:
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_8))
	elif y3 <= -1.25e+18:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + t_1)
	elif y3 <= -2.15e-44:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_9)) + (j * t_8))
	elif y3 <= -7e-161:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * t_7) - (y3 * t_9)))
	elif y3 <= -1.16e-198:
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
	elif y3 <= -4.1e-214:
		tmp = t * (((z * t_7) + (j * t_5)) + (y2 * ((a * y5) - (c * y4))))
	elif y3 <= 5e-189:
		tmp = t_4
	elif y3 <= 6.5e-109:
		tmp = b * t_1
	elif y3 <= 4.3e+123:
		tmp = t_4
	else:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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(y0 * Float64(Float64(z * k) - Float64(x * j)))
	t_2 = Float64(Float64(y * y3) - Float64(t * y2))
	t_3 = Float64(Float64(z * t) - Float64(x * y))
	t_4 = Float64(c * Float64(Float64(Float64(i * t_3) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * t_2)))
	t_5 = Float64(Float64(b * y4) - Float64(i * y5))
	t_6 = Float64(Float64(t * j) - Float64(y * k))
	t_7 = Float64(Float64(c * i) - Float64(a * b))
	t_8 = Float64(Float64(i * y1) - Float64(b * y0))
	t_9 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (y3 <= -1.9e+81)
		tmp = t_4;
	elseif (y3 <= -5.5e+37)
		tmp = Float64(j * Float64(Float64(Float64(t * t_5) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * t_8)));
	elseif (y3 <= -1.25e+18)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_6)) + t_1));
	elseif (y3 <= -2.15e-44)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_9)) + Float64(j * t_8)));
	elseif (y3 <= -7e-161)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(t * t_7) - Float64(y3 * t_9))));
	elseif (y3 <= -1.16e-198)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_6) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_2)));
	elseif (y3 <= -4.1e-214)
		tmp = Float64(t * Float64(Float64(Float64(z * t_7) + Float64(j * t_5)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y3 <= 5e-189)
		tmp = t_4;
	elseif (y3 <= 6.5e-109)
		tmp = Float64(b * t_1);
	elseif (y3 <= 4.3e+123)
		tmp = t_4;
	else
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * t_3))));
	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 * ((z * k) - (x * j));
	t_2 = (y * y3) - (t * y2);
	t_3 = (z * t) - (x * y);
	t_4 = c * (((i * t_3) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	t_5 = (b * y4) - (i * y5);
	t_6 = (t * j) - (y * k);
	t_7 = (c * i) - (a * b);
	t_8 = (i * y1) - (b * y0);
	t_9 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (y3 <= -1.9e+81)
		tmp = t_4;
	elseif (y3 <= -5.5e+37)
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_8));
	elseif (y3 <= -1.25e+18)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + t_1);
	elseif (y3 <= -2.15e-44)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_9)) + (j * t_8));
	elseif (y3 <= -7e-161)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * t_7) - (y3 * t_9)));
	elseif (y3 <= -1.16e-198)
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	elseif (y3 <= -4.1e-214)
		tmp = t * (((z * t_7) + (j * t_5)) + (y2 * ((a * y5) - (c * y4))));
	elseif (y3 <= 5e-189)
		tmp = t_4;
	elseif (y3 <= 6.5e-109)
		tmp = b * t_1;
	elseif (y3 <= 4.3e+123)
		tmp = t_4;
	else
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(c * N[(N[(N[(i * t$95$3), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.9e+81], t$95$4, If[LessEqual[y3, -5.5e+37], N[(j * N[(N[(N[(t * t$95$5), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.25e+18], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$6), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.15e-44], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$9), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7e-161], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * t$95$7), $MachinePrecision] - N[(y3 * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.16e-198], 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 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4.1e-214], N[(t * N[(N[(N[(z * t$95$7), $MachinePrecision] + N[(j * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5e-189], t$95$4, If[LessEqual[y3, 6.5e-109], N[(b * t$95$1), $MachinePrecision], If[LessEqual[y3, 4.3e+123], t$95$4, N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y3 < -1.9e81 or -4.0999999999999997e-214 < y3 < 4.9999999999999997e-189 or 6.49999999999999959e-109 < y3 < 4.29999999999999986e123

   1. Initial program 32.4%

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

   2. Taylor expanded in c around inf 59.0%

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

   if -1.9e81 < y3 < -5.50000000000000016e37

   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 j around inf 81.9%

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

   if -5.50000000000000016e37 < y3 < -1.25e18

   1. Initial program 13.5%

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

   2. Taylor expanded in b around inf 74.2%

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

   if -1.25e18 < y3 < -2.15000000000000007e-44

   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 x around inf 75.0%

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

   if -2.15000000000000007e-44 < y3 < -7.00000000000000039e-161

   1. Initial program 35.3%

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

   2. Taylor expanded in z around -inf 60.5%

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

   if -7.00000000000000039e-161 < y3 < -1.16e-198

   1. Initial program 61.3%

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

   2. Taylor expanded in y4 around inf 84.5%

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

   if -1.16e-198 < y3 < -4.0999999999999997e-214

   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 t around inf 72.2%

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

   if 4.9999999999999997e-189 < y3 < 6.49999999999999959e-109

   1. Initial program 40.2%

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

   2. Taylor expanded in b around inf 55.5%

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

   3. Taylor expanded in y0 around inf 55.9%

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

      1. *-commutative 55.9%

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

      2. *-commutative 55.9%

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

   5. Simplified 55.9%

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

   if 4.29999999999999986e123 < y3

   1. Initial program 25.2%

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

   2. Taylor expanded in i around -inf 56.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 62.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.9 \cdot 10^{+81}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -5.5 \cdot 10^{+37}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -2.15 \cdot 10^{-44}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -7 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -1.16 \cdot 10^{-198}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -4.1 \cdot 10^{-214}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 5 \cdot 10^{-189}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 6.5 \cdot 10^{-109}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{+123}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \end{array} \]

Alternative 12: 37.8% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ t_2 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_3 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot t_1\right)\\ \mathbf{if}\;k \leq -4 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.65 \cdot 10^{+31}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -1.2 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -7 \cdot 10^{-259}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-283}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 9.2 \cdot 10^{-166}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.2 \cdot 10^{+113}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_1\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0)))
        (t_2 (* k (* z (- (* b y0) (* i y1)))))
        (t_3 (* j (+ (* t (- (* b y4) (* i y5))) (* x t_1)))))
   (if (<= k -4e+83)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -1.65e+31)
       t_2
       (if (<= k -1.2e-60)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= k -7e-259)
           t_3
           (if (<= k -6e-283)
             (* x (* a (- (* y b) (* y1 y2))))
             (if (<= k 9.2e-166)
               t_3
               (if (<= k 1.2e+113)
                 (*
                  x
                  (+
                   (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
                   (* j t_1)))
                 (if (<= k 8.5e+228)
                   (*
                    b
                    (+
                     (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
                     (* y0 (- (* z k) (* x j)))))
                   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 = (i * y1) - (b * y0);
	double t_2 = k * (z * ((b * y0) - (i * y1)));
	double t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * t_1));
	double tmp;
	if (k <= -4e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.65e+31) {
		tmp = t_2;
	} else if (k <= -1.2e-60) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -7e-259) {
		tmp = t_3;
	} else if (k <= -6e-283) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 9.2e-166) {
		tmp = t_3;
	} else if (k <= 1.2e+113) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	} else if (k <= 8.5e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    t_2 = k * (z * ((b * y0) - (i * y1)))
    t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * t_1))
    if (k <= (-4d+83)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-1.65d+31)) then
        tmp = t_2
    else if (k <= (-1.2d-60)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (k <= (-7d-259)) then
        tmp = t_3
    else if (k <= (-6d-283)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (k <= 9.2d-166) then
        tmp = t_3
    else if (k <= 1.2d+113) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
    else if (k <= 8.5d+228) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    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 = (i * y1) - (b * y0);
	double t_2 = k * (z * ((b * y0) - (i * y1)));
	double t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * t_1));
	double tmp;
	if (k <= -4e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.65e+31) {
		tmp = t_2;
	} else if (k <= -1.2e-60) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -7e-259) {
		tmp = t_3;
	} else if (k <= -6e-283) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 9.2e-166) {
		tmp = t_3;
	} else if (k <= 1.2e+113) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	} else if (k <= 8.5e+228) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} 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 = (i * y1) - (b * y0)
	t_2 = k * (z * ((b * y0) - (i * y1)))
	t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * t_1))
	tmp = 0
	if k <= -4e+83:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -1.65e+31:
		tmp = t_2
	elif k <= -1.2e-60:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif k <= -7e-259:
		tmp = t_3
	elif k <= -6e-283:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif k <= 9.2e-166:
		tmp = t_3
	elif k <= 1.2e+113:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
	elif k <= 8.5e+228:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	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(i * y1) - Float64(b * y0))
	t_2 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_3 = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * t_1)))
	tmp = 0.0
	if (k <= -4e+83)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -1.65e+31)
		tmp = t_2;
	elseif (k <= -1.2e-60)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (k <= -7e-259)
		tmp = t_3;
	elseif (k <= -6e-283)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= 9.2e-166)
		tmp = t_3;
	elseif (k <= 1.2e+113)
		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 * t_1)));
	elseif (k <= 8.5e+228)
		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 * Float64(Float64(z * k) - Float64(x * j)))));
	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 = (i * y1) - (b * y0);
	t_2 = k * (z * ((b * y0) - (i * y1)));
	t_3 = j * ((t * ((b * y4) - (i * y5))) + (x * t_1));
	tmp = 0.0;
	if (k <= -4e+83)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -1.65e+31)
		tmp = t_2;
	elseif (k <= -1.2e-60)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (k <= -7e-259)
		tmp = t_3;
	elseif (k <= -6e-283)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (k <= 9.2e-166)
		tmp = t_3;
	elseif (k <= 1.2e+113)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	elseif (k <= 8.5e+228)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	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[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4e+83], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.65e+31], t$95$2, If[LessEqual[k, -1.2e-60], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7e-259], t$95$3, If[LessEqual[k, -6e-283], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 9.2e-166], t$95$3, If[LessEqual[k, 1.2e+113], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.5e+228], 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], t$95$2]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if k < -4.00000000000000012e83

   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 i around -inf 51.4%

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

   3. Taylor expanded in k around -inf 56.4%

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

      1. associate-*r* 56.4%

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

      2. neg-mul-1 56.4%

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

      3. *-commutative 56.4%

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

   5. Simplified 56.4%

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

   if -4.00000000000000012e83 < k < -1.64999999999999996e31 or 8.5000000000000002e228 < k

   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 k around inf 71.4%

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

   3. Taylor expanded in z around inf 75.8%

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

      1. *-commutative 75.8%

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

      2. *-commutative 75.8%

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

   5. Simplified 75.8%

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

   if -1.64999999999999996e31 < k < -1.20000000000000005e-60

   1. Initial program 50.5%

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

   2. Taylor expanded in x around inf 34.0%

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

   3. Taylor expanded in c around inf 43.0%

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

      1. +-commutative 43.0%

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

      2. mul-1-neg 43.0%

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

      3. unsub-neg 43.0%

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

      4. *-commutative 43.0%

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

      5. *-commutative 43.0%

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

   5. Applied egg-rr 43.0%

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

   if -1.20000000000000005e-60 < k < -7.0000000000000005e-259 or -5.99999999999999992e-283 < k < 9.19999999999999995e-166

   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 j around inf 45.1%

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

   3. Taylor expanded in y3 around 0 54.9%

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

      1. cancel-sign-sub-inv 54.9%

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

      2. *-commutative 54.9%

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

      3. *-commutative 54.9%

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

      4. cancel-sign-sub-inv 54.9%

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

   5. Simplified 54.9%

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

   if -7.0000000000000005e-259 < k < -5.99999999999999992e-283

   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 x around inf 57.1%

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

   3. Taylor expanded in a around inf 85.9%

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

   if 9.19999999999999995e-166 < k < 1.19999999999999992e113

   1. Initial program 23.7%

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

   2. Taylor expanded in x around inf 58.4%

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

   if 1.19999999999999992e113 < k < 8.5000000000000002e228

   1. Initial program 17.2%

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

   2. Taylor expanded in b around inf 58.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 58.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.65 \cdot 10^{+31}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.2 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -7 \cdot 10^{-259}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-283}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 9.2 \cdot 10^{-166}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.2 \cdot 10^{+113}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{+228}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 13: 35.1% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot t - x \cdot y\\ t_2 := y \cdot y3 - t \cdot y2\\ t_3 := c \cdot \left(\left(i \cdot t_1 + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot t_2\right)\\ t_4 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;y3 \leq -1.42 \cdot 10^{+109}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y3 \leq -1.2 \cdot 10^{-45}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_4\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -2.25 \cdot 10^{-159}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot t_4\right)\right)\\ \mathbf{elif}\;y3 \leq -3.6 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t_2\right)\\ \mathbf{elif}\;y3 \leq -2.2 \cdot 10^{-230}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{-191}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{-108}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+122}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot t_1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z t) (* x y)))
        (t_2 (- (* y y3) (* t y2)))
        (t_3 (* c (+ (+ (* i t_1) (* y0 (- (* x y2) (* z y3)))) (* y4 t_2))))
        (t_4 (- (* c y0) (* a y1))))
   (if (<= y3 -1.42e+109)
     t_3
     (if (<= y3 -1.2e-45)
       (*
        x
        (+
         (+ (* y (- (* a b) (* c i))) (* y2 t_4))
         (* j (- (* i y1) (* b y0)))))
       (if (<= y3 -2.25e-159)
         (*
          z
          (+
           (* k (- (* b y0) (* i y1)))
           (- (* t (- (* c i) (* a b))) (* y3 t_4))))
         (if (<= y3 -3.6e-199)
           (*
            y4
            (+
             (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
             (* c t_2)))
           (if (<= y3 -2.2e-230)
             (* x (* c (- (* y0 y2) (* y i))))
             (if (<= y3 2.1e-191)
               t_3
               (if (<= y3 4.3e-108)
                 (* b (* y0 (- (* z k) (* x j))))
                 (if (<= y3 2.3e+122)
                   t_3
                   (*
                    i
                    (+
                     (* y1 (- (* x j) (* z k)))
                     (+ (* y5 (- (* y k) (* t j))) (* c 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 * t) - (x * y);
	double t_2 = (y * y3) - (t * y2);
	double t_3 = c * (((i * t_1) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	double t_4 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -1.42e+109) {
		tmp = t_3;
	} else if (y3 <= -1.2e-45) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (y3 <= -2.25e-159) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	} else if (y3 <= -3.6e-199) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	} else if (y3 <= -2.2e-230) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y3 <= 2.1e-191) {
		tmp = t_3;
	} else if (y3 <= 4.3e-108) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 2.3e+122) {
		tmp = t_3;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (z * t) - (x * y)
    t_2 = (y * y3) - (t * y2)
    t_3 = c * (((i * t_1) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2))
    t_4 = (c * y0) - (a * y1)
    if (y3 <= (-1.42d+109)) then
        tmp = t_3
    else if (y3 <= (-1.2d-45)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
    else if (y3 <= (-2.25d-159)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)))
    else if (y3 <= (-3.6d-199)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
    else if (y3 <= (-2.2d-230)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (y3 <= 2.1d-191) then
        tmp = t_3
    else if (y3 <= 4.3d-108) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= 2.3d+122) then
        tmp = t_3
    else
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 = (z * t) - (x * y);
	double t_2 = (y * y3) - (t * y2);
	double t_3 = c * (((i * t_1) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	double t_4 = (c * y0) - (a * y1);
	double tmp;
	if (y3 <= -1.42e+109) {
		tmp = t_3;
	} else if (y3 <= -1.2e-45) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (y3 <= -2.25e-159) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	} else if (y3 <= -3.6e-199) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	} else if (y3 <= -2.2e-230) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y3 <= 2.1e-191) {
		tmp = t_3;
	} else if (y3 <= 4.3e-108) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 2.3e+122) {
		tmp = t_3;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 * t) - (x * y)
	t_2 = (y * y3) - (t * y2)
	t_3 = c * (((i * t_1) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2))
	t_4 = (c * y0) - (a * y1)
	tmp = 0
	if y3 <= -1.42e+109:
		tmp = t_3
	elif y3 <= -1.2e-45:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
	elif y3 <= -2.25e-159:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)))
	elif y3 <= -3.6e-199:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
	elif y3 <= -2.2e-230:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif y3 <= 2.1e-191:
		tmp = t_3
	elif y3 <= 4.3e-108:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= 2.3e+122:
		tmp = t_3
	else:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 * t) - Float64(x * y))
	t_2 = Float64(Float64(y * y3) - Float64(t * y2))
	t_3 = Float64(c * Float64(Float64(Float64(i * t_1) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * t_2)))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (y3 <= -1.42e+109)
		tmp = t_3;
	elseif (y3 <= -1.2e-45)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_4)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y3 <= -2.25e-159)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(t * Float64(Float64(c * i) - Float64(a * b))) - Float64(y3 * t_4))));
	elseif (y3 <= -3.6e-199)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_2)));
	elseif (y3 <= -2.2e-230)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y3 <= 2.1e-191)
		tmp = t_3;
	elseif (y3 <= 4.3e-108)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= 2.3e+122)
		tmp = t_3;
	else
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * t_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 * t) - (x * y);
	t_2 = (y * y3) - (t * y2);
	t_3 = c * (((i * t_1) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_2));
	t_4 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (y3 <= -1.42e+109)
		tmp = t_3;
	elseif (y3 <= -1.2e-45)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	elseif (y3 <= -2.25e-159)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	elseif (y3 <= -3.6e-199)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	elseif (y3 <= -2.2e-230)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (y3 <= 2.1e-191)
		tmp = t_3;
	elseif (y3 <= 4.3e-108)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= 2.3e+122)
		tmp = t_3;
	else
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * 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 * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(N[(N[(i * t$95$1), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.42e+109], t$95$3, If[LessEqual[y3, -1.2e-45], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $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[y3, -2.25e-159], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y3 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.6e-199], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.2e-230], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.1e-191], t$95$3, If[LessEqual[y3, 4.3e-108], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.3e+122], t$95$3, N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.4200000000000001e109 or -2.1999999999999998e-230 < y3 < 2.09999999999999985e-191 or 4.3e-108 < y3 < 2.3000000000000001e122

   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 c around inf 58.0%

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

   if -1.4200000000000001e109 < y3 < -1.19999999999999995e-45

   1. Initial program 17.3%

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

   2. Taylor expanded in x around inf 60.7%

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

   if -1.19999999999999995e-45 < y3 < -2.24999999999999994e-159

   1. Initial program 35.3%

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

   2. Taylor expanded in z around -inf 60.5%

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

   if -2.24999999999999994e-159 < y3 < -3.6000000000000002e-199

   1. Initial program 61.3%

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

   2. Taylor expanded in y4 around inf 84.5%

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

   if -3.6000000000000002e-199 < y3 < -2.1999999999999998e-230

   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 x around inf 50.2%

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

   3. Taylor expanded in c around inf 75.3%

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

      1. +-commutative 75.3%

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

      2. mul-1-neg 75.3%

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

      3. unsub-neg 75.3%

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

      4. *-commutative 75.3%

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

      5. *-commutative 75.3%

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

   5. Applied egg-rr 75.3%

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

   if 2.09999999999999985e-191 < y3 < 4.3e-108

   1. Initial program 40.2%

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

   2. Taylor expanded in b around inf 55.5%

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

   3. Taylor expanded in y0 around inf 55.9%

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

      1. *-commutative 55.9%

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

      2. *-commutative 55.9%

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

   5. Simplified 55.9%

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

   if 2.3000000000000001e122 < y3

   1. Initial program 25.2%

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

   2. Taylor expanded in i around -inf 56.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 60.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.42 \cdot 10^{+109}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -1.2 \cdot 10^{-45}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -2.25 \cdot 10^{-159}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.6 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -2.2 \cdot 10^{-230}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{-191}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{-108}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+122}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \end{array} \]

Alternative 14: 34.7% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ t_2 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -4.4 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{+28}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.22 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -1.96 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -2.3 \cdot 10^{-282}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{-174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 5200000000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 10^{+213}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+236}:\\ \;\;\;\;i \cdot \left(\left(k \cdot y1\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{+294}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* a (- (* y b) (* y1 y2)))))
        (t_2
         (* j (+ (* t (- (* b y4) (* i y5))) (* x (- (* i y1) (* b y0)))))))
   (if (<= k -4.4e+83)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -7.5e+28)
       (* k (* z (- (* b y0) (* i y1))))
       (if (<= k -1.22e-60)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= k -1.96e-258)
           t_2
           (if (<= k -2.3e-282)
             t_1
             (if (<= k 3.2e-174)
               t_2
               (if (<= k 1.9e-100)
                 t_1
                 (if (<= k 5200000000000.0)
                   (* x (* y (- (* a b) (* c i))))
                   (if (<= k 1e+213)
                     (* y (* y4 (- (* c y3) (* b k))))
                     (if (<= k 1.95e+236)
                       (* i (* (* k y1) (- z)))
                       (if (<= k 1.55e+294)
                         (* k (* y (- (* i y5) (* b y4))))
                         (* k (* y2 (- (* y1 y4) (* y0 y5)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (a * ((y * b) - (y1 * y2)));
	double t_2 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	double tmp;
	if (k <= -4.4e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -7.5e+28) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (k <= -1.22e-60) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -1.96e-258) {
		tmp = t_2;
	} else if (k <= -2.3e-282) {
		tmp = t_1;
	} else if (k <= 3.2e-174) {
		tmp = t_2;
	} else if (k <= 1.9e-100) {
		tmp = t_1;
	} else if (k <= 5200000000000.0) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1e+213) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else if (k <= 1.95e+236) {
		tmp = i * ((k * y1) * -z);
	} else if (k <= 1.55e+294) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (a * ((y * b) - (y1 * y2)))
    t_2 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))))
    if (k <= (-4.4d+83)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-7.5d+28)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (k <= (-1.22d-60)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (k <= (-1.96d-258)) then
        tmp = t_2
    else if (k <= (-2.3d-282)) then
        tmp = t_1
    else if (k <= 3.2d-174) then
        tmp = t_2
    else if (k <= 1.9d-100) then
        tmp = t_1
    else if (k <= 5200000000000.0d0) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 1d+213) then
        tmp = y * (y4 * ((c * y3) - (b * k)))
    else if (k <= 1.95d+236) then
        tmp = i * ((k * y1) * -z)
    else if (k <= 1.55d+294) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (a * ((y * b) - (y1 * y2)));
	double t_2 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	double tmp;
	if (k <= -4.4e+83) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -7.5e+28) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (k <= -1.22e-60) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (k <= -1.96e-258) {
		tmp = t_2;
	} else if (k <= -2.3e-282) {
		tmp = t_1;
	} else if (k <= 3.2e-174) {
		tmp = t_2;
	} else if (k <= 1.9e-100) {
		tmp = t_1;
	} else if (k <= 5200000000000.0) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1e+213) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else if (k <= 1.95e+236) {
		tmp = i * ((k * y1) * -z);
	} else if (k <= 1.55e+294) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (a * ((y * b) - (y1 * y2)))
	t_2 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))))
	tmp = 0
	if k <= -4.4e+83:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -7.5e+28:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif k <= -1.22e-60:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif k <= -1.96e-258:
		tmp = t_2
	elif k <= -2.3e-282:
		tmp = t_1
	elif k <= 3.2e-174:
		tmp = t_2
	elif k <= 1.9e-100:
		tmp = t_1
	elif k <= 5200000000000.0:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 1e+213:
		tmp = y * (y4 * ((c * y3) - (b * k)))
	elif k <= 1.95e+236:
		tmp = i * ((k * y1) * -z)
	elif k <= 1.55e+294:
		tmp = k * (y * ((i * y5) - (b * y4)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))))
	t_2 = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	tmp = 0.0
	if (k <= -4.4e+83)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -7.5e+28)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (k <= -1.22e-60)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (k <= -1.96e-258)
		tmp = t_2;
	elseif (k <= -2.3e-282)
		tmp = t_1;
	elseif (k <= 3.2e-174)
		tmp = t_2;
	elseif (k <= 1.9e-100)
		tmp = t_1;
	elseif (k <= 5200000000000.0)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 1e+213)
		tmp = Float64(y * Float64(y4 * Float64(Float64(c * y3) - Float64(b * k))));
	elseif (k <= 1.95e+236)
		tmp = Float64(i * Float64(Float64(k * y1) * Float64(-z)));
	elseif (k <= 1.55e+294)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (a * ((y * b) - (y1 * y2)));
	t_2 = j * ((t * ((b * y4) - (i * y5))) + (x * ((i * y1) - (b * y0))));
	tmp = 0.0;
	if (k <= -4.4e+83)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -7.5e+28)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (k <= -1.22e-60)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (k <= -1.96e-258)
		tmp = t_2;
	elseif (k <= -2.3e-282)
		tmp = t_1;
	elseif (k <= 3.2e-174)
		tmp = t_2;
	elseif (k <= 1.9e-100)
		tmp = t_1;
	elseif (k <= 5200000000000.0)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 1e+213)
		tmp = y * (y4 * ((c * y3) - (b * k)));
	elseif (k <= 1.95e+236)
		tmp = i * ((k * y1) * -z);
	elseif (k <= 1.55e+294)
		tmp = k * (y * ((i * y5) - (b * y4)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.4e+83], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.5e+28], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.22e-60], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.96e-258], t$95$2, If[LessEqual[k, -2.3e-282], t$95$1, If[LessEqual[k, 3.2e-174], t$95$2, If[LessEqual[k, 1.9e-100], t$95$1, If[LessEqual[k, 5200000000000.0], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1e+213], N[(y * N[(y4 * N[(N[(c * y3), $MachinePrecision] - N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.95e+236], N[(i * N[(N[(k * y1), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.55e+294], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -4.39999999999999997e83

   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 i around -inf 51.4%

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

   3. Taylor expanded in k around -inf 56.4%

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

      1. associate-*r* 56.4%

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

      2. neg-mul-1 56.4%

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

      3. *-commutative 56.4%

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

   5. Simplified 56.4%

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

   if -4.39999999999999997e83 < k < -7.4999999999999998e28

   1. Initial program 24.9%

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

   2. Taylor expanded in k around inf 66.7%

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

   3. Taylor expanded in z around inf 91.9%

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

      1. *-commutative 91.9%

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

      2. *-commutative 91.9%

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

   5. Simplified 91.9%

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

   if -7.4999999999999998e28 < k < -1.22e-60

   1. Initial program 50.5%

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

   2. Taylor expanded in x around inf 34.0%

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

   3. Taylor expanded in c around inf 43.0%

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

      1. +-commutative 43.0%

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

      2. mul-1-neg 43.0%

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

      3. unsub-neg 43.0%

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

      4. *-commutative 43.0%

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

      5. *-commutative 43.0%

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

   5. Applied egg-rr 43.0%

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

   if -1.22e-60 < k < -1.96000000000000009e-258 or -2.2999999999999999e-282 < k < 3.2e-174

   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 j around inf 45.6%

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

   3. Taylor expanded in y3 around 0 55.9%

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

      1. cancel-sign-sub-inv 55.9%

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

      2. *-commutative 55.9%

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

      3. *-commutative 55.9%

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

      4. cancel-sign-sub-inv 55.9%

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

   5. Simplified 55.9%

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

   if -1.96000000000000009e-258 < k < -2.2999999999999999e-282 or 3.2e-174 < k < 1.89999999999999999e-100

   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 x around inf 56.0%

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

   3. Taylor expanded in a around inf 64.8%

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

   if 1.89999999999999999e-100 < k < 5.2e12

   1. Initial program 19.1%

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

   2. Taylor expanded in y around inf 43.9%

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

   3. Taylor expanded in x around inf 54.0%

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

   if 5.2e12 < k < 9.99999999999999984e212

   1. Initial program 19.2%

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

   2. Taylor expanded in y around inf 50.3%

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

   3. Taylor expanded in y4 around -inf 48.0%

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

      1. associate-*r* 48.0%

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

      2. neg-mul-1 48.0%

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

   5. Simplified 48.0%

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

   if 9.99999999999999984e212 < k < 1.95e236

   1. Initial program 18.2%

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

   2. Taylor expanded in i around -inf 45.7%

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

   3. Taylor expanded in k around -inf 54.9%

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

      1. associate-*r* 54.9%

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

      2. neg-mul-1 54.9%

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

      3. *-commutative 54.9%

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

   5. Simplified 54.9%

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

   6. Taylor expanded in y around 0 55.4%

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

      1. associate-*r* 72.9%

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

   8. Simplified 72.9%

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

   if 1.95e236 < k < 1.5500000000000001e294

   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 y around inf 50.0%

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

   3. Taylor expanded in k around inf 75.0%

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

      1. associate-*r* 75.0%

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

      2. neg-mul-1 75.0%

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

      3. *-commutative 75.0%

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

   5. Simplified 75.0%

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

   if 1.5500000000000001e294 < k

   1. Initial program 66.7%

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

   2. Taylor expanded in k around inf 100.0%

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

   3. Taylor expanded in y2 around inf 100.0%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 57.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.4 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{+28}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.22 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -1.96 \cdot 10^{-258}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -2.3 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{-174}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-100}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 5200000000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 10^{+213}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+236}:\\ \;\;\;\;i \cdot \left(\left(k \cdot y1\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{+294}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]

Alternative 15: 33.6% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_2 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_3 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;z \leq -5 \cdot 10^{+173}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{+52}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{+39}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-278}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-226}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 5.8 \cdot 10^{-192}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-163}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 0.58:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* z (- (* b y0) (* i y1)))))
        (t_2 (* c (* y4 (- (* y y3) (* t y2)))))
        (t_3 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= z -5e+173)
     t_1
     (if (<= z -9.5e+52)
       (* b (* y0 (- (* z k) (* x j))))
       (if (<= z -1.35e+39)
         t_1
         (if (<= z -2.6e-69)
           t_3
           (if (<= z 4.9e-278)
             t_2
             (if (<= z 2e-226)
               (* j (* x (- (* i y1) (* b y0))))
               (if (<= z 5.8e-192)
                 t_2
                 (if (<= z 1.8e-163)
                   (* j (* y0 (- (* y3 y5) (* x b))))
                   (if (<= z 0.58) t_3 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 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (z <= -5e+173) {
		tmp = t_1;
	} else if (z <= -9.5e+52) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (z <= -1.35e+39) {
		tmp = t_1;
	} else if (z <= -2.6e-69) {
		tmp = t_3;
	} else if (z <= 4.9e-278) {
		tmp = t_2;
	} else if (z <= 2e-226) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (z <= 5.8e-192) {
		tmp = t_2;
	} else if (z <= 1.8e-163) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 0.58) {
		tmp = t_3;
	} 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 = k * (z * ((b * y0) - (i * y1)))
    t_2 = c * (y4 * ((y * y3) - (t * y2)))
    t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (z <= (-5d+173)) then
        tmp = t_1
    else if (z <= (-9.5d+52)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (z <= (-1.35d+39)) then
        tmp = t_1
    else if (z <= (-2.6d-69)) then
        tmp = t_3
    else if (z <= 4.9d-278) then
        tmp = t_2
    else if (z <= 2d-226) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (z <= 5.8d-192) then
        tmp = t_2
    else if (z <= 1.8d-163) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 0.58d0) then
        tmp = t_3
    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 = k * (z * ((b * y0) - (i * y1)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (z <= -5e+173) {
		tmp = t_1;
	} else if (z <= -9.5e+52) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (z <= -1.35e+39) {
		tmp = t_1;
	} else if (z <= -2.6e-69) {
		tmp = t_3;
	} else if (z <= 4.9e-278) {
		tmp = t_2;
	} else if (z <= 2e-226) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (z <= 5.8e-192) {
		tmp = t_2;
	} else if (z <= 1.8e-163) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 0.58) {
		tmp = t_3;
	} 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 = k * (z * ((b * y0) - (i * y1)))
	t_2 = c * (y4 * ((y * y3) - (t * y2)))
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if z <= -5e+173:
		tmp = t_1
	elif z <= -9.5e+52:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif z <= -1.35e+39:
		tmp = t_1
	elif z <= -2.6e-69:
		tmp = t_3
	elif z <= 4.9e-278:
		tmp = t_2
	elif z <= 2e-226:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif z <= 5.8e-192:
		tmp = t_2
	elif z <= 1.8e-163:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 0.58:
		tmp = t_3
	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(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_2 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	t_3 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (z <= -5e+173)
		tmp = t_1;
	elseif (z <= -9.5e+52)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (z <= -1.35e+39)
		tmp = t_1;
	elseif (z <= -2.6e-69)
		tmp = t_3;
	elseif (z <= 4.9e-278)
		tmp = t_2;
	elseif (z <= 2e-226)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (z <= 5.8e-192)
		tmp = t_2;
	elseif (z <= 1.8e-163)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 0.58)
		tmp = t_3;
	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 = k * (z * ((b * y0) - (i * y1)));
	t_2 = c * (y4 * ((y * y3) - (t * y2)));
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (z <= -5e+173)
		tmp = t_1;
	elseif (z <= -9.5e+52)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (z <= -1.35e+39)
		tmp = t_1;
	elseif (z <= -2.6e-69)
		tmp = t_3;
	elseif (z <= 4.9e-278)
		tmp = t_2;
	elseif (z <= 2e-226)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (z <= 5.8e-192)
		tmp = t_2;
	elseif (z <= 1.8e-163)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 0.58)
		tmp = t_3;
	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[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -5e+173], t$95$1, If[LessEqual[z, -9.5e+52], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.35e+39], t$95$1, If[LessEqual[z, -2.6e-69], t$95$3, If[LessEqual[z, 4.9e-278], t$95$2, If[LessEqual[z, 2e-226], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 5.8e-192], t$95$2, If[LessEqual[z, 1.8e-163], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 0.58], t$95$3, t$95$1]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if z < -5.00000000000000034e173 or -9.49999999999999994e52 < z < -1.35000000000000002e39 or 0.57999999999999996 < z

   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 k around inf 38.4%

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

   3. Taylor expanded in z around inf 53.7%

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

      1. *-commutative 53.7%

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

      2. *-commutative 53.7%

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

   5. Simplified 53.7%

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

   if -5.00000000000000034e173 < z < -9.49999999999999994e52

   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 b around inf 69.3%

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

   3. Taylor expanded in y0 around inf 57.0%

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

      1. *-commutative 57.0%

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

      2. *-commutative 57.0%

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

   5. Simplified 57.0%

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

   if -1.35000000000000002e39 < z < -2.6000000000000002e-69 or 1.7999999999999999e-163 < z < 0.57999999999999996

   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 k around inf 43.7%

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

   3. Taylor expanded in y2 around inf 42.5%

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

   if -2.6000000000000002e-69 < z < 4.9000000000000002e-278 or 1.99999999999999984e-226 < z < 5.80000000000000033e-192

   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 c around inf 50.5%

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

   3. Taylor expanded in y4 around inf 45.6%

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

      1. *-commutative 45.6%

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

      2. *-commutative 45.6%

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

   5. Simplified 45.6%

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

   if 4.9000000000000002e-278 < z < 1.99999999999999984e-226

   1. Initial program 31.5%

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

   2. Taylor expanded in j around inf 37.4%

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

   3. Taylor expanded in x around inf 58.9%

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

   if 5.80000000000000033e-192 < z < 1.7999999999999999e-163

   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 j around inf 60.5%

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

   3. Taylor expanded in y0 around inf 80.5%

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

      1. *-commutative 80.5%

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

   5. Simplified 80.5%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -5 \cdot 10^{+173}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{+52}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{+39}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-69}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-278}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-226}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 5.8 \cdot 10^{-192}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-163}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 0.58:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 16: 31.3% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := i \cdot y1 - b \cdot y0\\ \mathbf{if}\;y \leq -1.1 \cdot 10^{+222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{+164}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{+40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3.2 \cdot 10^{-93}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(x \cdot t_2\right)\\ \mathbf{elif}\;y \leq 2.65 \cdot 10^{-114}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+69}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{+189}:\\ \;\;\;\;x \cdot \left(j \cdot t_2\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (- (* a b) (* c i))))) (t_2 (- (* i y1) (* b y0))))
   (if (<= y -1.1e+222)
     t_1
     (if (<= y -1.45e+164)
       (* j (* y0 (- (* y3 y5) (* x b))))
       (if (<= y -3.5e+40)
         t_1
         (if (<= y -3.2e-93)
           (* k (* y2 (- (* y1 y4) (* y0 y5))))
           (if (<= y 1.12e-262)
             (* j (* x t_2))
             (if (<= y 2.65e-114)
               (* b (* y0 (- (* z k) (* x j))))
               (if (<= y 4.5e+69)
                 (* c (* y0 (- (* x y2) (* z y3))))
                 (if (<= y 5.5e+189) (* x (* j 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 * (y * ((a * b) - (c * i)));
	double t_2 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -1.1e+222) {
		tmp = t_1;
	} else if (y <= -1.45e+164) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y <= -3.5e+40) {
		tmp = t_1;
	} else if (y <= -3.2e-93) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.12e-262) {
		tmp = j * (x * t_2);
	} else if (y <= 2.65e-114) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 4.5e+69) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 5.5e+189) {
		tmp = x * (j * 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 * (y * ((a * b) - (c * i)))
    t_2 = (i * y1) - (b * y0)
    if (y <= (-1.1d+222)) then
        tmp = t_1
    else if (y <= (-1.45d+164)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (y <= (-3.5d+40)) then
        tmp = t_1
    else if (y <= (-3.2d-93)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= 1.12d-262) then
        tmp = j * (x * t_2)
    else if (y <= 2.65d-114) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 4.5d+69) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y <= 5.5d+189) then
        tmp = x * (j * 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 * (y * ((a * b) - (c * i)));
	double t_2 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -1.1e+222) {
		tmp = t_1;
	} else if (y <= -1.45e+164) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y <= -3.5e+40) {
		tmp = t_1;
	} else if (y <= -3.2e-93) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.12e-262) {
		tmp = j * (x * t_2);
	} else if (y <= 2.65e-114) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 4.5e+69) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 5.5e+189) {
		tmp = x * (j * 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 * (y * ((a * b) - (c * i)))
	t_2 = (i * y1) - (b * y0)
	tmp = 0
	if y <= -1.1e+222:
		tmp = t_1
	elif y <= -1.45e+164:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif y <= -3.5e+40:
		tmp = t_1
	elif y <= -3.2e-93:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= 1.12e-262:
		tmp = j * (x * t_2)
	elif y <= 2.65e-114:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 4.5e+69:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y <= 5.5e+189:
		tmp = x * (j * 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(y * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(Float64(i * y1) - Float64(b * y0))
	tmp = 0.0
	if (y <= -1.1e+222)
		tmp = t_1;
	elseif (y <= -1.45e+164)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y <= -3.5e+40)
		tmp = t_1;
	elseif (y <= -3.2e-93)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= 1.12e-262)
		tmp = Float64(j * Float64(x * t_2));
	elseif (y <= 2.65e-114)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 4.5e+69)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y <= 5.5e+189)
		tmp = Float64(x * Float64(j * 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 * (y * ((a * b) - (c * i)));
	t_2 = (i * y1) - (b * y0);
	tmp = 0.0;
	if (y <= -1.1e+222)
		tmp = t_1;
	elseif (y <= -1.45e+164)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (y <= -3.5e+40)
		tmp = t_1;
	elseif (y <= -3.2e-93)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= 1.12e-262)
		tmp = j * (x * t_2);
	elseif (y <= 2.65e-114)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 4.5e+69)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y <= 5.5e+189)
		tmp = x * (j * 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[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.1e+222], t$95$1, If[LessEqual[y, -1.45e+164], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.5e+40], t$95$1, If[LessEqual[y, -3.2e-93], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.12e-262], N[(j * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.65e-114], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.5e+69], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.5e+189], N[(x * N[(j * t$95$2), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -1.1000000000000001e222 or -1.4499999999999999e164 < y < -3.4999999999999999e40 or 5.5e189 < y

   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 y around inf 60.7%

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

   3. Taylor expanded in x around inf 62.3%

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

   if -1.1000000000000001e222 < y < -1.4499999999999999e164

   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 j around inf 18.2%

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

   3. Taylor expanded in y0 around inf 50.8%

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

      1. *-commutative 50.8%

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

   5. Simplified 50.8%

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

   if -3.4999999999999999e40 < y < -3.1999999999999999e-93

   1. Initial program 38.4%

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

   2. Taylor expanded in k around inf 52.9%

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

   3. Taylor expanded in y2 around inf 37.0%

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

   if -3.1999999999999999e-93 < y < 1.12e-262

   1. Initial program 27.4%

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

   2. Taylor expanded in j around inf 28.0%

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

   3. Taylor expanded in x around inf 42.7%

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

   if 1.12e-262 < y < 2.64999999999999986e-114

   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 44.2%

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

   3. Taylor expanded in y0 around inf 54.4%

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

      1. *-commutative 54.4%

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

      2. *-commutative 54.4%

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

   5. Simplified 54.4%

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

   if 2.64999999999999986e-114 < y < 4.4999999999999999e69

   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 48.8%

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

   3. Taylor expanded in y0 around inf 46.3%

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

   if 4.4999999999999999e69 < y < 5.5e189

   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 44.9%

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

   3. Taylor expanded in j around inf 53.3%

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

      1. *-commutative 53.3%

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

      2. *-commutative 53.3%

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

   5. Simplified 53.3%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.1 \cdot 10^{+222}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{+164}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{+40}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -3.2 \cdot 10^{-93}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.65 \cdot 10^{-114}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+69}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{+189}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 17: 31.5% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := i \cdot y1 - b \cdot y0\\ \mathbf{if}\;y \leq -1.1 \cdot 10^{+219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{+164}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -8 \cdot 10^{+46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-93}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.56 \cdot 10^{-264}:\\ \;\;\;\;j \cdot \left(x \cdot t_2\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-98}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{+65}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot t_2\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (- (* a b) (* c i))))) (t_2 (- (* i y1) (* b y0))))
   (if (<= y -1.1e+219)
     t_1
     (if (<= y -1.45e+164)
       (* j (* y0 (- (* y3 y5) (* x b))))
       (if (<= y -8e+46)
         t_1
         (if (<= y -1.65e-93)
           (* k (* y2 (- (* y1 y4) (* y0 y5))))
           (if (<= y 1.56e-264)
             (* j (* x t_2))
             (if (<= y 1.6e-98)
               (* b (* y0 (- (* z k) (* x j))))
               (if (<= y 1.3e+65)
                 (* x (* y2 (- (* c y0) (* a y1))))
                 (if (<= y 3.7e+188) (* x (* j 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 * (y * ((a * b) - (c * i)));
	double t_2 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -1.1e+219) {
		tmp = t_1;
	} else if (y <= -1.45e+164) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y <= -8e+46) {
		tmp = t_1;
	} else if (y <= -1.65e-93) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.56e-264) {
		tmp = j * (x * t_2);
	} else if (y <= 1.6e-98) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 1.3e+65) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 3.7e+188) {
		tmp = x * (j * 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 * (y * ((a * b) - (c * i)))
    t_2 = (i * y1) - (b * y0)
    if (y <= (-1.1d+219)) then
        tmp = t_1
    else if (y <= (-1.45d+164)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (y <= (-8d+46)) then
        tmp = t_1
    else if (y <= (-1.65d-93)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= 1.56d-264) then
        tmp = j * (x * t_2)
    else if (y <= 1.6d-98) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 1.3d+65) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y <= 3.7d+188) then
        tmp = x * (j * 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 * (y * ((a * b) - (c * i)));
	double t_2 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -1.1e+219) {
		tmp = t_1;
	} else if (y <= -1.45e+164) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y <= -8e+46) {
		tmp = t_1;
	} else if (y <= -1.65e-93) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.56e-264) {
		tmp = j * (x * t_2);
	} else if (y <= 1.6e-98) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 1.3e+65) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 3.7e+188) {
		tmp = x * (j * 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 * (y * ((a * b) - (c * i)))
	t_2 = (i * y1) - (b * y0)
	tmp = 0
	if y <= -1.1e+219:
		tmp = t_1
	elif y <= -1.45e+164:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif y <= -8e+46:
		tmp = t_1
	elif y <= -1.65e-93:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= 1.56e-264:
		tmp = j * (x * t_2)
	elif y <= 1.6e-98:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 1.3e+65:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y <= 3.7e+188:
		tmp = x * (j * 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(y * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(Float64(i * y1) - Float64(b * y0))
	tmp = 0.0
	if (y <= -1.1e+219)
		tmp = t_1;
	elseif (y <= -1.45e+164)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y <= -8e+46)
		tmp = t_1;
	elseif (y <= -1.65e-93)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= 1.56e-264)
		tmp = Float64(j * Float64(x * t_2));
	elseif (y <= 1.6e-98)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 1.3e+65)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y <= 3.7e+188)
		tmp = Float64(x * Float64(j * 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 * (y * ((a * b) - (c * i)));
	t_2 = (i * y1) - (b * y0);
	tmp = 0.0;
	if (y <= -1.1e+219)
		tmp = t_1;
	elseif (y <= -1.45e+164)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (y <= -8e+46)
		tmp = t_1;
	elseif (y <= -1.65e-93)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= 1.56e-264)
		tmp = j * (x * t_2);
	elseif (y <= 1.6e-98)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 1.3e+65)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y <= 3.7e+188)
		tmp = x * (j * 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[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.1e+219], t$95$1, If[LessEqual[y, -1.45e+164], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -8e+46], t$95$1, If[LessEqual[y, -1.65e-93], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.56e-264], N[(j * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.6e-98], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.3e+65], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.7e+188], N[(x * N[(j * t$95$2), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -1.1000000000000001e219 or -1.4499999999999999e164 < y < -7.9999999999999999e46 or 3.7e188 < y

   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 y around inf 60.7%

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

   3. Taylor expanded in x around inf 62.3%

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

   if -1.1000000000000001e219 < y < -1.4499999999999999e164

   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 j around inf 18.2%

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

   3. Taylor expanded in y0 around inf 50.8%

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

      1. *-commutative 50.8%

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

   5. Simplified 50.8%

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

   if -7.9999999999999999e46 < y < -1.6500000000000001e-93

   1. Initial program 38.4%

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

   2. Taylor expanded in k around inf 52.9%

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

   3. Taylor expanded in y2 around inf 37.0%

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

   if -1.6500000000000001e-93 < y < 1.5599999999999999e-264

   1. Initial program 27.4%

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

   2. Taylor expanded in j around inf 28.0%

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

   3. Taylor expanded in x around inf 42.7%

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

   if 1.5599999999999999e-264 < y < 1.6e-98

   1. Initial program 17.6%

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

   2. Taylor expanded in b around inf 42.1%

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

   3. Taylor expanded in y0 around inf 51.2%

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

      1. *-commutative 51.2%

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

      2. *-commutative 51.2%

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

   5. Simplified 51.2%

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

   if 1.6e-98 < y < 1.30000000000000001e65

   1. Initial program 37.0%

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

   2. Taylor expanded in x around inf 37.5%

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

   3. Taylor expanded in y2 around inf 49.4%

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

   if 1.30000000000000001e65 < y < 3.7e188

   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 x around inf 45.2%

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

   3. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

      2. *-commutative 53.1%

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

   5. Simplified 53.1%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.1 \cdot 10^{+219}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{+164}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -8 \cdot 10^{+46}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-93}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.56 \cdot 10^{-264}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-98}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{+65}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 18: 31.5% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ \mathbf{if}\;y \leq -1.4 \cdot 10^{+43}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-35}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;y \leq -3.55 \cdot 10^{-96}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -6.8 \cdot 10^{-135}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(x \cdot t_1\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0))))
   (if (<= y -1.4e+43)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -4e-35)
       (* i (* y5 (- (* y k) (* t j))))
       (if (<= y -3.55e-96)
         (* k (* z (- (* b y0) (* i y1))))
         (if (<= y -6.8e-135)
           (* j (* b (- (* t y4) (* x y0))))
           (if (<= y 2.3e-262)
             (* j (* x t_1))
             (if (<= y 7e-101)
               (* b (* y0 (- (* z k) (* x j))))
               (if (<= y 8.5e+64)
                 (* x (* y2 (- (* c y0) (* a y1))))
                 (if (<= y 8.2e+188)
                   (* x (* j t_1))
                   (* y (* a (- (* x b) (* y3 y5))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -1.4e+43) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -4e-35) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (y <= -3.55e-96) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -6.8e-135) {
		tmp = j * (b * ((t * y4) - (x * y0)));
	} else if (y <= 2.3e-262) {
		tmp = j * (x * t_1);
	} else if (y <= 7e-101) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 8.5e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 8.2e+188) {
		tmp = x * (j * t_1);
	} else {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    if (y <= (-1.4d+43)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-4d-35)) then
        tmp = i * (y5 * ((y * k) - (t * j)))
    else if (y <= (-3.55d-96)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y <= (-6.8d-135)) then
        tmp = j * (b * ((t * y4) - (x * y0)))
    else if (y <= 2.3d-262) then
        tmp = j * (x * t_1)
    else if (y <= 7d-101) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 8.5d+64) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y <= 8.2d+188) then
        tmp = x * (j * t_1)
    else
        tmp = y * (a * ((x * b) - (y3 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -1.4e+43) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -4e-35) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (y <= -3.55e-96) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -6.8e-135) {
		tmp = j * (b * ((t * y4) - (x * y0)));
	} else if (y <= 2.3e-262) {
		tmp = j * (x * t_1);
	} else if (y <= 7e-101) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 8.5e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 8.2e+188) {
		tmp = x * (j * t_1);
	} else {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	tmp = 0
	if y <= -1.4e+43:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -4e-35:
		tmp = i * (y5 * ((y * k) - (t * j)))
	elif y <= -3.55e-96:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y <= -6.8e-135:
		tmp = j * (b * ((t * y4) - (x * y0)))
	elif y <= 2.3e-262:
		tmp = j * (x * t_1)
	elif y <= 7e-101:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 8.5e+64:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y <= 8.2e+188:
		tmp = x * (j * t_1)
	else:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	tmp = 0.0
	if (y <= -1.4e+43)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -4e-35)
		tmp = Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j))));
	elseif (y <= -3.55e-96)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y <= -6.8e-135)
		tmp = Float64(j * Float64(b * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y <= 2.3e-262)
		tmp = Float64(j * Float64(x * t_1));
	elseif (y <= 7e-101)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 8.5e+64)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y <= 8.2e+188)
		tmp = Float64(x * Float64(j * t_1));
	else
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	tmp = 0.0;
	if (y <= -1.4e+43)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -4e-35)
		tmp = i * (y5 * ((y * k) - (t * j)));
	elseif (y <= -3.55e-96)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y <= -6.8e-135)
		tmp = j * (b * ((t * y4) - (x * y0)));
	elseif (y <= 2.3e-262)
		tmp = j * (x * t_1);
	elseif (y <= 7e-101)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 8.5e+64)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y <= 8.2e+188)
		tmp = x * (j * t_1);
	else
		tmp = y * (a * ((x * b) - (y3 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.4e+43], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -4e-35], N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.55e-96], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -6.8e-135], N[(j * N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.3e-262], N[(j * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7e-101], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8.5e+64], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8.2e+188], N[(x * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y < -1.40000000000000009e43

   1. Initial program 33.6%

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

   2. Taylor expanded in y around inf 55.0%

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

   3. Taylor expanded in x around inf 49.8%

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

   if -1.40000000000000009e43 < y < -4.00000000000000003e-35

   1. Initial program 41.0%

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

   2. Taylor expanded in i around -inf 34.3%

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

   3. Taylor expanded in y5 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. *-commutative 47.4%

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

      2. *-commutative 47.4%

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

   5. Simplified 47.4%

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

   if -4.00000000000000003e-35 < y < -3.55000000000000019e-96

   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 k around inf 47.4%

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

   3. Taylor expanded in z around inf 54.2%

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

      1. *-commutative 54.2%

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

      2. *-commutative 54.2%

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

   5. Simplified 54.2%

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

   if -3.55000000000000019e-96 < y < -6.79999999999999978e-135

   1. Initial program 33.1%

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

   2. Taylor expanded in j around inf 33.9%

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

   3. Taylor expanded in b around inf 67.3%

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

      1. *-commutative 67.3%

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

      2. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   if -6.79999999999999978e-135 < y < 2.3000000000000001e-262

   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 j around inf 27.8%

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

   3. Taylor expanded in x around inf 42.3%

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

   if 2.3000000000000001e-262 < y < 6.99999999999999989e-101

   1. Initial program 17.6%

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

   2. Taylor expanded in b around inf 42.1%

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

   3. Taylor expanded in y0 around inf 51.2%

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

      1. *-commutative 51.2%

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

      2. *-commutative 51.2%

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

   5. Simplified 51.2%

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

   if 6.99999999999999989e-101 < y < 8.4999999999999998e64

   1. Initial program 37.0%

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

   2. Taylor expanded in x around inf 37.5%

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

   3. Taylor expanded in y2 around inf 49.4%

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

   if 8.4999999999999998e64 < y < 8.2e188

   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 x around inf 45.2%

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

   3. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

      2. *-commutative 53.1%

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

   5. Simplified 53.1%

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

   if 8.2e188 < y

   1. Initial program 34.7%

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

   2. Taylor expanded in y around inf 60.9%

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

   3. Taylor expanded in a around inf 61.6%

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

      1. *-commutative 61.6%

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

   5. Simplified 61.6%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 50.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.4 \cdot 10^{+43}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-35}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;y \leq -3.55 \cdot 10^{-96}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -6.8 \cdot 10^{-135}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]

Alternative 19: 31.3% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ \mathbf{if}\;y \leq -4.5 \cdot 10^{+41}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -0.0048:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-93}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(x \cdot t_1\right)\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot t_1\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+252}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0))))
   (if (<= y -4.5e+41)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -0.0048)
       (* k (* y2 (- (* y1 y4) (* y0 y5))))
       (if (<= y -2.1e-93)
         (* j (* y5 (- (* y0 y3) (* t i))))
         (if (<= y 2.2e-262)
           (* j (* x t_1))
           (if (<= y 2.15e-101)
             (* b (* y0 (- (* z k) (* x j))))
             (if (<= y 7e+64)
               (* x (* y2 (- (* c y0) (* a y1))))
               (if (<= y 1.4e+188)
                 (* x (* j t_1))
                 (if (<= y 7e+252)
                   (* y (* a (- (* x b) (* y3 y5))))
                   (* i (* y5 (- (* y k) (* t j))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -4.5e+41) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -0.0048) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= -2.1e-93) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 2.2e-262) {
		tmp = j * (x * t_1);
	} else if (y <= 2.15e-101) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 7e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 1.4e+188) {
		tmp = x * (j * t_1);
	} else if (y <= 7e+252) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else {
		tmp = i * (y5 * ((y * k) - (t * j)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    if (y <= (-4.5d+41)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-0.0048d0)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= (-2.1d-93)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y <= 2.2d-262) then
        tmp = j * (x * t_1)
    else if (y <= 2.15d-101) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 7d+64) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y <= 1.4d+188) then
        tmp = x * (j * t_1)
    else if (y <= 7d+252) then
        tmp = y * (a * ((x * b) - (y3 * y5)))
    else
        tmp = i * (y5 * ((y * k) - (t * j)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -4.5e+41) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -0.0048) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= -2.1e-93) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 2.2e-262) {
		tmp = j * (x * t_1);
	} else if (y <= 2.15e-101) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 7e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 1.4e+188) {
		tmp = x * (j * t_1);
	} else if (y <= 7e+252) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else {
		tmp = i * (y5 * ((y * k) - (t * j)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	tmp = 0
	if y <= -4.5e+41:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -0.0048:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= -2.1e-93:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y <= 2.2e-262:
		tmp = j * (x * t_1)
	elif y <= 2.15e-101:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 7e+64:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y <= 1.4e+188:
		tmp = x * (j * t_1)
	elif y <= 7e+252:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	else:
		tmp = i * (y5 * ((y * k) - (t * j)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	tmp = 0.0
	if (y <= -4.5e+41)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -0.0048)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= -2.1e-93)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y <= 2.2e-262)
		tmp = Float64(j * Float64(x * t_1));
	elseif (y <= 2.15e-101)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 7e+64)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y <= 1.4e+188)
		tmp = Float64(x * Float64(j * t_1));
	elseif (y <= 7e+252)
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	else
		tmp = Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	tmp = 0.0;
	if (y <= -4.5e+41)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -0.0048)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= -2.1e-93)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y <= 2.2e-262)
		tmp = j * (x * t_1);
	elseif (y <= 2.15e-101)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 7e+64)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y <= 1.4e+188)
		tmp = x * (j * t_1);
	elseif (y <= 7e+252)
		tmp = y * (a * ((x * b) - (y3 * y5)));
	else
		tmp = i * (y5 * ((y * k) - (t * j)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -4.5e+41], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -0.0048], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.1e-93], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.2e-262], N[(j * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.15e-101], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7e+64], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.4e+188], N[(x * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7e+252], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y < -4.5000000000000001e41

   1. Initial program 33.6%

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

   2. Taylor expanded in y around inf 55.0%

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

   3. Taylor expanded in x around inf 49.8%

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

   if -4.5000000000000001e41 < y < -0.00479999999999999958

   1. Initial program 31.5%

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

   2. Taylor expanded in k around inf 71.6%

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

   3. Taylor expanded in y2 around inf 52.4%

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

   if -0.00479999999999999958 < y < -2.1000000000000001e-93

   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 j around inf 48.4%

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

   3. Taylor expanded in y5 around inf 58.8%

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

   if -2.1000000000000001e-93 < y < 2.19999999999999989e-262

   1. Initial program 27.4%

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

   2. Taylor expanded in j around inf 28.0%

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

   3. Taylor expanded in x around inf 42.7%

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

   if 2.19999999999999989e-262 < y < 2.1499999999999999e-101

   1. Initial program 17.6%

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

   2. Taylor expanded in b around inf 42.1%

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

   3. Taylor expanded in y0 around inf 51.2%

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

      1. *-commutative 51.2%

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

      2. *-commutative 51.2%

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

   5. Simplified 51.2%

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

   if 2.1499999999999999e-101 < y < 6.9999999999999997e64

   1. Initial program 37.0%

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

   2. Taylor expanded in x around inf 37.5%

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

   3. Taylor expanded in y2 around inf 49.4%

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

   if 6.9999999999999997e64 < y < 1.3999999999999999e188

   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 x around inf 45.2%

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

   3. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

      2. *-commutative 53.1%

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

   5. Simplified 53.1%

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

   if 1.3999999999999999e188 < y < 6.9999999999999999e252

   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 y around inf 53.9%

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

   3. Taylor expanded in a around inf 69.6%

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

      1. *-commutative 69.6%

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

   5. Simplified 69.6%

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

   if 6.9999999999999999e252 < y

   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 i around -inf 60.2%

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

   3. Taylor expanded in y5 around inf 80.2%

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

      1. *-commutative 80.2%

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

      2. *-commutative 80.2%

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

   5. Simplified 80.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -4.5 \cdot 10^{+41}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -0.0048:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-93}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+252}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \end{array} \]

Alternative 20: 31.4% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+40}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -0.042:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -7 \cdot 10^{-95}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-263}:\\ \;\;\;\;j \cdot \left(x \cdot t_1\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-100}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot t_1\right)\\ \mathbf{elif}\;y \leq 10^{+233}:\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0))))
   (if (<= y -5.8e+40)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -0.042)
       (* k (* y2 (- (* y1 y4) (* y0 y5))))
       (if (<= y -7e-95)
         (* j (* y5 (- (* y0 y3) (* t i))))
         (if (<= y 1.6e-263)
           (* j (* x t_1))
           (if (<= y 1.35e-100)
             (* b (* y0 (- (* z k) (* x j))))
             (if (<= y 7.6e+64)
               (* x (* y2 (- (* c y0) (* a y1))))
               (if (<= y 2.3e+188)
                 (* x (* j t_1))
                 (if (<= y 1e+233)
                   (* y (* b (- (* x a) (* k y4))))
                   (* i (* y5 (- (* y k) (* t j))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -5.8e+40) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -0.042) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= -7e-95) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 1.6e-263) {
		tmp = j * (x * t_1);
	} else if (y <= 1.35e-100) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 7.6e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 2.3e+188) {
		tmp = x * (j * t_1);
	} else if (y <= 1e+233) {
		tmp = y * (b * ((x * a) - (k * y4)));
	} else {
		tmp = i * (y5 * ((y * k) - (t * j)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    if (y <= (-5.8d+40)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-0.042d0)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= (-7d-95)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y <= 1.6d-263) then
        tmp = j * (x * t_1)
    else if (y <= 1.35d-100) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 7.6d+64) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y <= 2.3d+188) then
        tmp = x * (j * t_1)
    else if (y <= 1d+233) then
        tmp = y * (b * ((x * a) - (k * y4)))
    else
        tmp = i * (y5 * ((y * k) - (t * j)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -5.8e+40) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -0.042) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= -7e-95) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 1.6e-263) {
		tmp = j * (x * t_1);
	} else if (y <= 1.35e-100) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 7.6e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 2.3e+188) {
		tmp = x * (j * t_1);
	} else if (y <= 1e+233) {
		tmp = y * (b * ((x * a) - (k * y4)));
	} else {
		tmp = i * (y5 * ((y * k) - (t * j)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	tmp = 0
	if y <= -5.8e+40:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -0.042:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= -7e-95:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y <= 1.6e-263:
		tmp = j * (x * t_1)
	elif y <= 1.35e-100:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 7.6e+64:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y <= 2.3e+188:
		tmp = x * (j * t_1)
	elif y <= 1e+233:
		tmp = y * (b * ((x * a) - (k * y4)))
	else:
		tmp = i * (y5 * ((y * k) - (t * j)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	tmp = 0.0
	if (y <= -5.8e+40)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -0.042)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= -7e-95)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y <= 1.6e-263)
		tmp = Float64(j * Float64(x * t_1));
	elseif (y <= 1.35e-100)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 7.6e+64)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y <= 2.3e+188)
		tmp = Float64(x * Float64(j * t_1));
	elseif (y <= 1e+233)
		tmp = Float64(y * Float64(b * Float64(Float64(x * a) - Float64(k * y4))));
	else
		tmp = Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	tmp = 0.0;
	if (y <= -5.8e+40)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -0.042)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= -7e-95)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y <= 1.6e-263)
		tmp = j * (x * t_1);
	elseif (y <= 1.35e-100)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 7.6e+64)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y <= 2.3e+188)
		tmp = x * (j * t_1);
	elseif (y <= 1e+233)
		tmp = y * (b * ((x * a) - (k * y4)));
	else
		tmp = i * (y5 * ((y * k) - (t * j)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -5.8e+40], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -0.042], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7e-95], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.6e-263], N[(j * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.35e-100], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7.6e+64], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.3e+188], N[(x * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1e+233], N[(y * N[(b * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y < -5.80000000000000035e40

   1. Initial program 33.6%

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

   2. Taylor expanded in y around inf 55.0%

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

   3. Taylor expanded in x around inf 49.8%

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

   if -5.80000000000000035e40 < y < -0.0420000000000000026

   1. Initial program 31.5%

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

   2. Taylor expanded in k around inf 71.6%

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

   3. Taylor expanded in y2 around inf 52.4%

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

   if -0.0420000000000000026 < y < -6.9999999999999994e-95

   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 j around inf 48.4%

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

   3. Taylor expanded in y5 around inf 58.8%

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

   if -6.9999999999999994e-95 < y < 1.6e-263

   1. Initial program 27.4%

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

   2. Taylor expanded in j around inf 28.0%

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

   3. Taylor expanded in x around inf 42.7%

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

   if 1.6e-263 < y < 1.35000000000000008e-100

   1. Initial program 17.6%

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

   2. Taylor expanded in b around inf 42.1%

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

   3. Taylor expanded in y0 around inf 51.2%

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

      1. *-commutative 51.2%

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

      2. *-commutative 51.2%

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

   5. Simplified 51.2%

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

   if 1.35000000000000008e-100 < y < 7.6000000000000002e64

   1. Initial program 37.0%

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

   2. Taylor expanded in x around inf 37.5%

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

   3. Taylor expanded in y2 around inf 49.4%

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

   if 7.6000000000000002e64 < y < 2.30000000000000011e188

   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 x around inf 45.2%

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

   3. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

      2. *-commutative 53.1%

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

   5. Simplified 53.1%

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

   if 2.30000000000000011e188 < y < 9.99999999999999974e232

   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 y around inf 54.6%

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

   3. Taylor expanded in b around inf 73.1%

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

   if 9.99999999999999974e232 < y

   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 i around -inf 58.5%

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

   3. Taylor expanded in y5 around inf 75.1%

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

      1. *-commutative 75.1%

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

      2. *-commutative 75.1%

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

   5. Simplified 75.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -5.8 \cdot 10^{+40}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -0.042:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -7 \cdot 10^{-95}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-263}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-100}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 10^{+233}:\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \end{array} \]

Alternative 21: 21.4% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{if}\;c \leq -1.08 \cdot 10^{+158}:\\ \;\;\;\;x \cdot \left(i \cdot \left(-y \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -9.2 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(-x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -2.85 \cdot 10^{-101}:\\ \;\;\;\;c \cdot \left(\left(x \cdot y\right) \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{-126}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.7 \cdot 10^{-243}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.4 \cdot 10^{+15}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* k (* y y5)))))
   (if (<= c -1.08e+158)
     (* x (* i (- (* y c))))
     (if (<= c -9.2e-80)
       (* b (* j (- (* x y0))))
       (if (<= c -2.85e-101)
         (* c (* (* x y) (- i)))
         (if (<= c -5.1e-126)
           t_1
           (if (<= c -3.7e-243)
             (* b (* k (* z y0)))
             (if (<= c 3.2e-280)
               t_1
               (if (<= c 1.4e+15)
                 (* x (* y (* a b)))
                 (* x (* y2 (* c 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 = i * (k * (y * y5));
	double tmp;
	if (c <= -1.08e+158) {
		tmp = x * (i * -(y * c));
	} else if (c <= -9.2e-80) {
		tmp = b * (j * -(x * y0));
	} else if (c <= -2.85e-101) {
		tmp = c * ((x * y) * -i);
	} else if (c <= -5.1e-126) {
		tmp = t_1;
	} else if (c <= -3.7e-243) {
		tmp = b * (k * (z * y0));
	} else if (c <= 3.2e-280) {
		tmp = t_1;
	} else if (c <= 1.4e+15) {
		tmp = x * (y * (a * b));
	} else {
		tmp = x * (y2 * (c * 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 = i * (k * (y * y5))
    if (c <= (-1.08d+158)) then
        tmp = x * (i * -(y * c))
    else if (c <= (-9.2d-80)) then
        tmp = b * (j * -(x * y0))
    else if (c <= (-2.85d-101)) then
        tmp = c * ((x * y) * -i)
    else if (c <= (-5.1d-126)) then
        tmp = t_1
    else if (c <= (-3.7d-243)) then
        tmp = b * (k * (z * y0))
    else if (c <= 3.2d-280) then
        tmp = t_1
    else if (c <= 1.4d+15) then
        tmp = x * (y * (a * b))
    else
        tmp = x * (y2 * (c * 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 = i * (k * (y * y5));
	double tmp;
	if (c <= -1.08e+158) {
		tmp = x * (i * -(y * c));
	} else if (c <= -9.2e-80) {
		tmp = b * (j * -(x * y0));
	} else if (c <= -2.85e-101) {
		tmp = c * ((x * y) * -i);
	} else if (c <= -5.1e-126) {
		tmp = t_1;
	} else if (c <= -3.7e-243) {
		tmp = b * (k * (z * y0));
	} else if (c <= 3.2e-280) {
		tmp = t_1;
	} else if (c <= 1.4e+15) {
		tmp = x * (y * (a * b));
	} else {
		tmp = x * (y2 * (c * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (k * (y * y5))
	tmp = 0
	if c <= -1.08e+158:
		tmp = x * (i * -(y * c))
	elif c <= -9.2e-80:
		tmp = b * (j * -(x * y0))
	elif c <= -2.85e-101:
		tmp = c * ((x * y) * -i)
	elif c <= -5.1e-126:
		tmp = t_1
	elif c <= -3.7e-243:
		tmp = b * (k * (z * y0))
	elif c <= 3.2e-280:
		tmp = t_1
	elif c <= 1.4e+15:
		tmp = x * (y * (a * b))
	else:
		tmp = x * (y2 * (c * 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(i * Float64(k * Float64(y * y5)))
	tmp = 0.0
	if (c <= -1.08e+158)
		tmp = Float64(x * Float64(i * Float64(-Float64(y * c))));
	elseif (c <= -9.2e-80)
		tmp = Float64(b * Float64(j * Float64(-Float64(x * y0))));
	elseif (c <= -2.85e-101)
		tmp = Float64(c * Float64(Float64(x * y) * Float64(-i)));
	elseif (c <= -5.1e-126)
		tmp = t_1;
	elseif (c <= -3.7e-243)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (c <= 3.2e-280)
		tmp = t_1;
	elseif (c <= 1.4e+15)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	else
		tmp = Float64(x * Float64(y2 * Float64(c * 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 = i * (k * (y * y5));
	tmp = 0.0;
	if (c <= -1.08e+158)
		tmp = x * (i * -(y * c));
	elseif (c <= -9.2e-80)
		tmp = b * (j * -(x * y0));
	elseif (c <= -2.85e-101)
		tmp = c * ((x * y) * -i);
	elseif (c <= -5.1e-126)
		tmp = t_1;
	elseif (c <= -3.7e-243)
		tmp = b * (k * (z * y0));
	elseif (c <= 3.2e-280)
		tmp = t_1;
	elseif (c <= 1.4e+15)
		tmp = x * (y * (a * b));
	else
		tmp = x * (y2 * (c * 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[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -1.08e+158], N[(x * N[(i * (-N[(y * c), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -9.2e-80], N[(b * N[(j * (-N[(x * y0), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -2.85e-101], N[(c * N[(N[(x * y), $MachinePrecision] * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -5.1e-126], t$95$1, If[LessEqual[c, -3.7e-243], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.2e-280], t$95$1, If[LessEqual[c, 1.4e+15], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(y2 * N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if c < -1.08e158

   1. Initial program 27.6%

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

   2. Taylor expanded in y around inf 33.8%

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

   3. Taylor expanded in x around inf 52.2%

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

   4. Taylor expanded in a around 0 40.4%

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

      1. associate-*r* 40.4%

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

      2. *-commutative 40.4%

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

      3. mul-1-neg 40.4%

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

      4. associate-*r* 40.4%

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

      5. *-commutative 40.4%

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

      6. distribute-lft-neg-in 40.4%

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

      7. distribute-rgt-neg-in 40.4%

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

   6. Simplified 40.4%

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

   if -1.08e158 < c < -9.1999999999999993e-80

   1. Initial program 21.5%

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

   2. Taylor expanded in b around inf 33.1%

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

   3. Taylor expanded in y0 around inf 33.8%

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

      1. *-commutative 33.8%

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

      2. *-commutative 33.8%

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

   5. Simplified 33.8%

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

   6. Taylor expanded in z around 0 29.1%

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

      1. mul-1-neg 29.1%

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

      2. *-commutative 29.1%

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

      3. distribute-rgt-neg-in 29.1%

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

   8. Simplified 29.1%

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

   if -9.1999999999999993e-80 < c < -2.84999999999999992e-101

   1. Initial program 100.0%

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

   2. Taylor expanded in c around inf 40.7%

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

   3. Taylor expanded in i around inf 61.1%

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

      1. mul-1-neg 61.1%

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

      2. *-commutative 61.1%

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

      3. distribute-rgt-neg-out 61.1%

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

      4. *-commutative 61.1%

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

   5. Simplified 61.1%

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

   6. Taylor expanded in x around inf 61.1%

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

   if -2.84999999999999992e-101 < c < -5.10000000000000002e-126 or -3.7e-243 < c < 3.2000000000000001e-280

   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 i around -inf 47.3%

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

   3. Taylor expanded in k around -inf 54.0%

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

      1. associate-*r* 54.0%

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

      2. neg-mul-1 54.0%

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

      3. *-commutative 54.0%

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

   5. Simplified 54.0%

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

   6. Taylor expanded in y around inf 44.6%

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

   if -5.10000000000000002e-126 < c < -3.7e-243

   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 b around inf 41.0%

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

   3. Taylor expanded in y0 around inf 50.6%

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

      1. *-commutative 50.6%

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

      2. *-commutative 50.6%

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

   5. Simplified 50.6%

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

   6. Taylor expanded in z around inf 50.8%

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

   if 3.2000000000000001e-280 < c < 1.4e15

   1. Initial program 35.7%

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

   2. Taylor expanded in y around inf 43.1%

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

   3. Taylor expanded in x around inf 35.4%

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

   4. Taylor expanded in a around inf 36.5%

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

   if 1.4e15 < c

   1. Initial program 28.7%

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

   2. Taylor expanded in x around inf 42.5%

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

   3. Taylor expanded in y2 around inf 41.2%

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

   4. Taylor expanded in c around inf 39.5%

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

      1. *-commutative 39.5%

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

   6. Simplified 39.5%

      \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(y0 \cdot c\right)}\right) \]
3. Recombined 7 regimes into one program.

4. Final simplification 39.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.08 \cdot 10^{+158}:\\ \;\;\;\;x \cdot \left(i \cdot \left(-y \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -9.2 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(-x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -2.85 \cdot 10^{-101}:\\ \;\;\;\;c \cdot \left(\left(x \cdot y\right) \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{-126}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -3.7 \cdot 10^{-243}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-280}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.4 \cdot 10^{+15}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \end{array} \]

Alternative 22: 31.5% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+41}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -1.22 \cdot 10^{-93}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.55 \cdot 10^{-263}:\\ \;\;\;\;j \cdot \left(x \cdot t_1\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0))))
   (if (<= y -3.6e+41)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -1.22e-93)
       (* k (* y2 (- (* y1 y4) (* y0 y5))))
       (if (<= y 1.55e-263)
         (* j (* x t_1))
         (if (<= y 1.2e-101)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y 8.5e+64)
             (* x (* y2 (- (* c y0) (* a y1))))
             (if (<= y 1.65e+188)
               (* x (* j t_1))
               (* y (* a (- (* x b) (* y3 y5))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -3.6e+41) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -1.22e-93) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.55e-263) {
		tmp = j * (x * t_1);
	} else if (y <= 1.2e-101) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 8.5e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 1.65e+188) {
		tmp = x * (j * t_1);
	} else {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    if (y <= (-3.6d+41)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-1.22d-93)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= 1.55d-263) then
        tmp = j * (x * t_1)
    else if (y <= 1.2d-101) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 8.5d+64) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y <= 1.65d+188) then
        tmp = x * (j * t_1)
    else
        tmp = y * (a * ((x * b) - (y3 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double tmp;
	if (y <= -3.6e+41) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -1.22e-93) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.55e-263) {
		tmp = j * (x * t_1);
	} else if (y <= 1.2e-101) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 8.5e+64) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 1.65e+188) {
		tmp = x * (j * t_1);
	} else {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	tmp = 0
	if y <= -3.6e+41:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -1.22e-93:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= 1.55e-263:
		tmp = j * (x * t_1)
	elif y <= 1.2e-101:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 8.5e+64:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y <= 1.65e+188:
		tmp = x * (j * t_1)
	else:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	tmp = 0.0
	if (y <= -3.6e+41)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -1.22e-93)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= 1.55e-263)
		tmp = Float64(j * Float64(x * t_1));
	elseif (y <= 1.2e-101)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 8.5e+64)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y <= 1.65e+188)
		tmp = Float64(x * Float64(j * t_1));
	else
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	tmp = 0.0;
	if (y <= -3.6e+41)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -1.22e-93)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= 1.55e-263)
		tmp = j * (x * t_1);
	elseif (y <= 1.2e-101)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 8.5e+64)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y <= 1.65e+188)
		tmp = x * (j * t_1);
	else
		tmp = y * (a * ((x * b) - (y3 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -3.6e+41], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.22e-93], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.55e-263], N[(j * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.2e-101], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8.5e+64], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.65e+188], N[(x * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -3.60000000000000025e41

   1. Initial program 33.6%

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

   2. Taylor expanded in y around inf 55.0%

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

   3. Taylor expanded in x around inf 49.8%

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

   if -3.60000000000000025e41 < y < -1.21999999999999998e-93

   1. Initial program 38.4%

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

   2. Taylor expanded in k around inf 52.9%

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

   3. Taylor expanded in y2 around inf 37.0%

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

   if -1.21999999999999998e-93 < y < 1.55000000000000002e-263

   1. Initial program 27.4%

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

   2. Taylor expanded in j around inf 28.0%

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

   3. Taylor expanded in x around inf 42.7%

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

   if 1.55000000000000002e-263 < y < 1.2e-101

   1. Initial program 17.6%

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

   2. Taylor expanded in b around inf 42.1%

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

   3. Taylor expanded in y0 around inf 51.2%

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

      1. *-commutative 51.2%

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

      2. *-commutative 51.2%

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

   5. Simplified 51.2%

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

   if 1.2e-101 < y < 8.4999999999999998e64

   1. Initial program 37.0%

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

   2. Taylor expanded in x around inf 37.5%

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

   3. Taylor expanded in y2 around inf 49.4%

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

   if 8.4999999999999998e64 < y < 1.64999999999999991e188

   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 x around inf 45.2%

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

   3. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

      2. *-commutative 53.1%

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

   5. Simplified 53.1%

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

   if 1.64999999999999991e188 < y

   1. Initial program 34.7%

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

   2. Taylor expanded in y around inf 60.9%

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

   3. Taylor expanded in a around inf 61.6%

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

      1. *-commutative 61.6%

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

   5. Simplified 61.6%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -3.6 \cdot 10^{+41}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -1.22 \cdot 10^{-93}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.55 \cdot 10^{-263}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+188}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]

Alternative 23: 30.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;c \leq -4.3 \cdot 10^{+138}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -8 \cdot 10^{+40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -8.5 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.9 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 4.7 \cdot 10^{+14}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j)))))
        (t_2 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= c -4.3e+138)
     t_2
     (if (<= c -8e+40)
       t_1
       (if (<= c -8.5e-22)
         t_2
         (if (<= c 3.9e-280)
           t_1
           (if (<= c 4.7e+14)
             (* b (* a (- (* x y) (* z t))))
             (* c (* y0 (- (* x y2) (* z y3)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (c <= -4.3e+138) {
		tmp = t_2;
	} else if (c <= -8e+40) {
		tmp = t_1;
	} else if (c <= -8.5e-22) {
		tmp = t_2;
	} else if (c <= 3.9e-280) {
		tmp = t_1;
	} else if (c <= 4.7e+14) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y0 * ((z * k) - (x * j)))
    t_2 = c * (y4 * ((y * y3) - (t * y2)))
    if (c <= (-4.3d+138)) then
        tmp = t_2
    else if (c <= (-8d+40)) then
        tmp = t_1
    else if (c <= (-8.5d-22)) then
        tmp = t_2
    else if (c <= 3.9d-280) then
        tmp = t_1
    else if (c <= 4.7d+14) then
        tmp = b * (a * ((x * y) - (z * t)))
    else
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (c <= -4.3e+138) {
		tmp = t_2;
	} else if (c <= -8e+40) {
		tmp = t_1;
	} else if (c <= -8.5e-22) {
		tmp = t_2;
	} else if (c <= 3.9e-280) {
		tmp = t_1;
	} else if (c <= 4.7e+14) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y0 * ((z * k) - (x * j)))
	t_2 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if c <= -4.3e+138:
		tmp = t_2
	elif c <= -8e+40:
		tmp = t_1
	elif c <= -8.5e-22:
		tmp = t_2
	elif c <= 3.9e-280:
		tmp = t_1
	elif c <= 4.7e+14:
		tmp = b * (a * ((x * y) - (z * t)))
	else:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	t_2 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (c <= -4.3e+138)
		tmp = t_2;
	elseif (c <= -8e+40)
		tmp = t_1;
	elseif (c <= -8.5e-22)
		tmp = t_2;
	elseif (c <= 3.9e-280)
		tmp = t_1;
	elseif (c <= 4.7e+14)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	else
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y0 * ((z * k) - (x * j)));
	t_2 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (c <= -4.3e+138)
		tmp = t_2;
	elseif (c <= -8e+40)
		tmp = t_1;
	elseif (c <= -8.5e-22)
		tmp = t_2;
	elseif (c <= 3.9e-280)
		tmp = t_1;
	elseif (c <= 4.7e+14)
		tmp = b * (a * ((x * y) - (z * t)));
	else
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -4.3e+138], t$95$2, If[LessEqual[c, -8e+40], t$95$1, If[LessEqual[c, -8.5e-22], t$95$2, If[LessEqual[c, 3.9e-280], t$95$1, If[LessEqual[c, 4.7e+14], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if c < -4.2999999999999998e138 or -8.00000000000000024e40 < c < -8.5000000000000001e-22

   1. Initial program 23.2%

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

   2. Taylor expanded in c around inf 58.5%

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

   3. Taylor expanded in y4 around inf 44.3%

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

      1. *-commutative 44.3%

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

      2. *-commutative 44.3%

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

   5. Simplified 44.3%

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

   if -4.2999999999999998e138 < c < -8.00000000000000024e40 or -8.5000000000000001e-22 < c < 3.89999999999999998e-280

   1. Initial program 34.7%

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

   2. Taylor expanded in b around inf 38.3%

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

   3. Taylor expanded in y0 around inf 44.4%

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

      1. *-commutative 44.4%

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

      2. *-commutative 44.4%

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

   5. Simplified 44.4%

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

   if 3.89999999999999998e-280 < c < 4.7e14

   1. Initial program 35.7%

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

   2. Taylor expanded in b around inf 42.3%

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

   3. Taylor expanded in a around inf 39.9%

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

      1. *-commutative 39.9%

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

      2. *-commutative 39.9%

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

   5. Simplified 39.9%

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

   if 4.7e14 < c

   1. Initial program 28.7%

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

   2. Taylor expanded in c around inf 68.1%

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

   3. Taylor expanded in y0 around inf 51.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 44.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -4.3 \cdot 10^{+138}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -8 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -8.5 \cdot 10^{-22}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 3.9 \cdot 10^{-280}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 4.7 \cdot 10^{+14}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]

Alternative 24: 29.9% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;c \leq -3.8 \cdot 10^{+149}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{+38}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.32 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{+15}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= c -3.8e+149)
     t_1
     (if (<= c -1.65e+38)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= c -4.5e-21)
         t_1
         (if (<= c 1.32e-278)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= c 1.1e+15)
             (* b (* a (- (* x y) (* z t))))
             (* c (* y0 (- (* x y2) (* z y3)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (c <= -3.8e+149) {
		tmp = t_1;
	} else if (c <= -1.65e+38) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (c <= -4.5e-21) {
		tmp = t_1;
	} else if (c <= 1.32e-278) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 1.1e+15) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (y4 * ((y * y3) - (t * y2)))
    if (c <= (-3.8d+149)) then
        tmp = t_1
    else if (c <= (-1.65d+38)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (c <= (-4.5d-21)) then
        tmp = t_1
    else if (c <= 1.32d-278) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (c <= 1.1d+15) then
        tmp = b * (a * ((x * y) - (z * t)))
    else
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (c <= -3.8e+149) {
		tmp = t_1;
	} else if (c <= -1.65e+38) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (c <= -4.5e-21) {
		tmp = t_1;
	} else if (c <= 1.32e-278) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 1.1e+15) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if c <= -3.8e+149:
		tmp = t_1
	elif c <= -1.65e+38:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif c <= -4.5e-21:
		tmp = t_1
	elif c <= 1.32e-278:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif c <= 1.1e+15:
		tmp = b * (a * ((x * y) - (z * t)))
	else:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (c <= -3.8e+149)
		tmp = t_1;
	elseif (c <= -1.65e+38)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (c <= -4.5e-21)
		tmp = t_1;
	elseif (c <= 1.32e-278)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (c <= 1.1e+15)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	else
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (c <= -3.8e+149)
		tmp = t_1;
	elseif (c <= -1.65e+38)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (c <= -4.5e-21)
		tmp = t_1;
	elseif (c <= 1.32e-278)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (c <= 1.1e+15)
		tmp = b * (a * ((x * y) - (z * t)));
	else
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -3.8e+149], t$95$1, If[LessEqual[c, -1.65e+38], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4.5e-21], t$95$1, If[LessEqual[c, 1.32e-278], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.1e+15], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if c < -3.8000000000000001e149 or -1.65e38 < c < -4.49999999999999968e-21

   1. Initial program 24.8%

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

   2. Taylor expanded in c around inf 60.1%

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

   3. Taylor expanded in y4 around inf 45.0%

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

      1. *-commutative 45.0%

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

      2. *-commutative 45.0%

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

   5. Simplified 45.0%

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

   if -3.8000000000000001e149 < c < -1.65e38

   1. Initial program 17.6%

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

   2. Taylor expanded in j around inf 41.4%

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

   3. Taylor expanded in x around inf 54.2%

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

   if -4.49999999999999968e-21 < c < 1.32e-278

   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 b around inf 38.7%

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

   3. Taylor expanded in y0 around inf 41.8%

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

      1. *-commutative 41.8%

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

      2. *-commutative 41.8%

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

   5. Simplified 41.8%

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

   if 1.32e-278 < c < 1.1e15

   1. Initial program 35.7%

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

   2. Taylor expanded in b around inf 42.3%

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

   3. Taylor expanded in a around inf 39.9%

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

      1. *-commutative 39.9%

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

      2. *-commutative 39.9%

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

   5. Simplified 39.9%

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

   if 1.1e15 < c

   1. Initial program 28.7%

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

   2. Taylor expanded in c around inf 68.1%

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

   3. Taylor expanded in y0 around inf 51.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 44.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -3.8 \cdot 10^{+149}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{+38}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-21}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 1.32 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{+15}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]

Alternative 25: 21.5% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{if}\;y0 \leq -1 \cdot 10^{+62}:\\ \;\;\;\;b \cdot \left(j \cdot \left(-x \cdot y0\right)\right)\\ \mathbf{elif}\;y0 \leq 8.2 \cdot 10^{-192}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq 7.1 \cdot 10^{-22}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y1 \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y0 \leq 9.6 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 5.3 \cdot 10^{+200}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (* a b)))))
   (if (<= y0 -1e+62)
     (* b (* j (- (* x y0))))
     (if (<= y0 8.2e-192)
       t_1
       (if (<= y0 7.1e-22)
         (* i (* k (* y1 (- z))))
         (if (<= y0 9.6e+101)
           (* c (* x (* y0 y2)))
           (if (<= y0 5.3e+200) t_1 (* b (* k (* z y0))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * b));
	double tmp;
	if (y0 <= -1e+62) {
		tmp = b * (j * -(x * y0));
	} else if (y0 <= 8.2e-192) {
		tmp = t_1;
	} else if (y0 <= 7.1e-22) {
		tmp = i * (k * (y1 * -z));
	} else if (y0 <= 9.6e+101) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= 5.3e+200) {
		tmp = t_1;
	} else {
		tmp = b * (k * (z * y0));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x * (y * (a * b))
    if (y0 <= (-1d+62)) then
        tmp = b * (j * -(x * y0))
    else if (y0 <= 8.2d-192) then
        tmp = t_1
    else if (y0 <= 7.1d-22) then
        tmp = i * (k * (y1 * -z))
    else if (y0 <= 9.6d+101) then
        tmp = c * (x * (y0 * y2))
    else if (y0 <= 5.3d+200) then
        tmp = t_1
    else
        tmp = b * (k * (z * y0))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * b));
	double tmp;
	if (y0 <= -1e+62) {
		tmp = b * (j * -(x * y0));
	} else if (y0 <= 8.2e-192) {
		tmp = t_1;
	} else if (y0 <= 7.1e-22) {
		tmp = i * (k * (y1 * -z));
	} else if (y0 <= 9.6e+101) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= 5.3e+200) {
		tmp = t_1;
	} else {
		tmp = b * (k * (z * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y * (a * b))
	tmp = 0
	if y0 <= -1e+62:
		tmp = b * (j * -(x * y0))
	elif y0 <= 8.2e-192:
		tmp = t_1
	elif y0 <= 7.1e-22:
		tmp = i * (k * (y1 * -z))
	elif y0 <= 9.6e+101:
		tmp = c * (x * (y0 * y2))
	elif y0 <= 5.3e+200:
		tmp = t_1
	else:
		tmp = b * (k * (z * y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(y * Float64(a * b)))
	tmp = 0.0
	if (y0 <= -1e+62)
		tmp = Float64(b * Float64(j * Float64(-Float64(x * y0))));
	elseif (y0 <= 8.2e-192)
		tmp = t_1;
	elseif (y0 <= 7.1e-22)
		tmp = Float64(i * Float64(k * Float64(y1 * Float64(-z))));
	elseif (y0 <= 9.6e+101)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y0 <= 5.3e+200)
		tmp = t_1;
	else
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (y * (a * b));
	tmp = 0.0;
	if (y0 <= -1e+62)
		tmp = b * (j * -(x * y0));
	elseif (y0 <= 8.2e-192)
		tmp = t_1;
	elseif (y0 <= 7.1e-22)
		tmp = i * (k * (y1 * -z));
	elseif (y0 <= 9.6e+101)
		tmp = c * (x * (y0 * y2));
	elseif (y0 <= 5.3e+200)
		tmp = t_1;
	else
		tmp = b * (k * (z * y0));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1e+62], N[(b * N[(j * (-N[(x * y0), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 8.2e-192], t$95$1, If[LessEqual[y0, 7.1e-22], N[(i * N[(k * N[(y1 * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 9.6e+101], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 5.3e+200], t$95$1, N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y0 < -1.00000000000000004e62

   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 b around inf 36.3%

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

   3. Taylor expanded in y0 around inf 47.3%

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

      1. *-commutative 47.3%

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

      2. *-commutative 47.3%

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

   5. Simplified 47.3%

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

   6. Taylor expanded in z around 0 45.6%

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

      1. mul-1-neg 45.6%

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

      2. *-commutative 45.6%

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

      3. distribute-rgt-neg-in 45.6%

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

   8. Simplified 45.6%

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

   if -1.00000000000000004e62 < y0 < 8.19999999999999947e-192 or 9.59999999999999953e101 < y0 < 5.29999999999999994e200

   1. Initial program 36.3%

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

   2. Taylor expanded in y around inf 44.1%

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

   3. Taylor expanded in x around inf 38.1%

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

   4. Taylor expanded in a around inf 28.9%

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

   if 8.19999999999999947e-192 < y0 < 7.0999999999999999e-22

   1. Initial program 31.8%

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

   2. Taylor expanded in i around -inf 49.5%

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

   3. Taylor expanded in k around -inf 40.0%

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

      1. associate-*r* 40.0%

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

      2. neg-mul-1 40.0%

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

      3. *-commutative 40.0%

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

   5. Simplified 40.0%

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

   6. Taylor expanded in y around 0 30.7%

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

   if 7.0999999999999999e-22 < y0 < 9.59999999999999953e101

   1. Initial program 27.2%

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

   2. Taylor expanded in x around inf 54.0%

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

   3. Taylor expanded in y2 around inf 43.6%

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

   4. Taylor expanded in c around inf 36.1%

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

   if 5.29999999999999994e200 < y0

   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 b around inf 32.5%

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

   3. Taylor expanded in y0 around inf 44.9%

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

      1. *-commutative 44.9%

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

      2. *-commutative 44.9%

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

   5. Simplified 44.9%

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

   6. Taylor expanded in z around inf 36.7%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 34.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1 \cdot 10^{+62}:\\ \;\;\;\;b \cdot \left(j \cdot \left(-x \cdot y0\right)\right)\\ \mathbf{elif}\;y0 \leq 8.2 \cdot 10^{-192}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y0 \leq 7.1 \cdot 10^{-22}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y1 \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y0 \leq 9.6 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 5.3 \cdot 10^{+200}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \end{array} \]

Alternative 26: 19.5% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{if}\;c \leq -5.2 \cdot 10^{+183}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;c \leq -1.2 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{-280}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 47000000000000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (* x a)))))
   (if (<= c -5.2e+183)
     (* c (* (* z t) i))
     (if (<= c -1.2e+21)
       t_1
       (if (<= c 1.15e-280)
         (* b (* y0 (* z k)))
         (if (<= c 47000000000000.0) t_1 (* c (* x (* y0 y2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * (x * a));
	double tmp;
	if (c <= -5.2e+183) {
		tmp = c * ((z * t) * i);
	} else if (c <= -1.2e+21) {
		tmp = t_1;
	} else if (c <= 1.15e-280) {
		tmp = b * (y0 * (z * k));
	} else if (c <= 47000000000000.0) {
		tmp = t_1;
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y * (x * a))
    if (c <= (-5.2d+183)) then
        tmp = c * ((z * t) * i)
    else if (c <= (-1.2d+21)) then
        tmp = t_1
    else if (c <= 1.15d-280) then
        tmp = b * (y0 * (z * k))
    else if (c <= 47000000000000.0d0) then
        tmp = t_1
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * (x * a));
	double tmp;
	if (c <= -5.2e+183) {
		tmp = c * ((z * t) * i);
	} else if (c <= -1.2e+21) {
		tmp = t_1;
	} else if (c <= 1.15e-280) {
		tmp = b * (y0 * (z * k));
	} else if (c <= 47000000000000.0) {
		tmp = t_1;
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * (x * a))
	tmp = 0
	if c <= -5.2e+183:
		tmp = c * ((z * t) * i)
	elif c <= -1.2e+21:
		tmp = t_1
	elif c <= 1.15e-280:
		tmp = b * (y0 * (z * k))
	elif c <= 47000000000000.0:
		tmp = t_1
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(x * a)))
	tmp = 0.0
	if (c <= -5.2e+183)
		tmp = Float64(c * Float64(Float64(z * t) * i));
	elseif (c <= -1.2e+21)
		tmp = t_1;
	elseif (c <= 1.15e-280)
		tmp = Float64(b * Float64(y0 * Float64(z * k)));
	elseif (c <= 47000000000000.0)
		tmp = t_1;
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * (x * a));
	tmp = 0.0;
	if (c <= -5.2e+183)
		tmp = c * ((z * t) * i);
	elseif (c <= -1.2e+21)
		tmp = t_1;
	elseif (c <= 1.15e-280)
		tmp = b * (y0 * (z * k));
	elseif (c <= 47000000000000.0)
		tmp = t_1;
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -5.2e+183], N[(c * N[(N[(z * t), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.2e+21], t$95$1, If[LessEqual[c, 1.15e-280], N[(b * N[(y0 * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 47000000000000.0], t$95$1, N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if c < -5.1999999999999999e183

   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 c around inf 65.5%

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

   3. Taylor expanded in i around inf 45.5%

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

      1. mul-1-neg 45.5%

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

      2. *-commutative 45.5%

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

      3. distribute-rgt-neg-out 45.5%

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

      4. *-commutative 45.5%

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

   5. Simplified 45.5%

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

   6. Taylor expanded in x around 0 32.2%

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

      1. *-commutative 32.2%

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

   8. Simplified 32.2%

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

   if -5.1999999999999999e183 < c < -1.2e21 or 1.15e-280 < c < 4.7e13

   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 y around inf 41.4%

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

   3. Taylor expanded in x around inf 36.2%

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

   4. Taylor expanded in a around inf 26.3%

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

      1. pow1 26.3%

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

      2. *-commutative 26.3%

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

      3. associate-*l* 29.4%

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

      4. *-commutative 29.4%

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

   6. Applied egg-rr 29.4%

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

      1. unpow1 29.4%

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

      2. associate-*l* 32.7%

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

   8. Simplified 32.7%

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

   if -1.2e21 < c < 1.15e-280

   1. Initial program 37.0%

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

   2. Taylor expanded in b around inf 37.1%

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

   3. Taylor expanded in y0 around inf 38.8%

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

      1. *-commutative 38.8%

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

      2. *-commutative 38.8%

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

   5. Simplified 38.8%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 26.7%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 26.7%

         \[\leadsto b \cdot \color{blue}{\left(\left(y0 \cdot z\right) \cdot k\right)} \]

      2. associate-*r* 28.0%

         \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k\right)\right)} \]

      3. *-commutative 28.0%

         \[\leadsto b \cdot \left(y0 \cdot \color{blue}{\left(k \cdot z\right)}\right) \]

   8. Simplified 28.0%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z\right)\right)} \]

   if 4.7e13 < c

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 42.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 41.2%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 34.6%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 31.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -5.2 \cdot 10^{+183}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;c \leq -1.2 \cdot 10^{+21}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{-280}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 47000000000000:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 27: 21.2% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ t_2 := y2 \cdot \left(x \cdot \left(c \cdot y0\right)\right)\\ \mathbf{if}\;b \leq -4.2 \cdot 10^{-122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{+18}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (* a b)))) (t_2 (* y2 (* x (* c y0)))))
   (if (<= b -4.2e-122)
     t_1
     (if (<= b 1.05e-23)
       t_2
       (if (<= b 1.7e+18) (* c (* (* z t) i)) (if (<= b 1.4e+85) 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 * (y * (a * b));
	double t_2 = y2 * (x * (c * y0));
	double tmp;
	if (b <= -4.2e-122) {
		tmp = t_1;
	} else if (b <= 1.05e-23) {
		tmp = t_2;
	} else if (b <= 1.7e+18) {
		tmp = c * ((z * t) * i);
	} else if (b <= 1.4e+85) {
		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 * (y * (a * b))
    t_2 = y2 * (x * (c * y0))
    if (b <= (-4.2d-122)) then
        tmp = t_1
    else if (b <= 1.05d-23) then
        tmp = t_2
    else if (b <= 1.7d+18) then
        tmp = c * ((z * t) * i)
    else if (b <= 1.4d+85) 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 * (y * (a * b));
	double t_2 = y2 * (x * (c * y0));
	double tmp;
	if (b <= -4.2e-122) {
		tmp = t_1;
	} else if (b <= 1.05e-23) {
		tmp = t_2;
	} else if (b <= 1.7e+18) {
		tmp = c * ((z * t) * i);
	} else if (b <= 1.4e+85) {
		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 * (y * (a * b))
	t_2 = y2 * (x * (c * y0))
	tmp = 0
	if b <= -4.2e-122:
		tmp = t_1
	elif b <= 1.05e-23:
		tmp = t_2
	elif b <= 1.7e+18:
		tmp = c * ((z * t) * i)
	elif b <= 1.4e+85:
		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(y * Float64(a * b)))
	t_2 = Float64(y2 * Float64(x * Float64(c * y0)))
	tmp = 0.0
	if (b <= -4.2e-122)
		tmp = t_1;
	elseif (b <= 1.05e-23)
		tmp = t_2;
	elseif (b <= 1.7e+18)
		tmp = Float64(c * Float64(Float64(z * t) * i));
	elseif (b <= 1.4e+85)
		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 * (y * (a * b));
	t_2 = y2 * (x * (c * y0));
	tmp = 0.0;
	if (b <= -4.2e-122)
		tmp = t_1;
	elseif (b <= 1.05e-23)
		tmp = t_2;
	elseif (b <= 1.7e+18)
		tmp = c * ((z * t) * i);
	elseif (b <= 1.4e+85)
		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[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(x * N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -4.2e-122], t$95$1, If[LessEqual[b, 1.05e-23], t$95$2, If[LessEqual[b, 1.7e+18], N[(c * N[(N[(z * t), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.4e+85], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if b < -4.19999999999999985e-122 or 1.4e85 < b

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 42.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 39.3%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 35.6%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(a \cdot b\right)}\right) \]

   if -4.19999999999999985e-122 < b < 1.05e-23 or 1.7e18 < b < 1.4e85

   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 x around inf 46.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 33.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 23.3%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 23.3%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

      2. associate-*r* 25.1%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y2 \cdot y0\right)} \]

      3. *-commutative 25.1%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y2 \cdot y0\right) \]

      4. associate-*l* 24.2%

         \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y2 \cdot y0\right)\right)} \]

      5. *-commutative 24.2%

         \[\leadsto x \cdot \color{blue}{\left(\left(y2 \cdot y0\right) \cdot c\right)} \]

      6. associate-*r* 25.1%

         \[\leadsto x \cdot \color{blue}{\left(y2 \cdot \left(y0 \cdot c\right)\right)} \]

      7. associate-*r* 25.9%

         \[\leadsto \color{blue}{\left(x \cdot y2\right) \cdot \left(y0 \cdot c\right)} \]

      8. *-commutative 25.9%

         \[\leadsto \color{blue}{\left(y2 \cdot x\right)} \cdot \left(y0 \cdot c\right) \]

      9. associate-*l* 28.6%

         \[\leadsto \color{blue}{y2 \cdot \left(x \cdot \left(y0 \cdot c\right)\right)} \]

   6. Simplified 28.6%

      \[\leadsto \color{blue}{y2 \cdot \left(x \cdot \left(y0 \cdot c\right)\right)} \]

   if 1.05e-23 < b < 1.7e18

   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 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. Taylor expanded in i around inf 46.5%

      \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 46.5%

         \[\leadsto c \cdot \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

      2. *-commutative 46.5%

         \[\leadsto c \cdot \left(-\color{blue}{\left(x \cdot y - t \cdot z\right) \cdot i}\right) \]

      3. distribute-rgt-neg-out 46.5%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y - t \cdot z\right) \cdot \left(-i\right)\right)} \]

      4. *-commutative 46.5%

         \[\leadsto c \cdot \left(\left(x \cdot y - \color{blue}{z \cdot t}\right) \cdot \left(-i\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y - z \cdot t\right) \cdot \left(-i\right)\right)} \]

   6. Taylor expanded in x around 0 46.3%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 46.3%

         \[\leadsto c \cdot \left(i \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   8. Simplified 46.3%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(z \cdot t\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 33.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -4.2 \cdot 10^{-122}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{-23}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{+18}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{+85}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \end{array} \]

Alternative 28: 21.5% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -4.4 \cdot 10^{+61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(-x \cdot y0\right)\right)\\ \mathbf{elif}\;y0 \leq 0.23:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y0 \leq 1.25 \cdot 10^{+102}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.7 \cdot 10^{+168}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y0 -4.4e+61)
   (* b (* j (- (* x y0))))
   (if (<= y0 0.23)
     (* x (* y (* a b)))
     (if (<= y0 1.25e+102)
       (* c (* x (* y0 y2)))
       (if (<= y0 2.7e+168) (* a (* y (* x b))) (* b (* k (* z y0))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -4.4e+61) {
		tmp = b * (j * -(x * y0));
	} else if (y0 <= 0.23) {
		tmp = x * (y * (a * b));
	} else if (y0 <= 1.25e+102) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= 2.7e+168) {
		tmp = a * (y * (x * b));
	} else {
		tmp = b * (k * (z * y0));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y0 <= (-4.4d+61)) then
        tmp = b * (j * -(x * y0))
    else if (y0 <= 0.23d0) then
        tmp = x * (y * (a * b))
    else if (y0 <= 1.25d+102) then
        tmp = c * (x * (y0 * y2))
    else if (y0 <= 2.7d+168) then
        tmp = a * (y * (x * b))
    else
        tmp = b * (k * (z * y0))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -4.4e+61) {
		tmp = b * (j * -(x * y0));
	} else if (y0 <= 0.23) {
		tmp = x * (y * (a * b));
	} else if (y0 <= 1.25e+102) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= 2.7e+168) {
		tmp = a * (y * (x * b));
	} else {
		tmp = b * (k * (z * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y0 <= -4.4e+61:
		tmp = b * (j * -(x * y0))
	elif y0 <= 0.23:
		tmp = x * (y * (a * b))
	elif y0 <= 1.25e+102:
		tmp = c * (x * (y0 * y2))
	elif y0 <= 2.7e+168:
		tmp = a * (y * (x * b))
	else:
		tmp = b * (k * (z * y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y0 <= -4.4e+61)
		tmp = Float64(b * Float64(j * Float64(-Float64(x * y0))));
	elseif (y0 <= 0.23)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y0 <= 1.25e+102)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y0 <= 2.7e+168)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	else
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y0 <= -4.4e+61)
		tmp = b * (j * -(x * y0));
	elseif (y0 <= 0.23)
		tmp = x * (y * (a * b));
	elseif (y0 <= 1.25e+102)
		tmp = c * (x * (y0 * y2));
	elseif (y0 <= 2.7e+168)
		tmp = a * (y * (x * b));
	else
		tmp = b * (k * (z * y0));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y0, -4.4e+61], N[(b * N[(j * (-N[(x * y0), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 0.23], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.25e+102], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2.7e+168], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y0 < -4.4000000000000001e61

   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 b around inf 36.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.3%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 47.3%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 47.3%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 47.3%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around 0 45.6%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 45.6%

         \[\leadsto b \cdot \color{blue}{\left(-j \cdot \left(x \cdot y0\right)\right)} \]

      2. *-commutative 45.6%

         \[\leadsto b \cdot \left(-\color{blue}{\left(x \cdot y0\right) \cdot j}\right) \]

      3. distribute-rgt-neg-in 45.6%

         \[\leadsto b \cdot \color{blue}{\left(\left(x \cdot y0\right) \cdot \left(-j\right)\right)} \]

   8. Simplified 45.6%

      \[\leadsto b \cdot \color{blue}{\left(\left(x \cdot y0\right) \cdot \left(-j\right)\right)} \]

   if -4.4000000000000001e61 < y0 < 0.23000000000000001

   1. Initial program 34.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 45.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 35.5%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 24.7%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(a \cdot b\right)}\right) \]

   if 0.23000000000000001 < y0 < 1.25e102

   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 x around inf 54.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 42.2%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 42.3%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if 1.25e102 < y0 < 2.70000000000000016e168

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 41.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 43.0%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 27.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. pow1 27.3%

         \[\leadsto a \cdot \color{blue}{{\left(b \cdot \left(x \cdot y\right)\right)}^{1}} \]

      2. associate-*r* 35.1%

         \[\leadsto a \cdot {\color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}}^{1} \]

      3. *-commutative 35.1%

         \[\leadsto a \cdot {\color{blue}{\left(y \cdot \left(b \cdot x\right)\right)}}^{1} \]

   6. Applied egg-rr 35.1%

      \[\leadsto a \cdot \color{blue}{{\left(y \cdot \left(b \cdot x\right)\right)}^{1}} \]
   7. Step-by-step derivation

      1. unpow1 35.1%

         \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(b \cdot x\right)\right)} \]

   8. Simplified 35.1%

      \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(b \cdot x\right)\right)} \]

   if 2.70000000000000016e168 < y0

   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 b around inf 37.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 47.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 47.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 47.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 40.6%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 33.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -4.4 \cdot 10^{+61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(-x \cdot y0\right)\right)\\ \mathbf{elif}\;y0 \leq 0.23:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y0 \leq 1.25 \cdot 10^{+102}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.7 \cdot 10^{+168}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \end{array} \]

Alternative 29: 28.0% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -1.22 \cdot 10^{+104}:\\ \;\;\;\;x \cdot \left(y \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;c \leq 7.8 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{+14}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -1.22e+104)
   (* x (* y (* c (- i))))
   (if (<= c 7.8e-281)
     (* b (* y0 (- (* z k) (* x j))))
     (if (<= c 3.8e+14)
       (* b (* a (- (* x y) (* z t))))
       (* x (* y2 (* c y0)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -1.22e+104) {
		tmp = x * (y * (c * -i));
	} else if (c <= 7.8e-281) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 3.8e+14) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = x * (y2 * (c * y0));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-1.22d+104)) then
        tmp = x * (y * (c * -i))
    else if (c <= 7.8d-281) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (c <= 3.8d+14) then
        tmp = b * (a * ((x * y) - (z * t)))
    else
        tmp = x * (y2 * (c * y0))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -1.22e+104) {
		tmp = x * (y * (c * -i));
	} else if (c <= 7.8e-281) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 3.8e+14) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = x * (y2 * (c * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -1.22e+104:
		tmp = x * (y * (c * -i))
	elif c <= 7.8e-281:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif c <= 3.8e+14:
		tmp = b * (a * ((x * y) - (z * t)))
	else:
		tmp = x * (y2 * (c * y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -1.22e+104)
		tmp = Float64(x * Float64(y * Float64(c * Float64(-i))));
	elseif (c <= 7.8e-281)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (c <= 3.8e+14)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	else
		tmp = Float64(x * Float64(y2 * Float64(c * y0)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -1.22e+104)
		tmp = x * (y * (c * -i));
	elseif (c <= 7.8e-281)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (c <= 3.8e+14)
		tmp = b * (a * ((x * y) - (z * t)));
	else
		tmp = x * (y2 * (c * y0));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -1.22e+104], N[(x * N[(y * N[(c * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 7.8e-281], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.8e+14], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(y2 * N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if c < -1.22e104

   1. Initial program 25.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 36.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 49.4%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around 0 39.4%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(c \cdot i\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.4%

         \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(-c \cdot i\right)}\right) \]

      2. *-commutative 39.4%

         \[\leadsto x \cdot \left(y \cdot \left(-\color{blue}{i \cdot c}\right)\right) \]

      3. distribute-rgt-neg-in 39.4%

         \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(i \cdot \left(-c\right)\right)}\right) \]

   6. Simplified 39.4%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(i \cdot \left(-c\right)\right)}\right) \]

   if -1.22e104 < c < 7.8000000000000005e-281

   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 b around inf 34.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 39.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 39.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 39.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   if 7.8000000000000005e-281 < c < 3.8e14

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 42.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 39.9%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 39.9%

         \[\leadsto b \cdot \color{blue}{\left(\left(x \cdot y - t \cdot z\right) \cdot a\right)} \]

      2. *-commutative 39.9%

         \[\leadsto b \cdot \left(\left(x \cdot y - \color{blue}{z \cdot t}\right) \cdot a\right) \]

   5. Simplified 39.9%

      \[\leadsto b \cdot \color{blue}{\left(\left(x \cdot y - z \cdot t\right) \cdot a\right)} \]

   if 3.8e14 < c

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 42.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 41.2%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 39.5%

      \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(c \cdot y0\right)}\right) \]
   5. Step-by-step derivation

      1. *-commutative 39.5%

         \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(y0 \cdot c\right)}\right) \]

   6. Simplified 39.5%

      \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(y0 \cdot c\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 39.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.22 \cdot 10^{+104}:\\ \;\;\;\;x \cdot \left(y \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;c \leq 7.8 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{+14}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \end{array} \]

Alternative 30: 29.5% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -1.06 \cdot 10^{+101}:\\ \;\;\;\;x \cdot \left(y \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.25 \cdot 10^{-279}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 8.6 \cdot 10^{+14}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -1.06e+101)
   (* x (* y (* c (- i))))
   (if (<= c 2.25e-279)
     (* b (* y0 (- (* z k) (* x j))))
     (if (<= c 8.6e+14)
       (* b (* a (- (* x y) (* z t))))
       (* c (* y0 (- (* x y2) (* z y3))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -1.06e+101) {
		tmp = x * (y * (c * -i));
	} else if (c <= 2.25e-279) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 8.6e+14) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-1.06d+101)) then
        tmp = x * (y * (c * -i))
    else if (c <= 2.25d-279) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (c <= 8.6d+14) then
        tmp = b * (a * ((x * y) - (z * t)))
    else
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -1.06e+101) {
		tmp = x * (y * (c * -i));
	} else if (c <= 2.25e-279) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 8.6e+14) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -1.06e+101:
		tmp = x * (y * (c * -i))
	elif c <= 2.25e-279:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif c <= 8.6e+14:
		tmp = b * (a * ((x * y) - (z * t)))
	else:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -1.06e+101)
		tmp = Float64(x * Float64(y * Float64(c * Float64(-i))));
	elseif (c <= 2.25e-279)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (c <= 8.6e+14)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	else
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -1.06e+101)
		tmp = x * (y * (c * -i));
	elseif (c <= 2.25e-279)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (c <= 8.6e+14)
		tmp = b * (a * ((x * y) - (z * t)));
	else
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -1.06e+101], N[(x * N[(y * N[(c * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.25e-279], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 8.6e+14], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if c < -1.06e101

   1. Initial program 25.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 36.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 49.4%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around 0 39.4%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(c \cdot i\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.4%

         \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(-c \cdot i\right)}\right) \]

      2. *-commutative 39.4%

         \[\leadsto x \cdot \left(y \cdot \left(-\color{blue}{i \cdot c}\right)\right) \]

      3. distribute-rgt-neg-in 39.4%

         \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(i \cdot \left(-c\right)\right)}\right) \]

   6. Simplified 39.4%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(i \cdot \left(-c\right)\right)}\right) \]

   if -1.06e101 < c < 2.24999999999999998e-279

   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 b around inf 34.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 39.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 39.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 39.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   if 2.24999999999999998e-279 < c < 8.6e14

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 42.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 39.9%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 39.9%

         \[\leadsto b \cdot \color{blue}{\left(\left(x \cdot y - t \cdot z\right) \cdot a\right)} \]

      2. *-commutative 39.9%

         \[\leadsto b \cdot \left(\left(x \cdot y - \color{blue}{z \cdot t}\right) \cdot a\right) \]

   5. Simplified 39.9%

      \[\leadsto b \cdot \color{blue}{\left(\left(x \cdot y - z \cdot t\right) \cdot a\right)} \]

   if 8.6e14 < c

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 68.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y0 around inf 51.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 42.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.06 \cdot 10^{+101}:\\ \;\;\;\;x \cdot \left(y \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.25 \cdot 10^{-279}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 8.6 \cdot 10^{+14}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]

Alternative 31: 21.5% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -1.1 \cdot 10^{+221}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -7.7 \cdot 10^{-25}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= b -1.1e+221)
   (* b (* y0 (* z k)))
   (if (<= b -7.7e-25)
     (* b (* y (* x a)))
     (if (<= b 1.3e+36) (* c (* x (* y0 y2))) (* x (* a (* 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 (b <= -1.1e+221) {
		tmp = b * (y0 * (z * k));
	} else if (b <= -7.7e-25) {
		tmp = b * (y * (x * a));
	} else if (b <= 1.3e+36) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = x * (a * (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 (b <= (-1.1d+221)) then
        tmp = b * (y0 * (z * k))
    else if (b <= (-7.7d-25)) then
        tmp = b * (y * (x * a))
    else if (b <= 1.3d+36) then
        tmp = c * (x * (y0 * y2))
    else
        tmp = x * (a * (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 (b <= -1.1e+221) {
		tmp = b * (y0 * (z * k));
	} else if (b <= -7.7e-25) {
		tmp = b * (y * (x * a));
	} else if (b <= 1.3e+36) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = x * (a * (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 b <= -1.1e+221:
		tmp = b * (y0 * (z * k))
	elif b <= -7.7e-25:
		tmp = b * (y * (x * a))
	elif b <= 1.3e+36:
		tmp = c * (x * (y0 * y2))
	else:
		tmp = x * (a * (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 (b <= -1.1e+221)
		tmp = Float64(b * Float64(y0 * Float64(z * k)));
	elseif (b <= -7.7e-25)
		tmp = Float64(b * Float64(y * Float64(x * a)));
	elseif (b <= 1.3e+36)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (b <= -1.1e+221)
		tmp = b * (y0 * (z * k));
	elseif (b <= -7.7e-25)
		tmp = b * (y * (x * a));
	elseif (b <= 1.3e+36)
		tmp = c * (x * (y0 * y2));
	else
		tmp = x * (a * (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[b, -1.1e+221], N[(b * N[(y0 * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.7e-25], N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.3e+36], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if b < -1.1e221

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. 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 50.9%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.9%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 50.9%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 50.9%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 46.3%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 46.3%

         \[\leadsto b \cdot \color{blue}{\left(\left(y0 \cdot z\right) \cdot k\right)} \]

      2. associate-*r* 46.7%

         \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k\right)\right)} \]

      3. *-commutative 46.7%

         \[\leadsto b \cdot \left(y0 \cdot \color{blue}{\left(k \cdot z\right)}\right) \]

   8. Simplified 46.7%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z\right)\right)} \]

   if -1.1e221 < b < -7.7000000000000002e-25

   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 y around inf 53.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 45.7%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 33.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. pow1 33.0%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. *-commutative 33.0%

         \[\leadsto {\color{blue}{\left(\left(b \cdot \left(x \cdot y\right)\right) \cdot a\right)}}^{1} \]

      3. associate-*l* 33.0%

         \[\leadsto {\color{blue}{\left(b \cdot \left(\left(x \cdot y\right) \cdot a\right)\right)}}^{1} \]

      4. *-commutative 33.0%

         \[\leadsto {\left(b \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot a\right)\right)}^{1} \]

   6. Applied egg-rr 33.0%

      \[\leadsto \color{blue}{{\left(b \cdot \left(\left(y \cdot x\right) \cdot a\right)\right)}^{1}} \]
   7. Step-by-step derivation

      1. unpow1 33.0%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

      2. associate-*l* 35.1%

         \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(x \cdot a\right)\right)} \]

   8. Simplified 35.1%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(x \cdot a\right)\right)} \]

   if -7.7000000000000002e-25 < b < 1.3000000000000001e36

   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 41.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 34.0%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 24.8%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if 1.3000000000000001e36 < b

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 39.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 37.9%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 33.2%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 30.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.1 \cdot 10^{+221}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -7.7 \cdot 10^{-25}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]

Alternative 32: 25.5% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -7 \cdot 10^{+98}:\\ \;\;\;\;x \cdot \left(y \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{+14}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -7e+98)
   (* x (* y (* c (- i))))
   (if (<= c 1.8e-278)
     (* b (* y0 (- (* z k) (* x j))))
     (if (<= c 3.4e+14) (* x (* y (* a b))) (* x (* y2 (* c y0)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -7e+98) {
		tmp = x * (y * (c * -i));
	} else if (c <= 1.8e-278) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 3.4e+14) {
		tmp = x * (y * (a * b));
	} else {
		tmp = x * (y2 * (c * y0));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-7d+98)) then
        tmp = x * (y * (c * -i))
    else if (c <= 1.8d-278) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (c <= 3.4d+14) then
        tmp = x * (y * (a * b))
    else
        tmp = x * (y2 * (c * y0))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -7e+98) {
		tmp = x * (y * (c * -i));
	} else if (c <= 1.8e-278) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (c <= 3.4e+14) {
		tmp = x * (y * (a * b));
	} else {
		tmp = x * (y2 * (c * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -7e+98:
		tmp = x * (y * (c * -i))
	elif c <= 1.8e-278:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif c <= 3.4e+14:
		tmp = x * (y * (a * b))
	else:
		tmp = x * (y2 * (c * y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -7e+98)
		tmp = Float64(x * Float64(y * Float64(c * Float64(-i))));
	elseif (c <= 1.8e-278)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (c <= 3.4e+14)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	else
		tmp = Float64(x * Float64(y2 * Float64(c * y0)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -7e+98)
		tmp = x * (y * (c * -i));
	elseif (c <= 1.8e-278)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (c <= 3.4e+14)
		tmp = x * (y * (a * b));
	else
		tmp = x * (y2 * (c * y0));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -7e+98], N[(x * N[(y * N[(c * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.8e-278], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.4e+14], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(y2 * N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if c < -7e98

   1. Initial program 25.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 36.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 49.4%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around 0 39.4%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(c \cdot i\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.4%

         \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(-c \cdot i\right)}\right) \]

      2. *-commutative 39.4%

         \[\leadsto x \cdot \left(y \cdot \left(-\color{blue}{i \cdot c}\right)\right) \]

      3. distribute-rgt-neg-in 39.4%

         \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(i \cdot \left(-c\right)\right)}\right) \]

   6. Simplified 39.4%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(i \cdot \left(-c\right)\right)}\right) \]

   if -7e98 < c < 1.79999999999999998e-278

   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 b around inf 34.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 39.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 39.4%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 39.4%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   if 1.79999999999999998e-278 < c < 3.4e14

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 43.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 35.4%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 36.5%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(a \cdot b\right)}\right) \]

   if 3.4e14 < c

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 42.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 41.2%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 39.5%

      \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(c \cdot y0\right)}\right) \]
   5. Step-by-step derivation

      1. *-commutative 39.5%

         \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(y0 \cdot c\right)}\right) \]

   6. Simplified 39.5%

      \[\leadsto x \cdot \left(y2 \cdot \color{blue}{\left(y0 \cdot c\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 38.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -7 \cdot 10^{+98}:\\ \;\;\;\;x \cdot \left(y \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{+14}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \end{array} \]

Alternative 33: 23.2% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -1.12 \cdot 10^{+14} \lor \neg \left(z \leq 2.7\right):\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= z -1.12e+14) (not (<= z 2.7)))
   (* b (* k (* z y0)))
   (* 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 ((z <= -1.12e+14) || !(z <= 2.7)) {
		tmp = b * (k * (z * y0));
	} 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 ((z <= (-1.12d+14)) .or. (.not. (z <= 2.7d0))) then
        tmp = b * (k * (z * y0))
    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 ((z <= -1.12e+14) || !(z <= 2.7)) {
		tmp = b * (k * (z * y0));
	} 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 (z <= -1.12e+14) or not (z <= 2.7):
		tmp = b * (k * (z * y0))
	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 ((z <= -1.12e+14) || !(z <= 2.7))
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	else
		tmp = Float64(b * Float64(Float64(x * 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 ((z <= -1.12e+14) || ~((z <= 2.7)))
		tmp = b * (k * (z * y0));
	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[Or[LessEqual[z, -1.12e+14], N[Not[LessEqual[z, 2.7]], $MachinePrecision]], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if z < -1.12e14 or 2.7000000000000002 < z

   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 b around inf 38.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 44.7%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 44.7%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 44.7%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 37.7%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -1.12e14 < z < 2.7000000000000002

   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 y around inf 39.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 29.1%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 17.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. pow1 17.0%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. *-commutative 17.0%

         \[\leadsto {\color{blue}{\left(\left(b \cdot \left(x \cdot y\right)\right) \cdot a\right)}}^{1} \]

      3. associate-*l* 19.0%

         \[\leadsto {\color{blue}{\left(b \cdot \left(\left(x \cdot y\right) \cdot a\right)\right)}}^{1} \]

      4. *-commutative 19.0%

         \[\leadsto {\left(b \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot a\right)\right)}^{1} \]

   6. Applied egg-rr 19.0%

      \[\leadsto \color{blue}{{\left(b \cdot \left(\left(y \cdot x\right) \cdot a\right)\right)}^{1}} \]
   7. Step-by-step derivation

      1. unpow1 19.0%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

      2. *-commutative 19.0%

         \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(y \cdot x\right)\right)} \]

   8. Simplified 19.0%

      \[\leadsto \color{blue}{b \cdot \left(a \cdot \left(y \cdot x\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.12 \cdot 10^{+14} \lor \neg \left(z \leq 2.7\right):\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \]

Alternative 34: 22.4% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -1.3 \cdot 10^{+150} \lor \neg \left(z \leq 3.1\right):\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= z -1.3e+150) (not (<= z 3.1)))
   (* b (* k (* z y0)))
   (* b (* y (* x a)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((z <= -1.3e+150) || !(z <= 3.1)) {
		tmp = b * (k * (z * y0));
	} else {
		tmp = b * (y * (x * a));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((z <= (-1.3d+150)) .or. (.not. (z <= 3.1d0))) then
        tmp = b * (k * (z * y0))
    else
        tmp = b * (y * (x * a))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((z <= -1.3e+150) || !(z <= 3.1)) {
		tmp = b * (k * (z * y0));
	} else {
		tmp = b * (y * (x * a));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (z <= -1.3e+150) or not (z <= 3.1):
		tmp = b * (k * (z * y0))
	else:
		tmp = b * (y * (x * a))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((z <= -1.3e+150) || !(z <= 3.1))
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	else
		tmp = Float64(b * Float64(y * Float64(x * a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((z <= -1.3e+150) || ~((z <= 3.1)))
		tmp = b * (k * (z * y0));
	else
		tmp = b * (y * (x * a));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[z, -1.3e+150], N[Not[LessEqual[z, 3.1]], $MachinePrecision]], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if z < -1.30000000000000003e150 or 3.10000000000000009 < z

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 34.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.3%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 47.3%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 47.3%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 47.3%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 41.3%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -1.30000000000000003e150 < z < 3.10000000000000009

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 30.7%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 18.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. pow1 18.2%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. *-commutative 18.2%

         \[\leadsto {\color{blue}{\left(\left(b \cdot \left(x \cdot y\right)\right) \cdot a\right)}}^{1} \]

      3. associate-*l* 19.9%

         \[\leadsto {\color{blue}{\left(b \cdot \left(\left(x \cdot y\right) \cdot a\right)\right)}}^{1} \]

      4. *-commutative 19.9%

         \[\leadsto {\left(b \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot a\right)\right)}^{1} \]

   6. Applied egg-rr 19.9%

      \[\leadsto \color{blue}{{\left(b \cdot \left(\left(y \cdot x\right) \cdot a\right)\right)}^{1}} \]
   7. Step-by-step derivation

      1. unpow1 19.9%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

      2. associate-*l* 22.3%

         \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(x \cdot a\right)\right)} \]

   8. Simplified 22.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(x \cdot a\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 29.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.3 \cdot 10^{+150} \lor \neg \left(z \leq 3.1\right):\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 35: 21.8% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -3.75 \cdot 10^{-25} \lor \neg \left(b \leq 1.85 \cdot 10^{+21}\right):\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= b -3.75e-25) (not (<= b 1.85e+21)))
   (* x (* y (* a b)))
   (* c (* x (* y0 y2)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((b <= -3.75e-25) || !(b <= 1.85e+21)) {
		tmp = x * (y * (a * b));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((b <= (-3.75d-25)) .or. (.not. (b <= 1.85d+21))) then
        tmp = x * (y * (a * b))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((b <= -3.75e-25) || !(b <= 1.85e+21)) {
		tmp = x * (y * (a * b));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (b <= -3.75e-25) or not (b <= 1.85e+21):
		tmp = x * (y * (a * b))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((b <= -3.75e-25) || !(b <= 1.85e+21))
		tmp = Float64(x * Float64(y * Float64(a * b)));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((b <= -3.75e-25) || ~((b <= 1.85e+21)))
		tmp = x * (y * (a * b));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[b, -3.75e-25], N[Not[LessEqual[b, 1.85e+21]], $MachinePrecision]], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if b < -3.74999999999999994e-25 or 1.85e21 < b

   1. Initial program 29.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 47.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 41.2%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 37.2%

      \[\leadsto x \cdot \left(y \cdot \color{blue}{\left(a \cdot b\right)}\right) \]

   if -3.74999999999999994e-25 < b < 1.85e21

   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 41.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y2 around inf 34.0%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   4. Taylor expanded in c around inf 24.8%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 31.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -3.75 \cdot 10^{-25} \lor \neg \left(b \leq 1.85 \cdot 10^{+21}\right):\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 36: 22.4% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -4.2 \cdot 10^{+151}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 4.2:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= z -4.2e+151)
   (* b (* k (* z y0)))
   (if (<= z 4.2) (* b (* y (* x a))) (* b (* y0 (* 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 (z <= -4.2e+151) {
		tmp = b * (k * (z * y0));
	} else if (z <= 4.2) {
		tmp = b * (y * (x * a));
	} else {
		tmp = b * (y0 * (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 (z <= (-4.2d+151)) then
        tmp = b * (k * (z * y0))
    else if (z <= 4.2d0) then
        tmp = b * (y * (x * a))
    else
        tmp = b * (y0 * (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 (z <= -4.2e+151) {
		tmp = b * (k * (z * y0));
	} else if (z <= 4.2) {
		tmp = b * (y * (x * a));
	} else {
		tmp = b * (y0 * (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 z <= -4.2e+151:
		tmp = b * (k * (z * y0))
	elif z <= 4.2:
		tmp = b * (y * (x * a))
	else:
		tmp = b * (y0 * (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 (z <= -4.2e+151)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (z <= 4.2)
		tmp = Float64(b * Float64(y * Float64(x * a)));
	else
		tmp = Float64(b * Float64(y0 * 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 (z <= -4.2e+151)
		tmp = b * (k * (z * y0));
	elseif (z <= 4.2)
		tmp = b * (y * (x * a));
	else
		tmp = b * (y0 * (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[z, -4.2e+151], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.2], N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y0 * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if z < -4.2000000000000001e151

   1. Initial program 23.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.2%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 47.2%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 47.2%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 47.2%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 50.3%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -4.2000000000000001e151 < z < 4.20000000000000018

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in x around inf 30.7%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   4. Taylor expanded in a around inf 18.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. pow1 18.2%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. *-commutative 18.2%

         \[\leadsto {\color{blue}{\left(\left(b \cdot \left(x \cdot y\right)\right) \cdot a\right)}}^{1} \]

      3. associate-*l* 19.9%

         \[\leadsto {\color{blue}{\left(b \cdot \left(\left(x \cdot y\right) \cdot a\right)\right)}}^{1} \]

      4. *-commutative 19.9%

         \[\leadsto {\left(b \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot a\right)\right)}^{1} \]

   6. Applied egg-rr 19.9%

      \[\leadsto \color{blue}{{\left(b \cdot \left(\left(y \cdot x\right) \cdot a\right)\right)}^{1}} \]
   7. Step-by-step derivation

      1. unpow1 19.9%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

      2. associate-*l* 22.3%

         \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(x \cdot a\right)\right)} \]

   8. Simplified 22.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(x \cdot a\right)\right)} \]

   if 4.20000000000000018 < z

   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 b around inf 34.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.3%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 47.3%

         \[\leadsto b \cdot \left(y0 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right) \]

      2. *-commutative 47.3%

         \[\leadsto b \cdot \left(y0 \cdot \left(z \cdot k - \color{blue}{x \cdot j}\right)\right) \]

   5. Simplified 47.3%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)} \]

   6. Taylor expanded in z around inf 37.1%

      \[\leadsto b \cdot \color{blue}{\left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 37.1%

         \[\leadsto b \cdot \color{blue}{\left(\left(y0 \cdot z\right) \cdot k\right)} \]

      2. associate-*r* 40.1%

         \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(z \cdot k\right)\right)} \]

      3. *-commutative 40.1%

         \[\leadsto b \cdot \left(y0 \cdot \color{blue}{\left(k \cdot z\right)}\right) \]

   8. Simplified 40.1%

      \[\leadsto b \cdot \color{blue}{\left(y0 \cdot \left(k \cdot z\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 30.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -4.2 \cdot 10^{+151}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 4.2:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k\right)\right)\\ \end{array} \]

Alternative 37: 16.3% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* (* x y) b)))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * ((x * y) * b)
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * ((x * y) * b)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(Float64(x * y) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * ((x * y) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 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 y around inf 40.5%

   \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

3. Taylor expanded in x around inf 31.9%

   \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

4. Taylor expanded in a around inf 18.6%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

5. Final simplification 18.6%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]

Alternative 38: 16.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(y \cdot \left(x \cdot b\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* y (* x b))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (y * (x * b));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * (y * (x * b))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (y * (x * b));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (y * (x * b))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(y * Float64(x * b)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (y * (x * b));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 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 y around inf 40.5%

   \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

3. Taylor expanded in x around inf 31.9%

   \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

4. Taylor expanded in a around inf 18.6%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. pow1 18.6%

      \[\leadsto a \cdot \color{blue}{{\left(b \cdot \left(x \cdot y\right)\right)}^{1}} \]

   2. associate-*r* 18.9%

      \[\leadsto a \cdot {\color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}}^{1} \]

   3. *-commutative 18.9%

      \[\leadsto a \cdot {\color{blue}{\left(y \cdot \left(b \cdot x\right)\right)}}^{1} \]

6. Applied egg-rr 18.9%

   \[\leadsto a \cdot \color{blue}{{\left(y \cdot \left(b \cdot x\right)\right)}^{1}} \]
7. Step-by-step derivation

   1. unpow1 18.9%

      \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(b \cdot x\right)\right)} \]

8. Simplified 18.9%

   \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(b \cdot x\right)\right)} \]

9. Final simplification 18.9%

   \[\leadsto a \cdot \left(y \cdot \left(x \cdot b\right)\right) \]

Alternative 39: 16.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ b \cdot \left(\left(x \cdot y\right) \cdot a\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* 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) {
	return b * ((x * y) * a);
}

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 = b * ((x * y) * a)
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 b * ((x * y) * a);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return b * ((x * y) * a)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(b * Float64(Float64(x * y) * a))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = b * ((x * y) * a);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision]

Derivation

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 y around inf 40.5%

   \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

3. Taylor expanded in x around inf 31.9%

   \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

4. Taylor expanded in a around inf 18.6%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. pow1 18.6%

      \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

   2. *-commutative 18.6%

      \[\leadsto {\color{blue}{\left(\left(b \cdot \left(x \cdot y\right)\right) \cdot a\right)}}^{1} \]

   3. associate-*l* 19.6%

      \[\leadsto {\color{blue}{\left(b \cdot \left(\left(x \cdot y\right) \cdot a\right)\right)}}^{1} \]

   4. *-commutative 19.6%

      \[\leadsto {\left(b \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot a\right)\right)}^{1} \]

6. Applied egg-rr 19.6%

   \[\leadsto \color{blue}{{\left(b \cdot \left(\left(y \cdot x\right) \cdot a\right)\right)}^{1}} \]
7. Step-by-step derivation

   1. unpow1 19.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   2. *-commutative 19.6%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(y \cdot x\right)\right)} \]

8. Simplified 19.6%

   \[\leadsto \color{blue}{b \cdot \left(a \cdot \left(y \cdot x\right)\right)} \]

9. Final simplification 19.6%

   \[\leadsto b \cdot \left(\left(x \cdot y\right) \cdot a\right) \]

Developer target: 28.0% accurate, 0.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023336 
(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)))))