Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.4% → 37.9%

Time: 2.3min

Alternatives: 42

Speedup: 4.1×

• 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: 30.4% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 37.9% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := a \cdot b - c \cdot i\\ t_3 := y1 \cdot y4 - y0 \cdot y5\\ t_4 := y2 \cdot \left(\left(k \cdot t_3 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{+232}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot t_2\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -2.8 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{-62}:\\ \;\;\;\;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}\;x \leq -2.2 \cdot 10^{-151}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{-274}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-245}:\\ \;\;\;\;j \cdot \left(t \cdot t_1\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-177}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-152}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 3400000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.22 \cdot 10^{+95}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot t_3 - y \cdot t_1\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+123}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \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 (- (* b y4) (* i y5)))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* y1 y4) (* y0 y5)))
        (t_4
         (*
          y2
          (+
           (+ (* k t_3) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= x -1.55e+232)
     (* x (- (+ (* c (* y0 y2)) (* y t_2)) (* b (* j y0))))
     (if (<= x -2.8e+52)
       t_4
       (if (<= x -1.1e-62)
         (*
          y0
          (+
           (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))
           (* b (- (* z k) (* x j)))))
         (if (<= x -2.2e-151)
           (*
            k
            (+
             (* b (* z y0))
             (- (* y (- (* i y5) (* b y4))) (* y0 (* y2 y5)))))
           (if (<= x -1.1e-274)
             (*
              y3
              (+
               (* y (- (* c y4) (* a y5)))
               (+ (* j (- (* y0 y5) (* y1 y4))) (* z (- (* a y1) (* c y0))))))
             (if (<= x 7.2e-245)
               (* j (* t t_1))
               (if (<= x 3.2e-177)
                 (*
                  a
                  (+ (* b (- (* x y) (* z t))) (* y5 (- (* t y2) (* y y3)))))
                 (if (<= x 1.85e-152)
                   (*
                    y4
                    (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))
                   (if (<= x 3400000000000.0)
                     t_4
                     (if (<= x 1.22e+95)
                       (*
                        k
                        (+
                         (- (* y2 t_3) (* y t_1))
                         (* z (- (* b y0) (* i y1)))))
                       (if (<= x 1.05e+123)
                         (* y1 (* y4 (- (* k y2) (* j y3))))
                         (* y (* x t_2)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (a * b) - (c * i);
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (x <= -1.55e+232) {
		tmp = x * (((c * (y0 * y2)) + (y * t_2)) - (b * (j * y0)));
	} else if (x <= -2.8e+52) {
		tmp = t_4;
	} else if (x <= -1.1e-62) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (x <= -2.2e-151) {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	} else if (x <= -1.1e-274) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	} else if (x <= 7.2e-245) {
		tmp = j * (t * t_1);
	} else if (x <= 3.2e-177) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 1.85e-152) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 3400000000000.0) {
		tmp = t_4;
	} else if (x <= 1.22e+95) {
		tmp = k * (((y2 * t_3) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	} else if (x <= 1.05e+123) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else {
		tmp = y * (x * t_2);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (b * y4) - (i * y5)
    t_2 = (a * b) - (c * i)
    t_3 = (y1 * y4) - (y0 * y5)
    t_4 = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    if (x <= (-1.55d+232)) then
        tmp = x * (((c * (y0 * y2)) + (y * t_2)) - (b * (j * y0)))
    else if (x <= (-2.8d+52)) then
        tmp = t_4
    else if (x <= (-1.1d-62)) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    else if (x <= (-2.2d-151)) then
        tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
    else if (x <= (-1.1d-274)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
    else if (x <= 7.2d-245) then
        tmp = j * (t * t_1)
    else if (x <= 3.2d-177) then
        tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    else if (x <= 1.85d-152) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (x <= 3400000000000.0d0) then
        tmp = t_4
    else if (x <= 1.22d+95) then
        tmp = k * (((y2 * t_3) - (y * t_1)) + (z * ((b * y0) - (i * y1))))
    else if (x <= 1.05d+123) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else
        tmp = y * (x * t_2)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (a * b) - (c * i);
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (x <= -1.55e+232) {
		tmp = x * (((c * (y0 * y2)) + (y * t_2)) - (b * (j * y0)));
	} else if (x <= -2.8e+52) {
		tmp = t_4;
	} else if (x <= -1.1e-62) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (x <= -2.2e-151) {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	} else if (x <= -1.1e-274) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	} else if (x <= 7.2e-245) {
		tmp = j * (t * t_1);
	} else if (x <= 3.2e-177) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 1.85e-152) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 3400000000000.0) {
		tmp = t_4;
	} else if (x <= 1.22e+95) {
		tmp = k * (((y2 * t_3) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	} else if (x <= 1.05e+123) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else {
		tmp = y * (x * t_2);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = (a * b) - (c * i)
	t_3 = (y1 * y4) - (y0 * y5)
	t_4 = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if x <= -1.55e+232:
		tmp = x * (((c * (y0 * y2)) + (y * t_2)) - (b * (j * y0)))
	elif x <= -2.8e+52:
		tmp = t_4
	elif x <= -1.1e-62:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	elif x <= -2.2e-151:
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
	elif x <= -1.1e-274:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
	elif x <= 7.2e-245:
		tmp = j * (t * t_1)
	elif x <= 3.2e-177:
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	elif x <= 1.85e-152:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif x <= 3400000000000.0:
		tmp = t_4
	elif x <= 1.22e+95:
		tmp = k * (((y2 * t_3) - (y * t_1)) + (z * ((b * y0) - (i * y1))))
	elif x <= 1.05e+123:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	else:
		tmp = y * (x * t_2)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y4) - Float64(i * y5))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_4 = Float64(y2 * Float64(Float64(Float64(k * t_3) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (x <= -1.55e+232)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * t_2)) - Float64(b * Float64(j * y0))));
	elseif (x <= -2.8e+52)
		tmp = t_4;
	elseif (x <= -1.1e-62)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (x <= -2.2e-151)
		tmp = Float64(k * Float64(Float64(b * Float64(z * y0)) + Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) - Float64(y0 * Float64(y2 * y5)))));
	elseif (x <= -1.1e-274)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	elseif (x <= 7.2e-245)
		tmp = Float64(j * Float64(t * t_1));
	elseif (x <= 3.2e-177)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (x <= 1.85e-152)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (x <= 3400000000000.0)
		tmp = t_4;
	elseif (x <= 1.22e+95)
		tmp = Float64(k * Float64(Float64(Float64(y2 * t_3) - Float64(y * t_1)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (x <= 1.05e+123)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	else
		tmp = Float64(y * Float64(x * t_2));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = (a * b) - (c * i);
	t_3 = (y1 * y4) - (y0 * y5);
	t_4 = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (x <= -1.55e+232)
		tmp = x * (((c * (y0 * y2)) + (y * t_2)) - (b * (j * y0)));
	elseif (x <= -2.8e+52)
		tmp = t_4;
	elseif (x <= -1.1e-62)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	elseif (x <= -2.2e-151)
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	elseif (x <= -1.1e-274)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	elseif (x <= 7.2e-245)
		tmp = j * (t * t_1);
	elseif (x <= 3.2e-177)
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	elseif (x <= 1.85e-152)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (x <= 3400000000000.0)
		tmp = t_4;
	elseif (x <= 1.22e+95)
		tmp = k * (((y2 * t_3) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	elseif (x <= 1.05e+123)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	else
		tmp = y * (x * t_2);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y2 * N[(N[(N[(k * t$95$3), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.55e+232], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * t$95$2), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.8e+52], t$95$4, If[LessEqual[x, -1.1e-62], N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.2e-151], N[(k * N[(N[(b * N[(z * y0), $MachinePrecision]), $MachinePrecision] + N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.1e-274], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7.2e-245], N[(j * N[(t * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.2e-177], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.85e-152], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3400000000000.0], t$95$4, If[LessEqual[x, 1.22e+95], N[(k * N[(N[(N[(y2 * t$95$3), $MachinePrecision] - N[(y * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.05e+123], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if x < -1.54999999999999992e232

   1. Initial program 13.9%

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

   2. Taylor expanded in y1 around 0 7.3%

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

   3. Taylor expanded in x around inf 73.7%

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

   if -1.54999999999999992e232 < x < -2.8e52 or 1.8499999999999999e-152 < x < 3.4e12

   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 y2 around inf 55.9%

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

   if -2.8e52 < x < -1.10000000000000009e-62

   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 y0 around inf 57.6%

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

   if -1.10000000000000009e-62 < x < -2.1999999999999999e-151

   1. Initial program 49.9%

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

   2. Taylor expanded in y1 around 0 38.8%

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

   3. Taylor expanded in k around -inf 78.3%

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

   if -2.1999999999999999e-151 < x < -1.09999999999999998e-274

   1. Initial program 16.7%

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

   2. Taylor expanded in y3 around -inf 83.3%

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

   if -1.09999999999999998e-274 < x < 7.19999999999999999e-245

   1. Initial program 32.3%

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

   2. Taylor expanded in j around inf 36.9%

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

      1. +-commutative 36.9%

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

      2. mul-1-neg 36.9%

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

      3. unsub-neg 36.9%

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

      4. *-commutative 36.9%

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

   4. Simplified 36.9%

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

   5. Taylor expanded in t around inf 49.6%

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

      1. *-commutative 49.6%

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

   7. Simplified 49.6%

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

   if 7.19999999999999999e-245 < x < 3.1999999999999998e-177

   1. Initial program 26.3%

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

   2. Taylor expanded in y1 around 0 15.9%

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

   3. Taylor expanded in a around inf 79.4%

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

      1. *-commutative 79.4%

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

      2. mul-1-neg 79.4%

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

      3. *-commutative 79.4%

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

      4. *-commutative 79.4%

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

   5. Simplified 79.4%

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

   if 3.1999999999999998e-177 < x < 1.8499999999999999e-152

   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 y1 around 0 15.5%

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

   3. Taylor expanded in y4 around inf 86.8%

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

      1. *-commutative 86.8%

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

      2. *-commutative 86.8%

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

   5. Simplified 86.8%

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

   if 3.4e12 < x < 1.22000000000000007e95

   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 k around inf 91.9%

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

      1. sub-neg 91.9%

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

      2. +-commutative 91.9%

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

      3. mul-1-neg 91.9%

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

      4. unsub-neg 91.9%

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

      5. *-commutative 91.9%

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

      6. mul-1-neg 91.9%

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

      7. remove-double-neg 91.9%

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

   4. Simplified 91.9%

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

   if 1.22000000000000007e95 < x < 1.04999999999999997e123

   1. Initial program 11.1%

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

   2. Taylor expanded in y1 around inf 30.3%

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

      1. associate--l+ 30.3%

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

      2. mul-1-neg 30.3%

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

      3. distribute-rgt-neg-in 30.3%

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

      4. *-commutative 30.3%

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

      5. *-commutative 30.3%

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

      6. fma-neg 30.3%

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

      7. fma-neg 30.3%

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

      8. *-commutative 30.3%

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

      9. distribute-rgt-neg-in 30.3%

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

      10. mul-1-neg 30.3%

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

      11. remove-double-neg 30.3%

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

      12. *-commutative 30.3%

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

   4. Simplified 30.3%

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

   5. Taylor expanded in y4 around inf 60.6%

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

      1. mul-1-neg 60.6%

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

      2. +-commutative 60.6%

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

      3. sub-neg 60.6%

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

      4. *-commutative 60.6%

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

      5. *-commutative 60.6%

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

   7. Simplified 60.6%

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

   if 1.04999999999999997e123 < x

   1. Initial program 22.6%

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

   2. Taylor expanded in y1 around 0 16.1%

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

   3. Taylor expanded in y around inf 38.8%

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

   4. Taylor expanded in x around inf 64.8%

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

4. Final simplification 65.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.55 \cdot 10^{+232}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -2.8 \cdot 10^{+52}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{-62}:\\ \;\;\;\;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}\;x \leq -2.2 \cdot 10^{-151}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{-274}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-245}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-177}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-152}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 3400000000000:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.22 \cdot 10^{+95}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+123}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 2: 54.3% accurate, 0.3× speedup

Math

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

FPCore

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

C

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

Julia

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 91.8%

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

   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 y1 around inf 38.0%

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

      1. associate--l+ 38.0%

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

      2. mul-1-neg 38.0%

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

      3. distribute-rgt-neg-in 38.0%

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

      4. *-commutative 38.0%

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

      5. *-commutative 38.0%

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

      6. fma-neg 40.8%

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

      7. fma-neg 40.8%

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

      8. *-commutative 40.8%

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

      9. distribute-rgt-neg-in 40.8%

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

      10. mul-1-neg 40.8%

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

      11. remove-double-neg 40.8%

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

      12. *-commutative 40.8%

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

   4. Simplified 40.8%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 56.4%

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

Alternative 3: 53.3% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 91.8%

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

   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 y1 around inf 38.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 54.4%

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

Alternative 4: 41.3% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := b \cdot t_1\\ t_3 := y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\\ t_4 := y0 \cdot y5 - y1 \cdot y4\\ t_5 := z \cdot k - x \cdot j\\ t_6 := b \cdot y4 - i \cdot y5\\ t_7 := y1 \cdot y4 - y0 \cdot y5\\ t_8 := \left(k \cdot y2 - j \cdot y3\right) \cdot t_7\\ t_9 := a \cdot y5 - c \cdot y4\\ t_10 := y2 \cdot \left(\left(k \cdot t_7 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_9\right)\\ \mathbf{if}\;y2 \leq -1.7 \cdot 10^{+210}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{+123}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t_6 + y3 \cdot t_4\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -3.1 \cdot 10^{-13}:\\ \;\;\;\;t_8 + a \cdot \left(t_3 + \left(t_2 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -4.05 \cdot 10^{-45}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -5.4 \cdot 10^{-167}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot t_5\right)\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{-222}:\\ \;\;\;\;a \cdot \left(t_2 + t_3\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-287}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t_4 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-128}:\\ \;\;\;\;t_8 - i \cdot \left(\left(c \cdot t_1 + y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot t_5\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{+14}:\\ \;\;\;\;t_8 + t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot t_6\right) + y2 \cdot t_9\right)\\ \mathbf{else}:\\ \;\;\;\;t_10\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (* b t_1))
        (t_3 (* y5 (- (* t y2) (* y y3))))
        (t_4 (- (* y0 y5) (* y1 y4)))
        (t_5 (- (* z k) (* x j)))
        (t_6 (- (* b y4) (* i y5)))
        (t_7 (- (* y1 y4) (* y0 y5)))
        (t_8 (* (- (* k y2) (* j y3)) t_7))
        (t_9 (- (* a y5) (* c y4)))
        (t_10 (* y2 (+ (+ (* k t_7) (* x (- (* c y0) (* a y1)))) (* t t_9)))))
   (if (<= y2 -1.7e+210)
     t_10
     (if (<= y2 -5.8e+123)
       (* j (+ (+ (* t t_6) (* y3 t_4)) (* x (- (* i y1) (* b y0)))))
       (if (<= y2 -3.1e-13)
         (+ t_8 (* a (+ t_3 (+ t_2 (* y1 (- (* z y3) (* x y2)))))))
         (if (<= y2 -4.05e-45)
           (* i (* y1 (- (* x j) (* z k))))
           (if (<= y2 -5.4e-167)
             (*
              y0
              (+
               (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))
               (* b t_5)))
             (if (<= y2 -1.65e-222)
               (* a (+ t_2 t_3))
               (if (<= y2 4e-287)
                 (*
                  y3
                  (+
                   (* y (- (* c y4) (* a y5)))
                   (+ (* j t_4) (* z (- (* a y1) (* c y0))))))
                 (if (<= y2 1.7e-128)
                   (-
                    t_8
                    (*
                     i
                     (+ (+ (* c t_1) (* y5 (- (* t j) (* y k)))) (* y1 t_5))))
                   (if (<= y2 4.2e+14)
                     (+
                      t_8
                      (*
                       t
                       (+ (+ (* z (- (* c i) (* a b))) (* j t_6)) (* y2 t_9))))
                     t_10)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = b * t_1;
	double t_3 = y5 * ((t * y2) - (y * y3));
	double t_4 = (y0 * y5) - (y1 * y4);
	double t_5 = (z * k) - (x * j);
	double t_6 = (b * y4) - (i * y5);
	double t_7 = (y1 * y4) - (y0 * y5);
	double t_8 = ((k * y2) - (j * y3)) * t_7;
	double t_9 = (a * y5) - (c * y4);
	double t_10 = y2 * (((k * t_7) + (x * ((c * y0) - (a * y1)))) + (t * t_9));
	double tmp;
	if (y2 <= -1.7e+210) {
		tmp = t_10;
	} else if (y2 <= -5.8e+123) {
		tmp = j * (((t * t_6) + (y3 * t_4)) + (x * ((i * y1) - (b * y0))));
	} else if (y2 <= -3.1e-13) {
		tmp = t_8 + (a * (t_3 + (t_2 + (y1 * ((z * y3) - (x * y2))))));
	} else if (y2 <= -4.05e-45) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y2 <= -5.4e-167) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_5));
	} else if (y2 <= -1.65e-222) {
		tmp = a * (t_2 + t_3);
	} else if (y2 <= 4e-287) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) + (z * ((a * y1) - (c * y0)))));
	} else if (y2 <= 1.7e-128) {
		tmp = t_8 - (i * (((c * t_1) + (y5 * ((t * j) - (y * k)))) + (y1 * t_5)));
	} else if (y2 <= 4.2e+14) {
		tmp = t_8 + (t * (((z * ((c * i) - (a * b))) + (j * t_6)) + (y2 * t_9)));
	} else {
		tmp = t_10;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = b * t_1
    t_3 = y5 * ((t * y2) - (y * y3))
    t_4 = (y0 * y5) - (y1 * y4)
    t_5 = (z * k) - (x * j)
    t_6 = (b * y4) - (i * y5)
    t_7 = (y1 * y4) - (y0 * y5)
    t_8 = ((k * y2) - (j * y3)) * t_7
    t_9 = (a * y5) - (c * y4)
    t_10 = y2 * (((k * t_7) + (x * ((c * y0) - (a * y1)))) + (t * t_9))
    if (y2 <= (-1.7d+210)) then
        tmp = t_10
    else if (y2 <= (-5.8d+123)) then
        tmp = j * (((t * t_6) + (y3 * t_4)) + (x * ((i * y1) - (b * y0))))
    else if (y2 <= (-3.1d-13)) then
        tmp = t_8 + (a * (t_3 + (t_2 + (y1 * ((z * y3) - (x * y2))))))
    else if (y2 <= (-4.05d-45)) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y2 <= (-5.4d-167)) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_5))
    else if (y2 <= (-1.65d-222)) then
        tmp = a * (t_2 + t_3)
    else if (y2 <= 4d-287) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) + (z * ((a * y1) - (c * y0)))))
    else if (y2 <= 1.7d-128) then
        tmp = t_8 - (i * (((c * t_1) + (y5 * ((t * j) - (y * k)))) + (y1 * t_5)))
    else if (y2 <= 4.2d+14) then
        tmp = t_8 + (t * (((z * ((c * i) - (a * b))) + (j * t_6)) + (y2 * t_9)))
    else
        tmp = t_10
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = b * t_1;
	double t_3 = y5 * ((t * y2) - (y * y3));
	double t_4 = (y0 * y5) - (y1 * y4);
	double t_5 = (z * k) - (x * j);
	double t_6 = (b * y4) - (i * y5);
	double t_7 = (y1 * y4) - (y0 * y5);
	double t_8 = ((k * y2) - (j * y3)) * t_7;
	double t_9 = (a * y5) - (c * y4);
	double t_10 = y2 * (((k * t_7) + (x * ((c * y0) - (a * y1)))) + (t * t_9));
	double tmp;
	if (y2 <= -1.7e+210) {
		tmp = t_10;
	} else if (y2 <= -5.8e+123) {
		tmp = j * (((t * t_6) + (y3 * t_4)) + (x * ((i * y1) - (b * y0))));
	} else if (y2 <= -3.1e-13) {
		tmp = t_8 + (a * (t_3 + (t_2 + (y1 * ((z * y3) - (x * y2))))));
	} else if (y2 <= -4.05e-45) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y2 <= -5.4e-167) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_5));
	} else if (y2 <= -1.65e-222) {
		tmp = a * (t_2 + t_3);
	} else if (y2 <= 4e-287) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) + (z * ((a * y1) - (c * y0)))));
	} else if (y2 <= 1.7e-128) {
		tmp = t_8 - (i * (((c * t_1) + (y5 * ((t * j) - (y * k)))) + (y1 * t_5)));
	} else if (y2 <= 4.2e+14) {
		tmp = t_8 + (t * (((z * ((c * i) - (a * b))) + (j * t_6)) + (y2 * t_9)));
	} else {
		tmp = t_10;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = b * t_1
	t_3 = y5 * ((t * y2) - (y * y3))
	t_4 = (y0 * y5) - (y1 * y4)
	t_5 = (z * k) - (x * j)
	t_6 = (b * y4) - (i * y5)
	t_7 = (y1 * y4) - (y0 * y5)
	t_8 = ((k * y2) - (j * y3)) * t_7
	t_9 = (a * y5) - (c * y4)
	t_10 = y2 * (((k * t_7) + (x * ((c * y0) - (a * y1)))) + (t * t_9))
	tmp = 0
	if y2 <= -1.7e+210:
		tmp = t_10
	elif y2 <= -5.8e+123:
		tmp = j * (((t * t_6) + (y3 * t_4)) + (x * ((i * y1) - (b * y0))))
	elif y2 <= -3.1e-13:
		tmp = t_8 + (a * (t_3 + (t_2 + (y1 * ((z * y3) - (x * y2))))))
	elif y2 <= -4.05e-45:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y2 <= -5.4e-167:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_5))
	elif y2 <= -1.65e-222:
		tmp = a * (t_2 + t_3)
	elif y2 <= 4e-287:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) + (z * ((a * y1) - (c * y0)))))
	elif y2 <= 1.7e-128:
		tmp = t_8 - (i * (((c * t_1) + (y5 * ((t * j) - (y * k)))) + (y1 * t_5)))
	elif y2 <= 4.2e+14:
		tmp = t_8 + (t * (((z * ((c * i) - (a * b))) + (j * t_6)) + (y2 * t_9)))
	else:
		tmp = t_10
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(b * t_1)
	t_3 = Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))
	t_4 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = Float64(Float64(b * y4) - Float64(i * y5))
	t_7 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_8 = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_7)
	t_9 = Float64(Float64(a * y5) - Float64(c * y4))
	t_10 = Float64(y2 * Float64(Float64(Float64(k * t_7) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_9)))
	tmp = 0.0
	if (y2 <= -1.7e+210)
		tmp = t_10;
	elseif (y2 <= -5.8e+123)
		tmp = Float64(j * Float64(Float64(Float64(t * t_6) + Float64(y3 * t_4)) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= -3.1e-13)
		tmp = Float64(t_8 + Float64(a * Float64(t_3 + Float64(t_2 + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))))));
	elseif (y2 <= -4.05e-45)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y2 <= -5.4e-167)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * t_5)));
	elseif (y2 <= -1.65e-222)
		tmp = Float64(a * Float64(t_2 + t_3));
	elseif (y2 <= 4e-287)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_4) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	elseif (y2 <= 1.7e-128)
		tmp = Float64(t_8 - Float64(i * Float64(Float64(Float64(c * t_1) + Float64(y5 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y1 * t_5))));
	elseif (y2 <= 4.2e+14)
		tmp = Float64(t_8 + Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * t_6)) + Float64(y2 * t_9))));
	else
		tmp = t_10;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = b * t_1;
	t_3 = y5 * ((t * y2) - (y * y3));
	t_4 = (y0 * y5) - (y1 * y4);
	t_5 = (z * k) - (x * j);
	t_6 = (b * y4) - (i * y5);
	t_7 = (y1 * y4) - (y0 * y5);
	t_8 = ((k * y2) - (j * y3)) * t_7;
	t_9 = (a * y5) - (c * y4);
	t_10 = y2 * (((k * t_7) + (x * ((c * y0) - (a * y1)))) + (t * t_9));
	tmp = 0.0;
	if (y2 <= -1.7e+210)
		tmp = t_10;
	elseif (y2 <= -5.8e+123)
		tmp = j * (((t * t_6) + (y3 * t_4)) + (x * ((i * y1) - (b * y0))));
	elseif (y2 <= -3.1e-13)
		tmp = t_8 + (a * (t_3 + (t_2 + (y1 * ((z * y3) - (x * y2))))));
	elseif (y2 <= -4.05e-45)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y2 <= -5.4e-167)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_5));
	elseif (y2 <= -1.65e-222)
		tmp = a * (t_2 + t_3);
	elseif (y2 <= 4e-287)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) + (z * ((a * y1) - (c * y0)))));
	elseif (y2 <= 1.7e-128)
		tmp = t_8 - (i * (((c * t_1) + (y5 * ((t * j) - (y * k)))) + (y1 * t_5)));
	elseif (y2 <= 4.2e+14)
		tmp = t_8 + (t * (((z * ((c * i) - (a * b))) + (j * t_6)) + (y2 * t_9)));
	else
		tmp = t_10;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]}, Block[{t$95$9 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(y2 * N[(N[(N[(k * t$95$7), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.7e+210], t$95$10, If[LessEqual[y2, -5.8e+123], N[(j * N[(N[(N[(t * t$95$6), $MachinePrecision] + N[(y3 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.1e-13], N[(t$95$8 + N[(a * N[(t$95$3 + N[(t$95$2 + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -4.05e-45], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.4e-167], N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.65e-222], N[(a * N[(t$95$2 + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4e-287], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * t$95$4), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.7e-128], N[(t$95$8 - N[(i * N[(N[(N[(c * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.2e+14], N[(t$95$8 + N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$10]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -1.70000000000000012e210 or 4.2e14 < y2

   1. Initial program 20.6%

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

   2. Taylor expanded in y2 around inf 65.5%

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

   if -1.70000000000000012e210 < y2 < -5.80000000000000019e123

   1. Initial program 16.7%

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

   2. Taylor expanded in j around inf 65.3%

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

      1. +-commutative 65.3%

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

      2. mul-1-neg 65.3%

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

      3. unsub-neg 65.3%

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

      4. *-commutative 65.3%

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

   4. Simplified 65.3%

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

   if -5.80000000000000019e123 < y2 < -3.0999999999999999e-13

   1. Initial program 37.9%

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

   2. Taylor expanded in a around -inf 65.6%

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

      1. mul-1-neg 65.6%

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

      2. *-commutative 65.6%

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

      3. distribute-rgt-neg-in 65.6%

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

   4. Simplified 65.6%

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

   if -3.0999999999999999e-13 < y2 < -4.05000000000000024e-45

   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 y1 around inf 57.1%

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

      1. associate--l+ 57.1%

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

      2. mul-1-neg 57.1%

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

      3. distribute-rgt-neg-in 57.1%

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

      4. *-commutative 57.1%

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

      5. *-commutative 57.1%

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

      6. fma-neg 71.4%

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

      7. fma-neg 71.4%

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

      8. *-commutative 71.4%

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

      9. distribute-rgt-neg-in 71.4%

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

      10. mul-1-neg 71.4%

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

      11. remove-double-neg 71.4%

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

      12. *-commutative 71.4%

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

   4. Simplified 71.4%

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

   5. Taylor expanded in i around inf 85.7%

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

   if -4.05000000000000024e-45 < y2 < -5.4000000000000001e-167

   1. Initial program 18.5%

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

   2. Taylor expanded in y0 around inf 55.3%

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

   if -5.4000000000000001e-167 < y2 < -1.65000000000000001e-222

   1. Initial program 40.9%

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

   2. Taylor expanded in y1 around 0 30.9%

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

   3. Taylor expanded in a around inf 61.9%

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

      1. *-commutative 61.9%

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

      2. mul-1-neg 61.9%

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

      3. *-commutative 61.9%

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

      4. *-commutative 61.9%

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

   5. Simplified 61.9%

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

   if -1.65000000000000001e-222 < y2 < 4.00000000000000009e-287

   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 y3 around -inf 66.9%

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

   if 4.00000000000000009e-287 < y2 < 1.69999999999999987e-128

   1. Initial program 41.6%

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

   2. Taylor expanded in i around -inf 55.9%

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

   if 1.69999999999999987e-128 < y2 < 4.2e14

   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 t around inf 59.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 63.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.7 \cdot 10^{+210}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{+123}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -3.1 \cdot 10^{-13}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -4.05 \cdot 10^{-45}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -5.4 \cdot 10^{-167}:\\ \;\;\;\;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}\;y2 \leq -1.65 \cdot 10^{-222}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-287}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-128}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - i \cdot \left(\left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{+14}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]

Alternative 5: 38.2% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ t_2 := b \cdot y4 - i \cdot y5\\ t_3 := a \cdot b - c \cdot i\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := y2 \cdot \left(\left(k \cdot t_4 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;x \leq -2.85 \cdot 10^{+231}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot t_3\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{+52}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -7 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{-151}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq -8 \cdot 10^{-275}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-241}:\\ \;\;\;\;j \cdot \left(t \cdot t_2\right)\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-184}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-153}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 7.6 \cdot 10^{+16}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+96}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot t_4 - y \cdot t_2\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{+125}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot t_3\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (+ (* j (- (* y0 y5) (* y1 y4))) (* z (- (* a y1) (* c y0)))))))
        (t_2 (- (* b y4) (* i y5)))
        (t_3 (- (* a b) (* c i)))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5
         (*
          y2
          (+
           (+ (* k t_4) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= x -2.85e+231)
     (* x (- (+ (* c (* y0 y2)) (* y t_3)) (* b (* j y0))))
     (if (<= x -7.5e+52)
       t_5
       (if (<= x -7e-58)
         t_1
         (if (<= x -2.3e-151)
           (*
            k
            (+
             (* b (* z y0))
             (- (* y (- (* i y5) (* b y4))) (* y0 (* y2 y5)))))
           (if (<= x -8e-275)
             t_1
             (if (<= x 7.2e-241)
               (* j (* t t_2))
               (if (<= x 9.2e-184)
                 (*
                  a
                  (+ (* b (- (* x y) (* z t))) (* y5 (- (* t y2) (* y y3)))))
                 (if (<= x 1.5e-153)
                   (*
                    y4
                    (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))
                   (if (<= x 7.6e+16)
                     t_5
                     (if (<= x 4.5e+96)
                       (*
                        k
                        (+
                         (- (* y2 t_4) (* y t_2))
                         (* z (- (* b y0) (* i y1)))))
                       (if (<= x 1.15e+125)
                         (* y1 (* y4 (- (* k y2) (* j y3))))
                         (* y (* x t_3)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	double t_2 = (b * y4) - (i * y5);
	double t_3 = (a * b) - (c * i);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (x <= -2.85e+231) {
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)));
	} else if (x <= -7.5e+52) {
		tmp = t_5;
	} else if (x <= -7e-58) {
		tmp = t_1;
	} else if (x <= -2.3e-151) {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	} else if (x <= -8e-275) {
		tmp = t_1;
	} else if (x <= 7.2e-241) {
		tmp = j * (t * t_2);
	} else if (x <= 9.2e-184) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 1.5e-153) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 7.6e+16) {
		tmp = t_5;
	} else if (x <= 4.5e+96) {
		tmp = k * (((y2 * t_4) - (y * t_2)) + (z * ((b * y0) - (i * y1))));
	} else if (x <= 1.15e+125) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else {
		tmp = y * (x * t_3);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
    t_2 = (b * y4) - (i * y5)
    t_3 = (a * b) - (c * i)
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    if (x <= (-2.85d+231)) then
        tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)))
    else if (x <= (-7.5d+52)) then
        tmp = t_5
    else if (x <= (-7d-58)) then
        tmp = t_1
    else if (x <= (-2.3d-151)) then
        tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
    else if (x <= (-8d-275)) then
        tmp = t_1
    else if (x <= 7.2d-241) then
        tmp = j * (t * t_2)
    else if (x <= 9.2d-184) then
        tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    else if (x <= 1.5d-153) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (x <= 7.6d+16) then
        tmp = t_5
    else if (x <= 4.5d+96) then
        tmp = k * (((y2 * t_4) - (y * t_2)) + (z * ((b * y0) - (i * y1))))
    else if (x <= 1.15d+125) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else
        tmp = y * (x * t_3)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	double t_2 = (b * y4) - (i * y5);
	double t_3 = (a * b) - (c * i);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (x <= -2.85e+231) {
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)));
	} else if (x <= -7.5e+52) {
		tmp = t_5;
	} else if (x <= -7e-58) {
		tmp = t_1;
	} else if (x <= -2.3e-151) {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	} else if (x <= -8e-275) {
		tmp = t_1;
	} else if (x <= 7.2e-241) {
		tmp = j * (t * t_2);
	} else if (x <= 9.2e-184) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 1.5e-153) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 7.6e+16) {
		tmp = t_5;
	} else if (x <= 4.5e+96) {
		tmp = k * (((y2 * t_4) - (y * t_2)) + (z * ((b * y0) - (i * y1))));
	} else if (x <= 1.15e+125) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else {
		tmp = y * (x * t_3);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
	t_2 = (b * y4) - (i * y5)
	t_3 = (a * b) - (c * i)
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if x <= -2.85e+231:
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)))
	elif x <= -7.5e+52:
		tmp = t_5
	elif x <= -7e-58:
		tmp = t_1
	elif x <= -2.3e-151:
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
	elif x <= -8e-275:
		tmp = t_1
	elif x <= 7.2e-241:
		tmp = j * (t * t_2)
	elif x <= 9.2e-184:
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	elif x <= 1.5e-153:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif x <= 7.6e+16:
		tmp = t_5
	elif x <= 4.5e+96:
		tmp = k * (((y2 * t_4) - (y * t_2)) + (z * ((b * y0) - (i * y1))))
	elif x <= 1.15e+125:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	else:
		tmp = y * (x * t_3)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))))
	t_2 = Float64(Float64(b * y4) - Float64(i * y5))
	t_3 = Float64(Float64(a * b) - Float64(c * i))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(y2 * Float64(Float64(Float64(k * t_4) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (x <= -2.85e+231)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * t_3)) - Float64(b * Float64(j * y0))));
	elseif (x <= -7.5e+52)
		tmp = t_5;
	elseif (x <= -7e-58)
		tmp = t_1;
	elseif (x <= -2.3e-151)
		tmp = Float64(k * Float64(Float64(b * Float64(z * y0)) + Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) - Float64(y0 * Float64(y2 * y5)))));
	elseif (x <= -8e-275)
		tmp = t_1;
	elseif (x <= 7.2e-241)
		tmp = Float64(j * Float64(t * t_2));
	elseif (x <= 9.2e-184)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (x <= 1.5e-153)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (x <= 7.6e+16)
		tmp = t_5;
	elseif (x <= 4.5e+96)
		tmp = Float64(k * Float64(Float64(Float64(y2 * t_4) - Float64(y * t_2)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (x <= 1.15e+125)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	else
		tmp = Float64(y * Float64(x * t_3));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	t_2 = (b * y4) - (i * y5);
	t_3 = (a * b) - (c * i);
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (x <= -2.85e+231)
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)));
	elseif (x <= -7.5e+52)
		tmp = t_5;
	elseif (x <= -7e-58)
		tmp = t_1;
	elseif (x <= -2.3e-151)
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	elseif (x <= -8e-275)
		tmp = t_1;
	elseif (x <= 7.2e-241)
		tmp = j * (t * t_2);
	elseif (x <= 9.2e-184)
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	elseif (x <= 1.5e-153)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (x <= 7.6e+16)
		tmp = t_5;
	elseif (x <= 4.5e+96)
		tmp = k * (((y2 * t_4) - (y * t_2)) + (z * ((b * y0) - (i * y1))));
	elseif (x <= 1.15e+125)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	else
		tmp = y * (x * t_3);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $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]}, Block[{t$95$2 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y2 * N[(N[(N[(k * t$95$4), $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[x, -2.85e+231], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * t$95$3), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -7.5e+52], t$95$5, If[LessEqual[x, -7e-58], t$95$1, If[LessEqual[x, -2.3e-151], N[(k * N[(N[(b * N[(z * y0), $MachinePrecision]), $MachinePrecision] + N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -8e-275], t$95$1, If[LessEqual[x, 7.2e-241], N[(j * N[(t * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 9.2e-184], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.5e-153], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7.6e+16], t$95$5, If[LessEqual[x, 4.5e+96], N[(k * N[(N[(N[(y2 * t$95$4), $MachinePrecision] - N[(y * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.15e+125], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(x * t$95$3), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if x < -2.8500000000000001e231

   1. Initial program 13.9%

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

   2. Taylor expanded in y1 around 0 7.3%

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

   3. Taylor expanded in x around inf 73.7%

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

   if -2.8500000000000001e231 < x < -7.49999999999999995e52 or 1.5e-153 < x < 7.6e16

   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 y2 around inf 55.9%

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

   if -7.49999999999999995e52 < x < -6.9999999999999998e-58 or -2.29999999999999996e-151 < x < -7.99999999999999947e-275

   1. Initial program 28.9%

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

   2. Taylor expanded in y3 around -inf 63.3%

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

   if -6.9999999999999998e-58 < x < -2.29999999999999996e-151

   1. Initial program 49.9%

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

   2. Taylor expanded in y1 around 0 39.9%

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

   3. Taylor expanded in k around -inf 75.5%

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

   if -7.99999999999999947e-275 < x < 7.1999999999999998e-241

   1. Initial program 32.3%

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

   2. Taylor expanded in j around inf 36.9%

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

      1. +-commutative 36.9%

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

      2. mul-1-neg 36.9%

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

      3. unsub-neg 36.9%

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

      4. *-commutative 36.9%

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

   4. Simplified 36.9%

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

   5. Taylor expanded in t around inf 49.6%

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

      1. *-commutative 49.6%

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

   7. Simplified 49.6%

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

   if 7.1999999999999998e-241 < x < 9.1999999999999998e-184

   1. Initial program 26.3%

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

   2. Taylor expanded in y1 around 0 15.9%

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

   3. Taylor expanded in a around inf 79.4%

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

      1. *-commutative 79.4%

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

      2. mul-1-neg 79.4%

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

      3. *-commutative 79.4%

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

      4. *-commutative 79.4%

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

   5. Simplified 79.4%

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

   if 9.1999999999999998e-184 < x < 1.5e-153

   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 y1 around 0 15.5%

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

   3. Taylor expanded in y4 around inf 86.8%

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

      1. *-commutative 86.8%

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

      2. *-commutative 86.8%

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

   5. Simplified 86.8%

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

   if 7.6e16 < x < 4.49999999999999957e96

   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 k around inf 91.9%

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

      1. sub-neg 91.9%

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

      2. +-commutative 91.9%

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

      3. mul-1-neg 91.9%

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

      4. unsub-neg 91.9%

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

      5. *-commutative 91.9%

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

      6. mul-1-neg 91.9%

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

      7. remove-double-neg 91.9%

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

   4. Simplified 91.9%

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

   if 4.49999999999999957e96 < x < 1.15000000000000006e125

   1. Initial program 11.1%

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

   2. Taylor expanded in y1 around inf 30.3%

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

      1. associate--l+ 30.3%

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

      2. mul-1-neg 30.3%

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

      3. distribute-rgt-neg-in 30.3%

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

      4. *-commutative 30.3%

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

      5. *-commutative 30.3%

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

      6. fma-neg 30.3%

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

      7. fma-neg 30.3%

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

      8. *-commutative 30.3%

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

      9. distribute-rgt-neg-in 30.3%

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

      10. mul-1-neg 30.3%

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

      11. remove-double-neg 30.3%

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

      12. *-commutative 30.3%

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

   4. Simplified 30.3%

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

   5. Taylor expanded in y4 around inf 60.6%

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

      1. mul-1-neg 60.6%

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

      2. +-commutative 60.6%

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

      3. sub-neg 60.6%

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

      4. *-commutative 60.6%

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

      5. *-commutative 60.6%

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

   7. Simplified 60.6%

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

   if 1.15000000000000006e125 < x

   1. Initial program 22.6%

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

   2. Taylor expanded in y1 around 0 16.1%

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

   3. Taylor expanded in y around inf 38.8%

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

   4. Taylor expanded in x around inf 64.8%

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

4. Final simplification 64.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.85 \cdot 10^{+231}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{+52}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -7 \cdot 10^{-58}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{-151}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq -8 \cdot 10^{-275}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-241}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-184}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-153}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 7.6 \cdot 10^{+16}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+96}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{+125}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 6: 38.8% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -1.25 \cdot 10^{+68}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -2 \cdot 10^{-181}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4 \cdot 10^{-229}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{-272}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.46 \cdot 10^{-272}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq 5.2 \cdot 10^{-155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 3.8 \cdot 10^{-69}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+184}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0)))))))
   (if (<= k -1.25e+68)
     (+ (* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5))) (* i (* k (* y y5))))
     (if (<= k -2e-181)
       (* y4 (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))
       (if (<= k -4e-229)
         (* (* y a) (- (* x b) (* y3 y5)))
         (if (<= k 1.45e-305)
           (* c (* z (- (* t i) (* y0 y3))))
           (if (<= k 1.15e-272)
             (* x (* y1 (- (* i j) (* a y2))))
             (if (<= k 1.46e-272)
               (* a (* (* x y) b))
               (if (<= k 5.2e-155)
                 t_1
                 (if (<= k 3.8e-69)
                   (*
                    x
                    (-
                     (+ (* c (* y0 y2)) (* y (- (* a b) (* c i))))
                     (* b (* j y0))))
                   (if (<= k 1.15e+184)
                     t_1
                     (*
                      k
                      (+
                       (* b (* z y0))
                       (-
                        (* y (- (* i y5) (* b y4)))
                        (* y0 (* y2 y5))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double tmp;
	if (k <= -1.25e+68) {
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)));
	} else if (k <= -2e-181) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= -4e-229) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (k <= 1.45e-305) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (k <= 1.15e-272) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (k <= 1.46e-272) {
		tmp = a * ((x * y) * b);
	} else if (k <= 5.2e-155) {
		tmp = t_1;
	} else if (k <= 3.8e-69) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (k <= 1.15e+184) {
		tmp = t_1;
	} else {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    if (k <= (-1.25d+68)) then
        tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)))
    else if (k <= (-2d-181)) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (k <= (-4d-229)) then
        tmp = (y * a) * ((x * b) - (y3 * y5))
    else if (k <= 1.45d-305) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (k <= 1.15d-272) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (k <= 1.46d-272) then
        tmp = a * ((x * y) * b)
    else if (k <= 5.2d-155) then
        tmp = t_1
    else if (k <= 3.8d-69) then
        tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
    else if (k <= 1.15d+184) then
        tmp = t_1
    else
        tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double tmp;
	if (k <= -1.25e+68) {
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)));
	} else if (k <= -2e-181) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= -4e-229) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (k <= 1.45e-305) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (k <= 1.15e-272) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (k <= 1.46e-272) {
		tmp = a * ((x * y) * b);
	} else if (k <= 5.2e-155) {
		tmp = t_1;
	} else if (k <= 3.8e-69) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (k <= 1.15e+184) {
		tmp = t_1;
	} else {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	tmp = 0
	if k <= -1.25e+68:
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)))
	elif k <= -2e-181:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif k <= -4e-229:
		tmp = (y * a) * ((x * b) - (y3 * y5))
	elif k <= 1.45e-305:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif k <= 1.15e-272:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif k <= 1.46e-272:
		tmp = a * ((x * y) * b)
	elif k <= 5.2e-155:
		tmp = t_1
	elif k <= 3.8e-69:
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
	elif k <= 1.15e+184:
		tmp = t_1
	else:
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	tmp = 0.0
	if (k <= -1.25e+68)
		tmp = Float64(Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(i * Float64(k * Float64(y * y5))));
	elseif (k <= -2e-181)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (k <= -4e-229)
		tmp = Float64(Float64(y * a) * Float64(Float64(x * b) - Float64(y3 * y5)));
	elseif (k <= 1.45e-305)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (k <= 1.15e-272)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (k <= 1.46e-272)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (k <= 5.2e-155)
		tmp = t_1;
	elseif (k <= 3.8e-69)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * Float64(Float64(a * b) - Float64(c * i)))) - Float64(b * Float64(j * y0))));
	elseif (k <= 1.15e+184)
		tmp = t_1;
	else
		tmp = Float64(k * Float64(Float64(b * Float64(z * y0)) + Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) - Float64(y0 * Float64(y2 * y5)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	tmp = 0.0;
	if (k <= -1.25e+68)
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)));
	elseif (k <= -2e-181)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (k <= -4e-229)
		tmp = (y * a) * ((x * b) - (y3 * y5));
	elseif (k <= 1.45e-305)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (k <= 1.15e-272)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (k <= 1.46e-272)
		tmp = a * ((x * y) * b);
	elseif (k <= 5.2e-155)
		tmp = t_1;
	elseif (k <= 3.8e-69)
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	elseif (k <= 1.15e+184)
		tmp = t_1;
	else
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.25e+68], N[(N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2e-181], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4e-229], N[(N[(y * a), $MachinePrecision] * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.45e-305], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.15e-272], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.46e-272], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.2e-155], t$95$1, If[LessEqual[k, 3.8e-69], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.15e+184], t$95$1, N[(k * N[(N[(b * N[(z * y0), $MachinePrecision]), $MachinePrecision] + N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -1.2500000000000001e68

   1. Initial program 28.9%

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

   2. Taylor expanded in y5 around inf 47.0%

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

      1. distribute-lft-out-- 47.0%

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

      2. *-commutative 47.0%

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

      3. *-commutative 47.0%

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

   4. Simplified 47.0%

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

   5. Taylor expanded in k around inf 49.5%

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

      1. *-commutative 49.5%

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

   7. Simplified 49.5%

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

   if -1.2500000000000001e68 < k < -2.00000000000000009e-181

   1. Initial program 30.9%

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

   2. Taylor expanded in y1 around 0 28.9%

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

   3. Taylor expanded in y4 around inf 55.8%

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

      1. *-commutative 55.8%

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

      2. *-commutative 55.8%

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

   5. Simplified 55.8%

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

   if -2.00000000000000009e-181 < k < -4.00000000000000028e-229

   1. Initial program 12.5%

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

   2. Taylor expanded in y1 around 0 18.8%

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

   3. Taylor expanded in a around inf 44.1%

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

      1. *-commutative 44.1%

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

      2. mul-1-neg 44.1%

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

      3. *-commutative 44.1%

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

      4. *-commutative 44.1%

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

   5. Simplified 44.1%

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

   6. Taylor expanded in y around inf 50.6%

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

      1. associate-*r* 56.5%

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

      2. +-commutative 56.5%

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

      3. mul-1-neg 56.5%

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

      4. unsub-neg 56.5%

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

      5. *-commutative 56.5%

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

   8. Simplified 56.5%

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

   if -4.00000000000000028e-229 < k < 1.44999999999999994e-305

   1. Initial program 28.1%

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

   2. Taylor expanded in c around inf 45.0%

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

      1. +-commutative 45.0%

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

      2. mul-1-neg 45.0%

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

      3. unsub-neg 45.0%

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

      4. *-commutative 45.0%

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

      5. *-commutative 45.0%

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

      6. *-commutative 45.0%

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

      7. *-commutative 45.0%

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

   4. Simplified 45.0%

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

   5. Taylor expanded in z around -inf 61.6%

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

      1. mul-1-neg 61.6%

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

      2. *-commutative 61.6%

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

   7. Simplified 61.6%

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

   if 1.44999999999999994e-305 < k < 1.14999999999999994e-272

   1. Initial program 12.3%

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

   2. Taylor expanded in y1 around inf 26.2%

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

      1. associate--l+ 26.2%

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

      2. mul-1-neg 26.2%

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

      3. distribute-rgt-neg-in 26.2%

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

      4. *-commutative 26.2%

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

      5. *-commutative 26.2%

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

      6. fma-neg 26.2%

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

      7. fma-neg 26.2%

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

      8. *-commutative 26.2%

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

      9. distribute-rgt-neg-in 26.2%

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

      10. mul-1-neg 26.2%

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

      11. remove-double-neg 26.2%

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

      12. *-commutative 26.2%

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

   4. Simplified 26.2%

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

   5. Taylor expanded in x around inf 62.9%

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

   if 1.14999999999999994e-272 < k < 1.45999999999999997e-272

   1. Initial program 0.0%

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

   2. Taylor expanded in y1 around 0 0.0%

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

   3. Taylor expanded in a around inf 100.0%

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

      1. *-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. *-commutative 100.0%

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

      4. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   6. Taylor expanded in x around inf 100.0%

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

   if 1.45999999999999997e-272 < k < 5.20000000000000016e-155 or 3.7999999999999998e-69 < k < 1.15e184

   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 j around inf 58.1%

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

      1. +-commutative 58.1%

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

      2. mul-1-neg 58.1%

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

      3. unsub-neg 58.1%

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

      4. *-commutative 58.1%

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

   4. Simplified 58.1%

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

   if 5.20000000000000016e-155 < k < 3.7999999999999998e-69

   1. Initial program 35.2%

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

   2. Taylor expanded in y1 around 0 22.3%

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

   3. Taylor expanded in x around inf 57.4%

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

   if 1.15e184 < k

   1. Initial program 20.6%

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

   2. Taylor expanded in y1 around 0 24.2%

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

   3. Taylor expanded in k around -inf 62.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(\left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y0 \cdot \left(y2 \cdot y5\right)\right) - b \cdot \left(y0 \cdot z\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 57.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.25 \cdot 10^{+68}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -2 \cdot 10^{-181}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4 \cdot 10^{-229}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{-272}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.46 \cdot 10^{-272}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq 5.2 \cdot 10^{-155}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.8 \cdot 10^{-69}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+184}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \end{array} \]

Alternative 7: 39.5% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := y2 \cdot \left(\left(k \cdot t_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_3 := a \cdot b - c \cdot i\\ t_4 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_5 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;y2 \leq -1.7 \cdot 10^{+210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -7.8 \cdot 10^{+135}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y2 \leq -1100:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot t_1 + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -8 \cdot 10^{-71}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y2 \leq -2.4 \cdot 10^{-127}:\\ \;\;\;\;y \cdot \left(x \cdot t_3\right)\\ \mathbf{elif}\;y2 \leq -3.8 \cdot 10^{-272}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y2 \leq -2.22 \cdot 10^{-302}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{-231}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot t_3\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{+72}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2
         (*
          y2
          (+
           (+ (* k t_1) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4))))))
        (t_3 (- (* a b) (* c i)))
        (t_4
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_5 (* i (* y1 (- (* x j) (* z k))))))
   (if (<= y2 -1.7e+210)
     t_2
     (if (<= y2 -7.8e+135)
       t_4
       (if (<= y2 -1100.0)
         (+ (* (- (* k y2) (* j y3)) t_1) (* i (* k (* y y5))))
         (if (<= y2 -8e-71)
           t_5
           (if (<= y2 -2.4e-127)
             (* y (* x t_3))
             (if (<= y2 -3.8e-272)
               t_5
               (if (<= y2 -2.22e-302)
                 (* y (* y3 (- (* c y4) (* a y5))))
                 (if (<= y2 1.25e-231)
                   (* x (- (+ (* c (* y0 y2)) (* y t_3)) (* b (* j y0))))
                   (if (<= y2 1.3e+72) t_4 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 = (y1 * y4) - (y0 * y5);
	double t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_3 = (a * b) - (c * i);
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_5 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y2 <= -1.7e+210) {
		tmp = t_2;
	} else if (y2 <= -7.8e+135) {
		tmp = t_4;
	} else if (y2 <= -1100.0) {
		tmp = (((k * y2) - (j * y3)) * t_1) + (i * (k * (y * y5)));
	} else if (y2 <= -8e-71) {
		tmp = t_5;
	} else if (y2 <= -2.4e-127) {
		tmp = y * (x * t_3);
	} else if (y2 <= -3.8e-272) {
		tmp = t_5;
	} else if (y2 <= -2.22e-302) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y2 <= 1.25e-231) {
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)));
	} else if (y2 <= 1.3e+72) {
		tmp = t_4;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    t_3 = (a * b) - (c * i)
    t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_5 = i * (y1 * ((x * j) - (z * k)))
    if (y2 <= (-1.7d+210)) then
        tmp = t_2
    else if (y2 <= (-7.8d+135)) then
        tmp = t_4
    else if (y2 <= (-1100.0d0)) then
        tmp = (((k * y2) - (j * y3)) * t_1) + (i * (k * (y * y5)))
    else if (y2 <= (-8d-71)) then
        tmp = t_5
    else if (y2 <= (-2.4d-127)) then
        tmp = y * (x * t_3)
    else if (y2 <= (-3.8d-272)) then
        tmp = t_5
    else if (y2 <= (-2.22d-302)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y2 <= 1.25d-231) then
        tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)))
    else if (y2 <= 1.3d+72) then
        tmp = t_4
    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 = (y1 * y4) - (y0 * y5);
	double t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_3 = (a * b) - (c * i);
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_5 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y2 <= -1.7e+210) {
		tmp = t_2;
	} else if (y2 <= -7.8e+135) {
		tmp = t_4;
	} else if (y2 <= -1100.0) {
		tmp = (((k * y2) - (j * y3)) * t_1) + (i * (k * (y * y5)));
	} else if (y2 <= -8e-71) {
		tmp = t_5;
	} else if (y2 <= -2.4e-127) {
		tmp = y * (x * t_3);
	} else if (y2 <= -3.8e-272) {
		tmp = t_5;
	} else if (y2 <= -2.22e-302) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y2 <= 1.25e-231) {
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)));
	} else if (y2 <= 1.3e+72) {
		tmp = t_4;
	} 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 = (y1 * y4) - (y0 * y5)
	t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	t_3 = (a * b) - (c * i)
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_5 = i * (y1 * ((x * j) - (z * k)))
	tmp = 0
	if y2 <= -1.7e+210:
		tmp = t_2
	elif y2 <= -7.8e+135:
		tmp = t_4
	elif y2 <= -1100.0:
		tmp = (((k * y2) - (j * y3)) * t_1) + (i * (k * (y * y5)))
	elif y2 <= -8e-71:
		tmp = t_5
	elif y2 <= -2.4e-127:
		tmp = y * (x * t_3)
	elif y2 <= -3.8e-272:
		tmp = t_5
	elif y2 <= -2.22e-302:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y2 <= 1.25e-231:
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)))
	elif y2 <= 1.3e+72:
		tmp = t_4
	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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	t_3 = Float64(Float64(a * b) - Float64(c * i))
	t_4 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_5 = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))))
	tmp = 0.0
	if (y2 <= -1.7e+210)
		tmp = t_2;
	elseif (y2 <= -7.8e+135)
		tmp = t_4;
	elseif (y2 <= -1100.0)
		tmp = Float64(Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_1) + Float64(i * Float64(k * Float64(y * y5))));
	elseif (y2 <= -8e-71)
		tmp = t_5;
	elseif (y2 <= -2.4e-127)
		tmp = Float64(y * Float64(x * t_3));
	elseif (y2 <= -3.8e-272)
		tmp = t_5;
	elseif (y2 <= -2.22e-302)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y2 <= 1.25e-231)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * t_3)) - Float64(b * Float64(j * y0))));
	elseif (y2 <= 1.3e+72)
		tmp = t_4;
	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 = (y1 * y4) - (y0 * y5);
	t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	t_3 = (a * b) - (c * i);
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_5 = i * (y1 * ((x * j) - (z * k)));
	tmp = 0.0;
	if (y2 <= -1.7e+210)
		tmp = t_2;
	elseif (y2 <= -7.8e+135)
		tmp = t_4;
	elseif (y2 <= -1100.0)
		tmp = (((k * y2) - (j * y3)) * t_1) + (i * (k * (y * y5)));
	elseif (y2 <= -8e-71)
		tmp = t_5;
	elseif (y2 <= -2.4e-127)
		tmp = y * (x * t_3);
	elseif (y2 <= -3.8e-272)
		tmp = t_5;
	elseif (y2 <= -2.22e-302)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y2 <= 1.25e-231)
		tmp = x * (((c * (y0 * y2)) + (y * t_3)) - (b * (j * y0)));
	elseif (y2 <= 1.3e+72)
		tmp = t_4;
	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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.7e+210], t$95$2, If[LessEqual[y2, -7.8e+135], t$95$4, If[LessEqual[y2, -1100.0], N[(N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision] + N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8e-71], t$95$5, If[LessEqual[y2, -2.4e-127], N[(y * N[(x * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.8e-272], t$95$5, If[LessEqual[y2, -2.22e-302], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.25e-231], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * t$95$3), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.3e+72], t$95$4, t$95$2]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -1.70000000000000012e210 or 1.29999999999999991e72 < y2

   1. Initial program 19.8%

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

   2. Taylor expanded in y2 around inf 67.8%

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

   if -1.70000000000000012e210 < y2 < -7.80000000000000064e135 or 1.25000000000000006e-231 < y2 < 1.29999999999999991e72

   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 j around inf 59.0%

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

      1. +-commutative 59.0%

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

      2. mul-1-neg 59.0%

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

      3. unsub-neg 59.0%

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

      4. *-commutative 59.0%

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

   4. Simplified 59.0%

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

   if -7.80000000000000064e135 < y2 < -1100

   1. Initial program 34.3%

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

   2. Taylor expanded in y5 around inf 52.8%

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

      1. distribute-lft-out-- 52.8%

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

      2. *-commutative 52.8%

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

      3. *-commutative 52.8%

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

   4. Simplified 52.8%

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

   5. Taylor expanded in k around inf 50.2%

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

      1. *-commutative 50.2%

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

   7. Simplified 50.2%

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

   if -1100 < y2 < -7.9999999999999993e-71 or -2.39999999999999982e-127 < y2 < -3.7999999999999997e-272

   1. Initial program 32.7%

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

   2. Taylor expanded in y1 around inf 57.3%

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

      1. associate--l+ 57.3%

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

      2. mul-1-neg 57.3%

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

      3. distribute-rgt-neg-in 57.3%

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

      4. *-commutative 57.3%

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

      5. *-commutative 57.3%

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

      6. fma-neg 60.0%

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

      7. fma-neg 60.0%

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

      8. *-commutative 60.0%

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

      9. distribute-rgt-neg-in 60.0%

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

      10. mul-1-neg 60.0%

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

      11. remove-double-neg 60.0%

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

      12. *-commutative 60.0%

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

   4. Simplified 60.0%

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

   5. Taylor expanded in i around inf 55.0%

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

   if -7.9999999999999993e-71 < y2 < -2.39999999999999982e-127

   1. Initial program 0.8%

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

   2. Taylor expanded in y1 around 0 0.8%

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

   3. Taylor expanded in y around inf 40.8%

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

   4. Taylor expanded in x around inf 60.6%

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

   if -3.7999999999999997e-272 < y2 < -2.2199999999999999e-302

   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 y1 around 0 14.3%

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

   3. Taylor expanded in y around inf 57.1%

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

   4. Taylor expanded in y3 around inf 85.7%

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

   if -2.2199999999999999e-302 < y2 < 1.25000000000000006e-231

   1. Initial program 33.0%

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

   2. Taylor expanded in y1 around 0 23.0%

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

   3. Taylor expanded in x around inf 58.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 60.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.7 \cdot 10^{+210}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -7.8 \cdot 10^{+135}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -1100:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -8 \cdot 10^{-71}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -2.4 \cdot 10^{-127}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -3.8 \cdot 10^{-272}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -2.22 \cdot 10^{-302}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{-231}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{+72}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]

Alternative 8: 36.8% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := y0 \cdot y5 - y1 \cdot y4\\ t_3 := c \cdot y4 - a \cdot y5\\ t_4 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;a \leq -9.5 \cdot 10^{+202}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot t_1\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;a \leq -8.4 \cdot 10^{+99}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.35:\\ \;\;\;\;y3 \cdot \left(y \cdot t_3 + \left(j \cdot t_2 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-107}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-243}:\\ \;\;\;\;y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + y3 \cdot t_3\right)\\ \mathbf{elif}\;a \leq 1.26 \cdot 10^{-191}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{-95}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot t_1\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{+66}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot t_2\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{+239}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (- (* y0 y5) (* y1 y4)))
        (t_3 (- (* c y4) (* a y5)))
        (t_4
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= a -9.5e+202)
     (*
      y1
      (+ (+ (* a (- (* z y3) (* x y2))) (* y4 t_1)) (* i (- (* x j) (* z k)))))
     (if (<= a -8.4e+99)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= a -3.35)
         (* y3 (+ (* y t_3) (+ (* j t_2) (* z (- (* a y1) (* c y0))))))
         (if (<= a -3.2e-107)
           t_4
           (if (<= a -8.2e-243)
             (*
              y
              (+
               (+ (* x (- (* a b) (* c i))) (* k (- (* i y5) (* b y4))))
               (* y3 t_3)))
             (if (<= a 1.26e-191)
               t_4
               (if (<= a 1.3e-95)
                 (*
                  y4
                  (+
                   (+ (* b (- (* t j) (* y k))) (* y1 t_1))
                   (* c (- (* y y3) (* t y2)))))
                 (if (<= a 1.4e+66)
                   (*
                    j
                    (+
                     (+ (* t (- (* b y4) (* i y5))) (* y3 t_2))
                     (* x (- (* i y1) (* b y0)))))
                   (if (<= a 2.05e+239)
                     t_4
                     (* (* 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 = (k * y2) - (j * y3);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (a <= -9.5e+202) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_1)) + (i * ((x * j) - (z * k))));
	} else if (a <= -8.4e+99) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -3.35) {
		tmp = y3 * ((y * t_3) + ((j * t_2) + (z * ((a * y1) - (c * y0)))));
	} else if (a <= -3.2e-107) {
		tmp = t_4;
	} else if (a <= -8.2e-243) {
		tmp = y * (((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))) + (y3 * t_3));
	} else if (a <= 1.26e-191) {
		tmp = t_4;
	} else if (a <= 1.3e-95) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (a <= 1.4e+66) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))));
	} else if (a <= 2.05e+239) {
		tmp = t_4;
	} 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) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (k * y2) - (j * y3)
    t_2 = (y0 * y5) - (y1 * y4)
    t_3 = (c * y4) - (a * y5)
    t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    if (a <= (-9.5d+202)) then
        tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_1)) + (i * ((x * j) - (z * k))))
    else if (a <= (-8.4d+99)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (a <= (-3.35d0)) then
        tmp = y3 * ((y * t_3) + ((j * t_2) + (z * ((a * y1) - (c * y0)))))
    else if (a <= (-3.2d-107)) then
        tmp = t_4
    else if (a <= (-8.2d-243)) then
        tmp = y * (((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))) + (y3 * t_3))
    else if (a <= 1.26d-191) then
        tmp = t_4
    else if (a <= 1.3d-95) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
    else if (a <= 1.4d+66) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))))
    else if (a <= 2.05d+239) then
        tmp = t_4
    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 = (k * y2) - (j * y3);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (a <= -9.5e+202) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_1)) + (i * ((x * j) - (z * k))));
	} else if (a <= -8.4e+99) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -3.35) {
		tmp = y3 * ((y * t_3) + ((j * t_2) + (z * ((a * y1) - (c * y0)))));
	} else if (a <= -3.2e-107) {
		tmp = t_4;
	} else if (a <= -8.2e-243) {
		tmp = y * (((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))) + (y3 * t_3));
	} else if (a <= 1.26e-191) {
		tmp = t_4;
	} else if (a <= 1.3e-95) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (a <= 1.4e+66) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))));
	} else if (a <= 2.05e+239) {
		tmp = t_4;
	} 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 = (k * y2) - (j * y3)
	t_2 = (y0 * y5) - (y1 * y4)
	t_3 = (c * y4) - (a * y5)
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if a <= -9.5e+202:
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_1)) + (i * ((x * j) - (z * k))))
	elif a <= -8.4e+99:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif a <= -3.35:
		tmp = y3 * ((y * t_3) + ((j * t_2) + (z * ((a * y1) - (c * y0)))))
	elif a <= -3.2e-107:
		tmp = t_4
	elif a <= -8.2e-243:
		tmp = y * (((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))) + (y3 * t_3))
	elif a <= 1.26e-191:
		tmp = t_4
	elif a <= 1.3e-95:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
	elif a <= 1.4e+66:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))))
	elif a <= 2.05e+239:
		tmp = t_4
	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(k * y2) - Float64(j * y3))
	t_2 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_3 = Float64(Float64(c * y4) - Float64(a * y5))
	t_4 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (a <= -9.5e+202)
		tmp = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * t_1)) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (a <= -8.4e+99)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (a <= -3.35)
		tmp = Float64(y3 * Float64(Float64(y * t_3) + Float64(Float64(j * t_2) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	elseif (a <= -3.2e-107)
		tmp = t_4;
	elseif (a <= -8.2e-243)
		tmp = Float64(y * Float64(Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))) + Float64(y3 * t_3)));
	elseif (a <= 1.26e-191)
		tmp = t_4;
	elseif (a <= 1.3e-95)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * t_1)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (a <= 1.4e+66)
		tmp = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * t_2)) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (a <= 2.05e+239)
		tmp = t_4;
	else
		tmp = Float64(Float64(y * 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 = (k * y2) - (j * y3);
	t_2 = (y0 * y5) - (y1 * y4);
	t_3 = (c * y4) - (a * y5);
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (a <= -9.5e+202)
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_1)) + (i * ((x * j) - (z * k))));
	elseif (a <= -8.4e+99)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (a <= -3.35)
		tmp = y3 * ((y * t_3) + ((j * t_2) + (z * ((a * y1) - (c * y0)))));
	elseif (a <= -3.2e-107)
		tmp = t_4;
	elseif (a <= -8.2e-243)
		tmp = y * (((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))) + (y3 * t_3));
	elseif (a <= 1.26e-191)
		tmp = t_4;
	elseif (a <= 1.3e-95)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	elseif (a <= 1.4e+66)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))));
	elseif (a <= 2.05e+239)
		tmp = t_4;
	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[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -9.5e+202], N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8.4e+99], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.35], N[(y3 * N[(N[(y * t$95$3), $MachinePrecision] + N[(N[(j * t$95$2), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.2e-107], t$95$4, If[LessEqual[a, -8.2e-243], N[(y * N[(N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.26e-191], t$95$4, If[LessEqual[a, 1.3e-95], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.4e+66], N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.05e+239], t$95$4, N[(N[(y * a), $MachinePrecision] * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if a < -9.50000000000000059e202

   1. Initial program 12.5%

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

   2. Taylor expanded in y1 around inf 66.7%

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

   if -9.50000000000000059e202 < a < -8.40000000000000041e99

   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 j around inf 57.5%

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

      1. +-commutative 57.5%

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

      2. mul-1-neg 57.5%

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

      3. unsub-neg 57.5%

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

      4. *-commutative 57.5%

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

   4. Simplified 57.5%

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

   5. Taylor expanded in b around inf 57.7%

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

   if -8.40000000000000041e99 < a < -3.35000000000000009

   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 y3 around -inf 58.2%

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

   if -3.35000000000000009 < a < -3.20000000000000013e-107 or -8.19999999999999962e-243 < a < 1.26e-191 or 1.4e66 < a < 2.0500000000000001e239

   1. Initial program 34.5%

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

   2. Taylor expanded in y2 around inf 62.0%

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

   if -3.20000000000000013e-107 < a < -8.19999999999999962e-243

   1. Initial program 22.3%

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

   2. Taylor expanded in y1 around 0 22.7%

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

   3. Taylor expanded in y around inf 61.3%

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

   if 1.26e-191 < a < 1.3e-95

   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 y4 around inf 71.0%

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

   if 1.3e-95 < a < 1.4e66

   1. Initial program 39.9%

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

   2. Taylor expanded in j around inf 61.3%

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

      1. +-commutative 61.3%

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

      2. mul-1-neg 61.3%

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

      3. unsub-neg 61.3%

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

      4. *-commutative 61.3%

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

   4. Simplified 61.3%

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

   if 2.0500000000000001e239 < a

   1. Initial program 16.7%

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

   2. Taylor expanded in y1 around 0 22.5%

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

   3. Taylor expanded in a around inf 50.9%

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

      1. *-commutative 50.9%

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

      2. mul-1-neg 50.9%

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

      3. *-commutative 50.9%

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

      4. *-commutative 50.9%

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

   5. Simplified 50.9%

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

   6. Taylor expanded in y around inf 56.7%

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

      1. associate-*r* 61.5%

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

      2. +-commutative 61.5%

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

      3. mul-1-neg 61.5%

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

      4. unsub-neg 61.5%

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

      5. *-commutative 61.5%

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

   8. Simplified 61.5%

      \[\leadsto \color{blue}{\left(a \cdot y\right) \cdot \left(x \cdot b - y3 \cdot y5\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 62.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -9.5 \cdot 10^{+202}:\\ \;\;\;\;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}\;a \leq -8.4 \cdot 10^{+99}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.35:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-107}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-243}:\\ \;\;\;\;y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 1.26 \cdot 10^{-191}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{-95}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{+66}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{+239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \end{array} \]

Alternative 9: 31.8% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ t_2 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_3 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_4 := y0 \cdot \left(z \cdot \left(b \cdot k - c \cdot y3\right)\right)\\ \mathbf{if}\;x \leq -4 \cdot 10^{+202}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -8 \cdot 10^{+134}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.15 \cdot 10^{+86}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;x \leq -3.9 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-15}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-78}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.36 \cdot 10^{-151}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-201}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -1.76 \cdot 10^{-273}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-245}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-176}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-141}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 3.4 \cdot 10^{-106}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 54000000:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y1 (- (* i j) (* a y2)))))
        (t_2 (* y (* x (- (* a b) (* c i)))))
        (t_3 (* a (+ (* b (- (* x y) (* z t))) (* y5 (- (* t y2) (* y y3))))))
        (t_4 (* y0 (* z (- (* b k) (* c y3))))))
   (if (<= x -4e+202)
     t_2
     (if (<= x -8e+134)
       t_1
       (if (<= x -2.15e+86)
         (* (* y y5) (- (* i k) (* a y3)))
         (if (<= x -3.9e+52)
           t_1
           (if (<= x -2.6e-15)
             t_4
             (if (<= x -1.6e-78)
               (* k (* y0 (- (* z b) (* y2 y5))))
               (if (<= x -1.36e-151)
                 (* y (* k (- (* i y5) (* b y4))))
                 (if (<= x -2.2e-201)
                   (* j (* y0 (- (* y3 y5) (* x b))))
                   (if (<= x -1.76e-273)
                     t_4
                     (if (<= x 5.6e-245)
                       (* j (* t (- (* b y4) (* i y5))))
                       (if (<= x 1.2e-176)
                         t_3
                         (if (<= x 3.3e-141)
                           (*
                            y4
                            (+
                             (* b (- (* t j) (* y k)))
                             (* c (- (* y y3) (* t y2)))))
                           (if (<= x 3.4e-106)
                             t_3
                             (if (<= x 54000000.0)
                               (* i (* y1 (- (* x j) (* z k))))
                               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 = x * (y1 * ((i * j) - (a * y2)));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double t_3 = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	double t_4 = y0 * (z * ((b * k) - (c * y3)));
	double tmp;
	if (x <= -4e+202) {
		tmp = t_2;
	} else if (x <= -8e+134) {
		tmp = t_1;
	} else if (x <= -2.15e+86) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (x <= -3.9e+52) {
		tmp = t_1;
	} else if (x <= -2.6e-15) {
		tmp = t_4;
	} else if (x <= -1.6e-78) {
		tmp = k * (y0 * ((z * b) - (y2 * y5)));
	} else if (x <= -1.36e-151) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (x <= -2.2e-201) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (x <= -1.76e-273) {
		tmp = t_4;
	} else if (x <= 5.6e-245) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (x <= 1.2e-176) {
		tmp = t_3;
	} else if (x <= 3.3e-141) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 3.4e-106) {
		tmp = t_3;
	} else if (x <= 54000000.0) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = x * (y1 * ((i * j) - (a * y2)))
    t_2 = y * (x * ((a * b) - (c * i)))
    t_3 = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    t_4 = y0 * (z * ((b * k) - (c * y3)))
    if (x <= (-4d+202)) then
        tmp = t_2
    else if (x <= (-8d+134)) then
        tmp = t_1
    else if (x <= (-2.15d+86)) then
        tmp = (y * y5) * ((i * k) - (a * y3))
    else if (x <= (-3.9d+52)) then
        tmp = t_1
    else if (x <= (-2.6d-15)) then
        tmp = t_4
    else if (x <= (-1.6d-78)) then
        tmp = k * (y0 * ((z * b) - (y2 * y5)))
    else if (x <= (-1.36d-151)) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else if (x <= (-2.2d-201)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (x <= (-1.76d-273)) then
        tmp = t_4
    else if (x <= 5.6d-245) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (x <= 1.2d-176) then
        tmp = t_3
    else if (x <= 3.3d-141) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (x <= 3.4d-106) then
        tmp = t_3
    else if (x <= 54000000.0d0) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    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 = x * (y1 * ((i * j) - (a * y2)));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double t_3 = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	double t_4 = y0 * (z * ((b * k) - (c * y3)));
	double tmp;
	if (x <= -4e+202) {
		tmp = t_2;
	} else if (x <= -8e+134) {
		tmp = t_1;
	} else if (x <= -2.15e+86) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (x <= -3.9e+52) {
		tmp = t_1;
	} else if (x <= -2.6e-15) {
		tmp = t_4;
	} else if (x <= -1.6e-78) {
		tmp = k * (y0 * ((z * b) - (y2 * y5)));
	} else if (x <= -1.36e-151) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (x <= -2.2e-201) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (x <= -1.76e-273) {
		tmp = t_4;
	} else if (x <= 5.6e-245) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (x <= 1.2e-176) {
		tmp = t_3;
	} else if (x <= 3.3e-141) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 3.4e-106) {
		tmp = t_3;
	} else if (x <= 54000000.0) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} 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 = x * (y1 * ((i * j) - (a * y2)))
	t_2 = y * (x * ((a * b) - (c * i)))
	t_3 = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	t_4 = y0 * (z * ((b * k) - (c * y3)))
	tmp = 0
	if x <= -4e+202:
		tmp = t_2
	elif x <= -8e+134:
		tmp = t_1
	elif x <= -2.15e+86:
		tmp = (y * y5) * ((i * k) - (a * y3))
	elif x <= -3.9e+52:
		tmp = t_1
	elif x <= -2.6e-15:
		tmp = t_4
	elif x <= -1.6e-78:
		tmp = k * (y0 * ((z * b) - (y2 * y5)))
	elif x <= -1.36e-151:
		tmp = y * (k * ((i * y5) - (b * y4)))
	elif x <= -2.2e-201:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif x <= -1.76e-273:
		tmp = t_4
	elif x <= 5.6e-245:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif x <= 1.2e-176:
		tmp = t_3
	elif x <= 3.3e-141:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif x <= 3.4e-106:
		tmp = t_3
	elif x <= 54000000.0:
		tmp = i * (y1 * ((x * j) - (z * k)))
	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(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))))
	t_2 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	t_3 = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))))
	t_4 = Float64(y0 * Float64(z * Float64(Float64(b * k) - Float64(c * y3))))
	tmp = 0.0
	if (x <= -4e+202)
		tmp = t_2;
	elseif (x <= -8e+134)
		tmp = t_1;
	elseif (x <= -2.15e+86)
		tmp = Float64(Float64(y * y5) * Float64(Float64(i * k) - Float64(a * y3)));
	elseif (x <= -3.9e+52)
		tmp = t_1;
	elseif (x <= -2.6e-15)
		tmp = t_4;
	elseif (x <= -1.6e-78)
		tmp = Float64(k * Float64(y0 * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (x <= -1.36e-151)
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (x <= -2.2e-201)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (x <= -1.76e-273)
		tmp = t_4;
	elseif (x <= 5.6e-245)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (x <= 1.2e-176)
		tmp = t_3;
	elseif (x <= 3.3e-141)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (x <= 3.4e-106)
		tmp = t_3;
	elseif (x <= 54000000.0)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	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 = x * (y1 * ((i * j) - (a * y2)));
	t_2 = y * (x * ((a * b) - (c * i)));
	t_3 = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	t_4 = y0 * (z * ((b * k) - (c * y3)));
	tmp = 0.0;
	if (x <= -4e+202)
		tmp = t_2;
	elseif (x <= -8e+134)
		tmp = t_1;
	elseif (x <= -2.15e+86)
		tmp = (y * y5) * ((i * k) - (a * y3));
	elseif (x <= -3.9e+52)
		tmp = t_1;
	elseif (x <= -2.6e-15)
		tmp = t_4;
	elseif (x <= -1.6e-78)
		tmp = k * (y0 * ((z * b) - (y2 * y5)));
	elseif (x <= -1.36e-151)
		tmp = y * (k * ((i * y5) - (b * y4)));
	elseif (x <= -2.2e-201)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (x <= -1.76e-273)
		tmp = t_4;
	elseif (x <= 5.6e-245)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (x <= 1.2e-176)
		tmp = t_3;
	elseif (x <= 3.3e-141)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (x <= 3.4e-106)
		tmp = t_3;
	elseif (x <= 54000000.0)
		tmp = i * (y1 * ((x * j) - (z * k)));
	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[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * N[(z * N[(N[(b * k), $MachinePrecision] - N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -4e+202], t$95$2, If[LessEqual[x, -8e+134], t$95$1, If[LessEqual[x, -2.15e+86], N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.9e+52], t$95$1, If[LessEqual[x, -2.6e-15], t$95$4, If[LessEqual[x, -1.6e-78], N[(k * N[(y0 * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.36e-151], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.2e-201], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.76e-273], t$95$4, If[LessEqual[x, 5.6e-245], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.2e-176], t$95$3, If[LessEqual[x, 3.3e-141], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.4e-106], t$95$3, If[LessEqual[x, 54000000.0], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if x < -3.9999999999999996e202 or 5.4e7 < x

   1. Initial program 21.2%

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

   2. Taylor expanded in y1 around 0 18.8%

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

   3. Taylor expanded in y around inf 39.9%

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

   4. Taylor expanded in x around inf 57.3%

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

   if -3.9999999999999996e202 < x < -7.99999999999999937e134 or -2.1500000000000001e86 < x < -3.9e52

   1. Initial program 28.0%

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

   2. Taylor expanded in y1 around inf 52.6%

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

      1. associate--l+ 52.6%

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

      2. mul-1-neg 52.6%

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

      3. distribute-rgt-neg-in 52.6%

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

      4. *-commutative 52.6%

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

      5. *-commutative 52.6%

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

      6. fma-neg 60.6%

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

      7. fma-neg 60.6%

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

      8. *-commutative 60.6%

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

      9. distribute-rgt-neg-in 60.6%

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

      10. mul-1-neg 60.6%

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

      11. remove-double-neg 60.6%

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

      12. *-commutative 60.6%

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

   4. Simplified 60.6%

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

   5. Taylor expanded in x around inf 61.3%

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

   if -7.99999999999999937e134 < x < -2.1500000000000001e86

   1. Initial program 15.8%

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

   2. Taylor expanded in y5 around inf 61.9%

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

      1. distribute-lft-out-- 61.9%

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

      2. *-commutative 61.9%

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

      3. *-commutative 61.9%

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

   4. Simplified 61.9%

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

   5. Taylor expanded in y around -inf 54.5%

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

      1. associate-*r* 57.6%

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

      2. *-commutative 57.6%

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

      3. *-commutative 57.6%

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

      4. *-commutative 57.6%

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

   7. Simplified 57.6%

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

   if -3.9e52 < x < -2.60000000000000004e-15 or -2.2e-201 < x < -1.75999999999999996e-273

   1. Initial program 26.3%

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

   2. Taylor expanded in y0 around inf 57.9%

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

   3. Taylor expanded in z around -inf 64.3%

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

      1. mul-1-neg 64.3%

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

      2. *-commutative 64.3%

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

      3. *-commutative 64.3%

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

   5. Simplified 64.3%

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

   if -2.60000000000000004e-15 < x < -1.6e-78

   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 y0 around inf 61.7%

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

   3. Taylor expanded in k around -inf 46.3%

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

   if -1.6e-78 < x < -1.35999999999999994e-151

   1. Initial program 53.2%

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

   2. Taylor expanded in y1 around 0 39.9%

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

   3. Taylor expanded in y around inf 40.2%

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

   4. Taylor expanded in k around inf 60.9%

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

      1. mul-1-neg 60.9%

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

      2. cancel-sign-sub-inv 60.9%

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

      3. fma-udef 60.9%

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

      4. distribute-rgt-neg-in 60.9%

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

      5. fma-udef 60.9%

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

      6. cancel-sign-sub-inv 60.9%

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

   6. Simplified 60.9%

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

   if -1.35999999999999994e-151 < x < -2.2e-201

   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 j around inf 83.3%

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

      1. +-commutative 83.3%

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

      2. mul-1-neg 83.3%

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

      3. unsub-neg 83.3%

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

      4. *-commutative 83.3%

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

   4. Simplified 83.3%

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

   5. Taylor expanded in y0 around -inf 83.8%

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

      1. +-commutative 83.8%

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

      2. mul-1-neg 83.8%

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

      3. sub-neg 83.8%

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

      4. *-commutative 83.8%

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

   7. Simplified 83.8%

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

   if -1.75999999999999996e-273 < x < 5.6000000000000003e-245

   1. Initial program 32.3%

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

   2. Taylor expanded in j around inf 36.9%

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

      1. +-commutative 36.9%

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

      2. mul-1-neg 36.9%

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

      3. unsub-neg 36.9%

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

      4. *-commutative 36.9%

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

   4. Simplified 36.9%

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

   5. Taylor expanded in t around inf 49.6%

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

      1. *-commutative 49.6%

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

   7. Simplified 49.6%

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

   if 5.6000000000000003e-245 < x < 1.20000000000000003e-176 or 3.29999999999999999e-141 < x < 3.39999999999999982e-106

   1. Initial program 31.0%

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

   2. Taylor expanded in y1 around 0 20.8%

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

   3. Taylor expanded in a around inf 72.9%

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

      1. *-commutative 72.9%

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

      2. mul-1-neg 72.9%

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

      3. *-commutative 72.9%

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

      4. *-commutative 72.9%

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

   5. Simplified 72.9%

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

   if 1.20000000000000003e-176 < x < 3.29999999999999999e-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 y1 around 0 14.6%

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

   3. Taylor expanded in y4 around inf 77.0%

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

      1. *-commutative 77.0%

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

      2. *-commutative 77.0%

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

   5. Simplified 77.0%

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

   if 3.39999999999999982e-106 < x < 5.4e7

   1. Initial program 26.2%

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

   2. Taylor expanded in y1 around inf 52.8%

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

      1. associate--l+ 52.8%

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

      2. mul-1-neg 52.8%

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

      3. distribute-rgt-neg-in 52.8%

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

      4. *-commutative 52.8%

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

      5. *-commutative 52.8%

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

      6. fma-neg 52.8%

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

      7. fma-neg 52.8%

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

      8. *-commutative 52.8%

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

      9. distribute-rgt-neg-in 52.8%

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

      10. mul-1-neg 52.8%

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

      11. remove-double-neg 52.8%

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

      12. *-commutative 52.8%

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

   4. Simplified 52.8%

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

   5. Taylor expanded in i around inf 53.3%

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

4. Final simplification 59.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4 \cdot 10^{+202}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -8 \cdot 10^{+134}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -2.15 \cdot 10^{+86}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;x \leq -3.9 \cdot 10^{+52}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-15}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(b \cdot k - c \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-78}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.36 \cdot 10^{-151}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-201}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -1.76 \cdot 10^{-273}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(b \cdot k - c \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-245}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-176}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-141}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 3.4 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 54000000:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 10: 36.3% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;k \leq -4.9 \cdot 10^{+67}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-228}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;k \leq 1.5 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 5.8 \cdot 10^{-145}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{+36}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 5.5 \cdot 10^{+94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 2.3 \cdot 10^{+146}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+243}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))))
   (if (<= k -4.9e+67)
     (+ (* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5))) (* i (* k (* y y5))))
     (if (<= k -1.4e-179)
       t_1
       (if (<= k -2.8e-228)
         (* (* y a) (- (* x b) (* y3 y5)))
         (if (<= k 1.5e-305)
           (* c (* z (- (* t i) (* y0 y3))))
           (if (<= k 1.95e-187)
             (* x (* y1 (- (* i j) (* a y2))))
             (if (<= k 5.8e-145)
               t_1
               (if (<= k 1.1e-141)
                 (* a (* (* x y) b))
                 (if (<= k 8.4e+36)
                   (*
                    x
                    (-
                     (+ (* c (* y0 y2)) (* y (- (* a b) (* c i))))
                     (* b (* j y0))))
                   (if (<= k 5.5e+94)
                     t_1
                     (if (<= k 2.3e+146)
                       (* i (* y1 (- (* x j) (* z k))))
                       (if (<= k 6.5e+243)
                         (*
                          i
                          (-
                           (* y5 (- (* y k) (* t j)))
                           (* c (- (* x y) (* z t)))))
                         (*
                          k
                          (+
                           (* b (* z y0))
                           (-
                            (* y (- (* i y5) (* b y4)))
                            (* y0 (* y2 y5))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (k <= -4.9e+67) {
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)));
	} else if (k <= -1.4e-179) {
		tmp = t_1;
	} else if (k <= -2.8e-228) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (k <= 1.5e-305) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (k <= 1.95e-187) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (k <= 5.8e-145) {
		tmp = t_1;
	} else if (k <= 1.1e-141) {
		tmp = a * ((x * y) * b);
	} else if (k <= 8.4e+36) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (k <= 5.5e+94) {
		tmp = t_1;
	} else if (k <= 2.3e+146) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 6.5e+243) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))));
	} else {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    if (k <= (-4.9d+67)) then
        tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)))
    else if (k <= (-1.4d-179)) then
        tmp = t_1
    else if (k <= (-2.8d-228)) then
        tmp = (y * a) * ((x * b) - (y3 * y5))
    else if (k <= 1.5d-305) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (k <= 1.95d-187) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (k <= 5.8d-145) then
        tmp = t_1
    else if (k <= 1.1d-141) then
        tmp = a * ((x * y) * b)
    else if (k <= 8.4d+36) then
        tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
    else if (k <= 5.5d+94) then
        tmp = t_1
    else if (k <= 2.3d+146) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (k <= 6.5d+243) then
        tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))))
    else
        tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (k <= -4.9e+67) {
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)));
	} else if (k <= -1.4e-179) {
		tmp = t_1;
	} else if (k <= -2.8e-228) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (k <= 1.5e-305) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (k <= 1.95e-187) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (k <= 5.8e-145) {
		tmp = t_1;
	} else if (k <= 1.1e-141) {
		tmp = a * ((x * y) * b);
	} else if (k <= 8.4e+36) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (k <= 5.5e+94) {
		tmp = t_1;
	} else if (k <= 2.3e+146) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 6.5e+243) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))));
	} else {
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if k <= -4.9e+67:
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)))
	elif k <= -1.4e-179:
		tmp = t_1
	elif k <= -2.8e-228:
		tmp = (y * a) * ((x * b) - (y3 * y5))
	elif k <= 1.5e-305:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif k <= 1.95e-187:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif k <= 5.8e-145:
		tmp = t_1
	elif k <= 1.1e-141:
		tmp = a * ((x * y) * b)
	elif k <= 8.4e+36:
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
	elif k <= 5.5e+94:
		tmp = t_1
	elif k <= 2.3e+146:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif k <= 6.5e+243:
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))))
	else:
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (k <= -4.9e+67)
		tmp = Float64(Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(i * Float64(k * Float64(y * y5))));
	elseif (k <= -1.4e-179)
		tmp = t_1;
	elseif (k <= -2.8e-228)
		tmp = Float64(Float64(y * a) * Float64(Float64(x * b) - Float64(y3 * y5)));
	elseif (k <= 1.5e-305)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (k <= 1.95e-187)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (k <= 5.8e-145)
		tmp = t_1;
	elseif (k <= 1.1e-141)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (k <= 8.4e+36)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * Float64(Float64(a * b) - Float64(c * i)))) - Float64(b * Float64(j * y0))));
	elseif (k <= 5.5e+94)
		tmp = t_1;
	elseif (k <= 2.3e+146)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (k <= 6.5e+243)
		tmp = Float64(i * Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) - Float64(c * Float64(Float64(x * y) - Float64(z * t)))));
	else
		tmp = Float64(k * Float64(Float64(b * Float64(z * y0)) + Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) - Float64(y0 * Float64(y2 * y5)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (k <= -4.9e+67)
		tmp = (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))) + (i * (k * (y * y5)));
	elseif (k <= -1.4e-179)
		tmp = t_1;
	elseif (k <= -2.8e-228)
		tmp = (y * a) * ((x * b) - (y3 * y5));
	elseif (k <= 1.5e-305)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (k <= 1.95e-187)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (k <= 5.8e-145)
		tmp = t_1;
	elseif (k <= 1.1e-141)
		tmp = a * ((x * y) * b);
	elseif (k <= 8.4e+36)
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	elseif (k <= 5.5e+94)
		tmp = t_1;
	elseif (k <= 2.3e+146)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (k <= 6.5e+243)
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))));
	else
		tmp = k * ((b * (z * y0)) + ((y * ((i * y5) - (b * y4))) - (y0 * (y2 * y5))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.9e+67], N[(N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.4e-179], t$95$1, If[LessEqual[k, -2.8e-228], N[(N[(y * a), $MachinePrecision] * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.5e-305], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.95e-187], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.8e-145], t$95$1, If[LessEqual[k, 1.1e-141], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.4e+36], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.5e+94], t$95$1, If[LessEqual[k, 2.3e+146], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.5e+243], N[(i * N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(N[(b * N[(z * y0), $MachinePrecision]), $MachinePrecision] + N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -4.8999999999999999e67

   1. Initial program 28.9%

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

   2. Taylor expanded in y5 around inf 47.0%

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

      1. distribute-lft-out-- 47.0%

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

      2. *-commutative 47.0%

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

      3. *-commutative 47.0%

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

   4. Simplified 47.0%

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

   5. Taylor expanded in k around inf 49.5%

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

      1. *-commutative 49.5%

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

   7. Simplified 49.5%

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

   if -4.8999999999999999e67 < k < -1.4e-179 or 1.9499999999999999e-187 < k < 5.79999999999999968e-145 or 8.40000000000000018e36 < k < 5.4999999999999997e94

   1. Initial program 33.0%

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

   2. Taylor expanded in y1 around 0 28.7%

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

   3. Taylor expanded in y4 around inf 60.8%

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

      1. *-commutative 60.8%

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

      2. *-commutative 60.8%

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

   5. Simplified 60.8%

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

   if -1.4e-179 < k < -2.8000000000000003e-228

   1. Initial program 12.5%

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

   2. Taylor expanded in y1 around 0 18.8%

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

   3. Taylor expanded in a around inf 44.1%

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

      1. *-commutative 44.1%

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

      2. mul-1-neg 44.1%

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

      3. *-commutative 44.1%

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

      4. *-commutative 44.1%

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

   5. Simplified 44.1%

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

   6. Taylor expanded in y around inf 50.6%

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

      1. associate-*r* 56.5%

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

      2. +-commutative 56.5%

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

      3. mul-1-neg 56.5%

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

      4. unsub-neg 56.5%

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

      5. *-commutative 56.5%

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

   8. Simplified 56.5%

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

   if -2.8000000000000003e-228 < k < 1.5000000000000001e-305

   1. Initial program 28.1%

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

   2. Taylor expanded in c around inf 45.0%

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

      1. +-commutative 45.0%

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

      2. mul-1-neg 45.0%

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

      3. unsub-neg 45.0%

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

      4. *-commutative 45.0%

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

      5. *-commutative 45.0%

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

      6. *-commutative 45.0%

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

      7. *-commutative 45.0%

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

   4. Simplified 45.0%

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

   5. Taylor expanded in z around -inf 61.6%

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

      1. mul-1-neg 61.6%

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

      2. *-commutative 61.6%

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

   7. Simplified 61.6%

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

   if 1.5000000000000001e-305 < k < 1.9499999999999999e-187

   1. Initial program 27.9%

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

   2. Taylor expanded in y1 around inf 49.2%

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

      1. associate--l+ 49.2%

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

      2. mul-1-neg 49.2%

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

      3. distribute-rgt-neg-in 49.2%

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

      4. *-commutative 49.2%

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

      5. *-commutative 49.2%

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

      6. fma-neg 49.2%

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

      7. fma-neg 49.2%

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

      8. *-commutative 49.2%

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

      9. distribute-rgt-neg-in 49.2%

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

      10. mul-1-neg 49.2%

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

      11. remove-double-neg 49.2%

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

      12. *-commutative 49.2%

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

   4. Simplified 49.2%

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

   5. Taylor expanded in x around inf 45.9%

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

   if 5.79999999999999968e-145 < k < 1.10000000000000005e-141

   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 y1 around 0 0.0%

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

   3. Taylor expanded in a around inf 0.0%

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

      1. *-commutative 0.0%

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

      2. mul-1-neg 0.0%

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

      3. *-commutative 0.0%

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

      4. *-commutative 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in x around inf 100.0%

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

   if 1.10000000000000005e-141 < k < 8.40000000000000018e36

   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 y1 around 0 27.9%

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

   3. Taylor expanded in x around inf 50.4%

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

   if 5.4999999999999997e94 < k < 2.3e146

   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 y1 around inf 57.7%

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

      1. associate--l+ 57.7%

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

      2. mul-1-neg 57.7%

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

      3. distribute-rgt-neg-in 57.7%

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

      4. *-commutative 57.7%

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

      5. *-commutative 57.7%

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

      6. fma-neg 72.0%

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

      7. fma-neg 72.0%

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

      8. *-commutative 72.0%

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

      9. distribute-rgt-neg-in 72.0%

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

      10. mul-1-neg 72.0%

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

      11. remove-double-neg 72.0%

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

      12. *-commutative 72.0%

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

   4. Simplified 72.0%

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

   5. Taylor expanded in i around inf 57.9%

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

   if 2.3e146 < k < 6.5000000000000001e243

   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 y1 around 0 25.3%

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

   3. Taylor expanded in i around -inf 71.3%

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

   if 6.5000000000000001e243 < k

   1. Initial program 14.3%

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

   2. Taylor expanded in y1 around 0 21.4%

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

   3. Taylor expanded in k around -inf 64.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(\left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y0 \cdot \left(y2 \cdot y5\right)\right) - b \cdot \left(y0 \cdot z\right)\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 56.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.9 \cdot 10^{+67}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-179}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-228}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;k \leq 1.5 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 5.8 \cdot 10^{-145}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{+36}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 5.5 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.3 \cdot 10^{+146}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+243}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right) + \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) - y0 \cdot \left(y2 \cdot y5\right)\right)\right)\\ \end{array} \]

Alternative 11: 35.6% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;k \leq -9 \cdot 10^{+63}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot t_2 + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{-186}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{-229}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;k \leq 2.1 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-189}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-145}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 8.2 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq 1.35 \cdot 10^{+37}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.55 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 4.15 \cdot 10^{+145}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 7 \cdot 10^{+285}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot t_2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2))))))
        (t_2 (- (* y1 y4) (* y0 y5))))
   (if (<= k -9e+63)
     (+ (* (- (* k y2) (* j y3)) t_2) (* i (* k (* y y5))))
     (if (<= k -5.8e-186)
       t_1
       (if (<= k -3.4e-229)
         (* (* y a) (- (* x b) (* y3 y5)))
         (if (<= k 2.1e-305)
           (* c (* z (- (* t i) (* y0 y3))))
           (if (<= k 2.9e-189)
             (* x (* y1 (- (* i j) (* a y2))))
             (if (<= k 2.6e-145)
               t_1
               (if (<= k 8.2e-141)
                 (* a (* (* x y) b))
                 (if (<= k 1.35e+37)
                   (*
                    x
                    (-
                     (+ (* c (* y0 y2)) (* y (- (* a b) (* c i))))
                     (* b (* j y0))))
                   (if (<= k 3.55e+93)
                     t_1
                     (if (<= k 4.15e+145)
                       (* i (* y1 (- (* x j) (* z k))))
                       (if (<= k 7e+285)
                         (*
                          i
                          (-
                           (* y5 (- (* y k) (* t j)))
                           (* c (- (* x y) (* z t)))))
                         (* k (* y2 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 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	double t_2 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (k <= -9e+63) {
		tmp = (((k * y2) - (j * y3)) * t_2) + (i * (k * (y * y5)));
	} else if (k <= -5.8e-186) {
		tmp = t_1;
	} else if (k <= -3.4e-229) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (k <= 2.1e-305) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (k <= 2.9e-189) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (k <= 2.6e-145) {
		tmp = t_1;
	} else if (k <= 8.2e-141) {
		tmp = a * ((x * y) * b);
	} else if (k <= 1.35e+37) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (k <= 3.55e+93) {
		tmp = t_1;
	} else if (k <= 4.15e+145) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 7e+285) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))));
	} else {
		tmp = k * (y2 * t_2);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    t_2 = (y1 * y4) - (y0 * y5)
    if (k <= (-9d+63)) then
        tmp = (((k * y2) - (j * y3)) * t_2) + (i * (k * (y * y5)))
    else if (k <= (-5.8d-186)) then
        tmp = t_1
    else if (k <= (-3.4d-229)) then
        tmp = (y * a) * ((x * b) - (y3 * y5))
    else if (k <= 2.1d-305) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (k <= 2.9d-189) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (k <= 2.6d-145) then
        tmp = t_1
    else if (k <= 8.2d-141) then
        tmp = a * ((x * y) * b)
    else if (k <= 1.35d+37) then
        tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
    else if (k <= 3.55d+93) then
        tmp = t_1
    else if (k <= 4.15d+145) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (k <= 7d+285) then
        tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))))
    else
        tmp = k * (y2 * 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 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	double t_2 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (k <= -9e+63) {
		tmp = (((k * y2) - (j * y3)) * t_2) + (i * (k * (y * y5)));
	} else if (k <= -5.8e-186) {
		tmp = t_1;
	} else if (k <= -3.4e-229) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (k <= 2.1e-305) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (k <= 2.9e-189) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (k <= 2.6e-145) {
		tmp = t_1;
	} else if (k <= 8.2e-141) {
		tmp = a * ((x * y) * b);
	} else if (k <= 1.35e+37) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (k <= 3.55e+93) {
		tmp = t_1;
	} else if (k <= 4.15e+145) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 7e+285) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))));
	} else {
		tmp = k * (y2 * 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 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	t_2 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if k <= -9e+63:
		tmp = (((k * y2) - (j * y3)) * t_2) + (i * (k * (y * y5)))
	elif k <= -5.8e-186:
		tmp = t_1
	elif k <= -3.4e-229:
		tmp = (y * a) * ((x * b) - (y3 * y5))
	elif k <= 2.1e-305:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif k <= 2.9e-189:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif k <= 2.6e-145:
		tmp = t_1
	elif k <= 8.2e-141:
		tmp = a * ((x * y) * b)
	elif k <= 1.35e+37:
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
	elif k <= 3.55e+93:
		tmp = t_1
	elif k <= 4.15e+145:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif k <= 7e+285:
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))))
	else:
		tmp = k * (y2 * 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(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (k <= -9e+63)
		tmp = Float64(Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_2) + Float64(i * Float64(k * Float64(y * y5))));
	elseif (k <= -5.8e-186)
		tmp = t_1;
	elseif (k <= -3.4e-229)
		tmp = Float64(Float64(y * a) * Float64(Float64(x * b) - Float64(y3 * y5)));
	elseif (k <= 2.1e-305)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (k <= 2.9e-189)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (k <= 2.6e-145)
		tmp = t_1;
	elseif (k <= 8.2e-141)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (k <= 1.35e+37)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * Float64(Float64(a * b) - Float64(c * i)))) - Float64(b * Float64(j * y0))));
	elseif (k <= 3.55e+93)
		tmp = t_1;
	elseif (k <= 4.15e+145)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (k <= 7e+285)
		tmp = Float64(i * Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) - Float64(c * Float64(Float64(x * y) - Float64(z * t)))));
	else
		tmp = Float64(k * Float64(y2 * 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 = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	t_2 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (k <= -9e+63)
		tmp = (((k * y2) - (j * y3)) * t_2) + (i * (k * (y * y5)));
	elseif (k <= -5.8e-186)
		tmp = t_1;
	elseif (k <= -3.4e-229)
		tmp = (y * a) * ((x * b) - (y3 * y5));
	elseif (k <= 2.1e-305)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (k <= 2.9e-189)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (k <= 2.6e-145)
		tmp = t_1;
	elseif (k <= 8.2e-141)
		tmp = a * ((x * y) * b);
	elseif (k <= 1.35e+37)
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	elseif (k <= 3.55e+93)
		tmp = t_1;
	elseif (k <= 4.15e+145)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (k <= 7e+285)
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * ((x * y) - (z * t))));
	else
		tmp = k * (y2 * 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[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -9e+63], N[(N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] + N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5.8e-186], t$95$1, If[LessEqual[k, -3.4e-229], N[(N[(y * a), $MachinePrecision] * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.1e-305], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.9e-189], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.6e-145], t$95$1, If[LessEqual[k, 8.2e-141], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.35e+37], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3.55e+93], t$95$1, If[LessEqual[k, 4.15e+145], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 7e+285], N[(i * N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -9.00000000000000034e63

   1. Initial program 28.9%

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

   2. Taylor expanded in y5 around inf 47.0%

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

      1. distribute-lft-out-- 47.0%

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

      2. *-commutative 47.0%

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

      3. *-commutative 47.0%

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

   4. Simplified 47.0%

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

   5. Taylor expanded in k around inf 49.5%

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

      1. *-commutative 49.5%

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

   7. Simplified 49.5%

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

   if -9.00000000000000034e63 < k < -5.80000000000000038e-186 or 2.9e-189 < k < 2.6e-145 or 1.34999999999999993e37 < k < 3.5500000000000002e93

   1. Initial program 33.0%

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

   2. Taylor expanded in y1 around 0 28.7%

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

   3. Taylor expanded in y4 around inf 60.8%

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

      1. *-commutative 60.8%

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

      2. *-commutative 60.8%

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

   5. Simplified 60.8%

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

   if -5.80000000000000038e-186 < k < -3.3999999999999999e-229

   1. Initial program 12.5%

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

   2. Taylor expanded in y1 around 0 18.8%

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

   3. Taylor expanded in a around inf 44.1%

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

      1. *-commutative 44.1%

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

      2. mul-1-neg 44.1%

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

      3. *-commutative 44.1%

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

      4. *-commutative 44.1%

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

   5. Simplified 44.1%

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

   6. Taylor expanded in y around inf 50.6%

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

      1. associate-*r* 56.5%

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

      2. +-commutative 56.5%

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

      3. mul-1-neg 56.5%

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

      4. unsub-neg 56.5%

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

      5. *-commutative 56.5%

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

   8. Simplified 56.5%

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

   if -3.3999999999999999e-229 < k < 2.1e-305

   1. Initial program 28.1%

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

   2. Taylor expanded in c around inf 45.0%

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

      1. +-commutative 45.0%

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

      2. mul-1-neg 45.0%

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

      3. unsub-neg 45.0%

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

      4. *-commutative 45.0%

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

      5. *-commutative 45.0%

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

      6. *-commutative 45.0%

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

      7. *-commutative 45.0%

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

   4. Simplified 45.0%

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

   5. Taylor expanded in z around -inf 61.6%

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

      1. mul-1-neg 61.6%

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

      2. *-commutative 61.6%

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

   7. Simplified 61.6%

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

   if 2.1e-305 < k < 2.9e-189

   1. Initial program 27.9%

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

   2. Taylor expanded in y1 around inf 49.2%

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

      1. associate--l+ 49.2%

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

      2. mul-1-neg 49.2%

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

      3. distribute-rgt-neg-in 49.2%

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

      4. *-commutative 49.2%

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

      5. *-commutative 49.2%

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

      6. fma-neg 49.2%

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

      7. fma-neg 49.2%

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

      8. *-commutative 49.2%

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

      9. distribute-rgt-neg-in 49.2%

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

      10. mul-1-neg 49.2%

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

      11. remove-double-neg 49.2%

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

      12. *-commutative 49.2%

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

   4. Simplified 49.2%

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

   5. Taylor expanded in x around inf 45.9%

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

   if 2.6e-145 < k < 8.20000000000000005e-141

   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 y1 around 0 0.0%

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

   3. Taylor expanded in a around inf 0.0%

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

      1. *-commutative 0.0%

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

      2. mul-1-neg 0.0%

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

      3. *-commutative 0.0%

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

      4. *-commutative 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in x around inf 100.0%

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

   if 8.20000000000000005e-141 < k < 1.34999999999999993e37

   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 y1 around 0 27.9%

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

   3. Taylor expanded in x around inf 50.4%

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

   if 3.5500000000000002e93 < k < 4.1500000000000002e145

   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 y1 around inf 57.7%

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

      1. associate--l+ 57.7%

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

      2. mul-1-neg 57.7%

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

      3. distribute-rgt-neg-in 57.7%

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

      4. *-commutative 57.7%

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

      5. *-commutative 57.7%

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

      6. fma-neg 72.0%

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

      7. fma-neg 72.0%

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

      8. *-commutative 72.0%

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

      9. distribute-rgt-neg-in 72.0%

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

      10. mul-1-neg 72.0%

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

      11. remove-double-neg 72.0%

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

      12. *-commutative 72.0%

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

   4. Simplified 72.0%

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

   5. Taylor expanded in i around inf 57.9%

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

   if 4.1500000000000002e145 < k < 6.9999999999999996e285

   1. Initial program 24.4%

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

   2. Taylor expanded in y1 around 0 21.4%

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

   3. Taylor expanded in i around -inf 64.0%

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

   if 6.9999999999999996e285 < k

   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 c around inf 60.0%

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

      1. +-commutative 60.0%

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

      2. mul-1-neg 60.0%

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

      3. unsub-neg 60.0%

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

      4. *-commutative 60.0%

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

      5. *-commutative 60.0%

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

      6. *-commutative 60.0%

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

      7. *-commutative 60.0%

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

   4. Simplified 60.0%

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

   5. Taylor expanded in k around inf 81.5%

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

      1. *-commutative 81.5%

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

   7. Simplified 81.5%

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

4. Final simplification 56.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -9 \cdot 10^{+63}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{-186}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{-229}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;k \leq 2.1 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-189}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-145}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 8.2 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;k \leq 1.35 \cdot 10^{+37}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.55 \cdot 10^{+93}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 4.15 \cdot 10^{+145}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 7 \cdot 10^{+285}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]

Alternative 12: 34.1% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ \mathbf{if}\;y3 \leq -1.15 \cdot 10^{+84}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -0.55:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.45 \cdot 10^{-68}:\\ \;\;\;\;a \cdot \left(b \cdot t_1 + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.15 \cdot 10^{-87}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-208}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{-220}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.05 \cdot 10^{-6}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot t_1\right)\\ \mathbf{elif}\;y3 \leq 1.15 \cdot 10^{+49}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 2.9 \cdot 10^{+186}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t))))
   (if (<= y3 -1.15e+84)
     (* y1 (* y3 (- (* z a) (* j y4))))
     (if (<= y3 -0.55)
       (* j (* i (- (* x y1) (* t y5))))
       (if (<= y3 -2.45e-68)
         (* a (+ (* b t_1) (* y5 (- (* t y2) (* y y3)))))
         (if (<= y3 -1.15e-87)
           (* b (* j (- (* t y4) (* x y0))))
           (if (<= y3 -9.5e-208)
             (* x (* y1 (- (* i j) (* a y2))))
             (if (<= y3 1.1e-220)
               (*
                x
                (-
                 (+ (* c (* y0 y2)) (* y (- (* a b) (* c i))))
                 (* b (* j y0))))
               (if (<= y3 1.05e-6)
                 (*
                  y4
                  (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))
                 (if (<= y3 4.8e+38)
                   (* i (- (* y5 (- (* y k) (* t j))) (* c t_1)))
                   (if (<= y3 1.15e+49)
                     (* y1 (* y4 (- (* k y2) (* j y3))))
                     (if (<= y3 2.9e+186)
                       (* j (* y0 (- (* y3 y5) (* x b))))
                       (* j (* (* y3 y4) (- y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (y3 <= -1.15e+84) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -0.55) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= -2.45e-68) {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= -1.15e-87) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= -9.5e-208) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 1.1e-220) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (y3 <= 1.05e-6) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 4.8e+38) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1));
	} else if (y3 <= 1.15e+49) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 2.9e+186) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    if (y3 <= (-1.15d+84)) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y3 <= (-0.55d0)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (y3 <= (-2.45d-68)) then
        tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))))
    else if (y3 <= (-1.15d-87)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= (-9.5d-208)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (y3 <= 1.1d-220) then
        tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
    else if (y3 <= 1.05d-6) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (y3 <= 4.8d+38) then
        tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1))
    else if (y3 <= 1.15d+49) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (y3 <= 2.9d+186) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else
        tmp = j * ((y3 * y4) * -y1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (y3 <= -1.15e+84) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -0.55) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= -2.45e-68) {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= -1.15e-87) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= -9.5e-208) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 1.1e-220) {
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	} else if (y3 <= 1.05e-6) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 4.8e+38) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1));
	} else if (y3 <= 1.15e+49) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 2.9e+186) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	tmp = 0
	if y3 <= -1.15e+84:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y3 <= -0.55:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif y3 <= -2.45e-68:
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))))
	elif y3 <= -1.15e-87:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= -9.5e-208:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif y3 <= 1.1e-220:
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)))
	elif y3 <= 1.05e-6:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif y3 <= 4.8e+38:
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1))
	elif y3 <= 1.15e+49:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif y3 <= 2.9e+186:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	else:
		tmp = j * ((y3 * y4) * -y1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (y3 <= -1.15e+84)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y3 <= -0.55)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y3 <= -2.45e-68)
		tmp = Float64(a * Float64(Float64(b * t_1) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (y3 <= -1.15e-87)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= -9.5e-208)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (y3 <= 1.1e-220)
		tmp = Float64(x * Float64(Float64(Float64(c * Float64(y0 * y2)) + Float64(y * Float64(Float64(a * b) - Float64(c * i)))) - Float64(b * Float64(j * y0))));
	elseif (y3 <= 1.05e-6)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y3 <= 4.8e+38)
		tmp = Float64(i * Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) - Float64(c * t_1)));
	elseif (y3 <= 1.15e+49)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y3 <= 2.9e+186)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	else
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	tmp = 0.0;
	if (y3 <= -1.15e+84)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y3 <= -0.55)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (y3 <= -2.45e-68)
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	elseif (y3 <= -1.15e-87)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= -9.5e-208)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (y3 <= 1.1e-220)
		tmp = x * (((c * (y0 * y2)) + (y * ((a * b) - (c * i)))) - (b * (j * y0)));
	elseif (y3 <= 1.05e-6)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (y3 <= 4.8e+38)
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1));
	elseif (y3 <= 1.15e+49)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (y3 <= 2.9e+186)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	else
		tmp = j * ((y3 * y4) * -y1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.15e+84], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -0.55], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.45e-68], N[(a * N[(N[(b * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.15e-87], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9.5e-208], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.1e-220], N[(x * N[(N[(N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.05e-6], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.8e+38], N[(i * N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.15e+49], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.9e+186], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y3 < -1.1499999999999999e84

   1. Initial program 16.0%

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

   2. Taylor expanded in y1 around inf 44.0%

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

      1. associate--l+ 44.0%

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

      2. mul-1-neg 44.0%

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

      3. distribute-rgt-neg-in 44.0%

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

      4. *-commutative 44.0%

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

      5. *-commutative 44.0%

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

      6. fma-neg 46.3%

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

      7. fma-neg 46.3%

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

      8. *-commutative 46.3%

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

      9. distribute-rgt-neg-in 46.3%

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

      10. mul-1-neg 46.3%

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

      11. remove-double-neg 46.3%

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

      12. *-commutative 46.3%

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

   4. Simplified 46.3%

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

   5. Taylor expanded in y3 around inf 53.8%

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

   if -1.1499999999999999e84 < y3 < -0.55000000000000004

   1. Initial program 53.3%

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

   2. Taylor expanded in j around inf 60.1%

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

      1. +-commutative 60.1%

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

      2. mul-1-neg 60.1%

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

      3. unsub-neg 60.1%

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

      4. *-commutative 60.1%

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

   4. Simplified 60.1%

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

   5. Taylor expanded in i around -inf 65.4%

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

      1. mul-1-neg 65.4%

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

      2. *-commutative 65.4%

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

   7. Simplified 65.4%

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

   if -0.55000000000000004 < y3 < -2.44999999999999988e-68

   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 y1 around 0 19.1%

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

   3. Taylor expanded in a around inf 50.9%

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

      1. *-commutative 50.9%

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

      2. mul-1-neg 50.9%

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

      3. *-commutative 50.9%

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

      4. *-commutative 50.9%

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

   5. Simplified 50.9%

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

   if -2.44999999999999988e-68 < y3 < -1.1500000000000001e-87

   1. Initial program 16.7%

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

   2. Taylor expanded in j around inf 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

      4. *-commutative 50.0%

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

   4. Simplified 50.0%

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

   5. Taylor expanded in b around inf 83.4%

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

   if -1.1500000000000001e-87 < y3 < -9.5000000000000001e-208

   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 y1 around inf 59.6%

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

      1. associate--l+ 59.6%

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

      2. mul-1-neg 59.6%

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

      3. distribute-rgt-neg-in 59.6%

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

      4. *-commutative 59.6%

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

      5. *-commutative 59.6%

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

      6. fma-neg 59.6%

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

      7. fma-neg 59.6%

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

      8. *-commutative 59.6%

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

      9. distribute-rgt-neg-in 59.6%

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

      10. mul-1-neg 59.6%

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

      11. remove-double-neg 59.6%

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

      12. *-commutative 59.6%

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

   4. Simplified 59.6%

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

   5. Taylor expanded in x around inf 59.9%

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

   if -9.5000000000000001e-208 < y3 < 1.09999999999999993e-220

   1. Initial program 45.2%

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

   2. Taylor expanded in y1 around 0 35.0%

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

   3. Taylor expanded in x around inf 51.0%

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

   if 1.09999999999999993e-220 < y3 < 1.0499999999999999e-6

   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 y1 around 0 35.5%

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

   3. Taylor expanded in y4 around inf 48.7%

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

      1. *-commutative 48.7%

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

      2. *-commutative 48.7%

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

   5. Simplified 48.7%

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

   if 1.0499999999999999e-6 < y3 < 4.80000000000000035e38

   1. Initial program 33.2%

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

   2. Taylor expanded in y1 around 0 10.9%

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

   3. Taylor expanded in i around -inf 67.3%

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

   if 4.80000000000000035e38 < y3 < 1.15000000000000001e49

   1. Initial program 24.6%

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

   2. Taylor expanded in y1 around inf 50.0%

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

      1. associate--l+ 50.0%

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

      2. mul-1-neg 50.0%

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

      3. distribute-rgt-neg-in 50.0%

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

      4. *-commutative 50.0%

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

      5. *-commutative 50.0%

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

      6. fma-neg 50.0%

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

      7. fma-neg 50.0%

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

      8. *-commutative 50.0%

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

      9. distribute-rgt-neg-in 50.0%

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

      10. mul-1-neg 50.0%

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

      11. remove-double-neg 50.0%

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

      12. *-commutative 50.0%

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

   4. Simplified 50.0%

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

   5. Taylor expanded in y4 around inf 75.0%

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

      1. mul-1-neg 75.0%

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

      2. +-commutative 75.0%

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

      3. sub-neg 75.0%

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

      4. *-commutative 75.0%

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

      5. *-commutative 75.0%

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

   7. Simplified 75.0%

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

   if 1.15000000000000001e49 < y3 < 2.9e186

   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 j around inf 45.0%

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

      1. +-commutative 45.0%

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

      2. mul-1-neg 45.0%

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

      3. unsub-neg 45.0%

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

      4. *-commutative 45.0%

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

   4. Simplified 45.0%

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

   5. Taylor expanded in y0 around -inf 52.3%

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

      1. +-commutative 52.3%

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

      2. mul-1-neg 52.3%

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

      3. sub-neg 52.3%

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

      4. *-commutative 52.3%

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

   7. Simplified 52.3%

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

   if 2.9e186 < y3

   1. Initial program 8.0%

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

   2. Taylor expanded in j around inf 36.3%

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

      1. +-commutative 36.3%

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

      2. mul-1-neg 36.3%

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

      3. unsub-neg 36.3%

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

      4. *-commutative 36.3%

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

   4. Simplified 36.3%

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

   5. Taylor expanded in y4 around inf 52.7%

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

      1. *-commutative 52.7%

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

   7. Simplified 52.7%

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

   8. Taylor expanded in t around 0 52.8%

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

      1. mul-1-neg 52.8%

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

      2. *-commutative 52.8%

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

      3. distribute-rgt-neg-in 52.8%

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

      4. *-commutative 52.8%

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

   10. Simplified 52.8%

       \[\leadsto \color{blue}{\left(y1 \cdot \left(y4 \cdot y3\right)\right) \cdot \left(-j\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 54.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.15 \cdot 10^{+84}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -0.55:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.45 \cdot 10^{-68}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.15 \cdot 10^{-87}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-208}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{-220}:\\ \;\;\;\;x \cdot \left(\left(c \cdot \left(y0 \cdot y2\right) + y \cdot \left(a \cdot b - c \cdot i\right)\right) - b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.05 \cdot 10^{-6}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y3 \leq 1.15 \cdot 10^{+49}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 2.9 \cdot 10^{+186}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \]

Alternative 13: 33.0% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ \mathbf{if}\;y3 \leq -7.8 \cdot 10^{+81}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -0.6:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1 \cdot 10^{-67}:\\ \;\;\;\;a \cdot \left(b \cdot t_1 + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.6 \cdot 10^{-87}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-298}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{-8}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot t_1\right)\\ \mathbf{elif}\;y3 \leq 1.35 \cdot 10^{+49}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 5.6 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t))))
   (if (<= y3 -7.8e+81)
     (* y1 (* y3 (- (* z a) (* j y4))))
     (if (<= y3 -0.6)
       (* j (* i (- (* x y1) (* t y5))))
       (if (<= y3 -1e-67)
         (* a (+ (* b t_1) (* y5 (- (* t y2) (* y y3)))))
         (if (<= y3 -3.6e-87)
           (* b (* j (- (* t y4) (* x y0))))
           (if (<= y3 -1.7e-298)
             (* x (* y1 (- (* i j) (* a y2))))
             (if (<= y3 2.3e-8)
               (* y4 (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))
               (if (<= y3 2.3e+38)
                 (* i (- (* y5 (- (* y k) (* t j))) (* c t_1)))
                 (if (<= y3 1.35e+49)
                   (* y1 (* y4 (- (* k y2) (* j y3))))
                   (if (<= y3 5.6e+191)
                     (* j (* y0 (- (* y3 y5) (* x b))))
                     (* j (* (* y3 y4) (- y1))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (y3 <= -7.8e+81) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -0.6) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= -1e-67) {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= -3.6e-87) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= -1.7e-298) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 2.3e-8) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 2.3e+38) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1));
	} else if (y3 <= 1.35e+49) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 5.6e+191) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    if (y3 <= (-7.8d+81)) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y3 <= (-0.6d0)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (y3 <= (-1d-67)) then
        tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))))
    else if (y3 <= (-3.6d-87)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= (-1.7d-298)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (y3 <= 2.3d-8) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (y3 <= 2.3d+38) then
        tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1))
    else if (y3 <= 1.35d+49) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (y3 <= 5.6d+191) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else
        tmp = j * ((y3 * y4) * -y1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (y3 <= -7.8e+81) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -0.6) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= -1e-67) {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= -3.6e-87) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= -1.7e-298) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 2.3e-8) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 2.3e+38) {
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1));
	} else if (y3 <= 1.35e+49) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 5.6e+191) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	tmp = 0
	if y3 <= -7.8e+81:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y3 <= -0.6:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif y3 <= -1e-67:
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))))
	elif y3 <= -3.6e-87:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= -1.7e-298:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif y3 <= 2.3e-8:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif y3 <= 2.3e+38:
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1))
	elif y3 <= 1.35e+49:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif y3 <= 5.6e+191:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	else:
		tmp = j * ((y3 * y4) * -y1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (y3 <= -7.8e+81)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y3 <= -0.6)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y3 <= -1e-67)
		tmp = Float64(a * Float64(Float64(b * t_1) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (y3 <= -3.6e-87)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= -1.7e-298)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (y3 <= 2.3e-8)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y3 <= 2.3e+38)
		tmp = Float64(i * Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) - Float64(c * t_1)));
	elseif (y3 <= 1.35e+49)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y3 <= 5.6e+191)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	else
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	tmp = 0.0;
	if (y3 <= -7.8e+81)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y3 <= -0.6)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (y3 <= -1e-67)
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	elseif (y3 <= -3.6e-87)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= -1.7e-298)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (y3 <= 2.3e-8)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (y3 <= 2.3e+38)
		tmp = i * ((y5 * ((y * k) - (t * j))) - (c * t_1));
	elseif (y3 <= 1.35e+49)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (y3 <= 5.6e+191)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	else
		tmp = j * ((y3 * y4) * -y1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -7.8e+81], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -0.6], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1e-67], N[(a * N[(N[(b * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.6e-87], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.7e-298], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.3e-8], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.3e+38], N[(i * N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.35e+49], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5.6e+191], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y3 < -7.8000000000000002e81

   1. Initial program 16.0%

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

   2. Taylor expanded in y1 around inf 44.0%

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

      1. associate--l+ 44.0%

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

      2. mul-1-neg 44.0%

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

      3. distribute-rgt-neg-in 44.0%

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

      4. *-commutative 44.0%

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

      5. *-commutative 44.0%

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

      6. fma-neg 46.3%

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

      7. fma-neg 46.3%

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

      8. *-commutative 46.3%

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

      9. distribute-rgt-neg-in 46.3%

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

      10. mul-1-neg 46.3%

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

      11. remove-double-neg 46.3%

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

      12. *-commutative 46.3%

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

   4. Simplified 46.3%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 53.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(j \cdot y4\right) + a \cdot z\right)\right)} \]

   if -7.8000000000000002e81 < y3 < -0.599999999999999978

   1. Initial program 53.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 60.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 60.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 60.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 60.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 60.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in i around -inf 65.4%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 65.4%

         \[\leadsto j \cdot \color{blue}{\left(-i \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

      2. *-commutative 65.4%

         \[\leadsto j \cdot \left(-i \cdot \left(t \cdot y5 - \color{blue}{y1 \cdot x}\right)\right) \]

   7. Simplified 65.4%

      \[\leadsto j \cdot \color{blue}{\left(-i \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

   if -0.599999999999999978 < y3 < -9.99999999999999943e-68

   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 y1 around 0 19.1%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 50.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 50.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 50.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 50.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 50.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   if -9.99999999999999943e-68 < y3 < -3.59999999999999993e-87

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 50.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 50.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 50.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 50.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 50.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 83.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -3.59999999999999993e-87 < y3 < -1.7e-298

   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 y1 around inf 48.2%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 48.2%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 48.2%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 48.2%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 48.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 48.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 48.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 48.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 48.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 48.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 48.2%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in x around inf 48.4%

      \[\leadsto \color{blue}{x \cdot \left(y1 \cdot \left(-1 \cdot \left(a \cdot y2\right) + i \cdot j\right)\right)} \]

   if -1.7e-298 < y3 < 2.3000000000000001e-8

   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 y1 around 0 34.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y4 around inf 46.4%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 46.4%

         \[\leadsto y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right) \]

      2. *-commutative 46.4%

         \[\leadsto y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right) \]

   5. Simplified 46.4%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)} \]

   if 2.3000000000000001e-8 < y3 < 2.3000000000000001e38

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 10.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in i around -inf 67.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]

   if 2.3000000000000001e38 < y3 < 1.35000000000000005e49

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 50.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 50.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 50.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 50.0%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 50.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 50.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 50.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 50.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 50.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 50.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 50.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 50.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 50.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 50.0%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in y4 around inf 75.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(-1 \cdot \left(j \cdot y3\right) + k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 75.0%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(\color{blue}{\left(-j \cdot y3\right)} + k \cdot y2\right)\right) \]

      2. +-commutative 75.0%

         \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2 + \left(-j \cdot y3\right)\right)}\right) \]

      3. sub-neg 75.0%

         \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2 - j \cdot y3\right)}\right) \]

      4. *-commutative 75.0%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(\color{blue}{y2 \cdot k} - j \cdot y3\right)\right) \]

      5. *-commutative 75.0%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(y2 \cdot k - \color{blue}{y3 \cdot j}\right)\right) \]

   7. Simplified 75.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(y2 \cdot k - y3 \cdot j\right)\right)} \]

   if 1.35000000000000005e49 < y3 < 5.5999999999999998e191

   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 j around inf 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 5.5999999999999998e191 < y3

   1. Initial program 8.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 36.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 36.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 36.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 36.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 36.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 52.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 52.8%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. *-commutative 52.8%

         \[\leadsto -\color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot j} \]

      3. distribute-rgt-neg-in 52.8%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot \left(-j\right)} \]

      4. *-commutative 52.8%

         \[\leadsto \left(y1 \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \cdot \left(-j\right) \]

   10. Simplified 52.8%

       \[\leadsto \color{blue}{\left(y1 \cdot \left(y4 \cdot y3\right)\right) \cdot \left(-j\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 52.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -7.8 \cdot 10^{+81}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -0.6:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1 \cdot 10^{-67}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.6 \cdot 10^{-87}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-298}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{-8}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y3 \leq 1.35 \cdot 10^{+49}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 5.6 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \]

Alternative 14: 32.7% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -2.5 \cdot 10^{+82}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -2.5 \cdot 10^{-12}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -2.05 \cdot 10^{-296}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{-81}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.6 \cdot 10^{+41}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 10^{+49}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.46 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{+239}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -2.5e+82)
   (* y1 (* y3 (- (* z a) (* j y4))))
   (if (<= y3 -2.5e-12)
     (* j (* y5 (- (* y0 y3) (* t i))))
     (if (<= y3 -2.05e-296)
       (* x (* y1 (- (* i j) (* a y2))))
       (if (<= y3 5.8e-81)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y3 1.6e+41)
           (* y (* k (- (* i y5) (* b y4))))
           (if (<= y3 1e+49)
             (* y4 (+ (* b (- (* t j) (* y k))) (* c (- (* y y3) (* t y2)))))
             (if (<= y3 2.46e+191)
               (* j (* y0 (- (* y3 y5) (* x b))))
               (if (<= y3 4.8e+239)
                 (* j (* y4 (- (* t b) (* y1 y3))))
                 (* y (* y3 (- (* c y4) (* a y5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -2.5e+82) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -2.5e-12) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= -2.05e-296) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 5.8e-81) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 1.6e+41) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 1e+49) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 2.46e+191) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y3 <= 4.8e+239) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y3 <= (-2.5d+82)) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y3 <= (-2.5d-12)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y3 <= (-2.05d-296)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (y3 <= 5.8d-81) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 1.6d+41) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else if (y3 <= 1d+49) then
        tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
    else if (y3 <= 2.46d+191) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (y3 <= 4.8d+239) then
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    else
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -2.5e+82) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -2.5e-12) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= -2.05e-296) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 5.8e-81) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 1.6e+41) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 1e+49) {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 2.46e+191) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y3 <= 4.8e+239) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y3 <= -2.5e+82:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y3 <= -2.5e-12:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y3 <= -2.05e-296:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif y3 <= 5.8e-81:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 1.6e+41:
		tmp = y * (k * ((i * y5) - (b * y4)))
	elif y3 <= 1e+49:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))))
	elif y3 <= 2.46e+191:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif y3 <= 4.8e+239:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	else:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y3 <= -2.5e+82)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y3 <= -2.5e-12)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y3 <= -2.05e-296)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (y3 <= 5.8e-81)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 1.6e+41)
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y3 <= 1e+49)
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y3 <= 2.46e+191)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y3 <= 4.8e+239)
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y3 <= -2.5e+82)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y3 <= -2.5e-12)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y3 <= -2.05e-296)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (y3 <= 5.8e-81)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 1.6e+41)
		tmp = y * (k * ((i * y5) - (b * y4)));
	elseif (y3 <= 1e+49)
		tmp = y4 * ((b * ((t * j) - (y * k))) + (c * ((y * y3) - (t * y2))));
	elseif (y3 <= 2.46e+191)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (y3 <= 4.8e+239)
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	else
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y3, -2.5e+82], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.5e-12], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.05e-296], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5.8e-81], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.6e+41], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1e+49], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.46e+191], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.8e+239], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y3 < -2.50000000000000008e82

   1. Initial program 16.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 44.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 44.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 44.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 44.0%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 44.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 44.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 46.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 46.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 46.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 46.3%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 53.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(j \cdot y4\right) + a \cdot z\right)\right)} \]

   if -2.50000000000000008e82 < y3 < -2.49999999999999985e-12

   1. Initial program 39.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 57.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 57.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 57.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 57.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 57.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y5 around -inf 53.3%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 53.3%

         \[\leadsto \color{blue}{\left(-1 \cdot j\right) \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)} \]

      2. neg-mul-1 53.3%

         \[\leadsto \color{blue}{\left(-j\right)} \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \]

      3. *-commutative 53.3%

         \[\leadsto \left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - \color{blue}{y3 \cdot y0}\right)\right) \]

   7. Simplified 53.3%

      \[\leadsto \color{blue}{\left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - y3 \cdot y0\right)\right)} \]

   if -2.49999999999999985e-12 < y3 < -2.04999999999999997e-296

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 48.9%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 48.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 48.9%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 48.9%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 48.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 48.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 50.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in x around inf 47.3%

      \[\leadsto \color{blue}{x \cdot \left(y1 \cdot \left(-1 \cdot \left(a \cdot y2\right) + i \cdot j\right)\right)} \]

   if -2.04999999999999997e-296 < y3 < 5.79999999999999978e-81

   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 j around inf 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 49.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 5.79999999999999978e-81 < y3 < 1.60000000000000005e41

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 22.5%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 48.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in k around inf 44.6%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 44.6%

         \[\leadsto y \cdot \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

      2. cancel-sign-sub-inv 44.6%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right) \]

      3. fma-udef 44.6%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)}\right) \]

      4. distribute-rgt-neg-in 44.6%

         \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)\right)\right)} \]

      5. fma-udef 44.6%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right)\right) \]

      6. cancel-sign-sub-inv 44.6%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 - i \cdot y5\right)}\right)\right) \]

   6. Simplified 44.6%

      \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]

   if 1.60000000000000005e41 < y3 < 9.99999999999999946e48

   1. Initial program 32.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 0.1%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y4 around inf 66.7%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 66.7%

         \[\leadsto y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right) \]

      2. *-commutative 66.7%

         \[\leadsto y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right) \]

   5. Simplified 66.7%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) - c \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)} \]

   if 9.99999999999999946e48 < y3 < 2.46000000000000013e191

   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 j around inf 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.46000000000000013e191 < y3 < 4.8e239

   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 j around inf 38.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 55.1%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.1%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 55.1%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   if 4.8e239 < y3

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 16.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 50.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 67.5%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 51.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.5 \cdot 10^{+82}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -2.5 \cdot 10^{-12}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -2.05 \cdot 10^{-296}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{-81}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.6 \cdot 10^{+41}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 10^{+49}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.46 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{+239}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]

Alternative 15: 29.0% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{if}\;a \leq -1 \cdot 10^{+168}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{+101}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -8.1 \cdot 10^{+68}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{-110}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -6.2 \cdot 10^{-229}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-111}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2250000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+138}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3.75 \cdot 10^{+160}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i)))))
        (t_2 (* j (* y0 (- (* y3 y5) (* x b))))))
   (if (<= a -1e+168)
     t_1
     (if (<= a -5.2e+101)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= a -8.1e+68)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= a -5.2e-110)
           (* j (* y4 (- (* t b) (* y1 y3))))
           (if (<= a -6.2e-229)
             t_1
             (if (<= a 1.75e-111)
               (* k (* y2 (- (* y1 y4) (* y0 y5))))
               (if (<= a 2250000000000.0)
                 t_2
                 (if (<= a 5.5e+138)
                   (* j (* t (- (* b y4) (* i y5))))
                   (if (<= a 3.75e+160)
                     t_2
                     (* a (* y1 (- (* z y3) (* x y2)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	double tmp;
	if (a <= -1e+168) {
		tmp = t_1;
	} else if (a <= -5.2e+101) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -8.1e+68) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= -5.2e-110) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (a <= -6.2e-229) {
		tmp = t_1;
	} else if (a <= 1.75e-111) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 2250000000000.0) {
		tmp = t_2;
	} else if (a <= 5.5e+138) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 3.75e+160) {
		tmp = t_2;
	} else {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    t_2 = j * (y0 * ((y3 * y5) - (x * b)))
    if (a <= (-1d+168)) then
        tmp = t_1
    else if (a <= (-5.2d+101)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (a <= (-8.1d+68)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (a <= (-5.2d-110)) then
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    else if (a <= (-6.2d-229)) then
        tmp = t_1
    else if (a <= 1.75d-111) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (a <= 2250000000000.0d0) then
        tmp = t_2
    else if (a <= 5.5d+138) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (a <= 3.75d+160) then
        tmp = t_2
    else
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	double tmp;
	if (a <= -1e+168) {
		tmp = t_1;
	} else if (a <= -5.2e+101) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -8.1e+68) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= -5.2e-110) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (a <= -6.2e-229) {
		tmp = t_1;
	} else if (a <= 1.75e-111) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 2250000000000.0) {
		tmp = t_2;
	} else if (a <= 5.5e+138) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 3.75e+160) {
		tmp = t_2;
	} else {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	t_2 = j * (y0 * ((y3 * y5) - (x * b)))
	tmp = 0
	if a <= -1e+168:
		tmp = t_1
	elif a <= -5.2e+101:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif a <= -8.1e+68:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif a <= -5.2e-110:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	elif a <= -6.2e-229:
		tmp = t_1
	elif a <= 1.75e-111:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif a <= 2250000000000.0:
		tmp = t_2
	elif a <= 5.5e+138:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif a <= 3.75e+160:
		tmp = t_2
	else:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))))
	tmp = 0.0
	if (a <= -1e+168)
		tmp = t_1;
	elseif (a <= -5.2e+101)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (a <= -8.1e+68)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (a <= -5.2e-110)
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (a <= -6.2e-229)
		tmp = t_1;
	elseif (a <= 1.75e-111)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (a <= 2250000000000.0)
		tmp = t_2;
	elseif (a <= 5.5e+138)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (a <= 3.75e+160)
		tmp = t_2;
	else
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * ((a * b) - (c * i)));
	t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	tmp = 0.0;
	if (a <= -1e+168)
		tmp = t_1;
	elseif (a <= -5.2e+101)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (a <= -8.1e+68)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (a <= -5.2e-110)
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	elseif (a <= -6.2e-229)
		tmp = t_1;
	elseif (a <= 1.75e-111)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (a <= 2250000000000.0)
		tmp = t_2;
	elseif (a <= 5.5e+138)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (a <= 3.75e+160)
		tmp = t_2;
	else
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1e+168], t$95$1, If[LessEqual[a, -5.2e+101], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8.1e+68], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.2e-110], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -6.2e-229], t$95$1, If[LessEqual[a, 1.75e-111], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2250000000000.0], t$95$2, If[LessEqual[a, 5.5e+138], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.75e+160], t$95$2, N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if a < -9.9999999999999993e167 or -5.19999999999999979e-110 < a < -6.2000000000000002e-229

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 16.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 49.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in x around inf 55.6%

      \[\leadsto y \cdot \color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -9.9999999999999993e167 < a < -5.2e101

   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 58.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 58.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 58.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 58.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 58.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 58.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 65.2%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -5.2e101 < a < -8.1000000000000002e68

   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 y0 around inf 34.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in c around inf 45.8%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -8.1000000000000002e68 < a < -5.19999999999999979e-110

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 34.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 34.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 34.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 34.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 34.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 34.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 40.3%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 40.3%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 40.3%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   if -6.2000000000000002e-229 < a < 1.75e-111

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 33.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 33.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 33.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 33.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 33.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 33.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 33.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 33.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 33.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in k around inf 46.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.6%

         \[\leadsto k \cdot \left(y2 \cdot \left(y1 \cdot y4 - \color{blue}{y5 \cdot y0}\right)\right) \]

   7. Simplified 46.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y5 \cdot y0\right)\right)} \]

   if 1.75e-111 < a < 2.25e12 or 5.4999999999999999e138 < a < 3.75000000000000014e160

   1. Initial program 42.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 55.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 55.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 55.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 55.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 55.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 55.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.25e12 < a < 5.4999999999999999e138

   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 j around inf 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.9%

         \[\leadsto j \cdot \left(t \cdot \left(\color{blue}{y4 \cdot b} - i \cdot y5\right)\right) \]

   7. Simplified 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]

   if 3.75000000000000014e160 < a

   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 y1 around inf 57.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 57.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 57.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 57.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 57.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 57.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 57.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 57.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 57.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 57.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 57.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 46.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 49.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1 \cdot 10^{+168}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{+101}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -8.1 \cdot 10^{+68}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{-110}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -6.2 \cdot 10^{-229}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-111}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2250000000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+138}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3.75 \cdot 10^{+160}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]

Alternative 16: 30.0% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ t_2 := j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{if}\;a \leq -2.2 \cdot 10^{+162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.1 \cdot 10^{+69}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -5.1 \cdot 10^{-86}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -2.35 \cdot 10^{-291}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-111}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 530000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+139}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{+166}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y1 (- (* z y3) (* x y2)))))
        (t_2 (* j (* y0 (- (* y3 y5) (* x b))))))
   (if (<= a -2.2e+162)
     t_1
     (if (<= a -2.1e+69)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= a -5.1e-86)
         (* j (* y4 (- (* t b) (* y1 y3))))
         (if (<= a -2.35e-291)
           (* c (* i (- (* z t) (* x y))))
           (if (<= a 2.9e-111)
             (* k (* y2 (- (* y1 y4) (* y0 y5))))
             (if (<= a 530000000.0)
               t_2
               (if (<= a 3.2e+139)
                 (* j (* t (- (* b y4) (* i y5))))
                 (if (<= a 1.15e+166) 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 = a * (y1 * ((z * y3) - (x * y2)));
	double t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	double tmp;
	if (a <= -2.2e+162) {
		tmp = t_1;
	} else if (a <= -2.1e+69) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -5.1e-86) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (a <= -2.35e-291) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 2.9e-111) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 530000000.0) {
		tmp = t_2;
	} else if (a <= 3.2e+139) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 1.15e+166) {
		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 = a * (y1 * ((z * y3) - (x * y2)))
    t_2 = j * (y0 * ((y3 * y5) - (x * b)))
    if (a <= (-2.2d+162)) then
        tmp = t_1
    else if (a <= (-2.1d+69)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (a <= (-5.1d-86)) then
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    else if (a <= (-2.35d-291)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (a <= 2.9d-111) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (a <= 530000000.0d0) then
        tmp = t_2
    else if (a <= 3.2d+139) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (a <= 1.15d+166) 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 = a * (y1 * ((z * y3) - (x * y2)));
	double t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	double tmp;
	if (a <= -2.2e+162) {
		tmp = t_1;
	} else if (a <= -2.1e+69) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -5.1e-86) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (a <= -2.35e-291) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 2.9e-111) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 530000000.0) {
		tmp = t_2;
	} else if (a <= 3.2e+139) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 1.15e+166) {
		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 = a * (y1 * ((z * y3) - (x * y2)))
	t_2 = j * (y0 * ((y3 * y5) - (x * b)))
	tmp = 0
	if a <= -2.2e+162:
		tmp = t_1
	elif a <= -2.1e+69:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif a <= -5.1e-86:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	elif a <= -2.35e-291:
		tmp = c * (i * ((z * t) - (x * y)))
	elif a <= 2.9e-111:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif a <= 530000000.0:
		tmp = t_2
	elif a <= 3.2e+139:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif a <= 1.15e+166:
		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(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	t_2 = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))))
	tmp = 0.0
	if (a <= -2.2e+162)
		tmp = t_1;
	elseif (a <= -2.1e+69)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (a <= -5.1e-86)
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (a <= -2.35e-291)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (a <= 2.9e-111)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (a <= 530000000.0)
		tmp = t_2;
	elseif (a <= 3.2e+139)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (a <= 1.15e+166)
		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 = a * (y1 * ((z * y3) - (x * y2)));
	t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	tmp = 0.0;
	if (a <= -2.2e+162)
		tmp = t_1;
	elseif (a <= -2.1e+69)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (a <= -5.1e-86)
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	elseif (a <= -2.35e-291)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (a <= 2.9e-111)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (a <= 530000000.0)
		tmp = t_2;
	elseif (a <= 3.2e+139)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (a <= 1.15e+166)
		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[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.2e+162], t$95$1, If[LessEqual[a, -2.1e+69], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.1e-86], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.35e-291], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.9e-111], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 530000000.0], t$95$2, If[LessEqual[a, 3.2e+139], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.15e+166], t$95$2, t$95$1]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -2.2000000000000002e162 or 1.15000000000000004e166 < a

   1. Initial program 20.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 55.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 55.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 55.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 45.6%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   if -2.2000000000000002e162 < a < -2.10000000000000015e69

   1. Initial program 26.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 57.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -2.10000000000000015e69 < a < -5.10000000000000006e-86

   1. Initial program 21.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 43.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.4%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 43.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   if -5.10000000000000006e-86 < a < -2.3499999999999999e-291

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 25.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 25.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 25.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 25.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 25.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 25.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 25.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 25.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 25.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 43.6%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   if -2.3499999999999999e-291 < a < 2.90000000000000002e-111

   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 c around inf 35.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 35.9%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 35.9%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 35.9%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 35.9%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 35.9%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 35.9%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 35.9%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 35.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in k around inf 51.2%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto k \cdot \left(y2 \cdot \left(y1 \cdot y4 - \color{blue}{y5 \cdot y0}\right)\right) \]

   7. Simplified 51.2%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y5 \cdot y0\right)\right)} \]

   if 2.90000000000000002e-111 < a < 5.3e8 or 3.2000000000000001e139 < a < 1.15000000000000004e166

   1. Initial program 42.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 55.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 55.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 55.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 55.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 55.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 55.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 52.7%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 5.3e8 < a < 3.2000000000000001e139

   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 j around inf 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.9%

         \[\leadsto j \cdot \left(t \cdot \left(\color{blue}{y4 \cdot b} - i \cdot y5\right)\right) \]

   7. Simplified 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 47.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.2 \cdot 10^{+162}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2.1 \cdot 10^{+69}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -5.1 \cdot 10^{-86}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -2.35 \cdot 10^{-291}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-111}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 530000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+139}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{+166}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]

Alternative 17: 30.1% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ t_2 := a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{if}\;a \leq -1.75 \cdot 10^{+161}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{+75}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -2.9 \cdot 10^{-83}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -6.6 \cdot 10^{-202}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 59000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{+140}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{+165}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* y0 (- (* y3 y5) (* x b)))))
        (t_2 (* a (* y1 (- (* z y3) (* x y2))))))
   (if (<= a -1.75e+161)
     t_2
     (if (<= a -1.9e+75)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= a -2.9e-83)
         (* j (* y4 (- (* t b) (* y1 y3))))
         (if (<= a -6.6e-202)
           (* c (* i (- (* z t) (* x y))))
           (if (<= a 59000000.0)
             t_1
             (if (<= a 1.1e+140)
               (* j (* t (- (* b y4) (* i y5))))
               (if (<= a 3.1e+165) t_1 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y0 * ((y3 * y5) - (x * b)));
	double t_2 = a * (y1 * ((z * y3) - (x * y2)));
	double tmp;
	if (a <= -1.75e+161) {
		tmp = t_2;
	} else if (a <= -1.9e+75) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -2.9e-83) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (a <= -6.6e-202) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 59000000.0) {
		tmp = t_1;
	} else if (a <= 1.1e+140) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 3.1e+165) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (y0 * ((y3 * y5) - (x * b)))
    t_2 = a * (y1 * ((z * y3) - (x * y2)))
    if (a <= (-1.75d+161)) then
        tmp = t_2
    else if (a <= (-1.9d+75)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (a <= (-2.9d-83)) then
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    else if (a <= (-6.6d-202)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (a <= 59000000.0d0) then
        tmp = t_1
    else if (a <= 1.1d+140) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (a <= 3.1d+165) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y0 * ((y3 * y5) - (x * b)));
	double t_2 = a * (y1 * ((z * y3) - (x * y2)));
	double tmp;
	if (a <= -1.75e+161) {
		tmp = t_2;
	} else if (a <= -1.9e+75) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -2.9e-83) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (a <= -6.6e-202) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 59000000.0) {
		tmp = t_1;
	} else if (a <= 1.1e+140) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 3.1e+165) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (y0 * ((y3 * y5) - (x * b)))
	t_2 = a * (y1 * ((z * y3) - (x * y2)))
	tmp = 0
	if a <= -1.75e+161:
		tmp = t_2
	elif a <= -1.9e+75:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif a <= -2.9e-83:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	elif a <= -6.6e-202:
		tmp = c * (i * ((z * t) - (x * y)))
	elif a <= 59000000.0:
		tmp = t_1
	elif a <= 1.1e+140:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif a <= 3.1e+165:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))))
	t_2 = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	tmp = 0.0
	if (a <= -1.75e+161)
		tmp = t_2;
	elseif (a <= -1.9e+75)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (a <= -2.9e-83)
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (a <= -6.6e-202)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (a <= 59000000.0)
		tmp = t_1;
	elseif (a <= 1.1e+140)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (a <= 3.1e+165)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (y0 * ((y3 * y5) - (x * b)));
	t_2 = a * (y1 * ((z * y3) - (x * y2)));
	tmp = 0.0;
	if (a <= -1.75e+161)
		tmp = t_2;
	elseif (a <= -1.9e+75)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (a <= -2.9e-83)
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	elseif (a <= -6.6e-202)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (a <= 59000000.0)
		tmp = t_1;
	elseif (a <= 1.1e+140)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (a <= 3.1e+165)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.75e+161], t$95$2, If[LessEqual[a, -1.9e+75], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.9e-83], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -6.6e-202], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 59000000.0], t$95$1, If[LessEqual[a, 1.1e+140], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.1e+165], t$95$1, t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if a < -1.74999999999999994e161 or 3.1000000000000002e165 < a

   1. Initial program 20.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 55.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 55.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 55.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 45.6%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   if -1.74999999999999994e161 < a < -1.9000000000000001e75

   1. Initial program 26.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 57.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -1.9000000000000001e75 < a < -2.8999999999999999e-83

   1. Initial program 21.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 43.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.4%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 43.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   if -2.8999999999999999e-83 < a < -6.59999999999999979e-202

   1. Initial program 35.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 27.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 27.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 27.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 27.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 27.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 27.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 27.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 27.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 27.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 49.5%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   if -6.59999999999999979e-202 < a < 5.9e7 or 1.0999999999999999e140 < a < 3.1000000000000002e165

   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 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. Step-by-step derivation

      1. +-commutative 45.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 43.0%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 43.0%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 5.9e7 < a < 1.0999999999999999e140

   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 j around inf 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.9%

         \[\leadsto j \cdot \left(t \cdot \left(\color{blue}{y4 \cdot b} - i \cdot y5\right)\right) \]

   7. Simplified 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 45.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.75 \cdot 10^{+161}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{+75}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -2.9 \cdot 10^{-83}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -6.6 \cdot 10^{-202}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 59000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{+140}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{+165}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]

Alternative 18: 30.4% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{if}\;y3 \leq -9.5 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-26}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y3 \leq -7.1 \cdot 10^{-158}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 1.66 \cdot 10^{-251}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 1.22 \cdot 10^{-18}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.8 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq 8.5 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y1 (* y4 (- (* k y2) (* j y3))))))
   (if (<= y3 -9.5e+64)
     t_1
     (if (<= y3 -8.2e-26)
       (* c (* i (- (* z t) (* x y))))
       (if (<= y3 -7.1e-158)
         (* i (* y1 (- (* x j) (* z k))))
         (if (<= y3 1.66e-251)
           (* y (* x (- (* a b) (* c i))))
           (if (<= y3 1.22e-18)
             (* b (* j (- (* t y4) (* x y0))))
             (if (<= y3 1.8e+49)
               t_1
               (if (<= y3 8.5e+191)
                 (* j (* y0 (- (* y3 y5) (* x b))))
                 (* j (* (* y3 y4) (- y1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y1 * (y4 * ((k * y2) - (j * y3)));
	double tmp;
	if (y3 <= -9.5e+64) {
		tmp = t_1;
	} else if (y3 <= -8.2e-26) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (y3 <= -7.1e-158) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 1.66e-251) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y3 <= 1.22e-18) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 1.8e+49) {
		tmp = t_1;
	} else if (y3 <= 8.5e+191) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y1 * (y4 * ((k * y2) - (j * y3)))
    if (y3 <= (-9.5d+64)) then
        tmp = t_1
    else if (y3 <= (-8.2d-26)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (y3 <= (-7.1d-158)) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y3 <= 1.66d-251) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y3 <= 1.22d-18) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 1.8d+49) then
        tmp = t_1
    else if (y3 <= 8.5d+191) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else
        tmp = j * ((y3 * y4) * -y1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y1 * (y4 * ((k * y2) - (j * y3)));
	double tmp;
	if (y3 <= -9.5e+64) {
		tmp = t_1;
	} else if (y3 <= -8.2e-26) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (y3 <= -7.1e-158) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 1.66e-251) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y3 <= 1.22e-18) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 1.8e+49) {
		tmp = t_1;
	} else if (y3 <= 8.5e+191) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y1 * (y4 * ((k * y2) - (j * y3)))
	tmp = 0
	if y3 <= -9.5e+64:
		tmp = t_1
	elif y3 <= -8.2e-26:
		tmp = c * (i * ((z * t) - (x * y)))
	elif y3 <= -7.1e-158:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y3 <= 1.66e-251:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y3 <= 1.22e-18:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 1.8e+49:
		tmp = t_1
	elif y3 <= 8.5e+191:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	else:
		tmp = j * ((y3 * y4) * -y1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))))
	tmp = 0.0
	if (y3 <= -9.5e+64)
		tmp = t_1;
	elseif (y3 <= -8.2e-26)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (y3 <= -7.1e-158)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y3 <= 1.66e-251)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y3 <= 1.22e-18)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 1.8e+49)
		tmp = t_1;
	elseif (y3 <= 8.5e+191)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	else
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y1 * (y4 * ((k * y2) - (j * y3)));
	tmp = 0.0;
	if (y3 <= -9.5e+64)
		tmp = t_1;
	elseif (y3 <= -8.2e-26)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (y3 <= -7.1e-158)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y3 <= 1.66e-251)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y3 <= 1.22e-18)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 1.8e+49)
		tmp = t_1;
	elseif (y3 <= 8.5e+191)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	else
		tmp = j * ((y3 * y4) * -y1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -9.5e+64], t$95$1, If[LessEqual[y3, -8.2e-26], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7.1e-158], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.66e-251], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.22e-18], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.8e+49], t$95$1, If[LessEqual[y3, 8.5e+191], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -9.50000000000000028e64 or 1.2200000000000001e-18 < y3 < 1.79999999999999998e49

   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 y1 around inf 48.6%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 48.6%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 48.6%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 48.6%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 48.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 48.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 51.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 51.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 51.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 51.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 51.5%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 51.5%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 51.5%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 51.5%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in y4 around inf 46.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(-1 \cdot \left(j \cdot y3\right) + k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 46.9%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(\color{blue}{\left(-j \cdot y3\right)} + k \cdot y2\right)\right) \]

      2. +-commutative 46.9%

         \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2 + \left(-j \cdot y3\right)\right)}\right) \]

      3. sub-neg 46.9%

         \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2 - j \cdot y3\right)}\right) \]

      4. *-commutative 46.9%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(\color{blue}{y2 \cdot k} - j \cdot y3\right)\right) \]

      5. *-commutative 46.9%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(y2 \cdot k - \color{blue}{y3 \cdot j}\right)\right) \]

   7. Simplified 46.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(y2 \cdot k - y3 \cdot j\right)\right)} \]

   if -9.50000000000000028e64 < y3 < -8.1999999999999997e-26

   1. Initial program 47.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 34.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 34.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 34.6%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 34.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 34.6%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 34.6%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 34.6%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 34.6%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 34.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 44.2%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   if -8.1999999999999997e-26 < y3 < -7.10000000000000003e-158

   1. Initial program 20.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 62.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 62.8%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 62.8%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 62.8%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 62.8%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 62.8%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 66.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 66.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 66.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 66.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 66.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 66.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 66.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 66.9%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in i around inf 55.0%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -7.10000000000000003e-158 < y3 < 1.65999999999999994e-251

   1. Initial program 38.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 30.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 28.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in x around inf 43.9%

      \[\leadsto y \cdot \color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 1.65999999999999994e-251 < y3 < 1.2200000000000001e-18

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 40.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 40.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 40.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 40.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 40.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 40.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 49.3%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.79999999999999998e49 < y3 < 8.4999999999999999e191

   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 j around inf 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 8.4999999999999999e191 < y3

   1. Initial program 8.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 36.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 36.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 36.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 36.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 36.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 52.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 52.8%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. *-commutative 52.8%

         \[\leadsto -\color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot j} \]

      3. distribute-rgt-neg-in 52.8%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot \left(-j\right)} \]

      4. *-commutative 52.8%

         \[\leadsto \left(y1 \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \cdot \left(-j\right) \]

   10. Simplified 52.8%

       \[\leadsto \color{blue}{\left(y1 \cdot \left(y4 \cdot y3\right)\right) \cdot \left(-j\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -9.5 \cdot 10^{+64}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-26}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y3 \leq -7.1 \cdot 10^{-158}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 1.66 \cdot 10^{-251}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 1.22 \cdot 10^{-18}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.8 \cdot 10^{+49}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 8.5 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \]

Alternative 19: 28.6% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{if}\;y3 \leq -4 \cdot 10^{+65}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.9 \cdot 10^{-14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq -1.85 \cdot 10^{-56}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -5.4 \cdot 10^{-200}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 1.32 \cdot 10^{-83}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.4 \cdot 10^{+144}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* i (- (* z t) (* x y))))))
   (if (<= y3 -4e+65)
     (* j (* y4 (* y1 (- y3))))
     (if (<= y3 -4.9e-14)
       t_1
       (if (<= y3 -1.85e-56)
         (* a (* x (- (* y1 y2))))
         (if (<= y3 -5.4e-200)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y3 1.32e-83)
             (* b (* j (- (* t y4) (* x y0))))
             (if (<= y3 1.4e+144) t_1 (* j (* (* y3 y4) (- y1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (y3 <= -4e+65) {
		tmp = j * (y4 * (y1 * -y3));
	} else if (y3 <= -4.9e-14) {
		tmp = t_1;
	} else if (y3 <= -1.85e-56) {
		tmp = a * (x * -(y1 * y2));
	} else if (y3 <= -5.4e-200) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 1.32e-83) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 1.4e+144) {
		tmp = t_1;
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (i * ((z * t) - (x * y)))
    if (y3 <= (-4d+65)) then
        tmp = j * (y4 * (y1 * -y3))
    else if (y3 <= (-4.9d-14)) then
        tmp = t_1
    else if (y3 <= (-1.85d-56)) then
        tmp = a * (x * -(y1 * y2))
    else if (y3 <= (-5.4d-200)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= 1.32d-83) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 1.4d+144) then
        tmp = t_1
    else
        tmp = j * ((y3 * y4) * -y1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (y3 <= -4e+65) {
		tmp = j * (y4 * (y1 * -y3));
	} else if (y3 <= -4.9e-14) {
		tmp = t_1;
	} else if (y3 <= -1.85e-56) {
		tmp = a * (x * -(y1 * y2));
	} else if (y3 <= -5.4e-200) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 1.32e-83) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 1.4e+144) {
		tmp = t_1;
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (i * ((z * t) - (x * y)))
	tmp = 0
	if y3 <= -4e+65:
		tmp = j * (y4 * (y1 * -y3))
	elif y3 <= -4.9e-14:
		tmp = t_1
	elif y3 <= -1.85e-56:
		tmp = a * (x * -(y1 * y2))
	elif y3 <= -5.4e-200:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= 1.32e-83:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 1.4e+144:
		tmp = t_1
	else:
		tmp = j * ((y3 * y4) * -y1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))))
	tmp = 0.0
	if (y3 <= -4e+65)
		tmp = Float64(j * Float64(y4 * Float64(y1 * Float64(-y3))));
	elseif (y3 <= -4.9e-14)
		tmp = t_1;
	elseif (y3 <= -1.85e-56)
		tmp = Float64(a * Float64(x * Float64(-Float64(y1 * y2))));
	elseif (y3 <= -5.4e-200)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= 1.32e-83)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 1.4e+144)
		tmp = t_1;
	else
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (i * ((z * t) - (x * y)));
	tmp = 0.0;
	if (y3 <= -4e+65)
		tmp = j * (y4 * (y1 * -y3));
	elseif (y3 <= -4.9e-14)
		tmp = t_1;
	elseif (y3 <= -1.85e-56)
		tmp = a * (x * -(y1 * y2));
	elseif (y3 <= -5.4e-200)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= 1.32e-83)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 1.4e+144)
		tmp = t_1;
	else
		tmp = j * ((y3 * y4) * -y1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -4e+65], N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4.9e-14], t$95$1, If[LessEqual[y3, -1.85e-56], N[(a * N[(x * (-N[(y1 * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.4e-200], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.32e-83], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.4e+144], t$95$1, N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y3 < -4e65

   1. Initial program 20.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 38.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 43.3%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.3%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 43.3%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 41.4%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 41.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 41.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 41.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 41.4%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   if -4e65 < y3 < -4.89999999999999995e-14 or 1.31999999999999994e-83 < y3 < 1.40000000000000003e144

   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 c around inf 31.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 31.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 31.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 31.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 31.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 31.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 31.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 31.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 31.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 42.0%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   if -4.89999999999999995e-14 < y3 < -1.8500000000000001e-56

   1. Initial program 44.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 56.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 56.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 56.3%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 56.3%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 56.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 56.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 67.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 67.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 67.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 67.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 67.4%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 67.4%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 67.4%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 67.4%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 45.9%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around 0 56.5%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(x \cdot \left(y1 \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 56.5%

         \[\leadsto a \cdot \color{blue}{\left(-x \cdot \left(y1 \cdot y2\right)\right)} \]

      2. *-commutative 56.5%

         \[\leadsto a \cdot \left(-\color{blue}{\left(y1 \cdot y2\right) \cdot x}\right) \]

      3. distribute-rgt-neg-in 56.5%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot \left(-x\right)\right)} \]

   8. Simplified 56.5%

      \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot \left(-x\right)\right)} \]

   if -1.8500000000000001e-56 < y3 < -5.4000000000000003e-200

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 54.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in b around inf 43.6%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -5.4000000000000003e-200 < y3 < 1.31999999999999994e-83

   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 j around inf 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 43.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 43.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 43.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 43.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 41.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.40000000000000003e144 < y3

   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 j around inf 45.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 46.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.6%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 46.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 43.9%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. *-commutative 43.9%

         \[\leadsto -\color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot j} \]

      3. distribute-rgt-neg-in 43.9%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot \left(-j\right)} \]

      4. *-commutative 43.9%

         \[\leadsto \left(y1 \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \cdot \left(-j\right) \]

   10. Simplified 43.9%

       \[\leadsto \color{blue}{\left(y1 \cdot \left(y4 \cdot y3\right)\right) \cdot \left(-j\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 42.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -4 \cdot 10^{+65}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.9 \cdot 10^{-14}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y3 \leq -1.85 \cdot 10^{-56}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -5.4 \cdot 10^{-200}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 1.32 \cdot 10^{-83}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.4 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \]

Alternative 20: 28.5% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ t_2 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ t_3 := c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{if}\;y3 \leq -2.2 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq -5.3 \cdot 10^{-28}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y3 \leq 2.4 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y3 \leq 10^{-82}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 3.3 \cdot 10^{+91}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y3 \leq 2.35 \cdot 10^{+175}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* y4 (* y1 (- y3)))))
        (t_2 (* i (* y1 (- (* x j) (* z k)))))
        (t_3 (* c (* i (- (* z t) (* x y))))))
   (if (<= y3 -2.2e+65)
     t_1
     (if (<= y3 -5.3e-28)
       t_3
       (if (<= y3 2.4e-240)
         t_2
         (if (<= y3 1e-82)
           (* b (* j (- (* t y4) (* x y0))))
           (if (<= y3 3.3e+91) t_3 (if (<= y3 2.35e+175) 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 = j * (y4 * (y1 * -y3));
	double t_2 = i * (y1 * ((x * j) - (z * k)));
	double t_3 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (y3 <= -2.2e+65) {
		tmp = t_1;
	} else if (y3 <= -5.3e-28) {
		tmp = t_3;
	} else if (y3 <= 2.4e-240) {
		tmp = t_2;
	} else if (y3 <= 1e-82) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 3.3e+91) {
		tmp = t_3;
	} else if (y3 <= 2.35e+175) {
		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) :: t_3
    real(8) :: tmp
    t_1 = j * (y4 * (y1 * -y3))
    t_2 = i * (y1 * ((x * j) - (z * k)))
    t_3 = c * (i * ((z * t) - (x * y)))
    if (y3 <= (-2.2d+65)) then
        tmp = t_1
    else if (y3 <= (-5.3d-28)) then
        tmp = t_3
    else if (y3 <= 2.4d-240) then
        tmp = t_2
    else if (y3 <= 1d-82) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 3.3d+91) then
        tmp = t_3
    else if (y3 <= 2.35d+175) 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 = j * (y4 * (y1 * -y3));
	double t_2 = i * (y1 * ((x * j) - (z * k)));
	double t_3 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (y3 <= -2.2e+65) {
		tmp = t_1;
	} else if (y3 <= -5.3e-28) {
		tmp = t_3;
	} else if (y3 <= 2.4e-240) {
		tmp = t_2;
	} else if (y3 <= 1e-82) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 3.3e+91) {
		tmp = t_3;
	} else if (y3 <= 2.35e+175) {
		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 = j * (y4 * (y1 * -y3))
	t_2 = i * (y1 * ((x * j) - (z * k)))
	t_3 = c * (i * ((z * t) - (x * y)))
	tmp = 0
	if y3 <= -2.2e+65:
		tmp = t_1
	elif y3 <= -5.3e-28:
		tmp = t_3
	elif y3 <= 2.4e-240:
		tmp = t_2
	elif y3 <= 1e-82:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 3.3e+91:
		tmp = t_3
	elif y3 <= 2.35e+175:
		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(j * Float64(y4 * Float64(y1 * Float64(-y3))))
	t_2 = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))))
	t_3 = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))))
	tmp = 0.0
	if (y3 <= -2.2e+65)
		tmp = t_1;
	elseif (y3 <= -5.3e-28)
		tmp = t_3;
	elseif (y3 <= 2.4e-240)
		tmp = t_2;
	elseif (y3 <= 1e-82)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 3.3e+91)
		tmp = t_3;
	elseif (y3 <= 2.35e+175)
		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 = j * (y4 * (y1 * -y3));
	t_2 = i * (y1 * ((x * j) - (z * k)));
	t_3 = c * (i * ((z * t) - (x * y)));
	tmp = 0.0;
	if (y3 <= -2.2e+65)
		tmp = t_1;
	elseif (y3 <= -5.3e-28)
		tmp = t_3;
	elseif (y3 <= 2.4e-240)
		tmp = t_2;
	elseif (y3 <= 1e-82)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 3.3e+91)
		tmp = t_3;
	elseif (y3 <= 2.35e+175)
		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[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.2e+65], t$95$1, If[LessEqual[y3, -5.3e-28], t$95$3, If[LessEqual[y3, 2.4e-240], t$95$2, If[LessEqual[y3, 1e-82], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.3e+91], t$95$3, If[LessEqual[y3, 2.35e+175], t$95$2, t$95$1]]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y3 < -2.1999999999999998e65 or 2.34999999999999998e175 < y3

   1. Initial program 17.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 39.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 39.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 39.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 46.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 46.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 44.1%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 44.1%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 44.1%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 44.1%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 44.1%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   if -2.1999999999999998e65 < y3 < -5.29999999999999988e-28 or 1e-82 < y3 < 3.30000000000000017e91

   1. Initial program 38.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 33.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 33.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 33.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 33.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 33.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 33.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 33.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 33.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 33.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 43.0%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   if -5.29999999999999988e-28 < y3 < 2.3999999999999999e-240 or 3.30000000000000017e91 < y3 < 2.34999999999999998e175

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 45.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 45.8%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 45.8%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 45.8%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 45.8%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 45.8%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 48.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 48.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 48.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 48.1%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in i around inf 45.1%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 2.3999999999999999e-240 < y3 < 1e-82

   1. Initial program 29.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 38.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 51.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 45.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.2 \cdot 10^{+65}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.3 \cdot 10^{-28}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y3 \leq 2.4 \cdot 10^{-240}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 10^{-82}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 3.3 \cdot 10^{+91}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y3 \leq 2.35 \cdot 10^{+175}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \end{array} \]

Alternative 21: 31.6% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_2 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;t \leq -7.6 \cdot 10^{+196}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -9 \cdot 10^{+80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-104}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{-146}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 0.025:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 250000000000:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_2 (* i (* y1 (- (* x j) (* z k))))))
   (if (<= t -7.6e+196)
     (* j (* t (- (* b y4) (* i y5))))
     (if (<= t -9e+80)
       t_1
       (if (<= t -2.55e-104)
         t_2
         (if (<= t 7.5e-146)
           t_1
           (if (<= t 0.025)
             t_2
             (if (<= t 250000000000.0)
               (* a (* y1 (- (* z y3) (* x y2))))
               (* b (* j (- (* t y4) (* x y0))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (t <= -7.6e+196) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (t <= -9e+80) {
		tmp = t_1;
	} else if (t <= -2.55e-104) {
		tmp = t_2;
	} else if (t <= 7.5e-146) {
		tmp = t_1;
	} else if (t <= 0.025) {
		tmp = t_2;
	} else if (t <= 250000000000.0) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else {
		tmp = b * (j * ((t * y4) - (x * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    t_2 = i * (y1 * ((x * j) - (z * k)))
    if (t <= (-7.6d+196)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (t <= (-9d+80)) then
        tmp = t_1
    else if (t <= (-2.55d-104)) then
        tmp = t_2
    else if (t <= 7.5d-146) then
        tmp = t_1
    else if (t <= 0.025d0) then
        tmp = t_2
    else if (t <= 250000000000.0d0) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else
        tmp = b * (j * ((t * y4) - (x * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (t <= -7.6e+196) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (t <= -9e+80) {
		tmp = t_1;
	} else if (t <= -2.55e-104) {
		tmp = t_2;
	} else if (t <= 7.5e-146) {
		tmp = t_1;
	} else if (t <= 0.025) {
		tmp = t_2;
	} else if (t <= 250000000000.0) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else {
		tmp = b * (j * ((t * y4) - (x * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	t_2 = i * (y1 * ((x * j) - (z * k)))
	tmp = 0
	if t <= -7.6e+196:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif t <= -9e+80:
		tmp = t_1
	elif t <= -2.55e-104:
		tmp = t_2
	elif t <= 7.5e-146:
		tmp = t_1
	elif t <= 0.025:
		tmp = t_2
	elif t <= 250000000000.0:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	else:
		tmp = b * (j * ((t * y4) - (x * 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(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_2 = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))))
	tmp = 0.0
	if (t <= -7.6e+196)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (t <= -9e+80)
		tmp = t_1;
	elseif (t <= -2.55e-104)
		tmp = t_2;
	elseif (t <= 7.5e-146)
		tmp = t_1;
	elseif (t <= 0.025)
		tmp = t_2;
	elseif (t <= 250000000000.0)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	else
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	t_2 = i * (y1 * ((x * j) - (z * k)));
	tmp = 0.0;
	if (t <= -7.6e+196)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (t <= -9e+80)
		tmp = t_1;
	elseif (t <= -2.55e-104)
		tmp = t_2;
	elseif (t <= 7.5e-146)
		tmp = t_1;
	elseif (t <= 0.025)
		tmp = t_2;
	elseif (t <= 250000000000.0)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	else
		tmp = b * (j * ((t * y4) - (x * 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[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -7.6e+196], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -9e+80], t$95$1, If[LessEqual[t, -2.55e-104], t$95$2, If[LessEqual[t, 7.5e-146], t$95$1, If[LessEqual[t, 0.025], t$95$2, If[LessEqual[t, 250000000000.0], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -7.6000000000000003e196

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 33.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 33.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 33.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 57.0%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 57.0%

         \[\leadsto j \cdot \left(t \cdot \left(\color{blue}{y4 \cdot b} - i \cdot y5\right)\right) \]

   7. Simplified 57.0%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]

   if -7.6000000000000003e196 < t < -9.00000000000000013e80 or -2.54999999999999996e-104 < t < 7.49999999999999981e-146

   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 y0 around inf 40.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in c around inf 35.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -9.00000000000000013e80 < t < -2.54999999999999996e-104 or 7.49999999999999981e-146 < t < 0.025000000000000001

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 43.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 43.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 43.3%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 43.3%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 43.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 43.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 49.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 49.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 49.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 49.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 49.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 49.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 49.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 49.3%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in i around inf 41.1%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 0.025000000000000001 < t < 2.5e11

   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 y1 around inf 66.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 66.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 66.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 66.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 66.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 66.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 66.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 66.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 66.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 66.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 66.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 66.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 66.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 66.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 68.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   if 2.5e11 < t

   1. Initial program 24.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 48.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7.6 \cdot 10^{+196}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -9 \cdot 10^{+80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-104}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{-146}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 0.025:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;t \leq 250000000000:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]

Alternative 22: 30.1% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ t_2 := j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{if}\;a \leq -5.5 \cdot 10^{+160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7 \cdot 10^{+59}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-202}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 27500000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+138}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 6.4 \cdot 10^{+162}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y1 (- (* z y3) (* x y2)))))
        (t_2 (* j (* y0 (- (* y3 y5) (* x b))))))
   (if (<= a -5.5e+160)
     t_1
     (if (<= a -7e+59)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= a -3.9e-202)
         (* c (* i (- (* z t) (* x y))))
         (if (<= a 27500000000.0)
           t_2
           (if (<= a 9e+138)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= a 6.4e+162) 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 = a * (y1 * ((z * y3) - (x * y2)));
	double t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	double tmp;
	if (a <= -5.5e+160) {
		tmp = t_1;
	} else if (a <= -7e+59) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -3.9e-202) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 27500000000.0) {
		tmp = t_2;
	} else if (a <= 9e+138) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 6.4e+162) {
		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 = a * (y1 * ((z * y3) - (x * y2)))
    t_2 = j * (y0 * ((y3 * y5) - (x * b)))
    if (a <= (-5.5d+160)) then
        tmp = t_1
    else if (a <= (-7d+59)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (a <= (-3.9d-202)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (a <= 27500000000.0d0) then
        tmp = t_2
    else if (a <= 9d+138) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (a <= 6.4d+162) 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 = a * (y1 * ((z * y3) - (x * y2)));
	double t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	double tmp;
	if (a <= -5.5e+160) {
		tmp = t_1;
	} else if (a <= -7e+59) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (a <= -3.9e-202) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 27500000000.0) {
		tmp = t_2;
	} else if (a <= 9e+138) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (a <= 6.4e+162) {
		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 = a * (y1 * ((z * y3) - (x * y2)))
	t_2 = j * (y0 * ((y3 * y5) - (x * b)))
	tmp = 0
	if a <= -5.5e+160:
		tmp = t_1
	elif a <= -7e+59:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif a <= -3.9e-202:
		tmp = c * (i * ((z * t) - (x * y)))
	elif a <= 27500000000.0:
		tmp = t_2
	elif a <= 9e+138:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif a <= 6.4e+162:
		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(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	t_2 = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))))
	tmp = 0.0
	if (a <= -5.5e+160)
		tmp = t_1;
	elseif (a <= -7e+59)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (a <= -3.9e-202)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (a <= 27500000000.0)
		tmp = t_2;
	elseif (a <= 9e+138)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (a <= 6.4e+162)
		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 = a * (y1 * ((z * y3) - (x * y2)));
	t_2 = j * (y0 * ((y3 * y5) - (x * b)));
	tmp = 0.0;
	if (a <= -5.5e+160)
		tmp = t_1;
	elseif (a <= -7e+59)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (a <= -3.9e-202)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (a <= 27500000000.0)
		tmp = t_2;
	elseif (a <= 9e+138)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (a <= 6.4e+162)
		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[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -5.5e+160], t$95$1, If[LessEqual[a, -7e+59], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.9e-202], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 27500000000.0], t$95$2, If[LessEqual[a, 9e+138], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.4e+162], t$95$2, t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if a < -5.5e160 or 6.4000000000000002e162 < a

   1. Initial program 20.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 55.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 55.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 55.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 55.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 55.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 45.6%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   if -5.5e160 < a < -7e59

   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 j around inf 48.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 48.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 48.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 48.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 48.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 48.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 56.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -7e59 < a < -3.8999999999999999e-202

   1. Initial program 26.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 32.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 32.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 32.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 38.2%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   if -3.8999999999999999e-202 < a < 2.75e10 or 8.99999999999999963e138 < a < 6.4000000000000002e162

   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 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. Step-by-step derivation

      1. +-commutative 45.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 43.0%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 43.0%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 43.0%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.75e10 < a < 8.99999999999999963e138

   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 j around inf 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.9%

         \[\leadsto j \cdot \left(t \cdot \left(\color{blue}{y4 \cdot b} - i \cdot y5\right)\right) \]

   7. Simplified 44.9%

      \[\leadsto j \cdot \color{blue}{\left(t \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 44.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -5.5 \cdot 10^{+160}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -7 \cdot 10^{+59}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-202}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 27500000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+138}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 6.4 \cdot 10^{+162}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]

Alternative 23: 30.5% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.15 \cdot 10^{+138}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3.7 \cdot 10^{-51}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 4.4 \cdot 10^{-240}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 1.6 \cdot 10^{-33}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 7.8 \cdot 10^{+48}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 2.55 \cdot 10^{+184}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.15e+138)
   (* y (* y3 (- (* c y4) (* a y5))))
   (if (<= y3 -3.7e-51)
     (* j (* i (- (* x y1) (* t y5))))
     (if (<= y3 4.4e-240)
       (* i (* y1 (- (* x j) (* z k))))
       (if (<= y3 1.6e-33)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y3 7.8e+48)
           (* y1 (* y4 (- (* k y2) (* j y3))))
           (if (<= y3 2.55e+184)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (* j (* (* y3 y4) (- y1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -1.15e+138) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -3.7e-51) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= 4.4e-240) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 1.6e-33) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 7.8e+48) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 2.55e+184) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y3 <= (-1.15d+138)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y3 <= (-3.7d-51)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (y3 <= 4.4d-240) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y3 <= 1.6d-33) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 7.8d+48) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (y3 <= 2.55d+184) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else
        tmp = j * ((y3 * y4) * -y1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -1.15e+138) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -3.7e-51) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= 4.4e-240) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 1.6e-33) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 7.8e+48) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 2.55e+184) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = j * ((y3 * y4) * -y1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y3 <= -1.15e+138:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y3 <= -3.7e-51:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif y3 <= 4.4e-240:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y3 <= 1.6e-33:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 7.8e+48:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif y3 <= 2.55e+184:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	else:
		tmp = j * ((y3 * y4) * -y1)
	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 (y3 <= -1.15e+138)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y3 <= -3.7e-51)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y3 <= 4.4e-240)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y3 <= 1.6e-33)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 7.8e+48)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y3 <= 2.55e+184)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	else
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y3 <= -1.15e+138)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y3 <= -3.7e-51)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (y3 <= 4.4e-240)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y3 <= 1.6e-33)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 7.8e+48)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (y3 <= 2.55e+184)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	else
		tmp = j * ((y3 * y4) * -y1);
	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[y3, -1.15e+138], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.7e-51], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.4e-240], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.6e-33], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 7.8e+48], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.55e+184], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.15000000000000004e138

   1. Initial program 13.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 9.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 36.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 56.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -1.15000000000000004e138 < y3 < -3.69999999999999973e-51

   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 j around inf 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in i around -inf 43.1%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 43.1%

         \[\leadsto j \cdot \color{blue}{\left(-i \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

      2. *-commutative 43.1%

         \[\leadsto j \cdot \left(-i \cdot \left(t \cdot y5 - \color{blue}{y1 \cdot x}\right)\right) \]

   7. Simplified 43.1%

      \[\leadsto j \cdot \color{blue}{\left(-i \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

   if -3.69999999999999973e-51 < y3 < 4.3999999999999999e-240

   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 y1 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 46.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 46.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 46.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 48.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 48.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 48.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 48.3%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in i around inf 43.9%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 4.3999999999999999e-240 < y3 < 1.59999999999999988e-33

   1. Initial program 28.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 38.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 49.2%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.59999999999999988e-33 < y3 < 7.8000000000000002e48

   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 y1 around inf 53.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 53.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 53.3%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 53.3%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 53.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 53.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 58.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 58.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 58.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 58.5%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 58.5%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 58.5%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 58.5%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 58.5%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in y4 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(-1 \cdot \left(j \cdot y3\right) + k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 46.7%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(\color{blue}{\left(-j \cdot y3\right)} + k \cdot y2\right)\right) \]

      2. +-commutative 46.7%

         \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2 + \left(-j \cdot y3\right)\right)}\right) \]

      3. sub-neg 46.7%

         \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2 - j \cdot y3\right)}\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(\color{blue}{y2 \cdot k} - j \cdot y3\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(y4 \cdot \left(y2 \cdot k - \color{blue}{y3 \cdot j}\right)\right) \]

   7. Simplified 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(y2 \cdot k - y3 \cdot j\right)\right)} \]

   if 7.8000000000000002e48 < y3 < 2.5500000000000001e184

   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 j around inf 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. sub-neg 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 52.3%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 52.3%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.5500000000000001e184 < y3

   1. Initial program 8.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 36.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 36.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 36.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 36.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 36.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 52.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 52.8%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. *-commutative 52.8%

         \[\leadsto -\color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot j} \]

      3. distribute-rgt-neg-in 52.8%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot y4\right)\right) \cdot \left(-j\right)} \]

      4. *-commutative 52.8%

         \[\leadsto \left(y1 \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \cdot \left(-j\right) \]

   10. Simplified 52.8%

       \[\leadsto \color{blue}{\left(y1 \cdot \left(y4 \cdot y3\right)\right) \cdot \left(-j\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.15 \cdot 10^{+138}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3.7 \cdot 10^{-51}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 4.4 \cdot 10^{-240}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 1.6 \cdot 10^{-33}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 7.8 \cdot 10^{+48}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 2.55 \cdot 10^{+184}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \end{array} \]

Alternative 24: 30.7% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.6 \cdot 10^{+139}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-52}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 1.52 \cdot 10^{-239}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 2.8 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.65 \cdot 10^{+172}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.6e+139)
   (* y (* y3 (- (* c y4) (* a y5))))
   (if (<= y3 -5.8e-52)
     (* j (* i (- (* x y1) (* t y5))))
     (if (<= y3 1.52e-239)
       (* i (* y1 (- (* x j) (* z k))))
       (if (<= y3 5.8e-80)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y3 2.8e+58)
           (* y (* k (- (* i y5) (* b y4))))
           (if (<= y3 2.65e+172)
             (* y (* x (- (* a b) (* c i))))
             (* j (* y4 (- (* t b) (* y1 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 (y3 <= -1.6e+139) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -5.8e-52) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= 1.52e-239) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 5.8e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 2.8e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 2.65e+172) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= (-1.6d+139)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y3 <= (-5.8d-52)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (y3 <= 1.52d-239) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y3 <= 5.8d-80) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 2.8d+58) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else if (y3 <= 2.65d+172) then
        tmp = y * (x * ((a * b) - (c * i)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.6e+139) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -5.8e-52) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y3 <= 1.52e-239) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 5.8e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 2.8e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 2.65e+172) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 y3 <= -1.6e+139:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y3 <= -5.8e-52:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif y3 <= 1.52e-239:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y3 <= 5.8e-80:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 2.8e+58:
		tmp = y * (k * ((i * y5) - (b * y4)))
	elif y3 <= 2.65e+172:
		tmp = y * (x * ((a * b) - (c * i)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.6e+139)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y3 <= -5.8e-52)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y3 <= 1.52e-239)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y3 <= 5.8e-80)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 2.8e+58)
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y3 <= 2.65e+172)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * 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 (y3 <= -1.6e+139)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y3 <= -5.8e-52)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (y3 <= 1.52e-239)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y3 <= 5.8e-80)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 2.8e+58)
		tmp = y * (k * ((i * y5) - (b * y4)));
	elseif (y3 <= 2.65e+172)
		tmp = y * (x * ((a * b) - (c * i)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * 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[y3, -1.6e+139], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.8e-52], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.52e-239], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5.8e-80], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.8e+58], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.65e+172], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.6000000000000001e139

   1. Initial program 13.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 9.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 36.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 56.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -1.6000000000000001e139 < y3 < -5.8000000000000003e-52

   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 j around inf 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in i around -inf 43.1%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 43.1%

         \[\leadsto j \cdot \color{blue}{\left(-i \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

      2. *-commutative 43.1%

         \[\leadsto j \cdot \left(-i \cdot \left(t \cdot y5 - \color{blue}{y1 \cdot x}\right)\right) \]

   7. Simplified 43.1%

      \[\leadsto j \cdot \color{blue}{\left(-i \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

   if -5.8000000000000003e-52 < y3 < 1.51999999999999995e-239

   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 y1 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 46.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 46.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 46.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 48.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 48.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 48.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 48.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 48.3%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in i around inf 43.9%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 1.51999999999999995e-239 < y3 < 5.79999999999999996e-80

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 52.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 5.79999999999999996e-80 < y3 < 2.7999999999999998e58

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 22.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 43.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in k around inf 43.9%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto y \cdot \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

      2. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right) \]

      3. fma-udef 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)}\right) \]

      4. distribute-rgt-neg-in 43.9%

         \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)\right)\right)} \]

      5. fma-udef 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right)\right) \]

      6. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 - i \cdot y5\right)}\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]

   if 2.7999999999999998e58 < y3 < 2.65e172

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 20.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 48.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in x around inf 52.9%

      \[\leadsto y \cdot \color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 2.65e172 < y3

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.5%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.6 \cdot 10^{+139}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-52}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 1.52 \cdot 10^{-239}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 2.8 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.65 \cdot 10^{+172}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 25: 30.0% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.7 \cdot 10^{+199}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.4 \cdot 10^{-28}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 6.8 \cdot 10^{-241}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 8 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 4.1 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.05 \cdot 10^{+172}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.7e+199)
   (* j (* y4 (* y1 (- y3))))
   (if (<= y3 -3.4e-28)
     (* j (* y5 (- (* y0 y3) (* t i))))
     (if (<= y3 6.8e-241)
       (* i (* y1 (- (* x j) (* z k))))
       (if (<= y3 8e-80)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y3 4.1e+58)
           (* y (* k (- (* i y5) (* b y4))))
           (if (<= y3 1.05e+172)
             (* y (* x (- (* a b) (* c i))))
             (* j (* y4 (- (* t b) (* y1 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 (y3 <= -1.7e+199) {
		tmp = j * (y4 * (y1 * -y3));
	} else if (y3 <= -3.4e-28) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= 6.8e-241) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 8e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 4.1e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 1.05e+172) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= (-1.7d+199)) then
        tmp = j * (y4 * (y1 * -y3))
    else if (y3 <= (-3.4d-28)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y3 <= 6.8d-241) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y3 <= 8d-80) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 4.1d+58) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else if (y3 <= 1.05d+172) then
        tmp = y * (x * ((a * b) - (c * i)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.7e+199) {
		tmp = j * (y4 * (y1 * -y3));
	} else if (y3 <= -3.4e-28) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= 6.8e-241) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y3 <= 8e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 4.1e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 1.05e+172) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 y3 <= -1.7e+199:
		tmp = j * (y4 * (y1 * -y3))
	elif y3 <= -3.4e-28:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y3 <= 6.8e-241:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y3 <= 8e-80:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 4.1e+58:
		tmp = y * (k * ((i * y5) - (b * y4)))
	elif y3 <= 1.05e+172:
		tmp = y * (x * ((a * b) - (c * i)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.7e+199)
		tmp = Float64(j * Float64(y4 * Float64(y1 * Float64(-y3))));
	elseif (y3 <= -3.4e-28)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y3 <= 6.8e-241)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y3 <= 8e-80)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 4.1e+58)
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y3 <= 1.05e+172)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * 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 (y3 <= -1.7e+199)
		tmp = j * (y4 * (y1 * -y3));
	elseif (y3 <= -3.4e-28)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y3 <= 6.8e-241)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y3 <= 8e-80)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 4.1e+58)
		tmp = y * (k * ((i * y5) - (b * y4)));
	elseif (y3 <= 1.05e+172)
		tmp = y * (x * ((a * b) - (c * i)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * 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[y3, -1.7e+199], N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.4e-28], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 6.8e-241], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 8e-80], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.1e+58], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.05e+172], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.7e199

   1. Initial program 10.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 59.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 59.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 59.4%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 59.4%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   if -1.7e199 < y3 < -3.4000000000000001e-28

   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 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. Step-by-step derivation

      1. +-commutative 42.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y5 around -inf 47.1%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 47.1%

         \[\leadsto \color{blue}{\left(-1 \cdot j\right) \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)} \]

      2. neg-mul-1 47.1%

         \[\leadsto \color{blue}{\left(-j\right)} \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \]

      3. *-commutative 47.1%

         \[\leadsto \left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - \color{blue}{y3 \cdot y0}\right)\right) \]

   7. Simplified 47.1%

      \[\leadsto \color{blue}{\left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - y3 \cdot y0\right)\right)} \]

   if -3.4000000000000001e-28 < y3 < 6.7999999999999998e-241

   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 y1 around inf 46.1%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 46.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 46.1%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 46.1%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 49.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 49.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 49.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 49.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 49.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 49.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 49.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 49.1%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in i around inf 43.5%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 6.7999999999999998e-241 < y3 < 7.99999999999999969e-80

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 52.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 7.99999999999999969e-80 < y3 < 4.1e58

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 22.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 43.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in k around inf 43.9%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto y \cdot \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

      2. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right) \]

      3. fma-udef 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)}\right) \]

      4. distribute-rgt-neg-in 43.9%

         \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)\right)\right)} \]

      5. fma-udef 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right)\right) \]

      6. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 - i \cdot y5\right)}\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]

   if 4.1e58 < y3 < 1.0500000000000001e172

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 20.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 48.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in x around inf 52.9%

      \[\leadsto y \cdot \color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 1.0500000000000001e172 < y3

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.5%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.7 \cdot 10^{+199}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.4 \cdot 10^{-28}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 6.8 \cdot 10^{-241}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 8 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 4.1 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.05 \cdot 10^{+172}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 26: 30.2% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.46 \cdot 10^{+199}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.2 \cdot 10^{-13}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-293}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.9 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.55 \cdot 10^{+175}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.46e+199)
   (* j (* y4 (* y1 (- y3))))
   (if (<= y3 -3.2e-13)
     (* j (* y5 (- (* y0 y3) (* t i))))
     (if (<= y3 -1.7e-293)
       (* x (* y1 (- (* i j) (* a y2))))
       (if (<= y3 2.9e-80)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y3 4.8e+58)
           (* y (* k (- (* i y5) (* b y4))))
           (if (<= y3 1.55e+175)
             (* y (* x (- (* a b) (* c i))))
             (* j (* y4 (- (* t b) (* y1 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 (y3 <= -1.46e+199) {
		tmp = j * (y4 * (y1 * -y3));
	} else if (y3 <= -3.2e-13) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= -1.7e-293) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 2.9e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 4.8e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 1.55e+175) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= (-1.46d+199)) then
        tmp = j * (y4 * (y1 * -y3))
    else if (y3 <= (-3.2d-13)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y3 <= (-1.7d-293)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (y3 <= 2.9d-80) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 4.8d+58) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else if (y3 <= 1.55d+175) then
        tmp = y * (x * ((a * b) - (c * i)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.46e+199) {
		tmp = j * (y4 * (y1 * -y3));
	} else if (y3 <= -3.2e-13) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= -1.7e-293) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 2.9e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 4.8e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 1.55e+175) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 y3 <= -1.46e+199:
		tmp = j * (y4 * (y1 * -y3))
	elif y3 <= -3.2e-13:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y3 <= -1.7e-293:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif y3 <= 2.9e-80:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 4.8e+58:
		tmp = y * (k * ((i * y5) - (b * y4)))
	elif y3 <= 1.55e+175:
		tmp = y * (x * ((a * b) - (c * i)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.46e+199)
		tmp = Float64(j * Float64(y4 * Float64(y1 * Float64(-y3))));
	elseif (y3 <= -3.2e-13)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y3 <= -1.7e-293)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (y3 <= 2.9e-80)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 4.8e+58)
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y3 <= 1.55e+175)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * 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 (y3 <= -1.46e+199)
		tmp = j * (y4 * (y1 * -y3));
	elseif (y3 <= -3.2e-13)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y3 <= -1.7e-293)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (y3 <= 2.9e-80)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 4.8e+58)
		tmp = y * (k * ((i * y5) - (b * y4)));
	elseif (y3 <= 1.55e+175)
		tmp = y * (x * ((a * b) - (c * i)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * 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[y3, -1.46e+199], N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.2e-13], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.7e-293], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.9e-80], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.8e+58], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.55e+175], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.46e199

   1. Initial program 10.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 59.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 59.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 59.4%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 59.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 59.4%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   if -1.46e199 < y3 < -3.2e-13

   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 j around inf 46.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 46.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 46.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y5 around -inf 50.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.8%

         \[\leadsto \color{blue}{\left(-1 \cdot j\right) \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)} \]

      2. neg-mul-1 50.8%

         \[\leadsto \color{blue}{\left(-j\right)} \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \]

      3. *-commutative 50.8%

         \[\leadsto \left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - \color{blue}{y3 \cdot y0}\right)\right) \]

   7. Simplified 50.8%

      \[\leadsto \color{blue}{\left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - y3 \cdot y0\right)\right)} \]

   if -3.2e-13 < y3 < -1.7e-293

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 48.9%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 48.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 48.9%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 48.9%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 48.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 48.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 50.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in x around inf 47.3%

      \[\leadsto \color{blue}{x \cdot \left(y1 \cdot \left(-1 \cdot \left(a \cdot y2\right) + i \cdot j\right)\right)} \]

   if -1.7e-293 < y3 < 2.89999999999999998e-80

   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 j around inf 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 49.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 2.89999999999999998e-80 < y3 < 4.8e58

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 22.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 43.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in k around inf 43.9%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto y \cdot \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

      2. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right) \]

      3. fma-udef 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)}\right) \]

      4. distribute-rgt-neg-in 43.9%

         \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)\right)\right)} \]

      5. fma-udef 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right)\right) \]

      6. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 - i \cdot y5\right)}\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]

   if 4.8e58 < y3 < 1.54999999999999992e175

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 20.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 48.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in x around inf 52.9%

      \[\leadsto y \cdot \color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 1.54999999999999992e175 < y3

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.5%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 50.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.46 \cdot 10^{+199}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.2 \cdot 10^{-13}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-293}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.9 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.55 \cdot 10^{+175}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 27: 32.0% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.25 \cdot 10^{+82}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-13}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -2.5 \cdot 10^{-295}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 9.8 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+172}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.25e+82)
   (* y1 (* y3 (- (* z a) (* j y4))))
   (if (<= y3 -7.2e-13)
     (* j (* y5 (- (* y0 y3) (* t i))))
     (if (<= y3 -2.5e-295)
       (* x (* y1 (- (* i j) (* a y2))))
       (if (<= y3 9.8e-80)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y3 2.6e+58)
           (* y (* k (- (* i y5) (* b y4))))
           (if (<= y3 3.1e+172)
             (* y (* x (- (* a b) (* c i))))
             (* j (* y4 (- (* t b) (* y1 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 (y3 <= -1.25e+82) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -7.2e-13) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= -2.5e-295) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 9.8e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 2.6e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 3.1e+172) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= (-1.25d+82)) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y3 <= (-7.2d-13)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y3 <= (-2.5d-295)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (y3 <= 9.8d-80) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y3 <= 2.6d+58) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else if (y3 <= 3.1d+172) then
        tmp = y * (x * ((a * b) - (c * i)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.25e+82) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y3 <= -7.2e-13) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y3 <= -2.5e-295) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y3 <= 9.8e-80) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y3 <= 2.6e+58) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else if (y3 <= 3.1e+172) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * 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 y3 <= -1.25e+82:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y3 <= -7.2e-13:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y3 <= -2.5e-295:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif y3 <= 9.8e-80:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y3 <= 2.6e+58:
		tmp = y * (k * ((i * y5) - (b * y4)))
	elif y3 <= 3.1e+172:
		tmp = y * (x * ((a * b) - (c * i)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * 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 (y3 <= -1.25e+82)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y3 <= -7.2e-13)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y3 <= -2.5e-295)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (y3 <= 9.8e-80)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y3 <= 2.6e+58)
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y3 <= 3.1e+172)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * 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 (y3 <= -1.25e+82)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y3 <= -7.2e-13)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y3 <= -2.5e-295)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (y3 <= 9.8e-80)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y3 <= 2.6e+58)
		tmp = y * (k * ((i * y5) - (b * y4)));
	elseif (y3 <= 3.1e+172)
		tmp = y * (x * ((a * b) - (c * i)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * 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[y3, -1.25e+82], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7.2e-13], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.5e-295], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9.8e-80], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.6e+58], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.1e+172], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.25000000000000004e82

   1. Initial program 16.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 44.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 44.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 44.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 44.0%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 44.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 44.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 46.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 46.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 46.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 46.3%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 46.3%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 53.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(j \cdot y4\right) + a \cdot z\right)\right)} \]

   if -1.25000000000000004e82 < y3 < -7.1999999999999996e-13

   1. Initial program 39.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 57.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 57.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 57.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 57.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 57.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y5 around -inf 53.3%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 53.3%

         \[\leadsto \color{blue}{\left(-1 \cdot j\right) \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)} \]

      2. neg-mul-1 53.3%

         \[\leadsto \color{blue}{\left(-j\right)} \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \]

      3. *-commutative 53.3%

         \[\leadsto \left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - \color{blue}{y3 \cdot y0}\right)\right) \]

   7. Simplified 53.3%

      \[\leadsto \color{blue}{\left(-j\right) \cdot \left(y5 \cdot \left(i \cdot t - y3 \cdot y0\right)\right)} \]

   if -7.1999999999999996e-13 < y3 < -2.50000000000000004e-295

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 48.9%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 48.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 48.9%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 48.9%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 48.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 48.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 50.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 50.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in x around inf 47.3%

      \[\leadsto \color{blue}{x \cdot \left(y1 \cdot \left(-1 \cdot \left(a \cdot y2\right) + i \cdot j\right)\right)} \]

   if -2.50000000000000004e-295 < y3 < 9.79999999999999981e-80

   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 j around inf 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 49.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 9.79999999999999981e-80 < y3 < 2.59999999999999988e58

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 22.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 43.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in k around inf 43.9%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto y \cdot \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

      2. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right) \]

      3. fma-udef 43.9%

         \[\leadsto y \cdot \left(-k \cdot \color{blue}{\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)}\right) \]

      4. distribute-rgt-neg-in 43.9%

         \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\mathsf{fma}\left(b, y4, \left(-i\right) \cdot y5\right)\right)\right)} \]

      5. fma-udef 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 + \left(-i\right) \cdot y5\right)}\right)\right) \]

      6. cancel-sign-sub-inv 43.9%

         \[\leadsto y \cdot \left(k \cdot \left(-\color{blue}{\left(b \cdot y4 - i \cdot y5\right)}\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto y \cdot \color{blue}{\left(k \cdot \left(-\left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]

   if 2.59999999999999988e58 < y3 < 3.09999999999999988e172

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 20.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in y around inf 48.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in x around inf 52.9%

      \[\leadsto y \cdot \color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 3.09999999999999988e172 < y3

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 41.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 41.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 52.5%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 52.5%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 50.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.25 \cdot 10^{+82}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-13}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -2.5 \cdot 10^{-295}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 9.8 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{+58}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+172}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 28: 20.3% accurate, 4.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;b \leq -1.55 \cdot 10^{+202}:\\ \;\;\;\;\left(-a\right) \cdot \left(b \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -5.2 \cdot 10^{-294}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{-215}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{-10}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+114}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 5 \cdot 10^{+247}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (* x b)))))
   (if (<= b -1.55e+202)
     (* (- a) (* b (* z t)))
     (if (<= b -8.5e+56)
       t_1
       (if (<= b -5.2e-294)
         (* a (* y1 (* z y3)))
         (if (<= b 2.1e-215)
           (* c (* z (* t i)))
           (if (<= b 2.4e-10)
             (* a (* y1 (* x (- y2))))
             (if (<= b 5.8e+114)
               t_1
               (if (<= b 5e+247)
                 (* a (* x (- (* y1 y2))))
                 (* 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 t_1 = a * (y * (x * b));
	double tmp;
	if (b <= -1.55e+202) {
		tmp = -a * (b * (z * t));
	} else if (b <= -8.5e+56) {
		tmp = t_1;
	} else if (b <= -5.2e-294) {
		tmp = a * (y1 * (z * y3));
	} else if (b <= 2.1e-215) {
		tmp = c * (z * (t * i));
	} else if (b <= 2.4e-10) {
		tmp = a * (y1 * (x * -y2));
	} else if (b <= 5.8e+114) {
		tmp = t_1;
	} else if (b <= 5e+247) {
		tmp = a * (x * -(y1 * y2));
	} 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) :: t_1
    real(8) :: tmp
    t_1 = a * (y * (x * b))
    if (b <= (-1.55d+202)) then
        tmp = -a * (b * (z * t))
    else if (b <= (-8.5d+56)) then
        tmp = t_1
    else if (b <= (-5.2d-294)) then
        tmp = a * (y1 * (z * y3))
    else if (b <= 2.1d-215) then
        tmp = c * (z * (t * i))
    else if (b <= 2.4d-10) then
        tmp = a * (y1 * (x * -y2))
    else if (b <= 5.8d+114) then
        tmp = t_1
    else if (b <= 5d+247) then
        tmp = a * (x * -(y1 * y2))
    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 t_1 = a * (y * (x * b));
	double tmp;
	if (b <= -1.55e+202) {
		tmp = -a * (b * (z * t));
	} else if (b <= -8.5e+56) {
		tmp = t_1;
	} else if (b <= -5.2e-294) {
		tmp = a * (y1 * (z * y3));
	} else if (b <= 2.1e-215) {
		tmp = c * (z * (t * i));
	} else if (b <= 2.4e-10) {
		tmp = a * (y1 * (x * -y2));
	} else if (b <= 5.8e+114) {
		tmp = t_1;
	} else if (b <= 5e+247) {
		tmp = a * (x * -(y1 * y2));
	} 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):
	t_1 = a * (y * (x * b))
	tmp = 0
	if b <= -1.55e+202:
		tmp = -a * (b * (z * t))
	elif b <= -8.5e+56:
		tmp = t_1
	elif b <= -5.2e-294:
		tmp = a * (y1 * (z * y3))
	elif b <= 2.1e-215:
		tmp = c * (z * (t * i))
	elif b <= 2.4e-10:
		tmp = a * (y1 * (x * -y2))
	elif b <= 5.8e+114:
		tmp = t_1
	elif b <= 5e+247:
		tmp = a * (x * -(y1 * y2))
	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)
	t_1 = Float64(a * Float64(y * Float64(x * b)))
	tmp = 0.0
	if (b <= -1.55e+202)
		tmp = Float64(Float64(-a) * Float64(b * Float64(z * t)));
	elseif (b <= -8.5e+56)
		tmp = t_1;
	elseif (b <= -5.2e-294)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (b <= 2.1e-215)
		tmp = Float64(c * Float64(z * Float64(t * i)));
	elseif (b <= 2.4e-10)
		tmp = Float64(a * Float64(y1 * Float64(x * Float64(-y2))));
	elseif (b <= 5.8e+114)
		tmp = t_1;
	elseif (b <= 5e+247)
		tmp = Float64(a * Float64(x * Float64(-Float64(y1 * y2))));
	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)
	t_1 = a * (y * (x * b));
	tmp = 0.0;
	if (b <= -1.55e+202)
		tmp = -a * (b * (z * t));
	elseif (b <= -8.5e+56)
		tmp = t_1;
	elseif (b <= -5.2e-294)
		tmp = a * (y1 * (z * y3));
	elseif (b <= 2.1e-215)
		tmp = c * (z * (t * i));
	elseif (b <= 2.4e-10)
		tmp = a * (y1 * (x * -y2));
	elseif (b <= 5.8e+114)
		tmp = t_1;
	elseif (b <= 5e+247)
		tmp = a * (x * -(y1 * y2));
	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_] := Block[{t$95$1 = N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.55e+202], N[((-a) * N[(b * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8.5e+56], t$95$1, If[LessEqual[b, -5.2e-294], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.1e-215], N[(c * N[(z * N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.4e-10], N[(a * N[(y1 * N[(x * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.8e+114], t$95$1, If[LessEqual[b, 5e+247], N[(a * N[(x * (-N[(y1 * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -1.54999999999999996e202

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 11.1%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 77.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 77.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 77.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 77.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 77.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 77.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in z around inf 56.7%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 56.7%

         \[\leadsto \color{blue}{-a \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. distribute-rgt-neg-in 56.7%

         \[\leadsto \color{blue}{a \cdot \left(-b \cdot \left(t \cdot z\right)\right)} \]

      3. distribute-rgt-neg-in 56.7%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(-t \cdot z\right)\right)} \]

      4. distribute-rgt-neg-in 56.7%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(-z\right)\right)}\right) \]

   8. Simplified 56.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)} \]

   if -1.54999999999999996e202 < b < -8.4999999999999998e56 or 2.4e-10 < b < 5.8000000000000001e114

   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 y1 around 0 19.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 34.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 34.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 34.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 34.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 34.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 34.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 30.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 37.1%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

      2. *-commutative 37.1%

         \[\leadsto a \cdot \left(\color{blue}{\left(x \cdot b\right)} \cdot y\right) \]

   8. Simplified 37.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(x \cdot b\right) \cdot y\right)} \]

   if -8.4999999999999998e56 < b < -5.1999999999999999e-294

   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 y1 around inf 33.2%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 33.2%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 33.2%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 33.2%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 33.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 33.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 33.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 33.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 33.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 33.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 33.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 33.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 33.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 33.2%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 29.4%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 22.9%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if -5.1999999999999999e-294 < b < 2.1e-215

   1. Initial program 59.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 51.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 51.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 51.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 51.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 51.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 51.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 51.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 51.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 51.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 35.8%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 27.3%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 35.2%

         \[\leadsto c \cdot \color{blue}{\left(\left(i \cdot t\right) \cdot z\right)} \]

   8. Simplified 35.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot t\right) \cdot z\right)} \]

   if 2.1e-215 < b < 2.4e-10

   1. Initial program 35.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 46.1%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 46.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 46.1%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 46.1%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 50.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 50.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 50.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 50.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 50.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 50.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 50.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 50.9%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 34.6%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around 0 29.9%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-1 \cdot \left(x \cdot y2\right)\right)}\right) \]
   7. Step-by-step derivation

      1. mul-1-neg 29.9%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-x \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 29.9%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(\left(-x\right) \cdot y2\right)}\right) \]

      3. *-commutative 29.9%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   8. Simplified 29.9%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   if 5.8000000000000001e114 < b < 5.00000000000000023e247

   1. Initial program 22.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 51.9%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 51.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 51.9%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 51.9%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 51.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 51.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 51.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 51.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 51.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 51.9%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 51.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 51.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 51.9%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 51.9%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 34.2%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around 0 38.7%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(x \cdot \left(y1 \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 38.7%

         \[\leadsto a \cdot \color{blue}{\left(-x \cdot \left(y1 \cdot y2\right)\right)} \]

      2. *-commutative 38.7%

         \[\leadsto a \cdot \left(-\color{blue}{\left(y1 \cdot y2\right) \cdot x}\right) \]

      3. distribute-rgt-neg-in 38.7%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot \left(-x\right)\right)} \]

   8. Simplified 38.7%

      \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot \left(-x\right)\right)} \]

   if 5.00000000000000023e247 < b

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 26.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 33.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 33.6%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 33.6%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 33.6%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 33.6%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 33.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 47.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. expm1-log1p-u 27.9%

         \[\leadsto \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)\right)} \]

      2. expm1-udef 28.0%

         \[\leadsto \color{blue}{e^{\mathsf{log1p}\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)} - 1} \]

      3. associate-*r* 27.9%

         \[\leadsto e^{\mathsf{log1p}\left(\color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)}\right)} - 1 \]

      4. *-commutative 27.9%

         \[\leadsto e^{\mathsf{log1p}\left(\color{blue}{\left(b \cdot a\right)} \cdot \left(x \cdot y\right)\right)} - 1 \]

      5. *-commutative 27.9%

         \[\leadsto e^{\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \color{blue}{\left(y \cdot x\right)}\right)} - 1 \]

   8. Applied egg-rr 27.9%

      \[\leadsto \color{blue}{e^{\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \left(y \cdot x\right)\right)} - 1} \]
   9. Step-by-step derivation

      1. expm1-def 27.8%

         \[\leadsto \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \left(y \cdot x\right)\right)\right)} \]

      2. expm1-log1p 47.8%

         \[\leadsto \color{blue}{\left(b \cdot a\right) \cdot \left(y \cdot x\right)} \]

      3. *-commutative 47.8%

         \[\leadsto \color{blue}{\left(y \cdot x\right) \cdot \left(b \cdot a\right)} \]

      4. *-commutative 47.8%

         \[\leadsto \left(y \cdot x\right) \cdot \color{blue}{\left(a \cdot b\right)} \]

      5. associate-*r* 48.0%

         \[\leadsto \color{blue}{\left(\left(y \cdot x\right) \cdot a\right) \cdot b} \]

      6. associate-*r* 48.1%

         \[\leadsto \color{blue}{\left(y \cdot \left(x \cdot a\right)\right)} \cdot b \]

   10. Simplified 48.1%

       \[\leadsto \color{blue}{\left(y \cdot \left(x \cdot a\right)\right) \cdot b} \]
3. Recombined 7 regimes into one program.

4. Final simplification 34.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.55 \cdot 10^{+202}:\\ \;\;\;\;\left(-a\right) \cdot \left(b \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;b \leq -5.2 \cdot 10^{-294}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{-215}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{-10}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+114}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{+247}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 29: 26.8% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{if}\;i \leq -5.4 \cdot 10^{+154}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 9.5 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.32 \cdot 10^{-110}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(c \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;i \leq 3400000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{+82} \lor \neg \left(i \leq 5.6 \cdot 10^{+198}\right):\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y1 (- (* z y3) (* x y2))))))
   (if (<= i -5.4e+154)
     (* c (* z (* t i)))
     (if (<= i 9.5e-187)
       t_1
       (if (<= i 1.32e-110)
         (* y0 (* z (* c (- y3))))
         (if (<= i 3400000000000.0)
           t_1
           (if (or (<= i 1.5e+82) (not (<= i 5.6e+198)))
             (* c (* y (* i (- x))))
             (* j (* y4 (* y1 (- 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 = a * (y1 * ((z * y3) - (x * y2)));
	double tmp;
	if (i <= -5.4e+154) {
		tmp = c * (z * (t * i));
	} else if (i <= 9.5e-187) {
		tmp = t_1;
	} else if (i <= 1.32e-110) {
		tmp = y0 * (z * (c * -y3));
	} else if (i <= 3400000000000.0) {
		tmp = t_1;
	} else if ((i <= 1.5e+82) || !(i <= 5.6e+198)) {
		tmp = c * (y * (i * -x));
	} else {
		tmp = j * (y4 * (y1 * -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 = a * (y1 * ((z * y3) - (x * y2)))
    if (i <= (-5.4d+154)) then
        tmp = c * (z * (t * i))
    else if (i <= 9.5d-187) then
        tmp = t_1
    else if (i <= 1.32d-110) then
        tmp = y0 * (z * (c * -y3))
    else if (i <= 3400000000000.0d0) then
        tmp = t_1
    else if ((i <= 1.5d+82) .or. (.not. (i <= 5.6d+198))) then
        tmp = c * (y * (i * -x))
    else
        tmp = j * (y4 * (y1 * -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 = a * (y1 * ((z * y3) - (x * y2)));
	double tmp;
	if (i <= -5.4e+154) {
		tmp = c * (z * (t * i));
	} else if (i <= 9.5e-187) {
		tmp = t_1;
	} else if (i <= 1.32e-110) {
		tmp = y0 * (z * (c * -y3));
	} else if (i <= 3400000000000.0) {
		tmp = t_1;
	} else if ((i <= 1.5e+82) || !(i <= 5.6e+198)) {
		tmp = c * (y * (i * -x));
	} else {
		tmp = j * (y4 * (y1 * -y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y1 * ((z * y3) - (x * y2)))
	tmp = 0
	if i <= -5.4e+154:
		tmp = c * (z * (t * i))
	elif i <= 9.5e-187:
		tmp = t_1
	elif i <= 1.32e-110:
		tmp = y0 * (z * (c * -y3))
	elif i <= 3400000000000.0:
		tmp = t_1
	elif (i <= 1.5e+82) or not (i <= 5.6e+198):
		tmp = c * (y * (i * -x))
	else:
		tmp = j * (y4 * (y1 * -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(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	tmp = 0.0
	if (i <= -5.4e+154)
		tmp = Float64(c * Float64(z * Float64(t * i)));
	elseif (i <= 9.5e-187)
		tmp = t_1;
	elseif (i <= 1.32e-110)
		tmp = Float64(y0 * Float64(z * Float64(c * Float64(-y3))));
	elseif (i <= 3400000000000.0)
		tmp = t_1;
	elseif ((i <= 1.5e+82) || !(i <= 5.6e+198))
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	else
		tmp = Float64(j * Float64(y4 * Float64(y1 * Float64(-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 = a * (y1 * ((z * y3) - (x * y2)));
	tmp = 0.0;
	if (i <= -5.4e+154)
		tmp = c * (z * (t * i));
	elseif (i <= 9.5e-187)
		tmp = t_1;
	elseif (i <= 1.32e-110)
		tmp = y0 * (z * (c * -y3));
	elseif (i <= 3400000000000.0)
		tmp = t_1;
	elseif ((i <= 1.5e+82) || ~((i <= 5.6e+198)))
		tmp = c * (y * (i * -x));
	else
		tmp = j * (y4 * (y1 * -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[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -5.4e+154], N[(c * N[(z * N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 9.5e-187], t$95$1, If[LessEqual[i, 1.32e-110], N[(y0 * N[(z * N[(c * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3400000000000.0], t$95$1, If[Or[LessEqual[i, 1.5e+82], N[Not[LessEqual[i, 5.6e+198]], $MachinePrecision]], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if i < -5.40000000000000011e154

   1. Initial program 31.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 38.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 38.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 38.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 38.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 38.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 38.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 38.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 38.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 38.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 48.7%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 42.2%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 52.2%

         \[\leadsto c \cdot \color{blue}{\left(\left(i \cdot t\right) \cdot z\right)} \]

   8. Simplified 52.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot t\right) \cdot z\right)} \]

   if -5.40000000000000011e154 < i < 9.49999999999999936e-187 or 1.32e-110 < i < 3.4e12

   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 y1 around inf 46.1%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 46.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 46.1%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 46.1%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 48.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 48.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 48.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 48.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 48.1%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 35.9%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   if 9.49999999999999936e-187 < i < 1.32e-110

   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 y0 around inf 47.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 55.1%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 55.1%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 55.1%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 55.1%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 55.1%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around inf 47.5%

      \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(c \cdot y3\right)}\right) \]
   7. Step-by-step derivation

      1. *-commutative 47.5%

         \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(y3 \cdot c\right)}\right) \]

   8. Simplified 47.5%

      \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(y3 \cdot c\right)}\right) \]

   if 3.4e12 < i < 1.49999999999999995e82 or 5.59999999999999999e198 < i

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 20.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 20.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 20.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 20.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 20.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 20.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 20.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 20.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 20.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 53.4%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around 0 44.0%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 44.0%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 44.0%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. *-commutative 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(x \cdot i\right)} \cdot y\right) \]

   8. Simplified 46.4%

      \[\leadsto \color{blue}{c \cdot \left(-\left(x \cdot i\right) \cdot y\right)} \]

   if 1.49999999999999995e82 < i < 5.59999999999999999e198

   1. Initial program 9.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 37.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 37.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 37.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 37.4%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 37.4%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 46.4%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 46.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 46.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 46.4%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]
3. Recombined 5 regimes into one program.

4. Final simplification 41.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -5.4 \cdot 10^{+154}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 9.5 \cdot 10^{-187}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 1.32 \cdot 10^{-110}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(c \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;i \leq 3400000000000:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{+82} \lor \neg \left(i \leq 5.6 \cdot 10^{+198}\right):\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \end{array} \]

Alternative 30: 21.9% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{if}\;t \leq -3 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.7 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;t \leq 5.9 \cdot 10^{-130}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 9 \cdot 10^{-73}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;t \leq 280000000000:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+102}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* z (* t i)))))
   (if (<= t -3e+87)
     t_1
     (if (<= t 5.7e-268)
       (* a (* y1 (* x (- y2))))
       (if (<= t 5.9e-130)
         (* b (* k (* z y0)))
         (if (<= t 9e-73)
           (* a (* (* x y) b))
           (if (<= t 280000000000.0)
             (* a (* y1 (* z y3)))
             (if (<= t 7.5e+102) (* j (* b (* t y4))) t_1))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (z * (t * i));
	double tmp;
	if (t <= -3e+87) {
		tmp = t_1;
	} else if (t <= 5.7e-268) {
		tmp = a * (y1 * (x * -y2));
	} else if (t <= 5.9e-130) {
		tmp = b * (k * (z * y0));
	} else if (t <= 9e-73) {
		tmp = a * ((x * y) * b);
	} else if (t <= 280000000000.0) {
		tmp = a * (y1 * (z * y3));
	} else if (t <= 7.5e+102) {
		tmp = j * (b * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (z * (t * i))
    if (t <= (-3d+87)) then
        tmp = t_1
    else if (t <= 5.7d-268) then
        tmp = a * (y1 * (x * -y2))
    else if (t <= 5.9d-130) then
        tmp = b * (k * (z * y0))
    else if (t <= 9d-73) then
        tmp = a * ((x * y) * b)
    else if (t <= 280000000000.0d0) then
        tmp = a * (y1 * (z * y3))
    else if (t <= 7.5d+102) then
        tmp = j * (b * (t * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (z * (t * i));
	double tmp;
	if (t <= -3e+87) {
		tmp = t_1;
	} else if (t <= 5.7e-268) {
		tmp = a * (y1 * (x * -y2));
	} else if (t <= 5.9e-130) {
		tmp = b * (k * (z * y0));
	} else if (t <= 9e-73) {
		tmp = a * ((x * y) * b);
	} else if (t <= 280000000000.0) {
		tmp = a * (y1 * (z * y3));
	} else if (t <= 7.5e+102) {
		tmp = j * (b * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (z * (t * i))
	tmp = 0
	if t <= -3e+87:
		tmp = t_1
	elif t <= 5.7e-268:
		tmp = a * (y1 * (x * -y2))
	elif t <= 5.9e-130:
		tmp = b * (k * (z * y0))
	elif t <= 9e-73:
		tmp = a * ((x * y) * b)
	elif t <= 280000000000.0:
		tmp = a * (y1 * (z * y3))
	elif t <= 7.5e+102:
		tmp = j * (b * (t * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(z * Float64(t * i)))
	tmp = 0.0
	if (t <= -3e+87)
		tmp = t_1;
	elseif (t <= 5.7e-268)
		tmp = Float64(a * Float64(y1 * Float64(x * Float64(-y2))));
	elseif (t <= 5.9e-130)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (t <= 9e-73)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (t <= 280000000000.0)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (t <= 7.5e+102)
		tmp = Float64(j * Float64(b * Float64(t * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (z * (t * i));
	tmp = 0.0;
	if (t <= -3e+87)
		tmp = t_1;
	elseif (t <= 5.7e-268)
		tmp = a * (y1 * (x * -y2));
	elseif (t <= 5.9e-130)
		tmp = b * (k * (z * y0));
	elseif (t <= 9e-73)
		tmp = a * ((x * y) * b);
	elseif (t <= 280000000000.0)
		tmp = a * (y1 * (z * y3));
	elseif (t <= 7.5e+102)
		tmp = j * (b * (t * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(z * N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -3e+87], t$95$1, If[LessEqual[t, 5.7e-268], N[(a * N[(y1 * N[(x * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 5.9e-130], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 9e-73], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 280000000000.0], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7.5e+102], N[(j * N[(b * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -2.9999999999999999e87 or 7.5e102 < t

   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 29.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 29.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 29.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 29.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 29.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 29.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 29.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 29.3%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 29.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 33.9%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 34.2%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 39.1%

         \[\leadsto c \cdot \color{blue}{\left(\left(i \cdot t\right) \cdot z\right)} \]

   8. Simplified 39.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot t\right) \cdot z\right)} \]

   if -2.9999999999999999e87 < t < 5.6999999999999998e-268

   1. Initial program 31.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 44.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 44.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 44.3%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 44.3%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 44.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 44.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 48.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 48.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 48.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 48.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 48.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 48.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 48.7%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 48.7%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 30.6%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around 0 22.3%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-1 \cdot \left(x \cdot y2\right)\right)}\right) \]
   7. Step-by-step derivation

      1. mul-1-neg 22.3%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-x \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 22.3%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(\left(-x\right) \cdot y2\right)}\right) \]

      3. *-commutative 22.3%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   8. Simplified 22.3%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   if 5.6999999999999998e-268 < t < 5.9000000000000003e-130

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 37.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 37.6%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 37.6%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 37.6%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 37.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around 0 38.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if 5.9000000000000003e-130 < t < 9e-73

   1. Initial program 16.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 16.1%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 40.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 40.3%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 40.3%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 40.3%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 40.3%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 40.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 33.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if 9e-73 < t < 2.8e11

   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 y1 around inf 45.1%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 45.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 45.1%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 45.1%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 45.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 45.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 45.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 45.1%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 39.8%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 34.9%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if 2.8e11 < t < 7.5e102

   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 j around inf 57.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 57.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 57.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 57.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 57.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 65.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 65.0%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 65.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 44.7%

      \[\leadsto j \cdot \color{blue}{\left(b \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto j \cdot \left(b \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   10. Simplified 44.7%

       \[\leadsto j \cdot \color{blue}{\left(b \cdot \left(y4 \cdot t\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 32.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -3 \cdot 10^{+87}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 5.7 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;t \leq 5.9 \cdot 10^{-130}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 9 \cdot 10^{-73}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;t \leq 280000000000:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+102}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \end{array} \]

Alternative 31: 20.9% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -2.9 \cdot 10^{+30}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-198}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{-306}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-142}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+64}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{+194}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -2.9e+30)
   (* c (* y (* i (- x))))
   (if (<= y -2.4e-198)
     (* a (* y1 (* z y3)))
     (if (<= y -1.45e-306)
       (* b (* j (* t y4)))
       (if (<= y 6.2e-142)
         (* a (* y1 (* x (- y2))))
         (if (<= y 2.8e+64)
           (* c (* i (* z t)))
           (if (<= y 2.9e+194) (* j (* y4 (* t b))) (* 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 (y <= -2.9e+30) {
		tmp = c * (y * (i * -x));
	} else if (y <= -2.4e-198) {
		tmp = a * (y1 * (z * y3));
	} else if (y <= -1.45e-306) {
		tmp = b * (j * (t * y4));
	} else if (y <= 6.2e-142) {
		tmp = a * (y1 * (x * -y2));
	} else if (y <= 2.8e+64) {
		tmp = c * (i * (z * t));
	} else if (y <= 2.9e+194) {
		tmp = j * (y4 * (t * b));
	} 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 (y <= (-2.9d+30)) then
        tmp = c * (y * (i * -x))
    else if (y <= (-2.4d-198)) then
        tmp = a * (y1 * (z * y3))
    else if (y <= (-1.45d-306)) then
        tmp = b * (j * (t * y4))
    else if (y <= 6.2d-142) then
        tmp = a * (y1 * (x * -y2))
    else if (y <= 2.8d+64) then
        tmp = c * (i * (z * t))
    else if (y <= 2.9d+194) then
        tmp = j * (y4 * (t * b))
    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 (y <= -2.9e+30) {
		tmp = c * (y * (i * -x));
	} else if (y <= -2.4e-198) {
		tmp = a * (y1 * (z * y3));
	} else if (y <= -1.45e-306) {
		tmp = b * (j * (t * y4));
	} else if (y <= 6.2e-142) {
		tmp = a * (y1 * (x * -y2));
	} else if (y <= 2.8e+64) {
		tmp = c * (i * (z * t));
	} else if (y <= 2.9e+194) {
		tmp = j * (y4 * (t * b));
	} 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 y <= -2.9e+30:
		tmp = c * (y * (i * -x))
	elif y <= -2.4e-198:
		tmp = a * (y1 * (z * y3))
	elif y <= -1.45e-306:
		tmp = b * (j * (t * y4))
	elif y <= 6.2e-142:
		tmp = a * (y1 * (x * -y2))
	elif y <= 2.8e+64:
		tmp = c * (i * (z * t))
	elif y <= 2.9e+194:
		tmp = j * (y4 * (t * b))
	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 (y <= -2.9e+30)
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	elseif (y <= -2.4e-198)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y <= -1.45e-306)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y <= 6.2e-142)
		tmp = Float64(a * Float64(y1 * Float64(x * Float64(-y2))));
	elseif (y <= 2.8e+64)
		tmp = Float64(c * Float64(i * Float64(z * t)));
	elseif (y <= 2.9e+194)
		tmp = Float64(j * Float64(y4 * Float64(t * b)));
	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 (y <= -2.9e+30)
		tmp = c * (y * (i * -x));
	elseif (y <= -2.4e-198)
		tmp = a * (y1 * (z * y3));
	elseif (y <= -1.45e-306)
		tmp = b * (j * (t * y4));
	elseif (y <= 6.2e-142)
		tmp = a * (y1 * (x * -y2));
	elseif (y <= 2.8e+64)
		tmp = c * (i * (z * t));
	elseif (y <= 2.9e+194)
		tmp = j * (y4 * (t * b));
	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[LessEqual[y, -2.9e+30], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.4e-198], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.45e-306], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 6.2e-142], N[(a * N[(y1 * N[(x * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.8e+64], N[(c * N[(i * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.9e+194], N[(j * N[(y4 * N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -2.8999999999999998e30

   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 c around inf 31.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 31.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 31.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 31.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 31.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 31.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 31.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 31.8%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 31.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 40.9%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around 0 36.1%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 36.1%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 36.1%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 36.1%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. *-commutative 36.1%

         \[\leadsto c \cdot \left(-\color{blue}{\left(x \cdot i\right)} \cdot y\right) \]

   8. Simplified 36.1%

      \[\leadsto \color{blue}{c \cdot \left(-\left(x \cdot i\right) \cdot y\right)} \]

   if -2.8999999999999998e30 < y < -2.39999999999999986e-198

   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 y1 around inf 47.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 47.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 47.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 47.0%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 47.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 47.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 49.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 49.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 49.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 49.2%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 49.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 49.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 49.2%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 49.2%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 32.8%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 26.3%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if -2.39999999999999986e-198 < y < -1.4499999999999999e-306

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 65.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 65.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 65.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 65.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 65.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 65.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 42.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.0%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 42.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 31.7%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 31.7%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   10. Simplified 31.7%

       \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]

   if -1.4499999999999999e-306 < y < 6.2e-142

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 53.4%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 53.4%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 53.4%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 53.4%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 53.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 53.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 53.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 53.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 53.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 53.4%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 53.4%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 53.4%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 53.4%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 53.4%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around 0 27.6%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-1 \cdot \left(x \cdot y2\right)\right)}\right) \]
   7. Step-by-step derivation

      1. mul-1-neg 27.6%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-x \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 27.6%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(\left(-x\right) \cdot y2\right)}\right) \]

      3. *-commutative 27.6%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   8. Simplified 27.6%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   if 6.2e-142 < y < 2.80000000000000024e64

   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 c around inf 41.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 41.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 41.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 41.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 27.6%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 23.5%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]

   if 2.80000000000000024e64 < y < 2.9000000000000001e194

   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 j around inf 41.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 41.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 41.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 41.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 41.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 45.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.6%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 45.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 45.3%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(b \cdot t\right)}\right) \]
   9. Step-by-step derivation

      1. *-commutative 45.3%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(t \cdot b\right)}\right) \]

   10. Simplified 45.3%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(t \cdot b\right)}\right) \]

   if 2.9000000000000001e194 < y

   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 y1 around 0 14.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 42.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 42.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. expm1-log1p-u 43.1%

         \[\leadsto \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)\right)} \]

      2. expm1-udef 43.1%

         \[\leadsto \color{blue}{e^{\mathsf{log1p}\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)} - 1} \]

      3. associate-*r* 43.1%

         \[\leadsto e^{\mathsf{log1p}\left(\color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)}\right)} - 1 \]

      4. *-commutative 43.1%

         \[\leadsto e^{\mathsf{log1p}\left(\color{blue}{\left(b \cdot a\right)} \cdot \left(x \cdot y\right)\right)} - 1 \]

      5. *-commutative 43.1%

         \[\leadsto e^{\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \color{blue}{\left(y \cdot x\right)}\right)} - 1 \]

   8. Applied egg-rr 43.1%

      \[\leadsto \color{blue}{e^{\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \left(y \cdot x\right)\right)} - 1} \]
   9. Step-by-step derivation

      1. expm1-def 43.1%

         \[\leadsto \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \left(y \cdot x\right)\right)\right)} \]

      2. expm1-log1p 52.7%

         \[\leadsto \color{blue}{\left(b \cdot a\right) \cdot \left(y \cdot x\right)} \]

      3. *-commutative 52.7%

         \[\leadsto \color{blue}{\left(y \cdot x\right) \cdot \left(b \cdot a\right)} \]

      4. *-commutative 52.7%

         \[\leadsto \left(y \cdot x\right) \cdot \color{blue}{\left(a \cdot b\right)} \]

      5. associate-*r* 52.7%

         \[\leadsto \color{blue}{\left(\left(y \cdot x\right) \cdot a\right) \cdot b} \]

      6. associate-*r* 52.7%

         \[\leadsto \color{blue}{\left(y \cdot \left(x \cdot a\right)\right)} \cdot b \]

   10. Simplified 52.7%

       \[\leadsto \color{blue}{\left(y \cdot \left(x \cdot a\right)\right) \cdot b} \]
3. Recombined 7 regimes into one program.

4. Final simplification 32.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.9 \cdot 10^{+30}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-198}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{-306}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-142}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+64}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{+194}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 32: 22.9% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ t_2 := a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{if}\;x \leq -2.7 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.45 \cdot 10^{-280}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{+96}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+116}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (* x b)))) (t_2 (* a (* y1 (* z y3)))))
   (if (<= x -2.7e+53)
     t_1
     (if (<= x -1.45e-280)
       t_2
       (if (<= x 1.8e-124)
         (* b (* j (* t y4)))
         (if (<= x 3.5e+96)
           (* b (* k (* z y0)))
           (if (<= x 5.5e+116) 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 = a * (y * (x * b));
	double t_2 = a * (y1 * (z * y3));
	double tmp;
	if (x <= -2.7e+53) {
		tmp = t_1;
	} else if (x <= -1.45e-280) {
		tmp = t_2;
	} else if (x <= 1.8e-124) {
		tmp = b * (j * (t * y4));
	} else if (x <= 3.5e+96) {
		tmp = b * (k * (z * y0));
	} else if (x <= 5.5e+116) {
		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 = a * (y * (x * b))
    t_2 = a * (y1 * (z * y3))
    if (x <= (-2.7d+53)) then
        tmp = t_1
    else if (x <= (-1.45d-280)) then
        tmp = t_2
    else if (x <= 1.8d-124) then
        tmp = b * (j * (t * y4))
    else if (x <= 3.5d+96) then
        tmp = b * (k * (z * y0))
    else if (x <= 5.5d+116) 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 = a * (y * (x * b));
	double t_2 = a * (y1 * (z * y3));
	double tmp;
	if (x <= -2.7e+53) {
		tmp = t_1;
	} else if (x <= -1.45e-280) {
		tmp = t_2;
	} else if (x <= 1.8e-124) {
		tmp = b * (j * (t * y4));
	} else if (x <= 3.5e+96) {
		tmp = b * (k * (z * y0));
	} else if (x <= 5.5e+116) {
		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 = a * (y * (x * b))
	t_2 = a * (y1 * (z * y3))
	tmp = 0
	if x <= -2.7e+53:
		tmp = t_1
	elif x <= -1.45e-280:
		tmp = t_2
	elif x <= 1.8e-124:
		tmp = b * (j * (t * y4))
	elif x <= 3.5e+96:
		tmp = b * (k * (z * y0))
	elif x <= 5.5e+116:
		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(a * Float64(y * Float64(x * b)))
	t_2 = Float64(a * Float64(y1 * Float64(z * y3)))
	tmp = 0.0
	if (x <= -2.7e+53)
		tmp = t_1;
	elseif (x <= -1.45e-280)
		tmp = t_2;
	elseif (x <= 1.8e-124)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (x <= 3.5e+96)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (x <= 5.5e+116)
		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 = a * (y * (x * b));
	t_2 = a * (y1 * (z * y3));
	tmp = 0.0;
	if (x <= -2.7e+53)
		tmp = t_1;
	elseif (x <= -1.45e-280)
		tmp = t_2;
	elseif (x <= 1.8e-124)
		tmp = b * (j * (t * y4));
	elseif (x <= 3.5e+96)
		tmp = b * (k * (z * y0));
	elseif (x <= 5.5e+116)
		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[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.7e+53], t$95$1, If[LessEqual[x, -1.45e-280], t$95$2, If[LessEqual[x, 1.8e-124], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.5e+96], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.5e+116], t$95$2, t$95$1]]]]]]]

Derivation

1. Split input into 4 regimes

2. if x < -2.70000000000000019e53 or 5.50000000000000035e116 < x

   1. Initial program 19.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 15.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 30.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 30.5%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 30.5%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 30.5%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 30.5%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 30.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 32.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 34.7%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

      2. *-commutative 34.7%

         \[\leadsto a \cdot \left(\color{blue}{\left(x \cdot b\right)} \cdot y\right) \]

   8. Simplified 34.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(x \cdot b\right) \cdot y\right)} \]

   if -2.70000000000000019e53 < x < -1.45e-280 or 3.4999999999999999e96 < x < 5.50000000000000035e116

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.6%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 42.6%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 42.6%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 42.6%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 42.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 42.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 42.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 42.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 42.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 42.6%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 42.6%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 42.6%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 42.6%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 42.6%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 29.9%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 26.9%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if -1.45e-280 < x < 1.80000000000000005e-124

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 44.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 44.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 44.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 44.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 44.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 35.3%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 35.3%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 35.3%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 28.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 28.5%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   10. Simplified 28.5%

       \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]

   if 1.80000000000000005e-124 < x < 3.4999999999999999e96

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 38.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 29.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 29.6%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 29.6%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 29.6%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 29.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around 0 24.3%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 29.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.7 \cdot 10^{+53}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -1.45 \cdot 10^{-280}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{+96}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+116}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]

Alternative 33: 21.0% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -7.5 \cdot 10^{+110}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -2.6 \cdot 10^{-227}:\\ \;\;\;\;c \cdot \left(z \cdot \left(y0 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+62}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+193}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -7.5e+110)
   (* c (* y (* i (- x))))
   (if (<= y -2.6e-227)
     (* c (* z (* y0 (- y3))))
     (if (<= y 4.6e-141)
       (* a (* y1 (* x (- y2))))
       (if (<= y 1.65e+62)
         (* c (* i (* z t)))
         (if (<= y 5.8e+193) (* j (* y4 (* t b))) (* 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 (y <= -7.5e+110) {
		tmp = c * (y * (i * -x));
	} else if (y <= -2.6e-227) {
		tmp = c * (z * (y0 * -y3));
	} else if (y <= 4.6e-141) {
		tmp = a * (y1 * (x * -y2));
	} else if (y <= 1.65e+62) {
		tmp = c * (i * (z * t));
	} else if (y <= 5.8e+193) {
		tmp = j * (y4 * (t * b));
	} 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 (y <= (-7.5d+110)) then
        tmp = c * (y * (i * -x))
    else if (y <= (-2.6d-227)) then
        tmp = c * (z * (y0 * -y3))
    else if (y <= 4.6d-141) then
        tmp = a * (y1 * (x * -y2))
    else if (y <= 1.65d+62) then
        tmp = c * (i * (z * t))
    else if (y <= 5.8d+193) then
        tmp = j * (y4 * (t * b))
    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 (y <= -7.5e+110) {
		tmp = c * (y * (i * -x));
	} else if (y <= -2.6e-227) {
		tmp = c * (z * (y0 * -y3));
	} else if (y <= 4.6e-141) {
		tmp = a * (y1 * (x * -y2));
	} else if (y <= 1.65e+62) {
		tmp = c * (i * (z * t));
	} else if (y <= 5.8e+193) {
		tmp = j * (y4 * (t * b));
	} 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 y <= -7.5e+110:
		tmp = c * (y * (i * -x))
	elif y <= -2.6e-227:
		tmp = c * (z * (y0 * -y3))
	elif y <= 4.6e-141:
		tmp = a * (y1 * (x * -y2))
	elif y <= 1.65e+62:
		tmp = c * (i * (z * t))
	elif y <= 5.8e+193:
		tmp = j * (y4 * (t * b))
	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 (y <= -7.5e+110)
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	elseif (y <= -2.6e-227)
		tmp = Float64(c * Float64(z * Float64(y0 * Float64(-y3))));
	elseif (y <= 4.6e-141)
		tmp = Float64(a * Float64(y1 * Float64(x * Float64(-y2))));
	elseif (y <= 1.65e+62)
		tmp = Float64(c * Float64(i * Float64(z * t)));
	elseif (y <= 5.8e+193)
		tmp = Float64(j * Float64(y4 * Float64(t * b)));
	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 (y <= -7.5e+110)
		tmp = c * (y * (i * -x));
	elseif (y <= -2.6e-227)
		tmp = c * (z * (y0 * -y3));
	elseif (y <= 4.6e-141)
		tmp = a * (y1 * (x * -y2));
	elseif (y <= 1.65e+62)
		tmp = c * (i * (z * t));
	elseif (y <= 5.8e+193)
		tmp = j * (y4 * (t * b));
	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[LessEqual[y, -7.5e+110], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.6e-227], N[(c * N[(z * N[(y0 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.6e-141], N[(a * N[(y1 * N[(x * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.65e+62], N[(c * N[(i * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.8e+193], N[(j * N[(y4 * N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -7.5e110

   1. Initial program 19.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 24.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 24.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 24.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 24.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 48.5%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around 0 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 46.4%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. *-commutative 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(x \cdot i\right)} \cdot y\right) \]

   8. Simplified 46.4%

      \[\leadsto \color{blue}{c \cdot \left(-\left(x \cdot i\right) \cdot y\right)} \]

   if -7.5e110 < y < -2.60000000000000011e-227

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 40.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 32.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 32.6%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 32.6%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 32.6%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 32.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around inf 26.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y0 \cdot \left(y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 26.6%

         \[\leadsto \color{blue}{-c \cdot \left(y0 \cdot \left(y3 \cdot z\right)\right)} \]

      2. distribute-rgt-neg-in 26.6%

         \[\leadsto \color{blue}{c \cdot \left(-y0 \cdot \left(y3 \cdot z\right)\right)} \]

      3. associate-*r* 26.6%

         \[\leadsto c \cdot \left(-\color{blue}{\left(y0 \cdot y3\right) \cdot z}\right) \]

   8. Simplified 26.6%

      \[\leadsto \color{blue}{c \cdot \left(-\left(y0 \cdot y3\right) \cdot z\right)} \]

   if -2.60000000000000011e-227 < y < 4.5999999999999999e-141

   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 y1 around inf 45.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 45.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 45.3%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 45.3%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 45.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 45.3%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 47.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 47.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 47.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 47.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 47.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 47.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 47.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 47.1%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 32.7%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around 0 27.3%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-1 \cdot \left(x \cdot y2\right)\right)}\right) \]
   7. Step-by-step derivation

      1. mul-1-neg 27.3%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(-x \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 27.3%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(\left(-x\right) \cdot y2\right)}\right) \]

      3. *-commutative 27.3%

         \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   8. Simplified 27.3%

      \[\leadsto a \cdot \left(y1 \cdot \color{blue}{\left(y2 \cdot \left(-x\right)\right)}\right) \]

   if 4.5999999999999999e-141 < y < 1.65e62

   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 c around inf 41.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 41.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 41.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 41.7%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 41.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 27.6%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 23.5%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]

   if 1.65e62 < y < 5.80000000000000026e193

   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 j around inf 41.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 41.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 41.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 41.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 41.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 45.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.6%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 45.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 45.3%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(b \cdot t\right)}\right) \]
   9. Step-by-step derivation

      1. *-commutative 45.3%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(t \cdot b\right)}\right) \]

   10. Simplified 45.3%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(t \cdot b\right)}\right) \]

   if 5.80000000000000026e193 < y

   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 y1 around 0 14.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 42.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 42.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 42.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. expm1-log1p-u 43.1%

         \[\leadsto \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)\right)} \]

      2. expm1-udef 43.1%

         \[\leadsto \color{blue}{e^{\mathsf{log1p}\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)} - 1} \]

      3. associate-*r* 43.1%

         \[\leadsto e^{\mathsf{log1p}\left(\color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)}\right)} - 1 \]

      4. *-commutative 43.1%

         \[\leadsto e^{\mathsf{log1p}\left(\color{blue}{\left(b \cdot a\right)} \cdot \left(x \cdot y\right)\right)} - 1 \]

      5. *-commutative 43.1%

         \[\leadsto e^{\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \color{blue}{\left(y \cdot x\right)}\right)} - 1 \]

   8. Applied egg-rr 43.1%

      \[\leadsto \color{blue}{e^{\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \left(y \cdot x\right)\right)} - 1} \]
   9. Step-by-step derivation

      1. expm1-def 43.1%

         \[\leadsto \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(\left(b \cdot a\right) \cdot \left(y \cdot x\right)\right)\right)} \]

      2. expm1-log1p 52.7%

         \[\leadsto \color{blue}{\left(b \cdot a\right) \cdot \left(y \cdot x\right)} \]

      3. *-commutative 52.7%

         \[\leadsto \color{blue}{\left(y \cdot x\right) \cdot \left(b \cdot a\right)} \]

      4. *-commutative 52.7%

         \[\leadsto \left(y \cdot x\right) \cdot \color{blue}{\left(a \cdot b\right)} \]

      5. associate-*r* 52.7%

         \[\leadsto \color{blue}{\left(\left(y \cdot x\right) \cdot a\right) \cdot b} \]

      6. associate-*r* 52.7%

         \[\leadsto \color{blue}{\left(y \cdot \left(x \cdot a\right)\right)} \cdot b \]

   10. Simplified 52.7%

       \[\leadsto \color{blue}{\left(y \cdot \left(x \cdot a\right)\right) \cdot b} \]
3. Recombined 6 regimes into one program.

4. Final simplification 33.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -7.5 \cdot 10^{+110}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -2.6 \cdot 10^{-227}:\\ \;\;\;\;c \cdot \left(z \cdot \left(y0 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(x \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+62}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+193}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 34: 28.3% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;c \leq -9.8 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-23}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+128}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(c \cdot \left(-y3\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= c -9.8e-110)
     t_1
     (if (<= c 2.5e-23)
       (* a (* y1 (- (* z y3) (* x y2))))
       (if (<= c 9.5e+128) t_1 (* y0 (* z (* c (- 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 * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (c <= -9.8e-110) {
		tmp = t_1;
	} else if (c <= 2.5e-23) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (c <= 9.5e+128) {
		tmp = t_1;
	} else {
		tmp = y0 * (z * (c * -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 = b * (j * ((t * y4) - (x * y0)))
    if (c <= (-9.8d-110)) then
        tmp = t_1
    else if (c <= 2.5d-23) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else if (c <= 9.5d+128) then
        tmp = t_1
    else
        tmp = y0 * (z * (c * -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 * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (c <= -9.8e-110) {
		tmp = t_1;
	} else if (c <= 2.5e-23) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (c <= 9.5e+128) {
		tmp = t_1;
	} else {
		tmp = y0 * (z * (c * -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 * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if c <= -9.8e-110:
		tmp = t_1
	elif c <= 2.5e-23:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	elif c <= 9.5e+128:
		tmp = t_1
	else:
		tmp = y0 * (z * (c * -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(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (c <= -9.8e-110)
		tmp = t_1;
	elseif (c <= 2.5e-23)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	elseif (c <= 9.5e+128)
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(z * Float64(c * Float64(-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 * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (c <= -9.8e-110)
		tmp = t_1;
	elseif (c <= 2.5e-23)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	elseif (c <= 9.5e+128)
		tmp = t_1;
	else
		tmp = y0 * (z * (c * -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[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -9.8e-110], t$95$1, If[LessEqual[c, 2.5e-23], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 9.5e+128], t$95$1, N[(y0 * N[(z * N[(c * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 3 regimes

2. if c < -9.7999999999999995e-110 or 2.5000000000000001e-23 < c < 9.50000000000000014e128

   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 j around inf 42.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in b around inf 33.9%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -9.7999999999999995e-110 < c < 2.5000000000000001e-23

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 50.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 50.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 50.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 50.7%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 50.7%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 53.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 53.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 53.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 53.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 53.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 53.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 53.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 53.0%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 40.8%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   if 9.50000000000000014e128 < c

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 53.7%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 53.7%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 53.7%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 53.7%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 53.7%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around inf 48.3%

      \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(c \cdot y3\right)}\right) \]
   7. Step-by-step derivation

      1. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(y3 \cdot c\right)}\right) \]

   8. Simplified 48.3%

      \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(y3 \cdot c\right)}\right) \]
3. Recombined 3 regimes into one program.

4. Final simplification 38.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -9.8 \cdot 10^{-110}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-23}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+128}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(c \cdot \left(-y3\right)\right)\right)\\ \end{array} \]

Alternative 35: 22.1% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{if}\;i \leq -1.6 \cdot 10^{+99}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.12 \cdot 10^{-246}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 1.05 \cdot 10^{-128}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{+73}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* i (* z t)))))
   (if (<= i -1.6e+99)
     t_1
     (if (<= i 1.12e-246)
       (* b (* j (* t y4)))
       (if (<= i 1.05e-128)
         (* b (* k (* z y0)))
         (if (<= i 4.2e+73) (* a (* (* x y) b)) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (i * (z * t));
	double tmp;
	if (i <= -1.6e+99) {
		tmp = t_1;
	} else if (i <= 1.12e-246) {
		tmp = b * (j * (t * y4));
	} else if (i <= 1.05e-128) {
		tmp = b * (k * (z * y0));
	} else if (i <= 4.2e+73) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (i * (z * t))
    if (i <= (-1.6d+99)) then
        tmp = t_1
    else if (i <= 1.12d-246) then
        tmp = b * (j * (t * y4))
    else if (i <= 1.05d-128) then
        tmp = b * (k * (z * y0))
    else if (i <= 4.2d+73) then
        tmp = a * ((x * y) * b)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (i * (z * t));
	double tmp;
	if (i <= -1.6e+99) {
		tmp = t_1;
	} else if (i <= 1.12e-246) {
		tmp = b * (j * (t * y4));
	} else if (i <= 1.05e-128) {
		tmp = b * (k * (z * y0));
	} else if (i <= 4.2e+73) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (i * (z * t))
	tmp = 0
	if i <= -1.6e+99:
		tmp = t_1
	elif i <= 1.12e-246:
		tmp = b * (j * (t * y4))
	elif i <= 1.05e-128:
		tmp = b * (k * (z * y0))
	elif i <= 4.2e+73:
		tmp = a * ((x * y) * b)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(i * Float64(z * t)))
	tmp = 0.0
	if (i <= -1.6e+99)
		tmp = t_1;
	elseif (i <= 1.12e-246)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (i <= 1.05e-128)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (i <= 4.2e+73)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (i * (z * t));
	tmp = 0.0;
	if (i <= -1.6e+99)
		tmp = t_1;
	elseif (i <= 1.12e-246)
		tmp = b * (j * (t * y4));
	elseif (i <= 1.05e-128)
		tmp = b * (k * (z * y0));
	elseif (i <= 4.2e+73)
		tmp = a * ((x * y) * b);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(i * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -1.6e+99], t$95$1, If[LessEqual[i, 1.12e-246], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.05e-128], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 4.2e+73], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if i < -1.6e99 or 4.2000000000000003e73 < i

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 29.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 29.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 29.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 29.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 46.6%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 35.4%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]

   if -1.6e99 < i < 1.11999999999999995e-246

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 39.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 39.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 39.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 32.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 32.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 32.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 23.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 23.5%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   10. Simplified 23.5%

       \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]

   if 1.11999999999999995e-246 < i < 1.0500000000000001e-128

   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 y0 around inf 56.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 45.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 45.5%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 45.5%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 45.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around 0 30.3%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if 1.0500000000000001e-128 < i < 4.2000000000000003e73

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 24.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 50.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 50.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 29.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -1.6 \cdot 10^{+99}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq 1.12 \cdot 10^{-246}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 1.05 \cdot 10^{-128}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{+73}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \end{array} \]

Alternative 36: 23.2% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{if}\;i \leq -1.75 \cdot 10^{+99}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 5 \cdot 10^{-252}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 3.4 \cdot 10^{-126}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{+74}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* z (* t i)))))
   (if (<= i -1.75e+99)
     t_1
     (if (<= i 5e-252)
       (* b (* j (* t y4)))
       (if (<= i 3.4e-126)
         (* b (* k (* z y0)))
         (if (<= i 1.4e+74) (* a (* (* x y) b)) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (z * (t * i));
	double tmp;
	if (i <= -1.75e+99) {
		tmp = t_1;
	} else if (i <= 5e-252) {
		tmp = b * (j * (t * y4));
	} else if (i <= 3.4e-126) {
		tmp = b * (k * (z * y0));
	} else if (i <= 1.4e+74) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (z * (t * i))
    if (i <= (-1.75d+99)) then
        tmp = t_1
    else if (i <= 5d-252) then
        tmp = b * (j * (t * y4))
    else if (i <= 3.4d-126) then
        tmp = b * (k * (z * y0))
    else if (i <= 1.4d+74) then
        tmp = a * ((x * y) * b)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (z * (t * i));
	double tmp;
	if (i <= -1.75e+99) {
		tmp = t_1;
	} else if (i <= 5e-252) {
		tmp = b * (j * (t * y4));
	} else if (i <= 3.4e-126) {
		tmp = b * (k * (z * y0));
	} else if (i <= 1.4e+74) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (z * (t * i))
	tmp = 0
	if i <= -1.75e+99:
		tmp = t_1
	elif i <= 5e-252:
		tmp = b * (j * (t * y4))
	elif i <= 3.4e-126:
		tmp = b * (k * (z * y0))
	elif i <= 1.4e+74:
		tmp = a * ((x * y) * b)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(z * Float64(t * i)))
	tmp = 0.0
	if (i <= -1.75e+99)
		tmp = t_1;
	elseif (i <= 5e-252)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (i <= 3.4e-126)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (i <= 1.4e+74)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (z * (t * i));
	tmp = 0.0;
	if (i <= -1.75e+99)
		tmp = t_1;
	elseif (i <= 5e-252)
		tmp = b * (j * (t * y4));
	elseif (i <= 3.4e-126)
		tmp = b * (k * (z * y0));
	elseif (i <= 1.4e+74)
		tmp = a * ((x * y) * b);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(z * N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -1.75e+99], t$95$1, If[LessEqual[i, 5e-252], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.4e-126], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.4e+74], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if i < -1.7499999999999999e99 or 1.40000000000000001e74 < i

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 29.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 29.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 29.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 29.2%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 29.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 46.6%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around inf 35.4%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 38.7%

         \[\leadsto c \cdot \color{blue}{\left(\left(i \cdot t\right) \cdot z\right)} \]

   8. Simplified 38.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot t\right) \cdot z\right)} \]

   if -1.7499999999999999e99 < i < 5.00000000000000008e-252

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 39.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 39.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 39.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 32.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 32.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 32.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 23.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 23.5%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   10. Simplified 23.5%

       \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]

   if 5.00000000000000008e-252 < i < 3.4e-126

   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 y0 around inf 56.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 45.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 45.5%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 45.5%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 45.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around 0 30.3%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if 3.4e-126 < i < 1.40000000000000001e74

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 24.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 50.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 50.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 50.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 30.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -1.75 \cdot 10^{+99}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 5 \cdot 10^{-252}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 3.4 \cdot 10^{-126}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{+74}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \end{array} \]

Alternative 37: 21.2% accurate, 6.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -1.75 \cdot 10^{+111}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -1.5 \cdot 10^{-181}:\\ \;\;\;\;c \cdot \left(z \cdot \left(y0 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{+102}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -1.75e+111)
   (* c (* y (* i (- x))))
   (if (<= y -1.5e-181)
     (* c (* z (* y0 (- y3))))
     (if (<= y 8.5e+102) (* j (* y4 (* y1 (- y3)))) (* a (* y (* x b)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -1.75e+111) {
		tmp = c * (y * (i * -x));
	} else if (y <= -1.5e-181) {
		tmp = c * (z * (y0 * -y3));
	} else if (y <= 8.5e+102) {
		tmp = j * (y4 * (y1 * -y3));
	} else {
		tmp = a * (y * (x * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-1.75d+111)) then
        tmp = c * (y * (i * -x))
    else if (y <= (-1.5d-181)) then
        tmp = c * (z * (y0 * -y3))
    else if (y <= 8.5d+102) then
        tmp = j * (y4 * (y1 * -y3))
    else
        tmp = a * (y * (x * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -1.75e+111) {
		tmp = c * (y * (i * -x));
	} else if (y <= -1.5e-181) {
		tmp = c * (z * (y0 * -y3));
	} else if (y <= 8.5e+102) {
		tmp = j * (y4 * (y1 * -y3));
	} else {
		tmp = a * (y * (x * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -1.75e+111:
		tmp = c * (y * (i * -x))
	elif y <= -1.5e-181:
		tmp = c * (z * (y0 * -y3))
	elif y <= 8.5e+102:
		tmp = j * (y4 * (y1 * -y3))
	else:
		tmp = a * (y * (x * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -1.75e+111)
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	elseif (y <= -1.5e-181)
		tmp = Float64(c * Float64(z * Float64(y0 * Float64(-y3))));
	elseif (y <= 8.5e+102)
		tmp = Float64(j * Float64(y4 * Float64(y1 * Float64(-y3))));
	else
		tmp = Float64(a * Float64(y * Float64(x * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -1.75e+111)
		tmp = c * (y * (i * -x));
	elseif (y <= -1.5e-181)
		tmp = c * (z * (y0 * -y3));
	elseif (y <= 8.5e+102)
		tmp = j * (y4 * (y1 * -y3));
	else
		tmp = a * (y * (x * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -1.75e+111], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.5e-181], N[(c * N[(z * N[(y0 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8.5e+102], N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y < -1.7500000000000001e111

   1. Initial program 19.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 24.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 24.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 24.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 24.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 48.5%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around 0 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 46.4%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. *-commutative 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(x \cdot i\right)} \cdot y\right) \]

   8. Simplified 46.4%

      \[\leadsto \color{blue}{c \cdot \left(-\left(x \cdot i\right) \cdot y\right)} \]

   if -1.7500000000000001e111 < y < -1.49999999999999987e-181

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 39.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 33.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 33.4%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 33.4%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 33.4%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 33.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around inf 26.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y0 \cdot \left(y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 26.6%

         \[\leadsto \color{blue}{-c \cdot \left(y0 \cdot \left(y3 \cdot z\right)\right)} \]

      2. distribute-rgt-neg-in 26.6%

         \[\leadsto \color{blue}{c \cdot \left(-y0 \cdot \left(y3 \cdot z\right)\right)} \]

      3. associate-*r* 26.6%

         \[\leadsto c \cdot \left(-\color{blue}{\left(y0 \cdot y3\right) \cdot z}\right) \]

   8. Simplified 26.6%

      \[\leadsto \color{blue}{c \cdot \left(-\left(y0 \cdot y3\right) \cdot z\right)} \]

   if -1.49999999999999987e-181 < y < 8.4999999999999996e102

   1. Initial program 33.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 43.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 43.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 43.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 43.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 27.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 27.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 24.4%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 24.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 24.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 24.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 24.4%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   if 8.4999999999999996e102 < y

   1. Initial program 14.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 17.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 50.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

      2. *-commutative 50.4%

         \[\leadsto a \cdot \left(\color{blue}{\left(x \cdot b\right)} \cdot y\right) \]

   8. Simplified 50.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(x \cdot b\right) \cdot y\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.75 \cdot 10^{+111}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -1.5 \cdot 10^{-181}:\\ \;\;\;\;c \cdot \left(z \cdot \left(y0 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{+102}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]

Alternative 38: 21.3% accurate, 6.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -9.8 \cdot 10^{+110}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -9.5 \cdot 10^{-184}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(c \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 6.5 \cdot 10^{+102}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -9.8e+110)
   (* c (* y (* i (- x))))
   (if (<= y -9.5e-184)
     (* y0 (* z (* c (- y3))))
     (if (<= y 6.5e+102) (* j (* y4 (* y1 (- y3)))) (* a (* y (* x b)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -9.8e+110) {
		tmp = c * (y * (i * -x));
	} else if (y <= -9.5e-184) {
		tmp = y0 * (z * (c * -y3));
	} else if (y <= 6.5e+102) {
		tmp = j * (y4 * (y1 * -y3));
	} else {
		tmp = a * (y * (x * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-9.8d+110)) then
        tmp = c * (y * (i * -x))
    else if (y <= (-9.5d-184)) then
        tmp = y0 * (z * (c * -y3))
    else if (y <= 6.5d+102) then
        tmp = j * (y4 * (y1 * -y3))
    else
        tmp = a * (y * (x * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -9.8e+110) {
		tmp = c * (y * (i * -x));
	} else if (y <= -9.5e-184) {
		tmp = y0 * (z * (c * -y3));
	} else if (y <= 6.5e+102) {
		tmp = j * (y4 * (y1 * -y3));
	} else {
		tmp = a * (y * (x * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -9.8e+110:
		tmp = c * (y * (i * -x))
	elif y <= -9.5e-184:
		tmp = y0 * (z * (c * -y3))
	elif y <= 6.5e+102:
		tmp = j * (y4 * (y1 * -y3))
	else:
		tmp = a * (y * (x * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -9.8e+110)
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	elseif (y <= -9.5e-184)
		tmp = Float64(y0 * Float64(z * Float64(c * Float64(-y3))));
	elseif (y <= 6.5e+102)
		tmp = Float64(j * Float64(y4 * Float64(y1 * Float64(-y3))));
	else
		tmp = Float64(a * Float64(y * Float64(x * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -9.8e+110)
		tmp = c * (y * (i * -x));
	elseif (y <= -9.5e-184)
		tmp = y0 * (z * (c * -y3));
	elseif (y <= 6.5e+102)
		tmp = j * (y4 * (y1 * -y3));
	else
		tmp = a * (y * (x * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -9.8e+110], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -9.5e-184], N[(y0 * N[(z * N[(c * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 6.5e+102], N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y < -9.80000000000000003e110

   1. Initial program 19.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in c around inf 24.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. +-commutative 24.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. mul-1-neg 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. unsub-neg 24.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      5. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      6. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      7. *-commutative 24.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 24.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 48.5%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - x \cdot y\right)\right)} \]

   6. Taylor expanded in t around 0 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 46.4%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. *-commutative 46.4%

         \[\leadsto c \cdot \left(-\color{blue}{\left(x \cdot i\right)} \cdot y\right) \]

   8. Simplified 46.4%

      \[\leadsto \color{blue}{c \cdot \left(-\left(x \cdot i\right) \cdot y\right)} \]

   if -9.80000000000000003e110 < y < -9.4999999999999991e-184

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 39.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in z around -inf 33.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot y3 - b \cdot k\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 33.4%

         \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(c \cdot y3 - b \cdot k\right)\right)} \]

      2. *-commutative 33.4%

         \[\leadsto y0 \cdot \left(-z \cdot \left(\color{blue}{y3 \cdot c} - b \cdot k\right)\right) \]

      3. *-commutative 33.4%

         \[\leadsto y0 \cdot \left(-z \cdot \left(y3 \cdot c - \color{blue}{k \cdot b}\right)\right) \]

   5. Simplified 33.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-z \cdot \left(y3 \cdot c - k \cdot b\right)\right)} \]

   6. Taylor expanded in y3 around inf 31.6%

      \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(c \cdot y3\right)}\right) \]
   7. Step-by-step derivation

      1. *-commutative 31.6%

         \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(y3 \cdot c\right)}\right) \]

   8. Simplified 31.6%

      \[\leadsto y0 \cdot \left(-z \cdot \color{blue}{\left(y3 \cdot c\right)}\right) \]

   if -9.4999999999999991e-184 < y < 6.5000000000000004e102

   1. Initial program 33.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 43.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 43.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 43.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 43.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 27.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 27.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 24.4%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. mul-1-neg 24.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-lft-neg-out 24.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(\left(-y1\right) \cdot y3\right)}\right) \]

      3. *-commutative 24.4%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   10. Simplified 24.4%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y3 \cdot \left(-y1\right)\right)}\right) \]

   if 6.5000000000000004e102 < y

   1. Initial program 14.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 17.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 38.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 50.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

      2. *-commutative 50.4%

         \[\leadsto a \cdot \left(\color{blue}{\left(x \cdot b\right)} \cdot y\right) \]

   8. Simplified 50.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(x \cdot b\right) \cdot y\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 33.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -9.8 \cdot 10^{+110}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y \leq -9.5 \cdot 10^{-184}:\\ \;\;\;\;y0 \cdot \left(z \cdot \left(c \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 6.5 \cdot 10^{+102}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]

Alternative 39: 23.2% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;x \leq -1.85 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-282}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+28}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (* x b)))))
   (if (<= x -1.85e+53)
     t_1
     (if (<= x -3.1e-282)
       (* a (* y1 (* z y3)))
       (if (<= x 8.2e+28) (* b (* j (* t y4))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * (x * b));
	double tmp;
	if (x <= -1.85e+53) {
		tmp = t_1;
	} else if (x <= -3.1e-282) {
		tmp = a * (y1 * (z * y3));
	} else if (x <= 8.2e+28) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y * (x * b))
    if (x <= (-1.85d+53)) then
        tmp = t_1
    else if (x <= (-3.1d-282)) then
        tmp = a * (y1 * (z * y3))
    else if (x <= 8.2d+28) then
        tmp = b * (j * (t * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * (x * b));
	double tmp;
	if (x <= -1.85e+53) {
		tmp = t_1;
	} else if (x <= -3.1e-282) {
		tmp = a * (y1 * (z * y3));
	} else if (x <= 8.2e+28) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y * (x * b))
	tmp = 0
	if x <= -1.85e+53:
		tmp = t_1
	elif x <= -3.1e-282:
		tmp = a * (y1 * (z * y3))
	elif x <= 8.2e+28:
		tmp = b * (j * (t * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y * Float64(x * b)))
	tmp = 0.0
	if (x <= -1.85e+53)
		tmp = t_1;
	elseif (x <= -3.1e-282)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (x <= 8.2e+28)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y * (x * b));
	tmp = 0.0;
	if (x <= -1.85e+53)
		tmp = t_1;
	elseif (x <= -3.1e-282)
		tmp = a * (y1 * (z * y3));
	elseif (x <= 8.2e+28)
		tmp = b * (j * (t * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.85e+53], t$95$1, If[LessEqual[x, -3.1e-282], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.2e+28], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -1.85e53 or 8.19999999999999961e28 < x

   1. Initial program 20.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 18.1%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 30.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 30.1%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 30.1%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 30.1%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 30.1%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 30.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 30.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 32.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

      2. *-commutative 32.3%

         \[\leadsto a \cdot \left(\color{blue}{\left(x \cdot b\right)} \cdot y\right) \]

   8. Simplified 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(x \cdot b\right) \cdot y\right)} \]

   if -1.85e53 < x < -3.10000000000000013e-282

   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 y1 around inf 45.1%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 45.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 45.1%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 45.1%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 45.1%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 45.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 45.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 45.1%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 45.1%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 29.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 26.1%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if -3.10000000000000013e-282 < x < 8.19999999999999961e28

   1. Initial program 31.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 44.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 44.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 44.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 44.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 44.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 30.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.0%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 30.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 23.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 23.4%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   10. Simplified 23.4%

       \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 28.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.85 \cdot 10^{+53}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-282}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+28}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]

Alternative 40: 23.5% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -2.1 \cdot 10^{+53} \lor \neg \left(x \leq 6.5 \cdot 10^{+69}\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= x -2.1e+53) (not (<= x 6.5e+69)))
   (* a (* (* x y) b))
   (* a (* y1 (* 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 ((x <= -2.1e+53) || !(x <= 6.5e+69)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = a * (y1 * (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 ((x <= (-2.1d+53)) .or. (.not. (x <= 6.5d+69))) then
        tmp = a * ((x * y) * b)
    else
        tmp = a * (y1 * (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 ((x <= -2.1e+53) || !(x <= 6.5e+69)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = a * (y1 * (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 (x <= -2.1e+53) or not (x <= 6.5e+69):
		tmp = a * ((x * y) * b)
	else:
		tmp = a * (y1 * (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 ((x <= -2.1e+53) || !(x <= 6.5e+69))
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(a * Float64(y1 * 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 ((x <= -2.1e+53) || ~((x <= 6.5e+69)))
		tmp = a * ((x * y) * b);
	else
		tmp = a * (y1 * (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[Or[LessEqual[x, -2.1e+53], N[Not[LessEqual[x, 6.5e+69]], $MachinePrecision]], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if x < -2.1000000000000002e53 or 6.5000000000000001e69 < x

   1. Initial program 20.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 17.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 31.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 31.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -2.1000000000000002e53 < x < 6.5000000000000001e69

   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 y1 around inf 43.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 43.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 43.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 43.0%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 43.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 43.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 43.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 43.0%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 22.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 20.0%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 24.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.1 \cdot 10^{+53} \lor \neg \left(x \leq 6.5 \cdot 10^{+69}\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \]

Alternative 41: 23.4% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -2.7 \cdot 10^{+53} \lor \neg \left(x \leq 1.42 \cdot 10^{+81}\right):\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= x -2.7e+53) (not (<= x 1.42e+81)))
   (* a (* y (* x b)))
   (* a (* y1 (* 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 ((x <= -2.7e+53) || !(x <= 1.42e+81)) {
		tmp = a * (y * (x * b));
	} else {
		tmp = a * (y1 * (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 ((x <= (-2.7d+53)) .or. (.not. (x <= 1.42d+81))) then
        tmp = a * (y * (x * b))
    else
        tmp = a * (y1 * (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 ((x <= -2.7e+53) || !(x <= 1.42e+81)) {
		tmp = a * (y * (x * b));
	} else {
		tmp = a * (y1 * (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 (x <= -2.7e+53) or not (x <= 1.42e+81):
		tmp = a * (y * (x * b))
	else:
		tmp = a * (y1 * (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 ((x <= -2.7e+53) || !(x <= 1.42e+81))
		tmp = Float64(a * Float64(y * Float64(x * b)));
	else
		tmp = Float64(a * Float64(y1 * 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 ((x <= -2.7e+53) || ~((x <= 1.42e+81)))
		tmp = a * (y * (x * b));
	else
		tmp = a * (y1 * (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[Or[LessEqual[x, -2.7e+53], N[Not[LessEqual[x, 1.42e+81]], $MachinePrecision]], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if x < -2.70000000000000019e53 or 1.41999999999999998e81 < x

   1. Initial program 20.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around 0 17.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   3. Taylor expanded in a around inf 31.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      2. mul-1-neg 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

      3. *-commutative 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

      4. *-commutative 31.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

   5. Simplified 31.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

   6. Taylor expanded in x around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 33.4%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

      2. *-commutative 33.4%

         \[\leadsto a \cdot \left(\color{blue}{\left(x \cdot b\right)} \cdot y\right) \]

   8. Simplified 33.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(x \cdot b\right) \cdot y\right)} \]

   if -2.70000000000000019e53 < x < 1.41999999999999998e81

   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 y1 around inf 43.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. associate--l+ 43.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right)} \]

      2. mul-1-neg 43.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      3. distribute-rgt-neg-in 43.0%

         \[\leadsto y1 \cdot \left(\color{blue}{a \cdot \left(-\left(x \cdot y2 - y3 \cdot z\right)\right)} + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      4. *-commutative 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      5. *-commutative 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(\color{blue}{y2 \cdot x} - z \cdot y3\right)\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      6. fma-neg 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \color{blue}{\mathsf{fma}\left(y4, k \cdot y2 - j \cdot y3, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)}\right) \]

      7. fma-neg 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \color{blue}{\mathsf{fma}\left(k, y2, -j \cdot y3\right)}, --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      8. *-commutative 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, -\color{blue}{y3 \cdot j}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      9. distribute-rgt-neg-in 43.0%

         \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, \color{blue}{y3 \cdot \left(-j\right)}\right), --1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)\right) \]

      10. mul-1-neg 43.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), -\color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right)\right) \]

      11. remove-double-neg 43.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), \color{blue}{i \cdot \left(j \cdot x - k \cdot z\right)}\right)\right) \]

      12. *-commutative 43.0%

          \[\leadsto y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 43.0%

      \[\leadsto \color{blue}{y1 \cdot \left(a \cdot \left(-\left(y2 \cdot x - z \cdot y3\right)\right) + \mathsf{fma}\left(y4, \mathsf{fma}\left(k, y2, y3 \cdot \left(-j\right)\right), i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} \]

   5. Taylor expanded in a around inf 22.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]

   6. Taylor expanded in y3 around inf 20.0%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 25.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.7 \cdot 10^{+53} \lor \neg \left(x \leq 1.42 \cdot 10^{+81}\right):\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \]

Alternative 42: 17.6% 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 28.0%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

2. Taylor expanded in y1 around 0 24.3%

   \[\leadsto \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) + \left(c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)\right)\right) - \left(b \cdot \left(y0 \cdot \left(j \cdot x - k \cdot z\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

3. Taylor expanded in a around inf 34.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
4. Step-by-step derivation

   1. *-commutative 34.2%

      \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   2. mul-1-neg 34.2%

      \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \color{blue}{\left(-y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)}\right) \]

   3. *-commutative 34.2%

      \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(\color{blue}{y2 \cdot t} - y \cdot y3\right)\right)\right) \]

   4. *-commutative 34.2%

      \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - \color{blue}{y3 \cdot y}\right)\right)\right) \]

5. Simplified 34.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - \left(-y5 \cdot \left(y2 \cdot t - y3 \cdot y\right)\right)\right)} \]

6. Taylor expanded in x around inf 18.4%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

7. Final simplification 18.4%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]

Developer target: 27.9% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023310 
(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)))))