Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.0% → 38.0%

Time: 1.0min

Alternatives: 29

Speedup: 1.7×

• 88.6% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Initial Program: 30.0% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 38.0% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y \cdot \left(a \cdot b - c \cdot i\right)\\ t_3 := y0 \cdot y5 - y1 \cdot y4\\ t_4 := b \cdot y4 - i \cdot y5\\ t_5 := i \cdot y1 - b \cdot y0\\ t_6 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_7 := x \cdot y - z \cdot t\\ \mathbf{if}\;y \leq -2.25 \cdot 10^{+278}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -6.6 \cdot 10^{+130}:\\ \;\;\;\;x \cdot t\_2\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{+55}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -4.4 \cdot 10^{-76}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t\_3 + t \cdot t\_4\right) + x \cdot t\_5\right)\\ \mathbf{elif}\;y \leq -1.22 \cdot 10^{-238}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-284}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot t\_4\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 7.4 \cdot 10^{-252}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{-161}:\\ \;\;\;\;x \cdot \left(\left(t\_2 + y2 \cdot t\_1\right) + j \cdot t\_5\right)\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-82}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right) - \left(i \cdot t\_7 + y0 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-7}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+118}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+143}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t\_3 - z \cdot t\_1\right)\right)\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{+207}:\\ \;\;\;\;a \cdot \left(b \cdot t\_7\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y (- (* a b) (* c i))))
        (t_3 (- (* y0 y5) (* y1 y4)))
        (t_4 (- (* b y4) (* i y5)))
        (t_5 (- (* i y1) (* b y0)))
        (t_6
         (* y0 (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))))
        (t_7 (- (* x y) (* z t))))
   (if (<= y -2.25e+278)
     (* c (* y3 (- (* y y4) (* z y0))))
     (if (<= y -6.6e+130)
       (* x t_2)
       (if (<= y -2.1e+55)
         (*
          k
          (- (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5)))) (* i (* z y1))))
         (if (<= y -4.4e-76)
           (* j (+ (+ (* y3 t_3) (* t t_4)) (* x t_5)))
           (if (<= y -1.22e-238)
             t_6
             (if (<= y -1.6e-284)
               (*
                t
                (+
                 (+ (* z (- (* c i) (* a b))) (* j t_4))
                 (* y2 (- (* a y5) (* c y4)))))
               (if (<= y 7.4e-252)
                 t_6
                 (if (<= y 1.4e-161)
                   (* x (+ (+ t_2 (* y2 t_1)) (* j t_5)))
                   (if (<= y 2.2e-82)
                     (*
                      c
                      (-
                       (* y4 (- (* y y3) (* t y2)))
                       (+ (* i t_7) (* y0 (- (* z y3) (* x y2))))))
                     (if (<= y 3.4e-7)
                       (* b (* j (- (* t y4) (* x y0))))
                       (if (<= y 2.3e+118)
                         t_6
                         (if (<= y 1.65e+143)
                           (*
                            y3
                            (+
                             (* y (- (* c y4) (* a y5)))
                             (- (* j t_3) (* z t_1))))
                           (if (<= y 2.35e+207)
                             (* a (* b t_7))
                             (* y (* i (- (* k y5) (* x c)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y * ((a * b) - (c * i));
	double t_3 = (y0 * y5) - (y1 * y4);
	double t_4 = (b * y4) - (i * y5);
	double t_5 = (i * y1) - (b * y0);
	double t_6 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	double t_7 = (x * y) - (z * t);
	double tmp;
	if (y <= -2.25e+278) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (y <= -6.6e+130) {
		tmp = x * t_2;
	} else if (y <= -2.1e+55) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (y <= -4.4e-76) {
		tmp = j * (((y3 * t_3) + (t * t_4)) + (x * t_5));
	} else if (y <= -1.22e-238) {
		tmp = t_6;
	} else if (y <= -1.6e-284) {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_4)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y <= 7.4e-252) {
		tmp = t_6;
	} else if (y <= 1.4e-161) {
		tmp = x * ((t_2 + (y2 * t_1)) + (j * t_5));
	} else if (y <= 2.2e-82) {
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * ((z * y3) - (x * y2)))));
	} else if (y <= 3.4e-7) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 2.3e+118) {
		tmp = t_6;
	} else if (y <= 1.65e+143) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_3) - (z * t_1)));
	} else if (y <= 2.35e+207) {
		tmp = a * (b * t_7);
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y * ((a * b) - (c * i))
    t_3 = (y0 * y5) - (y1 * y4)
    t_4 = (b * y4) - (i * y5)
    t_5 = (i * y1) - (b * y0)
    t_6 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
    t_7 = (x * y) - (z * t)
    if (y <= (-2.25d+278)) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (y <= (-6.6d+130)) then
        tmp = x * t_2
    else if (y <= (-2.1d+55)) then
        tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    else if (y <= (-4.4d-76)) then
        tmp = j * (((y3 * t_3) + (t * t_4)) + (x * t_5))
    else if (y <= (-1.22d-238)) then
        tmp = t_6
    else if (y <= (-1.6d-284)) then
        tmp = t * (((z * ((c * i) - (a * b))) + (j * t_4)) + (y2 * ((a * y5) - (c * y4))))
    else if (y <= 7.4d-252) then
        tmp = t_6
    else if (y <= 1.4d-161) then
        tmp = x * ((t_2 + (y2 * t_1)) + (j * t_5))
    else if (y <= 2.2d-82) then
        tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * ((z * y3) - (x * y2)))))
    else if (y <= 3.4d-7) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y <= 2.3d+118) then
        tmp = t_6
    else if (y <= 1.65d+143) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_3) - (z * t_1)))
    else if (y <= 2.35d+207) then
        tmp = a * (b * t_7)
    else
        tmp = y * (i * ((k * y5) - (x * c)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y * ((a * b) - (c * i));
	double t_3 = (y0 * y5) - (y1 * y4);
	double t_4 = (b * y4) - (i * y5);
	double t_5 = (i * y1) - (b * y0);
	double t_6 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	double t_7 = (x * y) - (z * t);
	double tmp;
	if (y <= -2.25e+278) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (y <= -6.6e+130) {
		tmp = x * t_2;
	} else if (y <= -2.1e+55) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (y <= -4.4e-76) {
		tmp = j * (((y3 * t_3) + (t * t_4)) + (x * t_5));
	} else if (y <= -1.22e-238) {
		tmp = t_6;
	} else if (y <= -1.6e-284) {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_4)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y <= 7.4e-252) {
		tmp = t_6;
	} else if (y <= 1.4e-161) {
		tmp = x * ((t_2 + (y2 * t_1)) + (j * t_5));
	} else if (y <= 2.2e-82) {
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * ((z * y3) - (x * y2)))));
	} else if (y <= 3.4e-7) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 2.3e+118) {
		tmp = t_6;
	} else if (y <= 1.65e+143) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_3) - (z * t_1)));
	} else if (y <= 2.35e+207) {
		tmp = a * (b * t_7);
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y * ((a * b) - (c * i))
	t_3 = (y0 * y5) - (y1 * y4)
	t_4 = (b * y4) - (i * y5)
	t_5 = (i * y1) - (b * y0)
	t_6 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
	t_7 = (x * y) - (z * t)
	tmp = 0
	if y <= -2.25e+278:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif y <= -6.6e+130:
		tmp = x * t_2
	elif y <= -2.1e+55:
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	elif y <= -4.4e-76:
		tmp = j * (((y3 * t_3) + (t * t_4)) + (x * t_5))
	elif y <= -1.22e-238:
		tmp = t_6
	elif y <= -1.6e-284:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_4)) + (y2 * ((a * y5) - (c * y4))))
	elif y <= 7.4e-252:
		tmp = t_6
	elif y <= 1.4e-161:
		tmp = x * ((t_2 + (y2 * t_1)) + (j * t_5))
	elif y <= 2.2e-82:
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * ((z * y3) - (x * y2)))))
	elif y <= 3.4e-7:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y <= 2.3e+118:
		tmp = t_6
	elif y <= 1.65e+143:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_3) - (z * t_1)))
	elif y <= 2.35e+207:
		tmp = a * (b * t_7)
	else:
		tmp = y * (i * ((k * y5) - (x * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y * Float64(Float64(a * b) - Float64(c * i)))
	t_3 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_4 = Float64(Float64(b * y4) - Float64(i * y5))
	t_5 = Float64(Float64(i * y1) - Float64(b * y0))
	t_6 = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))))
	t_7 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (y <= -2.25e+278)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (y <= -6.6e+130)
		tmp = Float64(x * t_2);
	elseif (y <= -2.1e+55)
		tmp = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))));
	elseif (y <= -4.4e-76)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_3) + Float64(t * t_4)) + Float64(x * t_5)));
	elseif (y <= -1.22e-238)
		tmp = t_6;
	elseif (y <= -1.6e-284)
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * t_4)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y <= 7.4e-252)
		tmp = t_6;
	elseif (y <= 1.4e-161)
		tmp = Float64(x * Float64(Float64(t_2 + Float64(y2 * t_1)) + Float64(j * t_5)));
	elseif (y <= 2.2e-82)
		tmp = Float64(c * Float64(Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))) - Float64(Float64(i * t_7) + Float64(y0 * Float64(Float64(z * y3) - Float64(x * y2))))));
	elseif (y <= 3.4e-7)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y <= 2.3e+118)
		tmp = t_6;
	elseif (y <= 1.65e+143)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_3) - Float64(z * t_1))));
	elseif (y <= 2.35e+207)
		tmp = Float64(a * Float64(b * t_7));
	else
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y * ((a * b) - (c * i));
	t_3 = (y0 * y5) - (y1 * y4);
	t_4 = (b * y4) - (i * y5);
	t_5 = (i * y1) - (b * y0);
	t_6 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	t_7 = (x * y) - (z * t);
	tmp = 0.0;
	if (y <= -2.25e+278)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (y <= -6.6e+130)
		tmp = x * t_2;
	elseif (y <= -2.1e+55)
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	elseif (y <= -4.4e-76)
		tmp = j * (((y3 * t_3) + (t * t_4)) + (x * t_5));
	elseif (y <= -1.22e-238)
		tmp = t_6;
	elseif (y <= -1.6e-284)
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_4)) + (y2 * ((a * y5) - (c * y4))));
	elseif (y <= 7.4e-252)
		tmp = t_6;
	elseif (y <= 1.4e-161)
		tmp = x * ((t_2 + (y2 * t_1)) + (j * t_5));
	elseif (y <= 2.2e-82)
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * ((z * y3) - (x * y2)))));
	elseif (y <= 3.4e-7)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y <= 2.3e+118)
		tmp = t_6;
	elseif (y <= 1.65e+143)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_3) - (z * t_1)));
	elseif (y <= 2.35e+207)
		tmp = a * (b * t_7);
	else
		tmp = y * (i * ((k * y5) - (x * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y0 * 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]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.25e+278], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -6.6e+130], N[(x * t$95$2), $MachinePrecision], If[LessEqual[y, -2.1e+55], N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -4.4e-76], N[(j * N[(N[(N[(y3 * t$95$3), $MachinePrecision] + N[(t * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.22e-238], t$95$6, If[LessEqual[y, -1.6e-284], N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7.4e-252], t$95$6, If[LessEqual[y, 1.4e-161], N[(x * N[(N[(t$95$2 + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.2e-82], N[(c * N[(N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(i * t$95$7), $MachinePrecision] + N[(y0 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.4e-7], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.3e+118], t$95$6, If[LessEqual[y, 1.65e+143], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * t$95$3), $MachinePrecision] - N[(z * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.35e+207], N[(a * N[(b * t$95$7), $MachinePrecision]), $MachinePrecision], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y < -2.25000000000000004e278

   1. Initial program 14.1%

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

   3. Taylor expanded in y3 around -inf 59.4%

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

   4. Taylor expanded in c around inf 100.0%

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

   if -2.25000000000000004e278 < y < -6.6e130

   1. Initial program 33.3%

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

   3. Taylor expanded in y around inf 53.3%

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

   4. Taylor expanded in x around inf 64.1%

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

   if -6.6e130 < y < -2.1000000000000001e55

   1. Initial program 29.9%

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

   3. Taylor expanded in b around 0 15.2%

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

   4. Taylor expanded in k around inf 65.4%

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

   if -2.1000000000000001e55 < y < -4.39999999999999999e-76

   1. Initial program 45.1%

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

   3. Taylor expanded in j around inf 58.9%

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

   if -4.39999999999999999e-76 < y < -1.22e-238 or -1.60000000000000012e-284 < y < 7.4000000000000002e-252 or 3.39999999999999974e-7 < y < 2.30000000000000016e118

   1. Initial program 27.7%

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

   3. Taylor expanded in b around 0 36.3%

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

   4. Taylor expanded in y0 around inf 60.7%

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

   if -1.22e-238 < y < -1.60000000000000012e-284

   1. Initial program 51.8%

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

   3. Taylor expanded in t around inf 68.1%

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

   if 7.4000000000000002e-252 < y < 1.39999999999999996e-161

   1. Initial program 27.2%

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

   3. Taylor expanded in x around inf 50.2%

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

   if 1.39999999999999996e-161 < y < 2.19999999999999986e-82

   1. Initial program 25.0%

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

   3. Taylor expanded in c around inf 60.0%

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

   if 2.19999999999999986e-82 < y < 3.39999999999999974e-7

   1. Initial program 18.2%

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

   3. Taylor expanded in b around inf 45.5%

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

   4. Taylor expanded in j around inf 73.0%

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

   if 2.30000000000000016e118 < y < 1.65e143

   1. Initial program 49.6%

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

   3. Taylor expanded in y3 around -inf 76.5%

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

   if 1.65e143 < y < 2.34999999999999988e207

   1. Initial program 29.4%

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

   3. Taylor expanded in b around inf 70.8%

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

   4. Taylor expanded in a around inf 76.7%

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

   if 2.34999999999999988e207 < y

   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. Add Preprocessing

   3. Taylor expanded in y around inf 73.0%

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

   4. Taylor expanded in i around inf 65.4%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 64.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.25 \cdot 10^{+278}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -6.6 \cdot 10^{+130}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{+55}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -4.4 \cdot 10^{-76}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -1.22 \cdot 10^{-238}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-284}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 7.4 \cdot 10^{-252}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{-161}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-82}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right) - \left(i \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-7}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+118}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+143}:\\ \;\;\;\;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(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{+207}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 53.4% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 89.8%

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

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

   1. Initial program 0.0%

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

   3. Taylor expanded in b around 0 8.0%

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

   4. Taylor expanded in y0 around inf 39.2%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 57.4%

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

Alternative 3: 37.8% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_3 := y \cdot \left(a \cdot b - c \cdot i\right)\\ t_4 := y0 \cdot y5 - y1 \cdot y4\\ t_5 := z \cdot y3 - x \cdot y2\\ t_6 := i \cdot y1 - b \cdot y0\\ t_7 := x \cdot y - z \cdot t\\ \mathbf{if}\;y \leq -2.75 \cdot 10^{+278}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{+129}:\\ \;\;\;\;x \cdot t\_3\\ \mathbf{elif}\;y \leq -1.68 \cdot 10^{+53}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{-75}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t\_4 + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_6\right)\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{-232}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq -5.1 \cdot 10^{-285}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot t\_5\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-246}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 1.1 \cdot 10^{-158}:\\ \;\;\;\;x \cdot \left(\left(t\_3 + y2 \cdot t\_1\right) + j \cdot t\_6\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-81}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right) - \left(i \cdot t\_7 + y0 \cdot t\_5\right)\right)\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+117}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{+143}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t\_4 - z \cdot t\_1\right)\right)\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{+208}:\\ \;\;\;\;a \cdot \left(b \cdot t\_7\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2
         (* y0 (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))))
        (t_3 (* y (- (* a b) (* c i))))
        (t_4 (- (* y0 y5) (* y1 y4)))
        (t_5 (- (* z y3) (* x y2)))
        (t_6 (- (* i y1) (* b y0)))
        (t_7 (- (* x y) (* z t))))
   (if (<= y -2.75e+278)
     (* c (* y3 (- (* y y4) (* z y0))))
     (if (<= y -4.8e+129)
       (* x t_3)
       (if (<= y -1.68e+53)
         (*
          k
          (- (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5)))) (* i (* z y1))))
         (if (<= y -1.45e-75)
           (* j (+ (+ (* y3 t_4) (* t (- (* b y4) (* i y5)))) (* x t_6)))
           (if (<= y -9.2e-232)
             t_2
             (if (<= y -5.1e-285)
               (* a (+ (* y5 (- (* t y2) (* y y3))) (* y1 t_5)))
               (if (<= y 1.2e-246)
                 t_2
                 (if (<= y 1.1e-158)
                   (* x (+ (+ t_3 (* y2 t_1)) (* j t_6)))
                   (if (<= y 1.35e-81)
                     (*
                      c
                      (-
                       (* y4 (- (* y y3) (* t y2)))
                       (+ (* i t_7) (* y0 t_5))))
                     (if (<= y 5.5e-8)
                       (* b (* j (- (* t y4) (* x y0))))
                       (if (<= y 2.7e+117)
                         t_2
                         (if (<= y 1.45e+143)
                           (*
                            y3
                            (+
                             (* y (- (* c y4) (* a y5)))
                             (- (* j t_4) (* z t_1))))
                           (if (<= y 1.25e+208)
                             (* a (* b t_7))
                             (* y (* i (- (* k y5) (* x c)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	double t_3 = y * ((a * b) - (c * i));
	double t_4 = (y0 * y5) - (y1 * y4);
	double t_5 = (z * y3) - (x * y2);
	double t_6 = (i * y1) - (b * y0);
	double t_7 = (x * y) - (z * t);
	double tmp;
	if (y <= -2.75e+278) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (y <= -4.8e+129) {
		tmp = x * t_3;
	} else if (y <= -1.68e+53) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (y <= -1.45e-75) {
		tmp = j * (((y3 * t_4) + (t * ((b * y4) - (i * y5)))) + (x * t_6));
	} else if (y <= -9.2e-232) {
		tmp = t_2;
	} else if (y <= -5.1e-285) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_5));
	} else if (y <= 1.2e-246) {
		tmp = t_2;
	} else if (y <= 1.1e-158) {
		tmp = x * ((t_3 + (y2 * t_1)) + (j * t_6));
	} else if (y <= 1.35e-81) {
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * t_5)));
	} else if (y <= 5.5e-8) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 2.7e+117) {
		tmp = t_2;
	} else if (y <= 1.45e+143) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) - (z * t_1)));
	} else if (y <= 1.25e+208) {
		tmp = a * (b * t_7);
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
    t_3 = y * ((a * b) - (c * i))
    t_4 = (y0 * y5) - (y1 * y4)
    t_5 = (z * y3) - (x * y2)
    t_6 = (i * y1) - (b * y0)
    t_7 = (x * y) - (z * t)
    if (y <= (-2.75d+278)) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (y <= (-4.8d+129)) then
        tmp = x * t_3
    else if (y <= (-1.68d+53)) then
        tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    else if (y <= (-1.45d-75)) then
        tmp = j * (((y3 * t_4) + (t * ((b * y4) - (i * y5)))) + (x * t_6))
    else if (y <= (-9.2d-232)) then
        tmp = t_2
    else if (y <= (-5.1d-285)) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_5))
    else if (y <= 1.2d-246) then
        tmp = t_2
    else if (y <= 1.1d-158) then
        tmp = x * ((t_3 + (y2 * t_1)) + (j * t_6))
    else if (y <= 1.35d-81) then
        tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * t_5)))
    else if (y <= 5.5d-8) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y <= 2.7d+117) then
        tmp = t_2
    else if (y <= 1.45d+143) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) - (z * t_1)))
    else if (y <= 1.25d+208) then
        tmp = a * (b * t_7)
    else
        tmp = y * (i * ((k * y5) - (x * c)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	double t_3 = y * ((a * b) - (c * i));
	double t_4 = (y0 * y5) - (y1 * y4);
	double t_5 = (z * y3) - (x * y2);
	double t_6 = (i * y1) - (b * y0);
	double t_7 = (x * y) - (z * t);
	double tmp;
	if (y <= -2.75e+278) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (y <= -4.8e+129) {
		tmp = x * t_3;
	} else if (y <= -1.68e+53) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (y <= -1.45e-75) {
		tmp = j * (((y3 * t_4) + (t * ((b * y4) - (i * y5)))) + (x * t_6));
	} else if (y <= -9.2e-232) {
		tmp = t_2;
	} else if (y <= -5.1e-285) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_5));
	} else if (y <= 1.2e-246) {
		tmp = t_2;
	} else if (y <= 1.1e-158) {
		tmp = x * ((t_3 + (y2 * t_1)) + (j * t_6));
	} else if (y <= 1.35e-81) {
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * t_5)));
	} else if (y <= 5.5e-8) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 2.7e+117) {
		tmp = t_2;
	} else if (y <= 1.45e+143) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) - (z * t_1)));
	} else if (y <= 1.25e+208) {
		tmp = a * (b * t_7);
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
	t_3 = y * ((a * b) - (c * i))
	t_4 = (y0 * y5) - (y1 * y4)
	t_5 = (z * y3) - (x * y2)
	t_6 = (i * y1) - (b * y0)
	t_7 = (x * y) - (z * t)
	tmp = 0
	if y <= -2.75e+278:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif y <= -4.8e+129:
		tmp = x * t_3
	elif y <= -1.68e+53:
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	elif y <= -1.45e-75:
		tmp = j * (((y3 * t_4) + (t * ((b * y4) - (i * y5)))) + (x * t_6))
	elif y <= -9.2e-232:
		tmp = t_2
	elif y <= -5.1e-285:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_5))
	elif y <= 1.2e-246:
		tmp = t_2
	elif y <= 1.1e-158:
		tmp = x * ((t_3 + (y2 * t_1)) + (j * t_6))
	elif y <= 1.35e-81:
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * t_5)))
	elif y <= 5.5e-8:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y <= 2.7e+117:
		tmp = t_2
	elif y <= 1.45e+143:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) - (z * t_1)))
	elif y <= 1.25e+208:
		tmp = a * (b * t_7)
	else:
		tmp = y * (i * ((k * y5) - (x * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))))
	t_3 = Float64(y * Float64(Float64(a * b) - Float64(c * i)))
	t_4 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_5 = Float64(Float64(z * y3) - Float64(x * y2))
	t_6 = Float64(Float64(i * y1) - Float64(b * y0))
	t_7 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (y <= -2.75e+278)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (y <= -4.8e+129)
		tmp = Float64(x * t_3);
	elseif (y <= -1.68e+53)
		tmp = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))));
	elseif (y <= -1.45e-75)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_4) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_6)));
	elseif (y <= -9.2e-232)
		tmp = t_2;
	elseif (y <= -5.1e-285)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * t_5)));
	elseif (y <= 1.2e-246)
		tmp = t_2;
	elseif (y <= 1.1e-158)
		tmp = Float64(x * Float64(Float64(t_3 + Float64(y2 * t_1)) + Float64(j * t_6)));
	elseif (y <= 1.35e-81)
		tmp = Float64(c * Float64(Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))) - Float64(Float64(i * t_7) + Float64(y0 * t_5))));
	elseif (y <= 5.5e-8)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y <= 2.7e+117)
		tmp = t_2;
	elseif (y <= 1.45e+143)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_4) - Float64(z * t_1))));
	elseif (y <= 1.25e+208)
		tmp = Float64(a * Float64(b * t_7));
	else
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	t_3 = y * ((a * b) - (c * i));
	t_4 = (y0 * y5) - (y1 * y4);
	t_5 = (z * y3) - (x * y2);
	t_6 = (i * y1) - (b * y0);
	t_7 = (x * y) - (z * t);
	tmp = 0.0;
	if (y <= -2.75e+278)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (y <= -4.8e+129)
		tmp = x * t_3;
	elseif (y <= -1.68e+53)
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	elseif (y <= -1.45e-75)
		tmp = j * (((y3 * t_4) + (t * ((b * y4) - (i * y5)))) + (x * t_6));
	elseif (y <= -9.2e-232)
		tmp = t_2;
	elseif (y <= -5.1e-285)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_5));
	elseif (y <= 1.2e-246)
		tmp = t_2;
	elseif (y <= 1.1e-158)
		tmp = x * ((t_3 + (y2 * t_1)) + (j * t_6));
	elseif (y <= 1.35e-81)
		tmp = c * ((y4 * ((y * y3) - (t * y2))) - ((i * t_7) + (y0 * t_5)));
	elseif (y <= 5.5e-8)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y <= 2.7e+117)
		tmp = t_2;
	elseif (y <= 1.45e+143)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_4) - (z * t_1)));
	elseif (y <= 1.25e+208)
		tmp = a * (b * t_7);
	else
		tmp = y * (i * ((k * y5) - (x * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * 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]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.75e+278], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -4.8e+129], N[(x * t$95$3), $MachinePrecision], If[LessEqual[y, -1.68e+53], N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.45e-75], N[(j * N[(N[(N[(y3 * t$95$4), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -9.2e-232], t$95$2, If[LessEqual[y, -5.1e-285], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.2e-246], t$95$2, If[LessEqual[y, 1.1e-158], N[(x * N[(N[(t$95$3 + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.35e-81], N[(c * N[(N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(i * t$95$7), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.5e-8], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.7e+117], t$95$2, If[LessEqual[y, 1.45e+143], 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 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.25e+208], N[(a * N[(b * t$95$7), $MachinePrecision]), $MachinePrecision], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y < -2.7499999999999999e278

   1. Initial program 14.1%

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

   3. Taylor expanded in y3 around -inf 59.4%

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

   4. Taylor expanded in c around inf 100.0%

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

   if -2.7499999999999999e278 < y < -4.7999999999999997e129

   1. Initial program 33.3%

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

   3. Taylor expanded in y around inf 53.3%

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

   4. Taylor expanded in x around inf 64.1%

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

   if -4.7999999999999997e129 < y < -1.68e53

   1. Initial program 29.9%

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

   3. Taylor expanded in b around 0 15.2%

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

   4. Taylor expanded in k around inf 65.4%

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

   if -1.68e53 < y < -1.4500000000000001e-75

   1. Initial program 45.1%

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

   3. Taylor expanded in j around inf 58.9%

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

   if -1.4500000000000001e-75 < y < -9.2e-232 or -5.0999999999999999e-285 < y < 1.1999999999999999e-246 or 5.5000000000000003e-8 < y < 2.7000000000000002e117

   1. Initial program 27.0%

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

   3. Taylor expanded in b around 0 35.9%

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

   4. Taylor expanded in y0 around inf 60.9%

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

   if -9.2e-232 < y < -5.0999999999999999e-285

   1. Initial program 51.5%

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

   3. Taylor expanded in b around 0 57.1%

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

   4. Taylor expanded in a around -inf 65.0%

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

      1. mul-1-neg 65.0%

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

   6. Simplified 65.0%

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

   if 1.1999999999999999e-246 < y < 1.1000000000000001e-158

   1. Initial program 27.2%

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

   3. Taylor expanded in x around inf 50.2%

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

   if 1.1000000000000001e-158 < y < 1.34999999999999995e-81

   1. Initial program 25.0%

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

   3. Taylor expanded in c around inf 60.0%

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

   if 1.34999999999999995e-81 < y < 5.5000000000000003e-8

   1. Initial program 18.2%

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

   3. Taylor expanded in b around inf 45.5%

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

   4. Taylor expanded in j around inf 73.0%

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

   if 2.7000000000000002e117 < y < 1.4499999999999999e143

   1. Initial program 49.6%

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

   3. Taylor expanded in y3 around -inf 76.5%

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

   if 1.4499999999999999e143 < y < 1.2500000000000001e208

   1. Initial program 29.4%

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

   3. Taylor expanded in b around inf 70.8%

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

   4. Taylor expanded in a around inf 76.7%

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

   if 1.2500000000000001e208 < y

   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. Add Preprocessing

   3. Taylor expanded in y around inf 73.0%

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

   4. Taylor expanded in i around inf 65.4%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 63.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.75 \cdot 10^{+278}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{+129}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -1.68 \cdot 10^{+53}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{-75}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{-232}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq -5.1 \cdot 10^{-285}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-246}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.1 \cdot 10^{-158}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-81}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right) - \left(i \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+117}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{+143}:\\ \;\;\;\;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(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{+208}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 33.3% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := a \cdot b - c \cdot i\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := x \cdot \left(\left(y \cdot t\_2 + y2 \cdot t\_3\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_5 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) - z \cdot t\_3\right)\right)\\ \mathbf{if}\;t \leq -1.3 \cdot 10^{-64}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -1.5 \cdot 10^{-204}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t \leq -1.72 \cdot 10^{-264}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-305}:\\ \;\;\;\;y \cdot \left(x \cdot t\_2\right)\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-169}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{-123}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-101}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 12.8:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+140}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{+271}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0)))))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* c y0) (* a y1)))
        (t_4 (* x (+ (+ (* y t_2) (* y2 t_3)) (* j (- (* i y1) (* b y0))))))
        (t_5
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (- (* j (- (* y0 y5) (* y1 y4))) (* z t_3))))))
   (if (<= t -1.3e-64)
     t_1
     (if (<= t -1.5e-204)
       t_4
       (if (<= t -1.72e-264)
         t_5
         (if (<= t 1.85e-305)
           (* y (* x t_2))
           (if (<= t 7.8e-169)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= t 1.7e-123)
               t_4
               (if (<= t 1.8e-101)
                 t_5
                 (if (<= t 7.8e-59)
                   (*
                    a
                    (+
                     (* y5 (- (* t y2) (* y y3)))
                     (* y1 (- (* z y3) (* x y2)))))
                   (if (<= t 12.8)
                     (* x (* y (* a (- b (* c (/ i a))))))
                     (if (<= t 2e+140)
                       t_5
                       (if (<= t 4.5e+271)
                         t_1
                         (* y (* k (- (* i y5) (* b y4)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = (a * b) - (c * i);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = x * (((y * t_2) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))));
	double t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) - (z * t_3)));
	double tmp;
	if (t <= -1.3e-64) {
		tmp = t_1;
	} else if (t <= -1.5e-204) {
		tmp = t_4;
	} else if (t <= -1.72e-264) {
		tmp = t_5;
	} else if (t <= 1.85e-305) {
		tmp = y * (x * t_2);
	} else if (t <= 7.8e-169) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 1.7e-123) {
		tmp = t_4;
	} else if (t <= 1.8e-101) {
		tmp = t_5;
	} else if (t <= 7.8e-59) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (t <= 12.8) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= 2e+140) {
		tmp = t_5;
	} else if (t <= 4.5e+271) {
		tmp = t_1;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    t_2 = (a * b) - (c * i)
    t_3 = (c * y0) - (a * y1)
    t_4 = x * (((y * t_2) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))))
    t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) - (z * t_3)))
    if (t <= (-1.3d-64)) then
        tmp = t_1
    else if (t <= (-1.5d-204)) then
        tmp = t_4
    else if (t <= (-1.72d-264)) then
        tmp = t_5
    else if (t <= 1.85d-305) then
        tmp = y * (x * t_2)
    else if (t <= 7.8d-169) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 1.7d-123) then
        tmp = t_4
    else if (t <= 1.8d-101) then
        tmp = t_5
    else if (t <= 7.8d-59) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (t <= 12.8d0) then
        tmp = x * (y * (a * (b - (c * (i / a)))))
    else if (t <= 2d+140) then
        tmp = t_5
    else if (t <= 4.5d+271) then
        tmp = t_1
    else
        tmp = y * (k * ((i * y5) - (b * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = (a * b) - (c * i);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = x * (((y * t_2) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))));
	double t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) - (z * t_3)));
	double tmp;
	if (t <= -1.3e-64) {
		tmp = t_1;
	} else if (t <= -1.5e-204) {
		tmp = t_4;
	} else if (t <= -1.72e-264) {
		tmp = t_5;
	} else if (t <= 1.85e-305) {
		tmp = y * (x * t_2);
	} else if (t <= 7.8e-169) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 1.7e-123) {
		tmp = t_4;
	} else if (t <= 1.8e-101) {
		tmp = t_5;
	} else if (t <= 7.8e-59) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (t <= 12.8) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= 2e+140) {
		tmp = t_5;
	} else if (t <= 4.5e+271) {
		tmp = t_1;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	t_2 = (a * b) - (c * i)
	t_3 = (c * y0) - (a * y1)
	t_4 = x * (((y * t_2) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))))
	t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) - (z * t_3)))
	tmp = 0
	if t <= -1.3e-64:
		tmp = t_1
	elif t <= -1.5e-204:
		tmp = t_4
	elif t <= -1.72e-264:
		tmp = t_5
	elif t <= 1.85e-305:
		tmp = y * (x * t_2)
	elif t <= 7.8e-169:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 1.7e-123:
		tmp = t_4
	elif t <= 1.8e-101:
		tmp = t_5
	elif t <= 7.8e-59:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif t <= 12.8:
		tmp = x * (y * (a * (b - (c * (i / a)))))
	elif t <= 2e+140:
		tmp = t_5
	elif t <= 4.5e+271:
		tmp = t_1
	else:
		tmp = y * (k * ((i * y5) - (b * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * t_3)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_5 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) - Float64(z * t_3))))
	tmp = 0.0
	if (t <= -1.3e-64)
		tmp = t_1;
	elseif (t <= -1.5e-204)
		tmp = t_4;
	elseif (t <= -1.72e-264)
		tmp = t_5;
	elseif (t <= 1.85e-305)
		tmp = Float64(y * Float64(x * t_2));
	elseif (t <= 7.8e-169)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 1.7e-123)
		tmp = t_4;
	elseif (t <= 1.8e-101)
		tmp = t_5;
	elseif (t <= 7.8e-59)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (t <= 12.8)
		tmp = Float64(x * Float64(y * Float64(a * Float64(b - Float64(c * Float64(i / a))))));
	elseif (t <= 2e+140)
		tmp = t_5;
	elseif (t <= 4.5e+271)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	t_2 = (a * b) - (c * i);
	t_3 = (c * y0) - (a * y1);
	t_4 = x * (((y * t_2) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))));
	t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * ((y0 * y5) - (y1 * y4))) - (z * t_3)));
	tmp = 0.0;
	if (t <= -1.3e-64)
		tmp = t_1;
	elseif (t <= -1.5e-204)
		tmp = t_4;
	elseif (t <= -1.72e-264)
		tmp = t_5;
	elseif (t <= 1.85e-305)
		tmp = y * (x * t_2);
	elseif (t <= 7.8e-169)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 1.7e-123)
		tmp = t_4;
	elseif (t <= 1.8e-101)
		tmp = t_5;
	elseif (t <= 7.8e-59)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (t <= 12.8)
		tmp = x * (y * (a * (b - (c * (i / a)))));
	elseif (t <= 2e+140)
		tmp = t_5;
	elseif (t <= 4.5e+271)
		tmp = t_1;
	else
		tmp = y * (k * ((i * y5) - (b * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(z * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.3e-64], t$95$1, If[LessEqual[t, -1.5e-204], t$95$4, If[LessEqual[t, -1.72e-264], t$95$5, If[LessEqual[t, 1.85e-305], N[(y * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7.8e-169], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.7e-123], t$95$4, If[LessEqual[t, 1.8e-101], t$95$5, If[LessEqual[t, 7.8e-59], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 12.8], N[(x * N[(y * N[(a * N[(b - N[(c * N[(i / a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2e+140], t$95$5, If[LessEqual[t, 4.5e+271], t$95$1, N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if t < -1.3e-64 or 2.00000000000000012e140 < t < 4.4999999999999997e271

   1. Initial program 29.4%

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

   3. Taylor expanded in b around inf 35.1%

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

   4. Taylor expanded in j around inf 57.2%

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

   if -1.3e-64 < t < -1.4999999999999999e-204 or 7.79999999999999954e-169 < t < 1.7e-123

   1. Initial program 22.4%

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

   3. Taylor expanded in x around inf 61.7%

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

   if -1.4999999999999999e-204 < t < -1.7200000000000001e-264 or 1.7e-123 < t < 1.8e-101 or 12.800000000000001 < t < 2.00000000000000012e140

   1. Initial program 37.8%

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

   3. Taylor expanded in y3 around -inf 65.3%

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

   if -1.7200000000000001e-264 < t < 1.84999999999999989e-305

   1. Initial program 34.3%

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

   3. Taylor expanded in y around inf 67.6%

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

   4. Taylor expanded in x around inf 67.7%

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

   if 1.84999999999999989e-305 < t < 7.79999999999999954e-169

   1. Initial program 37.3%

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

   3. Taylor expanded in j around inf 45.0%

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

   4. Taylor expanded in y0 around inf 56.8%

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

   if 1.8e-101 < t < 7.80000000000000038e-59

   1. Initial program 45.3%

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

   3. Taylor expanded in b around 0 36.2%

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

   4. Taylor expanded in a around -inf 54.8%

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

      1. mul-1-neg 54.8%

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

   6. Simplified 54.8%

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

   if 7.80000000000000038e-59 < t < 12.800000000000001

   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. Add Preprocessing

   3. Taylor expanded in y around inf 56.3%

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

   4. Taylor expanded in x around inf 62.6%

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

   5. Taylor expanded in a around inf 68.8%

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

      1. mul-1-neg 68.8%

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

      2. unsub-neg 68.8%

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

      3. associate-/l* 68.8%

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

   7. Simplified 68.8%

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

   if 4.4999999999999997e271 < t

   1. Initial program 42.9%

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

   3. Taylor expanded in y around inf 71.5%

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

   4. Taylor expanded in k around inf 72.5%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 60.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.3 \cdot 10^{-64}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -1.5 \cdot 10^{-204}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -1.72 \cdot 10^{-264}:\\ \;\;\;\;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(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-305}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-169}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{-123}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-101}:\\ \;\;\;\;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(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 12.8:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+140}:\\ \;\;\;\;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(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{+271}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 32.6% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := a \cdot b - c \cdot i\\ t_3 := y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{if}\;t \leq -7.6 \cdot 10^{-65}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{-211}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t\_2 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-256}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-308}:\\ \;\;\;\;y \cdot \left(x \cdot t\_2\right)\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-207}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{-155}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{-66}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{+52}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{+120}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+272}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0)))))
        (t_2 (- (* a b) (* c i)))
        (t_3
         (*
          y5
          (+
           (* a (- (* t y2) (* y y3)))
           (+ (* i (- (* y k) (* t j))) (* y0 (- (* j y3) (* k y2))))))))
   (if (<= t -7.6e-65)
     t_1
     (if (<= t -2.3e-211)
       (*
        x
        (+
         (+ (* y t_2) (* y2 (- (* c y0) (* a y1))))
         (* j (- (* i y1) (* b y0)))))
       (if (<= t -1.7e-256)
         t_3
         (if (<= t 1.8e-308)
           (* y (* x t_2))
           (if (<= t 6.5e-275)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= t 2.7e-207)
               (*
                y4
                (+ (* y1 (- (* k y2) (* j y3))) (* c (- (* y y3) (* t y2)))))
               (if (<= t 1.7e-155)
                 t_3
                 (if (<= t 3.2e-66)
                   (* y (* y5 (- (* i k) (* a y3))))
                   (if (<= t 3.6e+52)
                     (* x (* y (* a (- b (* c (/ i a))))))
                     (if (<= t 1.95e+120)
                       t_3
                       (if (<= t 1.35e+272)
                         t_1
                         (* y (* k (- (* i y5) (* b y4)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = (a * b) - (c * i);
	double t_3 = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	double tmp;
	if (t <= -7.6e-65) {
		tmp = t_1;
	} else if (t <= -2.3e-211) {
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (t <= -1.7e-256) {
		tmp = t_3;
	} else if (t <= 1.8e-308) {
		tmp = y * (x * t_2);
	} else if (t <= 6.5e-275) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 2.7e-207) {
		tmp = y4 * ((y1 * ((k * y2) - (j * y3))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= 1.7e-155) {
		tmp = t_3;
	} else if (t <= 3.2e-66) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 3.6e+52) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= 1.95e+120) {
		tmp = t_3;
	} else if (t <= 1.35e+272) {
		tmp = t_1;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    t_2 = (a * b) - (c * i)
    t_3 = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
    if (t <= (-7.6d-65)) then
        tmp = t_1
    else if (t <= (-2.3d-211)) then
        tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    else if (t <= (-1.7d-256)) then
        tmp = t_3
    else if (t <= 1.8d-308) then
        tmp = y * (x * t_2)
    else if (t <= 6.5d-275) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 2.7d-207) then
        tmp = y4 * ((y1 * ((k * y2) - (j * y3))) + (c * ((y * y3) - (t * y2))))
    else if (t <= 1.7d-155) then
        tmp = t_3
    else if (t <= 3.2d-66) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (t <= 3.6d+52) then
        tmp = x * (y * (a * (b - (c * (i / a)))))
    else if (t <= 1.95d+120) then
        tmp = t_3
    else if (t <= 1.35d+272) then
        tmp = t_1
    else
        tmp = y * (k * ((i * y5) - (b * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = (a * b) - (c * i);
	double t_3 = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	double tmp;
	if (t <= -7.6e-65) {
		tmp = t_1;
	} else if (t <= -2.3e-211) {
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (t <= -1.7e-256) {
		tmp = t_3;
	} else if (t <= 1.8e-308) {
		tmp = y * (x * t_2);
	} else if (t <= 6.5e-275) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 2.7e-207) {
		tmp = y4 * ((y1 * ((k * y2) - (j * y3))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= 1.7e-155) {
		tmp = t_3;
	} else if (t <= 3.2e-66) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 3.6e+52) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= 1.95e+120) {
		tmp = t_3;
	} else if (t <= 1.35e+272) {
		tmp = t_1;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	t_2 = (a * b) - (c * i)
	t_3 = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
	tmp = 0
	if t <= -7.6e-65:
		tmp = t_1
	elif t <= -2.3e-211:
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	elif t <= -1.7e-256:
		tmp = t_3
	elif t <= 1.8e-308:
		tmp = y * (x * t_2)
	elif t <= 6.5e-275:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 2.7e-207:
		tmp = y4 * ((y1 * ((k * y2) - (j * y3))) + (c * ((y * y3) - (t * y2))))
	elif t <= 1.7e-155:
		tmp = t_3
	elif t <= 3.2e-66:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif t <= 3.6e+52:
		tmp = x * (y * (a * (b - (c * (i / a)))))
	elif t <= 1.95e+120:
		tmp = t_3
	elif t <= 1.35e+272:
		tmp = t_1
	else:
		tmp = y * (k * ((i * y5) - (b * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))))
	tmp = 0.0
	if (t <= -7.6e-65)
		tmp = t_1;
	elseif (t <= -2.3e-211)
		tmp = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (t <= -1.7e-256)
		tmp = t_3;
	elseif (t <= 1.8e-308)
		tmp = Float64(y * Float64(x * t_2));
	elseif (t <= 6.5e-275)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 2.7e-207)
		tmp = Float64(y4 * Float64(Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (t <= 1.7e-155)
		tmp = t_3;
	elseif (t <= 3.2e-66)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (t <= 3.6e+52)
		tmp = Float64(x * Float64(y * Float64(a * Float64(b - Float64(c * Float64(i / a))))));
	elseif (t <= 1.95e+120)
		tmp = t_3;
	elseif (t <= 1.35e+272)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	t_2 = (a * b) - (c * i);
	t_3 = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	tmp = 0.0;
	if (t <= -7.6e-65)
		tmp = t_1;
	elseif (t <= -2.3e-211)
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	elseif (t <= -1.7e-256)
		tmp = t_3;
	elseif (t <= 1.8e-308)
		tmp = y * (x * t_2);
	elseif (t <= 6.5e-275)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 2.7e-207)
		tmp = y4 * ((y1 * ((k * y2) - (j * y3))) + (c * ((y * y3) - (t * y2))));
	elseif (t <= 1.7e-155)
		tmp = t_3;
	elseif (t <= 3.2e-66)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (t <= 3.6e+52)
		tmp = x * (y * (a * (b - (c * (i / a)))));
	elseif (t <= 1.95e+120)
		tmp = t_3;
	elseif (t <= 1.35e+272)
		tmp = t_1;
	else
		tmp = y * (k * ((i * y5) - (b * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -7.6e-65], t$95$1, If[LessEqual[t, -2.3e-211], N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.7e-256], t$95$3, If[LessEqual[t, 1.8e-308], N[(y * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.5e-275], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.7e-207], N[(y4 * N[(N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.7e-155], t$95$3, If[LessEqual[t, 3.2e-66], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.6e+52], N[(x * N[(y * N[(a * N[(b - N[(c * N[(i / a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.95e+120], t$95$3, If[LessEqual[t, 1.35e+272], t$95$1, N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if t < -7.6000000000000003e-65 or 1.9499999999999999e120 < t < 1.35000000000000006e272

   1. Initial program 27.7%

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

   3. Taylor expanded in b around inf 36.0%

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

   4. Taylor expanded in j around inf 55.9%

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

   if -7.6000000000000003e-65 < t < -2.29999999999999988e-211

   1. Initial program 22.2%

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

   3. Taylor expanded in x around inf 58.1%

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

   if -2.29999999999999988e-211 < t < -1.7e-256 or 2.7e-207 < t < 1.7e-155 or 3.6e52 < t < 1.9499999999999999e120

   1. Initial program 36.5%

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

   3. Taylor expanded in y5 around -inf 66.9%

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

   if -1.7e-256 < t < 1.7999999999999999e-308

   1. Initial program 45.1%

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

   3. Taylor expanded in y around inf 56.2%

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

   4. Taylor expanded in x around inf 67.7%

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

   if 1.7999999999999999e-308 < t < 6.500000000000001e-275

   1. Initial program 66.7%

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

   3. Taylor expanded in j around inf 67.3%

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

   4. Taylor expanded in y0 around inf 67.6%

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

   if 6.500000000000001e-275 < t < 2.7e-207

   1. Initial program 39.0%

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

   3. Taylor expanded in b around 0 24.0%

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

   4. Taylor expanded in y4 around inf 77.6%

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

   if 1.7e-155 < t < 3.19999999999999982e-66

   1. Initial program 36.6%

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

   3. Taylor expanded in y around inf 47.3%

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

   4. Taylor expanded in y5 around inf 57.8%

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

   if 3.19999999999999982e-66 < t < 3.6e52

   1. Initial program 33.6%

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

   3. Taylor expanded in y around inf 57.2%

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

   4. Taylor expanded in x around inf 57.6%

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

   5. Taylor expanded in a around inf 62.4%

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

      1. mul-1-neg 62.4%

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

      2. unsub-neg 62.4%

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

      3. associate-/l* 62.4%

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

   7. Simplified 62.4%

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

   if 1.35000000000000006e272 < t

   1. Initial program 42.9%

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

   3. Taylor expanded in y around inf 71.5%

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

   4. Taylor expanded in k around inf 72.5%

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

4. Final simplification 60.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7.6 \cdot 10^{-65}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{-211}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-256}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-308}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-207}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{-155}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{-66}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{+52}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{+120}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+272}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 38.5% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ t_2 := k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ t_3 := i \cdot y1 - b \cdot y0\\ t_4 := a \cdot b - c \cdot i\\ \mathbf{if}\;a \leq -4.8 \cdot 10^{+233}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{+192}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -7.8 \cdot 10^{+97}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t\_4\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -1.35 \cdot 10^{-8}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_4\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-159}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{-238}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t\_4 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t\_3\right)\\ \mathbf{elif}\;a \leq -1.26 \cdot 10^{-300}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 2.15 \cdot 10^{-162}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{-24}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_3\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+188}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(y \cdot \left(j \cdot \frac{y0}{y} - a\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (* a (+ (* y5 (- (* t y2) (* y y3))) (* y1 (- (* z y3) (* x y2))))))
        (t_2
         (*
          k
          (-
           (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5))))
           (* i (* z y1)))))
        (t_3 (- (* i y1) (* b y0)))
        (t_4 (- (* a b) (* c i))))
   (if (<= a -4.8e+233)
     t_1
     (if (<= a -3.8e+192)
       (* y0 (* y2 (- (* x c) (* k y5))))
       (if (<= a -7.8e+97)
         (*
          y
          (+
           (+ (* k (- (* i y5) (* b y4))) (* x t_4))
           (* y3 (- (* c y4) (* a y5)))))
         (if (<= a -1.35e-8)
           (*
            z
            (+
             (* k (- (* b y0) (* i y1)))
             (- (* y3 (- (* a y1) (* c y0))) (* t t_4))))
           (if (<= a -5.8e-159)
             t_2
             (if (<= a -2.2e-238)
               (* x (+ (+ (* y t_4) (* y2 (- (* c y0) (* a y1)))) (* j t_3)))
               (if (<= a -1.26e-300)
                 t_2
                 (if (<= a 2.15e-162)
                   (*
                    y0
                    (+
                     (+
                      (* y5 (- (* j y3) (* k y2)))
                      (* c (- (* x y2) (* z y3))))
                     (* b (- (* z k) (* x j)))))
                   (if (<= a 3.1e-24)
                     (*
                      j
                      (+
                       (+
                        (* y3 (- (* y0 y5) (* y1 y4)))
                        (* t (- (* b y4) (* i y5))))
                       (* x t_3)))
                     (if (<= a 5.4e+188)
                       (* y3 (* y5 (* y (- (* j (/ y0 y)) a))))
                       t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	double t_2 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	double t_3 = (i * y1) - (b * y0);
	double t_4 = (a * b) - (c * i);
	double tmp;
	if (a <= -4.8e+233) {
		tmp = t_1;
	} else if (a <= -3.8e+192) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (a <= -7.8e+97) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_4)) + (y3 * ((c * y4) - (a * y5))));
	} else if (a <= -1.35e-8) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)));
	} else if (a <= -5.8e-159) {
		tmp = t_2;
	} else if (a <= -2.2e-238) {
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	} else if (a <= -1.26e-300) {
		tmp = t_2;
	} else if (a <= 2.15e-162) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (a <= 3.1e-24) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	} else if (a <= 5.4e+188) {
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    t_2 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    t_3 = (i * y1) - (b * y0)
    t_4 = (a * b) - (c * i)
    if (a <= (-4.8d+233)) then
        tmp = t_1
    else if (a <= (-3.8d+192)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (a <= (-7.8d+97)) then
        tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_4)) + (y3 * ((c * y4) - (a * y5))))
    else if (a <= (-1.35d-8)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)))
    else if (a <= (-5.8d-159)) then
        tmp = t_2
    else if (a <= (-2.2d-238)) then
        tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
    else if (a <= (-1.26d-300)) then
        tmp = t_2
    else if (a <= 2.15d-162) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    else if (a <= 3.1d-24) then
        tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3))
    else if (a <= 5.4d+188) then
        tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)))
    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 * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	double t_2 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	double t_3 = (i * y1) - (b * y0);
	double t_4 = (a * b) - (c * i);
	double tmp;
	if (a <= -4.8e+233) {
		tmp = t_1;
	} else if (a <= -3.8e+192) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (a <= -7.8e+97) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_4)) + (y3 * ((c * y4) - (a * y5))));
	} else if (a <= -1.35e-8) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)));
	} else if (a <= -5.8e-159) {
		tmp = t_2;
	} else if (a <= -2.2e-238) {
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	} else if (a <= -1.26e-300) {
		tmp = t_2;
	} else if (a <= 2.15e-162) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (a <= 3.1e-24) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	} else if (a <= 5.4e+188) {
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)));
	} 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 * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	t_2 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	t_3 = (i * y1) - (b * y0)
	t_4 = (a * b) - (c * i)
	tmp = 0
	if a <= -4.8e+233:
		tmp = t_1
	elif a <= -3.8e+192:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif a <= -7.8e+97:
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_4)) + (y3 * ((c * y4) - (a * y5))))
	elif a <= -1.35e-8:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)))
	elif a <= -5.8e-159:
		tmp = t_2
	elif a <= -2.2e-238:
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
	elif a <= -1.26e-300:
		tmp = t_2
	elif a <= 2.15e-162:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	elif a <= 3.1e-24:
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3))
	elif a <= 5.4e+188:
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)))
	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(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))))
	t_2 = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))))
	t_3 = Float64(Float64(i * y1) - Float64(b * y0))
	t_4 = Float64(Float64(a * b) - Float64(c * i))
	tmp = 0.0
	if (a <= -4.8e+233)
		tmp = t_1;
	elseif (a <= -3.8e+192)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (a <= -7.8e+97)
		tmp = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_4)) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (a <= -1.35e-8)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_4))));
	elseif (a <= -5.8e-159)
		tmp = t_2;
	elseif (a <= -2.2e-238)
		tmp = Float64(x * Float64(Float64(Float64(y * t_4) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_3)));
	elseif (a <= -1.26e-300)
		tmp = t_2;
	elseif (a <= 2.15e-162)
		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 (a <= 3.1e-24)
		tmp = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_3)));
	elseif (a <= 5.4e+188)
		tmp = Float64(y3 * Float64(y5 * Float64(y * Float64(Float64(j * Float64(y0 / y)) - a))));
	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 * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	t_2 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	t_3 = (i * y1) - (b * y0);
	t_4 = (a * b) - (c * i);
	tmp = 0.0;
	if (a <= -4.8e+233)
		tmp = t_1;
	elseif (a <= -3.8e+192)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (a <= -7.8e+97)
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_4)) + (y3 * ((c * y4) - (a * y5))));
	elseif (a <= -1.35e-8)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)));
	elseif (a <= -5.8e-159)
		tmp = t_2;
	elseif (a <= -2.2e-238)
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	elseif (a <= -1.26e-300)
		tmp = t_2;
	elseif (a <= 2.15e-162)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	elseif (a <= 3.1e-24)
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	elseif (a <= 5.4e+188)
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)));
	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[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -4.8e+233], t$95$1, If[LessEqual[a, -3.8e+192], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -7.8e+97], N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.35e-8], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.8e-159], t$95$2, If[LessEqual[a, -2.2e-238], N[(x * N[(N[(N[(y * t$95$4), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.26e-300], t$95$2, If[LessEqual[a, 2.15e-162], 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[a, 3.1e-24], N[(j * N[(N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.4e+188], N[(y3 * N[(y5 * N[(y * N[(N[(j * N[(y0 / y), $MachinePrecision]), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -4.80000000000000005e233 or 5.4e188 < a

   1. Initial program 27.9%

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

   3. Taylor expanded in b around 0 23.5%

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

   4. Taylor expanded in a around -inf 67.7%

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

      1. mul-1-neg 67.7%

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

   6. Simplified 67.7%

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

   if -4.80000000000000005e233 < a < -3.7999999999999999e192

   1. Initial program 10.0%

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

   3. Taylor expanded in b around 0 20.0%

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

   4. Taylor expanded in y0 around inf 50.1%

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

   5. Taylor expanded in y2 around -inf 71.0%

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

      1. mul-1-neg 71.0%

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

      2. distribute-rgt-neg-in 71.0%

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

      3. *-commutative 71.0%

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

      4. distribute-rgt-neg-in 71.0%

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

      5. +-commutative 71.0%

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

      6. mul-1-neg 71.0%

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

      7. unsub-neg 71.0%

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

      8. *-commutative 71.0%

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

   7. Simplified 71.0%

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

   if -3.7999999999999999e192 < a < -7.7999999999999999e97

   1. Initial program 30.8%

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

   3. Taylor expanded in y around inf 57.3%

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

   if -7.7999999999999999e97 < a < -1.35000000000000001e-8

   1. Initial program 25.0%

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

   3. Taylor expanded in z around -inf 68.8%

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

   if -1.35000000000000001e-8 < a < -5.79999999999999981e-159 or -2.19999999999999991e-238 < a < -1.25999999999999992e-300

   1. Initial program 38.4%

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

   3. Taylor expanded in b around 0 32.9%

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

   4. Taylor expanded in k around inf 63.2%

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

   if -5.79999999999999981e-159 < a < -2.19999999999999991e-238

   1. Initial program 40.0%

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

   3. Taylor expanded in x around inf 67.3%

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

   if -1.25999999999999992e-300 < a < 2.14999999999999998e-162

   1. Initial program 30.5%

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

   3. Taylor expanded in y0 around inf 64.1%

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

   if 2.14999999999999998e-162 < a < 3.1e-24

   1. Initial program 51.9%

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

   3. Taylor expanded in j around inf 55.7%

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

   if 3.1e-24 < a < 5.4e188

   1. Initial program 27.4%

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

   3. Taylor expanded in y3 around -inf 33.6%

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

   4. Taylor expanded in y5 around -inf 47.5%

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

      1. mul-1-neg 47.5%

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

   6. Simplified 47.5%

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

   7. Taylor expanded in y around inf 51.2%

      \[\leadsto -1 \cdot \left(-y3 \cdot \left(y5 \cdot \color{blue}{\left(y \cdot \left(\frac{j \cdot y0}{y} - a\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. associate-/l* 56.8%

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

   9. Simplified 56.8%

      \[\leadsto -1 \cdot \left(-y3 \cdot \left(y5 \cdot \color{blue}{\left(y \cdot \left(j \cdot \frac{y0}{y} - a\right)\right)}\right)\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.8 \cdot 10^{+233}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{+192}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -7.8 \cdot 10^{+97}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -1.35 \cdot 10^{-8}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-159}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{-238}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1.26 \cdot 10^{-300}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 2.15 \cdot 10^{-162}:\\ \;\;\;\;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}\;a \leq 3.1 \cdot 10^{-24}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+188}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(y \cdot \left(j \cdot \frac{y0}{y} - a\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 38.7% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ t_2 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ t_3 := i \cdot y1 - b \cdot y0\\ t_4 := a \cdot b - c \cdot i\\ \mathbf{if}\;a \leq -2.9 \cdot 10^{+244}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq -5.4 \cdot 10^{+218}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2.15 \cdot 10^{+104}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -0.00016:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_4\right)\right)\\ \mathbf{elif}\;a \leq -8.4 \cdot 10^{-159}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-237}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t\_4 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t\_3\right)\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-301}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-162}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-24}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_3\right)\\ \mathbf{elif}\;a \leq 9.8 \cdot 10^{+188}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(y \cdot \left(j \cdot \frac{y0}{y} - a\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          k
          (-
           (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5))))
           (* i (* z y1)))))
        (t_2
         (* a (+ (* y5 (- (* t y2) (* y y3))) (* y1 (- (* z y3) (* x y2))))))
        (t_3 (- (* i y1) (* b y0)))
        (t_4 (- (* a b) (* c i))))
   (if (<= a -2.9e+244)
     t_2
     (if (<= a -5.4e+218)
       (* k (* y5 (- (* y i) (* y0 y2))))
       (if (<= a -2.15e+104)
         (* a (* y (- (* x b) (* y3 y5))))
         (if (<= a -0.00016)
           (*
            z
            (+
             (* k (- (* b y0) (* i y1)))
             (- (* y3 (- (* a y1) (* c y0))) (* t t_4))))
           (if (<= a -8.4e-159)
             t_1
             (if (<= a -4.2e-237)
               (* x (+ (+ (* y t_4) (* y2 (- (* c y0) (* a y1)))) (* j t_3)))
               (if (<= a -7.2e-301)
                 t_1
                 (if (<= a 7e-162)
                   (*
                    y0
                    (+
                     (+
                      (* y5 (- (* j y3) (* k y2)))
                      (* c (- (* x y2) (* z y3))))
                     (* b (- (* z k) (* x j)))))
                   (if (<= a 2.8e-24)
                     (*
                      j
                      (+
                       (+
                        (* y3 (- (* y0 y5) (* y1 y4)))
                        (* t (- (* b y4) (* i y5))))
                       (* x t_3)))
                     (if (<= a 9.8e+188)
                       (* y3 (* y5 (* y (- (* j (/ y0 y)) a))))
                       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 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	double t_2 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	double t_3 = (i * y1) - (b * y0);
	double t_4 = (a * b) - (c * i);
	double tmp;
	if (a <= -2.9e+244) {
		tmp = t_2;
	} else if (a <= -5.4e+218) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (a <= -2.15e+104) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -0.00016) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)));
	} else if (a <= -8.4e-159) {
		tmp = t_1;
	} else if (a <= -4.2e-237) {
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	} else if (a <= -7.2e-301) {
		tmp = t_1;
	} else if (a <= 7e-162) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (a <= 2.8e-24) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	} else if (a <= 9.8e+188) {
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)));
	} 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 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    t_2 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    t_3 = (i * y1) - (b * y0)
    t_4 = (a * b) - (c * i)
    if (a <= (-2.9d+244)) then
        tmp = t_2
    else if (a <= (-5.4d+218)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (a <= (-2.15d+104)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-0.00016d0)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)))
    else if (a <= (-8.4d-159)) then
        tmp = t_1
    else if (a <= (-4.2d-237)) then
        tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
    else if (a <= (-7.2d-301)) then
        tmp = t_1
    else if (a <= 7d-162) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    else if (a <= 2.8d-24) then
        tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3))
    else if (a <= 9.8d+188) then
        tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)))
    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 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	double t_2 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	double t_3 = (i * y1) - (b * y0);
	double t_4 = (a * b) - (c * i);
	double tmp;
	if (a <= -2.9e+244) {
		tmp = t_2;
	} else if (a <= -5.4e+218) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (a <= -2.15e+104) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -0.00016) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)));
	} else if (a <= -8.4e-159) {
		tmp = t_1;
	} else if (a <= -4.2e-237) {
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	} else if (a <= -7.2e-301) {
		tmp = t_1;
	} else if (a <= 7e-162) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (a <= 2.8e-24) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	} else if (a <= 9.8e+188) {
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)));
	} 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 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	t_2 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	t_3 = (i * y1) - (b * y0)
	t_4 = (a * b) - (c * i)
	tmp = 0
	if a <= -2.9e+244:
		tmp = t_2
	elif a <= -5.4e+218:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif a <= -2.15e+104:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -0.00016:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)))
	elif a <= -8.4e-159:
		tmp = t_1
	elif a <= -4.2e-237:
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
	elif a <= -7.2e-301:
		tmp = t_1
	elif a <= 7e-162:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	elif a <= 2.8e-24:
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3))
	elif a <= 9.8e+188:
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)))
	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(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))))
	t_2 = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))))
	t_3 = Float64(Float64(i * y1) - Float64(b * y0))
	t_4 = Float64(Float64(a * b) - Float64(c * i))
	tmp = 0.0
	if (a <= -2.9e+244)
		tmp = t_2;
	elseif (a <= -5.4e+218)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (a <= -2.15e+104)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -0.00016)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_4))));
	elseif (a <= -8.4e-159)
		tmp = t_1;
	elseif (a <= -4.2e-237)
		tmp = Float64(x * Float64(Float64(Float64(y * t_4) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_3)));
	elseif (a <= -7.2e-301)
		tmp = t_1;
	elseif (a <= 7e-162)
		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 (a <= 2.8e-24)
		tmp = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_3)));
	elseif (a <= 9.8e+188)
		tmp = Float64(y3 * Float64(y5 * Float64(y * Float64(Float64(j * Float64(y0 / y)) - a))));
	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 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	t_2 = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	t_3 = (i * y1) - (b * y0);
	t_4 = (a * b) - (c * i);
	tmp = 0.0;
	if (a <= -2.9e+244)
		tmp = t_2;
	elseif (a <= -5.4e+218)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (a <= -2.15e+104)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -0.00016)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_4)));
	elseif (a <= -8.4e-159)
		tmp = t_1;
	elseif (a <= -4.2e-237)
		tmp = x * (((y * t_4) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	elseif (a <= -7.2e-301)
		tmp = t_1;
	elseif (a <= 7e-162)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	elseif (a <= 2.8e-24)
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	elseif (a <= 9.8e+188)
		tmp = y3 * (y5 * (y * ((j * (y0 / y)) - a)));
	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[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.9e+244], t$95$2, If[LessEqual[a, -5.4e+218], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.15e+104], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -0.00016], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8.4e-159], t$95$1, If[LessEqual[a, -4.2e-237], N[(x * N[(N[(N[(y * t$95$4), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -7.2e-301], t$95$1, If[LessEqual[a, 7e-162], 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[a, 2.8e-24], N[(j * N[(N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.8e+188], N[(y3 * N[(y5 * N[(y * N[(N[(j * N[(y0 / y), $MachinePrecision]), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -2.9000000000000001e244 or 9.8e188 < a

   1. Initial program 28.5%

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

   3. Taylor expanded in b around 0 24.1%

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

   4. Taylor expanded in a around -inf 69.3%

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

      1. mul-1-neg 69.3%

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

   6. Simplified 69.3%

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

   if -2.9000000000000001e244 < a < -5.40000000000000025e218

   1. Initial program 0.0%

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

   3. Taylor expanded in y5 around -inf 34.2%

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

   4. Taylor expanded in k around inf 83.5%

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

      1. +-commutative 83.5%

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

      2. mul-1-neg 83.5%

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

      3. unsub-neg 83.5%

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

      4. *-commutative 83.5%

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

   6. Simplified 83.5%

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

   if -5.40000000000000025e218 < a < -2.1500000000000001e104

   1. Initial program 27.2%

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

   3. Taylor expanded in y around inf 47.1%

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

   4. Taylor expanded in a around inf 54.7%

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

   if -2.1500000000000001e104 < a < -1.60000000000000013e-4

   1. Initial program 27.8%

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

   3. Taylor expanded in z around -inf 66.8%

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

   if -1.60000000000000013e-4 < a < -8.3999999999999997e-159 or -4.2000000000000002e-237 < a < -7.20000000000000015e-301

   1. Initial program 38.4%

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

   3. Taylor expanded in b around 0 32.9%

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

   4. Taylor expanded in k around inf 63.2%

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

   if -8.3999999999999997e-159 < a < -4.2000000000000002e-237

   1. Initial program 40.0%

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

   3. Taylor expanded in x around inf 67.3%

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

   if -7.20000000000000015e-301 < a < 6.9999999999999998e-162

   1. Initial program 30.5%

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

   3. Taylor expanded in y0 around inf 64.1%

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

   if 6.9999999999999998e-162 < a < 2.8000000000000002e-24

   1. Initial program 51.9%

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

   3. Taylor expanded in j around inf 55.7%

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

   if 2.8000000000000002e-24 < a < 9.8e188

   1. Initial program 27.4%

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

   3. Taylor expanded in y3 around -inf 33.6%

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

   4. Taylor expanded in y5 around -inf 47.5%

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

      1. mul-1-neg 47.5%

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

   6. Simplified 47.5%

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

   7. Taylor expanded in y around inf 51.2%

      \[\leadsto -1 \cdot \left(-y3 \cdot \left(y5 \cdot \color{blue}{\left(y \cdot \left(\frac{j \cdot y0}{y} - a\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. associate-/l* 56.8%

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

   9. Simplified 56.8%

      \[\leadsto -1 \cdot \left(-y3 \cdot \left(y5 \cdot \color{blue}{\left(y \cdot \left(j \cdot \frac{y0}{y} - a\right)\right)}\right)\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.9 \cdot 10^{+244}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -5.4 \cdot 10^{+218}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2.15 \cdot 10^{+104}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -0.00016:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{elif}\;a \leq -8.4 \cdot 10^{-159}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-237}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-301}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-162}:\\ \;\;\;\;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}\;a \leq 2.8 \cdot 10^{-24}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 9.8 \cdot 10^{+188}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(y \cdot \left(j \cdot \frac{y0}{y} - a\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 40.5% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_2 := a \cdot b - c \cdot i\\ t_3 := b \cdot y4 - i \cdot y5\\ \mathbf{if}\;y \leq -3.8 \cdot 10^{+278}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{+129}:\\ \;\;\;\;x \cdot \left(y \cdot t\_2\right)\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+54}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-75}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot t\_3\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-239}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{-286}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot t\_3\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{-265}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+46}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 9 \cdot 10^{+168}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t\_2\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (* y0 (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* b y4) (* i y5))))
   (if (<= y -3.8e+278)
     (* c (* y3 (- (* y y4) (* z y0))))
     (if (<= y -2.2e+129)
       (* x (* y t_2))
       (if (<= y -9e+54)
         (*
          k
          (- (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5)))) (* i (* z y1))))
         (if (<= y -4e-75)
           (*
            j
            (+
             (+ (* y3 (- (* y0 y5) (* y1 y4))) (* t t_3))
             (* x (- (* i y1) (* b y0)))))
           (if (<= y -3.1e-239)
             t_1
             (if (<= y -1.4e-286)
               (*
                t
                (+
                 (+ (* z (- (* c i) (* a b))) (* j t_3))
                 (* y2 (- (* a y5) (* c y4)))))
               (if (<= y 2.35e-265)
                 t_1
                 (if (<= y 3.4e+46)
                   (*
                    y1
                    (+
                     (+
                      (* a (- (* z y3) (* x y2)))
                      (* y4 (- (* k y2) (* j y3))))
                     (* i (- (* x j) (* z k)))))
                   (if (<= y 9e+168)
                     t_1
                     (*
                      y
                      (+
                       (+ (* k (- (* i y5) (* b y4))) (* x t_2))
                       (* y3 (- (* c y4) (* a y5))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	double t_2 = (a * b) - (c * i);
	double t_3 = (b * y4) - (i * y5);
	double tmp;
	if (y <= -3.8e+278) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (y <= -2.2e+129) {
		tmp = x * (y * t_2);
	} else if (y <= -9e+54) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (y <= -4e-75) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * t_3)) + (x * ((i * y1) - (b * y0))));
	} else if (y <= -3.1e-239) {
		tmp = t_1;
	} else if (y <= -1.4e-286) {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y <= 2.35e-265) {
		tmp = t_1;
	} else if (y <= 3.4e+46) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} else if (y <= 9e+168) {
		tmp = t_1;
	} else {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_2)) + (y3 * ((c * y4) - (a * y5))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
    t_2 = (a * b) - (c * i)
    t_3 = (b * y4) - (i * y5)
    if (y <= (-3.8d+278)) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (y <= (-2.2d+129)) then
        tmp = x * (y * t_2)
    else if (y <= (-9d+54)) then
        tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    else if (y <= (-4d-75)) then
        tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * t_3)) + (x * ((i * y1) - (b * y0))))
    else if (y <= (-3.1d-239)) then
        tmp = t_1
    else if (y <= (-1.4d-286)) then
        tmp = t * (((z * ((c * i) - (a * b))) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))))
    else if (y <= 2.35d-265) then
        tmp = t_1
    else if (y <= 3.4d+46) then
        tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
    else if (y <= 9d+168) then
        tmp = t_1
    else
        tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_2)) + (y3 * ((c * y4) - (a * y5))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	double t_2 = (a * b) - (c * i);
	double t_3 = (b * y4) - (i * y5);
	double tmp;
	if (y <= -3.8e+278) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (y <= -2.2e+129) {
		tmp = x * (y * t_2);
	} else if (y <= -9e+54) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (y <= -4e-75) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * t_3)) + (x * ((i * y1) - (b * y0))));
	} else if (y <= -3.1e-239) {
		tmp = t_1;
	} else if (y <= -1.4e-286) {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y <= 2.35e-265) {
		tmp = t_1;
	} else if (y <= 3.4e+46) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} else if (y <= 9e+168) {
		tmp = t_1;
	} else {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_2)) + (y3 * ((c * y4) - (a * y5))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
	t_2 = (a * b) - (c * i)
	t_3 = (b * y4) - (i * y5)
	tmp = 0
	if y <= -3.8e+278:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif y <= -2.2e+129:
		tmp = x * (y * t_2)
	elif y <= -9e+54:
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	elif y <= -4e-75:
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * t_3)) + (x * ((i * y1) - (b * y0))))
	elif y <= -3.1e-239:
		tmp = t_1
	elif y <= -1.4e-286:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))))
	elif y <= 2.35e-265:
		tmp = t_1
	elif y <= 3.4e+46:
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
	elif y <= 9e+168:
		tmp = t_1
	else:
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_2)) + (y3 * ((c * y4) - (a * y5))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(b * y4) - Float64(i * y5))
	tmp = 0.0
	if (y <= -3.8e+278)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (y <= -2.2e+129)
		tmp = Float64(x * Float64(y * t_2));
	elseif (y <= -9e+54)
		tmp = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))));
	elseif (y <= -4e-75)
		tmp = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * t_3)) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y <= -3.1e-239)
		tmp = t_1;
	elseif (y <= -1.4e-286)
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * t_3)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y <= 2.35e-265)
		tmp = t_1;
	elseif (y <= 3.4e+46)
		tmp = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y <= 9e+168)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_2)) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	t_2 = (a * b) - (c * i);
	t_3 = (b * y4) - (i * y5);
	tmp = 0.0;
	if (y <= -3.8e+278)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (y <= -2.2e+129)
		tmp = x * (y * t_2);
	elseif (y <= -9e+54)
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	elseif (y <= -4e-75)
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * t_3)) + (x * ((i * y1) - (b * y0))));
	elseif (y <= -3.1e-239)
		tmp = t_1;
	elseif (y <= -1.4e-286)
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_3)) + (y2 * ((a * y5) - (c * y4))));
	elseif (y <= 2.35e-265)
		tmp = t_1;
	elseif (y <= 3.4e+46)
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	elseif (y <= 9e+168)
		tmp = t_1;
	else
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_2)) + (y3 * ((c * y4) - (a * y5))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * 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]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -3.8e+278], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.2e+129], N[(x * N[(y * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -9e+54], N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -4e-75], N[(j * N[(N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.1e-239], t$95$1, If[LessEqual[y, -1.4e-286], N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.35e-265], t$95$1, If[LessEqual[y, 3.4e+46], N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 9e+168], t$95$1, N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y < -3.7999999999999999e278

   1. Initial program 14.1%

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

   3. Taylor expanded in y3 around -inf 59.4%

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

   4. Taylor expanded in c around inf 100.0%

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

   if -3.7999999999999999e278 < y < -2.1999999999999999e129

   1. Initial program 33.3%

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

   3. Taylor expanded in y around inf 53.3%

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

   4. Taylor expanded in x around inf 64.1%

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

   if -2.1999999999999999e129 < y < -8.99999999999999968e54

   1. Initial program 29.9%

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

   3. Taylor expanded in b around 0 15.2%

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

   4. Taylor expanded in k around inf 65.4%

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

   if -8.99999999999999968e54 < y < -3.9999999999999998e-75

   1. Initial program 45.1%

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

   3. Taylor expanded in j around inf 58.9%

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

   if -3.9999999999999998e-75 < y < -3.09999999999999985e-239 or -1.4e-286 < y < 2.34999999999999993e-265 or 3.3999999999999998e46 < y < 9.00000000000000024e168

   1. Initial program 28.9%

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

   3. Taylor expanded in b around 0 33.1%

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

   4. Taylor expanded in y0 around inf 64.3%

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

   if -3.09999999999999985e-239 < y < -1.4e-286

   1. Initial program 51.8%

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

   3. Taylor expanded in t around inf 68.1%

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

   if 2.34999999999999993e-265 < y < 3.3999999999999998e46

   1. Initial program 24.5%

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

   3. Taylor expanded in y1 around inf 47.7%

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

   if 9.00000000000000024e168 < y

   1. Initial program 38.7%

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

   3. Taylor expanded in y around inf 67.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 61.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -3.8 \cdot 10^{+278}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{+129}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+54}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-75}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-239}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{-286}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{-265}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+46}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 9 \cdot 10^{+168}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 30.9% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_3 := k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{if}\;t \leq -8.2 \cdot 10^{-74}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-137}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -5.1 \cdot 10^{-256}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-309}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 5.7 \cdot 10^{-61}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 280000000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 4.3 \cdot 10^{+102}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+181}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 3.9 \cdot 10^{+273}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (* a (- b (* c (/ i a)))))))
        (t_2 (* b (* j (- (* t y4) (* x y0)))))
        (t_3
         (*
          k
          (-
           (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5))))
           (* i (* z y1))))))
   (if (<= t -8.2e-74)
     t_2
     (if (<= t -7.5e-137)
       t_1
       (if (<= t -5.1e-256)
         t_3
         (if (<= t -8e-309)
           (* y (* x (- (* a b) (* c i))))
           (if (<= t 2e-172)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= t 5.7e-61)
               (* y (* y5 (- (* i k) (* a y3))))
               (if (<= t 280000000.0)
                 t_1
                 (if (<= t 4.3e+102)
                   t_3
                   (if (<= t 2.2e+181)
                     (*
                      y0
                      (+
                       (* y5 (- (* j y3) (* k y2)))
                       (* c (- (* x y2) (* z y3)))))
                     (if (<= t 3.9e+273)
                       t_2
                       (* y (* k (- (* i y5) (* b y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * (b - (c * (i / a)))));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double t_3 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	double tmp;
	if (t <= -8.2e-74) {
		tmp = t_2;
	} else if (t <= -7.5e-137) {
		tmp = t_1;
	} else if (t <= -5.1e-256) {
		tmp = t_3;
	} else if (t <= -8e-309) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (t <= 2e-172) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 5.7e-61) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 280000000.0) {
		tmp = t_1;
	} else if (t <= 4.3e+102) {
		tmp = t_3;
	} else if (t <= 2.2e+181) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	} else if (t <= 3.9e+273) {
		tmp = t_2;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = x * (y * (a * (b - (c * (i / a)))))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    t_3 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    if (t <= (-8.2d-74)) then
        tmp = t_2
    else if (t <= (-7.5d-137)) then
        tmp = t_1
    else if (t <= (-5.1d-256)) then
        tmp = t_3
    else if (t <= (-8d-309)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (t <= 2d-172) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 5.7d-61) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (t <= 280000000.0d0) then
        tmp = t_1
    else if (t <= 4.3d+102) then
        tmp = t_3
    else if (t <= 2.2d+181) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
    else if (t <= 3.9d+273) then
        tmp = t_2
    else
        tmp = y * (k * ((i * y5) - (b * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * (b - (c * (i / a)))));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double t_3 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	double tmp;
	if (t <= -8.2e-74) {
		tmp = t_2;
	} else if (t <= -7.5e-137) {
		tmp = t_1;
	} else if (t <= -5.1e-256) {
		tmp = t_3;
	} else if (t <= -8e-309) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (t <= 2e-172) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 5.7e-61) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 280000000.0) {
		tmp = t_1;
	} else if (t <= 4.3e+102) {
		tmp = t_3;
	} else if (t <= 2.2e+181) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	} else if (t <= 3.9e+273) {
		tmp = t_2;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y * (a * (b - (c * (i / a)))))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	t_3 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	tmp = 0
	if t <= -8.2e-74:
		tmp = t_2
	elif t <= -7.5e-137:
		tmp = t_1
	elif t <= -5.1e-256:
		tmp = t_3
	elif t <= -8e-309:
		tmp = y * (x * ((a * b) - (c * i)))
	elif t <= 2e-172:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 5.7e-61:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif t <= 280000000.0:
		tmp = t_1
	elif t <= 4.3e+102:
		tmp = t_3
	elif t <= 2.2e+181:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
	elif t <= 3.9e+273:
		tmp = t_2
	else:
		tmp = y * (k * ((i * y5) - (b * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(y * Float64(a * Float64(b - Float64(c * Float64(i / a))))))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	t_3 = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))))
	tmp = 0.0
	if (t <= -8.2e-74)
		tmp = t_2;
	elseif (t <= -7.5e-137)
		tmp = t_1;
	elseif (t <= -5.1e-256)
		tmp = t_3;
	elseif (t <= -8e-309)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (t <= 2e-172)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 5.7e-61)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (t <= 280000000.0)
		tmp = t_1;
	elseif (t <= 4.3e+102)
		tmp = t_3;
	elseif (t <= 2.2e+181)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))));
	elseif (t <= 3.9e+273)
		tmp = t_2;
	else
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (y * (a * (b - (c * (i / a)))));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	t_3 = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	tmp = 0.0;
	if (t <= -8.2e-74)
		tmp = t_2;
	elseif (t <= -7.5e-137)
		tmp = t_1;
	elseif (t <= -5.1e-256)
		tmp = t_3;
	elseif (t <= -8e-309)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (t <= 2e-172)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 5.7e-61)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (t <= 280000000.0)
		tmp = t_1;
	elseif (t <= 4.3e+102)
		tmp = t_3;
	elseif (t <= 2.2e+181)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	elseif (t <= 3.9e+273)
		tmp = t_2;
	else
		tmp = y * (k * ((i * y5) - (b * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(y * N[(a * N[(b - N[(c * N[(i / a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -8.2e-74], t$95$2, If[LessEqual[t, -7.5e-137], t$95$1, If[LessEqual[t, -5.1e-256], t$95$3, If[LessEqual[t, -8e-309], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2e-172], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 5.7e-61], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 280000000.0], t$95$1, If[LessEqual[t, 4.3e+102], t$95$3, If[LessEqual[t, 2.2e+181], N[(y0 * 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]), $MachinePrecision], If[LessEqual[t, 3.9e+273], t$95$2, N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if t < -8.20000000000000063e-74 or 2.2000000000000001e181 < t < 3.9000000000000001e273

   1. Initial program 28.5%

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

   3. Taylor expanded in b around inf 36.6%

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

   4. Taylor expanded in j around inf 57.5%

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

   if -8.20000000000000063e-74 < t < -7.4999999999999995e-137 or 5.70000000000000005e-61 < t < 2.8e8

   1. Initial program 32.8%

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

   3. Taylor expanded in y around inf 41.4%

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

   4. Taylor expanded in x around inf 56.3%

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

   5. Taylor expanded in a around inf 62.4%

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

      1. mul-1-neg 62.4%

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

      2. unsub-neg 62.4%

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

      3. associate-/l* 65.2%

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

   7. Simplified 65.2%

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

   if -7.4999999999999995e-137 < t < -5.10000000000000011e-256 or 2.8e8 < t < 4.3000000000000001e102

   1. Initial program 34.3%

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

   3. Taylor expanded in b around 0 39.3%

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

   4. Taylor expanded in k around inf 54.4%

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

   if -5.10000000000000011e-256 < t < -8.0000000000000003e-309

   1. Initial program 45.1%

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

   3. Taylor expanded in y around inf 56.2%

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

   4. Taylor expanded in x around inf 67.7%

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

   if -8.0000000000000003e-309 < t < 2.0000000000000001e-172

   1. Initial program 38.7%

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

   3. Taylor expanded in j around inf 46.7%

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

   4. Taylor expanded in y0 around inf 55.2%

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

   if 2.0000000000000001e-172 < t < 5.70000000000000005e-61

   1. Initial program 33.2%

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

   3. Taylor expanded in y around inf 46.0%

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

   4. Taylor expanded in y5 around inf 55.6%

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

   if 4.3000000000000001e102 < t < 2.2000000000000001e181

   1. Initial program 23.5%

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

   3. Taylor expanded in b around 0 17.6%

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

   4. Taylor expanded in y0 around inf 70.8%

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

   if 3.9000000000000001e273 < t

   1. Initial program 42.9%

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

   3. Taylor expanded in y around inf 71.5%

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

   4. Taylor expanded in k around inf 72.5%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 59.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -8.2 \cdot 10^{-74}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-137}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq -5.1 \cdot 10^{-256}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-309}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 5.7 \cdot 10^{-61}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 280000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 4.3 \cdot 10^{+102}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+181}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 3.9 \cdot 10^{+273}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 31.2% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := a \cdot b - c \cdot i\\ \mathbf{if}\;t \leq -8.6 \cdot 10^{-65}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-225}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t\_2 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -8.6 \cdot 10^{-254}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{-302}:\\ \;\;\;\;y \cdot \left(x \cdot t\_2\right)\\ \mathbf{elif}\;t \leq 3.5 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{-64}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 13500000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{+102}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{+180}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{+273}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))) (t_2 (- (* a b) (* c i))))
   (if (<= t -8.6e-65)
     t_1
     (if (<= t -8e-225)
       (*
        x
        (+
         (+ (* y t_2) (* y2 (- (* c y0) (* a y1))))
         (* j (- (* i y1) (* b y0)))))
       (if (<= t -8.6e-254)
         (* k (* y5 (- (* y i) (* y0 y2))))
         (if (<= t 4.5e-302)
           (* y (* x t_2))
           (if (<= t 3.5e-171)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= t 2.9e-64)
               (* y (* y5 (- (* i k) (* a y3))))
               (if (<= t 13500000.0)
                 (* x (* y (* a (- b (* c (/ i a))))))
                 (if (<= t 1.05e+102)
                   (*
                    k
                    (-
                     (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5))))
                     (* i (* z y1))))
                   (if (<= t 1.15e+180)
                     (*
                      y0
                      (+
                       (* y5 (- (* j y3) (* k y2)))
                       (* c (- (* x y2) (* z y3)))))
                     (if (<= t 1.2e+273)
                       t_1
                       (* y (* k (- (* i y5) (* b y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = (a * b) - (c * i);
	double tmp;
	if (t <= -8.6e-65) {
		tmp = t_1;
	} else if (t <= -8e-225) {
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (t <= -8.6e-254) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (t <= 4.5e-302) {
		tmp = y * (x * t_2);
	} else if (t <= 3.5e-171) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 2.9e-64) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 13500000.0) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= 1.05e+102) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (t <= 1.15e+180) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	} else if (t <= 1.2e+273) {
		tmp = t_1;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    t_2 = (a * b) - (c * i)
    if (t <= (-8.6d-65)) then
        tmp = t_1
    else if (t <= (-8d-225)) then
        tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    else if (t <= (-8.6d-254)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (t <= 4.5d-302) then
        tmp = y * (x * t_2)
    else if (t <= 3.5d-171) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 2.9d-64) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (t <= 13500000.0d0) then
        tmp = x * (y * (a * (b - (c * (i / a)))))
    else if (t <= 1.05d+102) then
        tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    else if (t <= 1.15d+180) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
    else if (t <= 1.2d+273) then
        tmp = t_1
    else
        tmp = y * (k * ((i * y5) - (b * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = (a * b) - (c * i);
	double tmp;
	if (t <= -8.6e-65) {
		tmp = t_1;
	} else if (t <= -8e-225) {
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (t <= -8.6e-254) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (t <= 4.5e-302) {
		tmp = y * (x * t_2);
	} else if (t <= 3.5e-171) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 2.9e-64) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 13500000.0) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= 1.05e+102) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (t <= 1.15e+180) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	} else if (t <= 1.2e+273) {
		tmp = t_1;
	} else {
		tmp = y * (k * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	t_2 = (a * b) - (c * i)
	tmp = 0
	if t <= -8.6e-65:
		tmp = t_1
	elif t <= -8e-225:
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	elif t <= -8.6e-254:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif t <= 4.5e-302:
		tmp = y * (x * t_2)
	elif t <= 3.5e-171:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 2.9e-64:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif t <= 13500000.0:
		tmp = x * (y * (a * (b - (c * (i / a)))))
	elif t <= 1.05e+102:
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	elif t <= 1.15e+180:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))))
	elif t <= 1.2e+273:
		tmp = t_1
	else:
		tmp = y * (k * ((i * y5) - (b * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	tmp = 0.0
	if (t <= -8.6e-65)
		tmp = t_1;
	elseif (t <= -8e-225)
		tmp = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (t <= -8.6e-254)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (t <= 4.5e-302)
		tmp = Float64(y * Float64(x * t_2));
	elseif (t <= 3.5e-171)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 2.9e-64)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (t <= 13500000.0)
		tmp = Float64(x * Float64(y * Float64(a * Float64(b - Float64(c * Float64(i / a))))));
	elseif (t <= 1.05e+102)
		tmp = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))));
	elseif (t <= 1.15e+180)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))));
	elseif (t <= 1.2e+273)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	t_2 = (a * b) - (c * i);
	tmp = 0.0;
	if (t <= -8.6e-65)
		tmp = t_1;
	elseif (t <= -8e-225)
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	elseif (t <= -8.6e-254)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (t <= 4.5e-302)
		tmp = y * (x * t_2);
	elseif (t <= 3.5e-171)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 2.9e-64)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (t <= 13500000.0)
		tmp = x * (y * (a * (b - (c * (i / a)))));
	elseif (t <= 1.05e+102)
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	elseif (t <= 1.15e+180)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3))));
	elseif (t <= 1.2e+273)
		tmp = t_1;
	else
		tmp = y * (k * ((i * y5) - (b * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -8.6e-65], t$95$1, If[LessEqual[t, -8e-225], N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -8.6e-254], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4.5e-302], N[(y * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.5e-171], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.9e-64], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 13500000.0], N[(x * N[(y * N[(a * N[(b - N[(c * N[(i / a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.05e+102], N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.15e+180], N[(y0 * 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]), $MachinePrecision], If[LessEqual[t, 1.2e+273], t$95$1, N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if t < -8.60000000000000048e-65 or 1.1499999999999999e180 < t < 1.2000000000000001e273

   1. Initial program 29.2%

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

   3. Taylor expanded in b around inf 36.3%

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

   4. Taylor expanded in j around inf 57.7%

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

   if -8.60000000000000048e-65 < t < -7.9999999999999997e-225

   1. Initial program 23.8%

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

   3. Taylor expanded in x around inf 57.6%

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

   if -7.9999999999999997e-225 < t < -8.5999999999999994e-254

   1. Initial program 46.8%

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

   3. Taylor expanded in y5 around -inf 73.1%

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

   4. Taylor expanded in k around inf 73.3%

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

      1. +-commutative 73.3%

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

      2. mul-1-neg 73.3%

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

      3. unsub-neg 73.3%

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

      4. *-commutative 73.3%

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

   6. Simplified 73.3%

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

   if -8.5999999999999994e-254 < t < 4.50000000000000009e-302

   1. Initial program 45.1%

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

   3. Taylor expanded in y around inf 56.2%

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

   4. Taylor expanded in x around inf 67.7%

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

   if 4.50000000000000009e-302 < t < 3.49999999999999994e-171

   1. Initial program 38.7%

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

   3. Taylor expanded in j around inf 46.7%

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

   4. Taylor expanded in y0 around inf 55.2%

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

   if 3.49999999999999994e-171 < t < 2.8999999999999999e-64

   1. Initial program 33.2%

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

   3. Taylor expanded in y around inf 46.0%

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

   4. Taylor expanded in y5 around inf 55.6%

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

   if 2.8999999999999999e-64 < t < 1.35e7

   1. Initial program 39.2%

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

   3. Taylor expanded in y around inf 55.6%

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

   4. Taylor expanded in x around inf 61.2%

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

   5. Taylor expanded in a around inf 66.8%

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

      1. mul-1-neg 66.8%

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

      2. unsub-neg 66.8%

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

      3. associate-/l* 66.8%

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

   7. Simplified 66.8%

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

   if 1.35e7 < t < 1.05000000000000001e102

   1. Initial program 36.4%

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

   3. Taylor expanded in b around 0 36.4%

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

   4. Taylor expanded in k around inf 64.2%

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

   if 1.05000000000000001e102 < t < 1.1499999999999999e180

   1. Initial program 23.5%

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

   3. Taylor expanded in b around 0 17.6%

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

   4. Taylor expanded in y0 around inf 70.8%

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

   if 1.2000000000000001e273 < t

   1. Initial program 42.9%

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

   3. Taylor expanded in y around inf 71.5%

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

   4. Taylor expanded in k around inf 72.5%

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

4. Final simplification 60.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -8.6 \cdot 10^{-65}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-225}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -8.6 \cdot 10^{-254}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{-302}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 3.5 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{-64}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 13500000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{+102}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{+180}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{+273}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 30.6% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -8.5 \cdot 10^{-73}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-136}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -1.45 \cdot 10^{-253}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{-307}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-63}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+17}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{+113} \lor \neg \left(t \leq 8.5 \cdot 10^{+273}\right):\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (* a (- b (* c (/ i a)))))))
        (t_2 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -8.5e-73)
     t_2
     (if (<= t -1.8e-136)
       t_1
       (if (<= t -1.45e-253)
         (*
          k
          (- (+ (* i (* y y5)) (* y2 (- (* y1 y4) (* y0 y5)))) (* i (* z y1))))
         (if (<= t 1.3e-307)
           (* y (* x (- (* a b) (* c i))))
           (if (<= t 4e-171)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= t 1.2e-63)
               (* y (* y5 (- (* i k) (* a y3))))
               (if (<= t 2.2e+17)
                 t_1
                 (if (or (<= t 2.8e+113) (not (<= t 8.5e+273)))
                   (* y (* k (- (* i y5) (* b y4))))
                   t_2))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * (b - (c * (i / a)))));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -8.5e-73) {
		tmp = t_2;
	} else if (t <= -1.8e-136) {
		tmp = t_1;
	} else if (t <= -1.45e-253) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (t <= 1.3e-307) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (t <= 4e-171) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 1.2e-63) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 2.2e+17) {
		tmp = t_1;
	} else if ((t <= 2.8e+113) || !(t <= 8.5e+273)) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (y * (a * (b - (c * (i / a)))))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-8.5d-73)) then
        tmp = t_2
    else if (t <= (-1.8d-136)) then
        tmp = t_1
    else if (t <= (-1.45d-253)) then
        tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
    else if (t <= 1.3d-307) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (t <= 4d-171) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 1.2d-63) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (t <= 2.2d+17) then
        tmp = t_1
    else if ((t <= 2.8d+113) .or. (.not. (t <= 8.5d+273))) then
        tmp = y * (k * ((i * y5) - (b * y4)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * (b - (c * (i / a)))));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -8.5e-73) {
		tmp = t_2;
	} else if (t <= -1.8e-136) {
		tmp = t_1;
	} else if (t <= -1.45e-253) {
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	} else if (t <= 1.3e-307) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (t <= 4e-171) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 1.2e-63) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (t <= 2.2e+17) {
		tmp = t_1;
	} else if ((t <= 2.8e+113) || !(t <= 8.5e+273)) {
		tmp = y * (k * ((i * y5) - (b * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y * (a * (b - (c * (i / a)))))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -8.5e-73:
		tmp = t_2
	elif t <= -1.8e-136:
		tmp = t_1
	elif t <= -1.45e-253:
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)))
	elif t <= 1.3e-307:
		tmp = y * (x * ((a * b) - (c * i)))
	elif t <= 4e-171:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 1.2e-63:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif t <= 2.2e+17:
		tmp = t_1
	elif (t <= 2.8e+113) or not (t <= 8.5e+273):
		tmp = y * (k * ((i * y5) - (b * y4)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(y * Float64(a * Float64(b - Float64(c * Float64(i / a))))))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -8.5e-73)
		tmp = t_2;
	elseif (t <= -1.8e-136)
		tmp = t_1;
	elseif (t <= -1.45e-253)
		tmp = Float64(k * Float64(Float64(Float64(i * Float64(y * y5)) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) - Float64(i * Float64(z * y1))));
	elseif (t <= 1.3e-307)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (t <= 4e-171)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 1.2e-63)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (t <= 2.2e+17)
		tmp = t_1;
	elseif ((t <= 2.8e+113) || !(t <= 8.5e+273))
		tmp = Float64(y * Float64(k * Float64(Float64(i * y5) - Float64(b * y4))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (y * (a * (b - (c * (i / a)))));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -8.5e-73)
		tmp = t_2;
	elseif (t <= -1.8e-136)
		tmp = t_1;
	elseif (t <= -1.45e-253)
		tmp = k * (((i * (y * y5)) + (y2 * ((y1 * y4) - (y0 * y5)))) - (i * (z * y1)));
	elseif (t <= 1.3e-307)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (t <= 4e-171)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 1.2e-63)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (t <= 2.2e+17)
		tmp = t_1;
	elseif ((t <= 2.8e+113) || ~((t <= 8.5e+273)))
		tmp = y * (k * ((i * y5) - (b * y4)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(y * N[(a * N[(b - N[(c * N[(i / a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -8.5e-73], t$95$2, If[LessEqual[t, -1.8e-136], t$95$1, If[LessEqual[t, -1.45e-253], N[(k * N[(N[(N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.3e-307], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4e-171], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.2e-63], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.2e+17], t$95$1, If[Or[LessEqual[t, 2.8e+113], N[Not[LessEqual[t, 8.5e+273]], $MachinePrecision]], N[(y * N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if t < -8.4999999999999996e-73 or 2.79999999999999998e113 < t < 8.5000000000000002e273

   1. Initial program 27.6%

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

   3. Taylor expanded in b around inf 36.5%

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

   4. Taylor expanded in j around inf 55.7%

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

   if -8.4999999999999996e-73 < t < -1.7999999999999999e-136 or 1.2e-63 < t < 2.2e17

   1. Initial program 31.9%

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

   3. Taylor expanded in 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 x around inf 54.9%

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

   5. Taylor expanded in a around inf 60.8%

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

      1. mul-1-neg 60.8%

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

      2. unsub-neg 60.8%

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

      3. associate-/l* 63.6%

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

   7. Simplified 63.6%

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

   if -1.7999999999999999e-136 < t < -1.4499999999999999e-253

   1. Initial program 33.4%

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

   3. Taylor expanded in b around 0 40.5%

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

   4. Taylor expanded in k around inf 50.5%

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

   if -1.4499999999999999e-253 < t < 1.29999999999999998e-307

   1. Initial program 45.1%

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

   3. Taylor expanded in y around inf 56.2%

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

   4. Taylor expanded in x around inf 67.7%

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

   if 1.29999999999999998e-307 < t < 3.9999999999999999e-171

   1. Initial program 38.7%

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

   3. Taylor expanded in j around inf 46.7%

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

   4. Taylor expanded in y0 around inf 55.2%

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

   if 3.9999999999999999e-171 < t < 1.2e-63

   1. Initial program 33.2%

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

   3. Taylor expanded in y around inf 46.0%

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

   4. Taylor expanded in y5 around inf 55.6%

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

   if 2.2e17 < t < 2.79999999999999998e113 or 8.5000000000000002e273 < t

   1. Initial program 40.0%

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

   3. Taylor expanded in y around inf 60.7%

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

   4. Taylor expanded in k around inf 65.9%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 57.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -8.5 \cdot 10^{-73}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-136}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.45 \cdot 10^{-253}:\\ \;\;\;\;k \cdot \left(\left(i \cdot \left(y \cdot y5\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - i \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{-307}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-63}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+17}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{+113} \lor \neg \left(t \leq 8.5 \cdot 10^{+273}\right):\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 28.5% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -1.15 \cdot 10^{-75}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq 6.8 \cdot 10^{-302}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{-164}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-129}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-19}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+119}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (- (* x b) (* y3 y5)))))
        (t_2 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -1.15e-75)
     t_2
     (if (<= t 6.8e-302)
       t_1
       (if (<= t 3.3e-164)
         (* j (* y0 (* y3 y5)))
         (if (<= t 6.6e-129)
           (* j (* y1 (* y3 (- y4))))
           (if (<= t 1.7e-117)
             (* b (* y0 (- (* z k) (* x j))))
             (if (<= t 6e-19)
               t_1
               (if (<= t 2.2e+119)
                 (* b (* y4 (- (* t j) (* y 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 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -1.15e-75) {
		tmp = t_2;
	} else if (t <= 6.8e-302) {
		tmp = t_1;
	} else if (t <= 3.3e-164) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 6.6e-129) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (t <= 1.7e-117) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (t <= 6e-19) {
		tmp = t_1;
	} else if (t <= 2.2e+119) {
		tmp = b * (y4 * ((t * j) - (y * 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) :: tmp
    t_1 = a * (y * ((x * b) - (y3 * y5)))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-1.15d-75)) then
        tmp = t_2
    else if (t <= 6.8d-302) then
        tmp = t_1
    else if (t <= 3.3d-164) then
        tmp = j * (y0 * (y3 * y5))
    else if (t <= 6.6d-129) then
        tmp = j * (y1 * (y3 * -y4))
    else if (t <= 1.7d-117) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (t <= 6d-19) then
        tmp = t_1
    else if (t <= 2.2d+119) then
        tmp = b * (y4 * ((t * j) - (y * 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 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -1.15e-75) {
		tmp = t_2;
	} else if (t <= 6.8e-302) {
		tmp = t_1;
	} else if (t <= 3.3e-164) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 6.6e-129) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (t <= 1.7e-117) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (t <= 6e-19) {
		tmp = t_1;
	} else if (t <= 2.2e+119) {
		tmp = b * (y4 * ((t * j) - (y * 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 = a * (y * ((x * b) - (y3 * y5)))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -1.15e-75:
		tmp = t_2
	elif t <= 6.8e-302:
		tmp = t_1
	elif t <= 3.3e-164:
		tmp = j * (y0 * (y3 * y5))
	elif t <= 6.6e-129:
		tmp = j * (y1 * (y3 * -y4))
	elif t <= 1.7e-117:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif t <= 6e-19:
		tmp = t_1
	elif t <= 2.2e+119:
		tmp = b * (y4 * ((t * j) - (y * 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(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -1.15e-75)
		tmp = t_2;
	elseif (t <= 6.8e-302)
		tmp = t_1;
	elseif (t <= 3.3e-164)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (t <= 6.6e-129)
		tmp = Float64(j * Float64(y1 * Float64(y3 * Float64(-y4))));
	elseif (t <= 1.7e-117)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (t <= 6e-19)
		tmp = t_1;
	elseif (t <= 2.2e+119)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * 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 = a * (y * ((x * b) - (y3 * y5)));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -1.15e-75)
		tmp = t_2;
	elseif (t <= 6.8e-302)
		tmp = t_1;
	elseif (t <= 3.3e-164)
		tmp = j * (y0 * (y3 * y5));
	elseif (t <= 6.6e-129)
		tmp = j * (y1 * (y3 * -y4));
	elseif (t <= 1.7e-117)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (t <= 6e-19)
		tmp = t_1;
	elseif (t <= 2.2e+119)
		tmp = b * (y4 * ((t * j) - (y * 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[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.15e-75], t$95$2, If[LessEqual[t, 6.8e-302], t$95$1, If[LessEqual[t, 3.3e-164], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.6e-129], N[(j * N[(y1 * N[(y3 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.7e-117], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6e-19], t$95$1, If[LessEqual[t, 2.2e+119], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -1.15e-75 or 2.2000000000000001e119 < t

   1. Initial program 28.0%

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

   3. Taylor expanded in b around inf 34.6%

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

   4. Taylor expanded in j around inf 52.8%

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

   if -1.15e-75 < t < 6.8e-302 or 1.70000000000000017e-117 < t < 5.99999999999999985e-19

   1. Initial program 38.1%

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

   3. Taylor expanded in y around inf 44.5%

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

   4. Taylor expanded in a around inf 45.9%

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

   if 6.8e-302 < t < 3.3e-164

   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. Add Preprocessing

   3. Taylor expanded in b around 0 32.6%

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

   4. Taylor expanded in y0 around inf 46.9%

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

   5. Taylor expanded in j around inf 47.2%

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

   if 3.3e-164 < t < 6.59999999999999977e-129

   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. Add Preprocessing

   3. Taylor expanded in y3 around -inf 31.6%

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

   4. Taylor expanded in y4 around inf 50.3%

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

   5. Taylor expanded in j around inf 50.8%

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

   if 6.59999999999999977e-129 < t < 1.70000000000000017e-117

   1. Initial program 16.7%

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

   3. Taylor expanded in b around inf 50.5%

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

   4. Taylor expanded in y0 around inf 66.9%

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

   if 5.99999999999999985e-19 < t < 2.2000000000000001e119

   1. Initial program 38.1%

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

   3. Taylor expanded in b around inf 43.4%

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

   4. Taylor expanded in y4 around inf 53.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 50.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.15 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 6.8 \cdot 10^{-302}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{-164}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-129}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-19}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+119}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 28.7% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -7.2 \cdot 10^{-76}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-302}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-165}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-129}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{+59}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (- (* x b) (* y3 y5)))))
        (t_2 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -7.2e-76)
     t_2
     (if (<= t 5e-302)
       t_1
       (if (<= t 5.5e-165)
         (* j (* y0 (* y3 y5)))
         (if (<= t 6.6e-129)
           (* j (* y1 (* y3 (- y4))))
           (if (<= t 1.2e-115)
             (* b (* y0 (- (* z k) (* x j))))
             (if (<= t 1.55e+59) t_1 t_2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -7.2e-76) {
		tmp = t_2;
	} else if (t <= 5e-302) {
		tmp = t_1;
	} else if (t <= 5.5e-165) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 6.6e-129) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (t <= 1.2e-115) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (t <= 1.55e+59) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * (y * ((x * b) - (y3 * y5)))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-7.2d-76)) then
        tmp = t_2
    else if (t <= 5d-302) then
        tmp = t_1
    else if (t <= 5.5d-165) then
        tmp = j * (y0 * (y3 * y5))
    else if (t <= 6.6d-129) then
        tmp = j * (y1 * (y3 * -y4))
    else if (t <= 1.2d-115) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (t <= 1.55d+59) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -7.2e-76) {
		tmp = t_2;
	} else if (t <= 5e-302) {
		tmp = t_1;
	} else if (t <= 5.5e-165) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 6.6e-129) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (t <= 1.2e-115) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (t <= 1.55e+59) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y * ((x * b) - (y3 * y5)))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -7.2e-76:
		tmp = t_2
	elif t <= 5e-302:
		tmp = t_1
	elif t <= 5.5e-165:
		tmp = j * (y0 * (y3 * y5))
	elif t <= 6.6e-129:
		tmp = j * (y1 * (y3 * -y4))
	elif t <= 1.2e-115:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif t <= 1.55e+59:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -7.2e-76)
		tmp = t_2;
	elseif (t <= 5e-302)
		tmp = t_1;
	elseif (t <= 5.5e-165)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (t <= 6.6e-129)
		tmp = Float64(j * Float64(y1 * Float64(y3 * Float64(-y4))));
	elseif (t <= 1.2e-115)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (t <= 1.55e+59)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y * ((x * b) - (y3 * y5)));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -7.2e-76)
		tmp = t_2;
	elseif (t <= 5e-302)
		tmp = t_1;
	elseif (t <= 5.5e-165)
		tmp = j * (y0 * (y3 * y5));
	elseif (t <= 6.6e-129)
		tmp = j * (y1 * (y3 * -y4));
	elseif (t <= 1.2e-115)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (t <= 1.55e+59)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -7.2e-76], t$95$2, If[LessEqual[t, 5e-302], t$95$1, If[LessEqual[t, 5.5e-165], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.6e-129], N[(j * N[(y1 * N[(y3 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.2e-115], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.55e+59], t$95$1, t$95$2]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -7.2000000000000001e-76 or 1.55000000000000007e59 < t

   1. Initial program 29.3%

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

   3. Taylor expanded in b around inf 35.3%

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

   4. Taylor expanded in j around inf 50.9%

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

   if -7.2000000000000001e-76 < t < 5.00000000000000033e-302 or 1.20000000000000011e-115 < t < 1.55000000000000007e59

   1. Initial program 37.6%

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

   3. Taylor expanded in y around inf 47.8%

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

   4. Taylor expanded in a around inf 44.6%

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

   if 5.00000000000000033e-302 < t < 5.49999999999999969e-165

   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. Add Preprocessing

   3. Taylor expanded in b around 0 32.6%

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

   4. Taylor expanded in y0 around inf 46.9%

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

   5. Taylor expanded in j around inf 47.2%

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

   if 5.49999999999999969e-165 < t < 6.59999999999999977e-129

   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. Add Preprocessing

   3. Taylor expanded in y3 around -inf 31.6%

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

   4. Taylor expanded in y4 around inf 50.3%

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

   5. Taylor expanded in j around inf 50.8%

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

   if 6.59999999999999977e-129 < t < 1.20000000000000011e-115

   1. Initial program 16.7%

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

   3. Taylor expanded in b around inf 50.5%

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

   4. Taylor expanded in y0 around inf 66.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 48.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7.2 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-302}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-165}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-129}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{+59}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 29.9% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -3.2 \cdot 10^{-73}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -9.8 \cdot 10^{-203}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq -5.6 \cdot 10^{-256}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 2.4 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{+134}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -3.2e-73)
     t_1
     (if (<= t -9.8e-203)
       (* x (* y (* a (- b (* c (/ i a))))))
       (if (<= t -5.6e-256)
         (* k (* y5 (- (* y i) (* y0 y2))))
         (if (<= t 2.4e-304)
           (* y (* x (- (* a b) (* c i))))
           (if (<= t 9.8e-172)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= t 4.8e+134) (* y (* y5 (- (* i k) (* a y3)))) t_1))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -3.2e-73) {
		tmp = t_1;
	} else if (t <= -9.8e-203) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= -5.6e-256) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (t <= 2.4e-304) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (t <= 9.8e-172) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 4.8e+134) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-3.2d-73)) then
        tmp = t_1
    else if (t <= (-9.8d-203)) then
        tmp = x * (y * (a * (b - (c * (i / a)))))
    else if (t <= (-5.6d-256)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (t <= 2.4d-304) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (t <= 9.8d-172) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 4.8d+134) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -3.2e-73) {
		tmp = t_1;
	} else if (t <= -9.8e-203) {
		tmp = x * (y * (a * (b - (c * (i / a)))));
	} else if (t <= -5.6e-256) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (t <= 2.4e-304) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (t <= 9.8e-172) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 4.8e+134) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -3.2e-73:
		tmp = t_1
	elif t <= -9.8e-203:
		tmp = x * (y * (a * (b - (c * (i / a)))))
	elif t <= -5.6e-256:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif t <= 2.4e-304:
		tmp = y * (x * ((a * b) - (c * i)))
	elif t <= 9.8e-172:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 4.8e+134:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -3.2e-73)
		tmp = t_1;
	elseif (t <= -9.8e-203)
		tmp = Float64(x * Float64(y * Float64(a * Float64(b - Float64(c * Float64(i / a))))));
	elseif (t <= -5.6e-256)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (t <= 2.4e-304)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (t <= 9.8e-172)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 4.8e+134)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -3.2e-73)
		tmp = t_1;
	elseif (t <= -9.8e-203)
		tmp = x * (y * (a * (b - (c * (i / a)))));
	elseif (t <= -5.6e-256)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (t <= 2.4e-304)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (t <= 9.8e-172)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 4.8e+134)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -3.2e-73], t$95$1, If[LessEqual[t, -9.8e-203], N[(x * N[(y * N[(a * N[(b - N[(c * N[(i / a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -5.6e-256], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.4e-304], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 9.8e-172], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4.8e+134], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -3.19999999999999986e-73 or 4.80000000000000011e134 < t

   1. Initial program 29.2%

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

   3. Taylor expanded in b around inf 34.3%

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

   4. Taylor expanded in j around inf 54.2%

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

   if -3.19999999999999986e-73 < t < -9.7999999999999999e-203

   1. Initial program 25.0%

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

   3. Taylor expanded in y around inf 35.4%

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

   4. Taylor expanded in x around inf 42.6%

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

   5. Taylor expanded in a around inf 46.2%

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

      1. mul-1-neg 46.2%

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

      2. unsub-neg 46.2%

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

      3. associate-/l* 49.7%

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

   7. Simplified 49.7%

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

   if -9.7999999999999999e-203 < t < -5.60000000000000046e-256

   1. Initial program 41.3%

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

   3. Taylor expanded in y5 around -inf 60.9%

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

   4. Taylor expanded in k around inf 60.8%

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

      1. +-commutative 60.8%

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

      2. mul-1-neg 60.8%

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

      3. unsub-neg 60.8%

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

      4. *-commutative 60.8%

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

   6. Simplified 60.8%

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

   if -5.60000000000000046e-256 < t < 2.4000000000000001e-304

   1. Initial program 45.1%

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

   3. Taylor expanded in y around inf 56.2%

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

   4. Taylor expanded in x around inf 67.7%

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

   if 2.4000000000000001e-304 < t < 9.8000000000000001e-172

   1. Initial program 38.7%

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

   3. Taylor expanded in j around inf 46.7%

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

   4. Taylor expanded in y0 around inf 55.2%

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

   if 9.8000000000000001e-172 < t < 4.80000000000000011e134

   1. Initial program 33.8%

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

   3. Taylor expanded in y around inf 49.9%

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

   4. Taylor expanded in y5 around inf 49.0%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 53.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -3.2 \cdot 10^{-73}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -9.8 \cdot 10^{-203}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot \left(b - c \cdot \frac{i}{a}\right)\right)\right)\\ \mathbf{elif}\;t \leq -5.6 \cdot 10^{-256}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 2.4 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{+134}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 21.7% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(c \cdot \left(y3 \cdot y4\right)\right)\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;y4 \leq -3.9 \cdot 10^{+90}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -7.6 \cdot 10^{-136}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-232}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.7 \cdot 10^{-238}:\\ \;\;\;\;c \cdot \left(\left(z \cdot y3\right) \cdot \left(-y0\right)\right)\\ \mathbf{elif}\;y4 \leq 4.3 \cdot 10^{-125}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 7.5 \cdot 10^{+189}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* c (* y3 y4)))) (t_2 (* a (* y (* x b)))))
   (if (<= y4 -3.9e+90)
     t_1
     (if (<= y4 -7.6e-136)
       t_2
       (if (<= y4 -2.15e-232)
         (* j (* y0 (* y3 y5)))
         (if (<= y4 1.7e-238)
           (* c (* (* z y3) (- y0)))
           (if (<= y4 4.3e-125)
             (* k (* y0 (* y2 (- y5))))
             (if (<= y4 7.5e+189) 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 = y * (c * (y3 * y4));
	double t_2 = a * (y * (x * b));
	double tmp;
	if (y4 <= -3.9e+90) {
		tmp = t_1;
	} else if (y4 <= -7.6e-136) {
		tmp = t_2;
	} else if (y4 <= -2.15e-232) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 1.7e-238) {
		tmp = c * ((z * y3) * -y0);
	} else if (y4 <= 4.3e-125) {
		tmp = k * (y0 * (y2 * -y5));
	} else if (y4 <= 7.5e+189) {
		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 = y * (c * (y3 * y4))
    t_2 = a * (y * (x * b))
    if (y4 <= (-3.9d+90)) then
        tmp = t_1
    else if (y4 <= (-7.6d-136)) then
        tmp = t_2
    else if (y4 <= (-2.15d-232)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y4 <= 1.7d-238) then
        tmp = c * ((z * y3) * -y0)
    else if (y4 <= 4.3d-125) then
        tmp = k * (y0 * (y2 * -y5))
    else if (y4 <= 7.5d+189) 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 = y * (c * (y3 * y4));
	double t_2 = a * (y * (x * b));
	double tmp;
	if (y4 <= -3.9e+90) {
		tmp = t_1;
	} else if (y4 <= -7.6e-136) {
		tmp = t_2;
	} else if (y4 <= -2.15e-232) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 1.7e-238) {
		tmp = c * ((z * y3) * -y0);
	} else if (y4 <= 4.3e-125) {
		tmp = k * (y0 * (y2 * -y5));
	} else if (y4 <= 7.5e+189) {
		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 = y * (c * (y3 * y4))
	t_2 = a * (y * (x * b))
	tmp = 0
	if y4 <= -3.9e+90:
		tmp = t_1
	elif y4 <= -7.6e-136:
		tmp = t_2
	elif y4 <= -2.15e-232:
		tmp = j * (y0 * (y3 * y5))
	elif y4 <= 1.7e-238:
		tmp = c * ((z * y3) * -y0)
	elif y4 <= 4.3e-125:
		tmp = k * (y0 * (y2 * -y5))
	elif y4 <= 7.5e+189:
		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(y * Float64(c * Float64(y3 * y4)))
	t_2 = Float64(a * Float64(y * Float64(x * b)))
	tmp = 0.0
	if (y4 <= -3.9e+90)
		tmp = t_1;
	elseif (y4 <= -7.6e-136)
		tmp = t_2;
	elseif (y4 <= -2.15e-232)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y4 <= 1.7e-238)
		tmp = Float64(c * Float64(Float64(z * y3) * Float64(-y0)));
	elseif (y4 <= 4.3e-125)
		tmp = Float64(k * Float64(y0 * Float64(y2 * Float64(-y5))));
	elseif (y4 <= 7.5e+189)
		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 = y * (c * (y3 * y4));
	t_2 = a * (y * (x * b));
	tmp = 0.0;
	if (y4 <= -3.9e+90)
		tmp = t_1;
	elseif (y4 <= -7.6e-136)
		tmp = t_2;
	elseif (y4 <= -2.15e-232)
		tmp = j * (y0 * (y3 * y5));
	elseif (y4 <= 1.7e-238)
		tmp = c * ((z * y3) * -y0);
	elseif (y4 <= 4.3e-125)
		tmp = k * (y0 * (y2 * -y5));
	elseif (y4 <= 7.5e+189)
		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[(y * N[(c * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -3.9e+90], t$95$1, If[LessEqual[y4, -7.6e-136], t$95$2, If[LessEqual[y4, -2.15e-232], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.7e-238], N[(c * N[(N[(z * y3), $MachinePrecision] * (-y0)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.3e-125], N[(k * N[(y0 * N[(y2 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7.5e+189], t$95$2, t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y4 < -3.9000000000000002e90 or 7.49999999999999955e189 < y4

   1. Initial program 27.6%

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

   3. Taylor expanded in y around inf 38.0%

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

   4. Taylor expanded in c around -inf 42.3%

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

      1. mul-1-neg 42.3%

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

   6. Simplified 42.3%

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

   7. Taylor expanded in i around 0 40.0%

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

      1. mul-1-neg 40.0%

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

      2. *-commutative 40.0%

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

      3. distribute-rgt-neg-in 40.0%

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

   9. Simplified 40.0%

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

   if -3.9000000000000002e90 < y4 < -7.6000000000000005e-136 or 4.3000000000000002e-125 < y4 < 7.49999999999999955e189

   1. Initial program 34.5%

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

   3. Taylor expanded in b around inf 39.4%

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

   4. Taylor expanded in a around inf 30.7%

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

   5. Taylor expanded in x around inf 31.0%

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

      1. associate-*r* 34.5%

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

   7. Simplified 34.5%

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

   if -7.6000000000000005e-136 < y4 < -2.1499999999999998e-232

   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. Add Preprocessing

   3. Taylor expanded in b around 0 33.9%

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

   4. Taylor expanded in y0 around inf 54.3%

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

   5. Taylor expanded in j around inf 41.3%

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

   if -2.1499999999999998e-232 < y4 < 1.69999999999999992e-238

   1. Initial program 33.2%

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

   3. Taylor expanded in b around 0 40.7%

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

   4. Taylor expanded in y0 around inf 45.8%

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

   5. Taylor expanded in z around inf 41.8%

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

      1. mul-1-neg 41.8%

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

      2. *-commutative 41.8%

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

      3. distribute-rgt-neg-in 41.8%

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

   7. Simplified 41.8%

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

   if 1.69999999999999992e-238 < y4 < 4.3000000000000002e-125

   1. Initial program 30.9%

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

   3. Taylor expanded in b around 0 31.2%

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

   4. Taylor expanded in y0 around inf 23.8%

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

   5. Taylor expanded in k around inf 32.0%

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

      1. mul-1-neg 32.0%

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

      2. distribute-rgt-neg-in 32.0%

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

      3. *-commutative 32.0%

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

      4. distribute-rgt-neg-in 32.0%

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

   7. Simplified 32.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-y0\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 37.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -3.9 \cdot 10^{+90}:\\ \;\;\;\;y \cdot \left(c \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7.6 \cdot 10^{-136}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-232}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.7 \cdot 10^{-238}:\\ \;\;\;\;c \cdot \left(\left(z \cdot y3\right) \cdot \left(-y0\right)\right)\\ \mathbf{elif}\;y4 \leq 4.3 \cdot 10^{-125}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 7.5 \cdot 10^{+189}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(c \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 29.4% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -2.5 \cdot 10^{+25}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-148}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{-128}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;t \leq 3.7 \cdot 10^{-19}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{+115}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -2.5e+25)
     t_1
     (if (<= t 9.2e-148)
       (* j (* y0 (- (* y3 y5) (* x b))))
       (if (<= t 1.95e-128)
         (* j (* y1 (* y3 (- y4))))
         (if (<= t 3.7e-19)
           (* a (* y (- (* x b) (* y3 y5))))
           (if (<= t 1.95e+115) (* b (* y4 (- (* t j) (* y k)))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -2.5e+25) {
		tmp = t_1;
	} else if (t <= 9.2e-148) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 1.95e-128) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (t <= 3.7e-19) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (t <= 1.95e+115) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-2.5d+25)) then
        tmp = t_1
    else if (t <= 9.2d-148) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 1.95d-128) then
        tmp = j * (y1 * (y3 * -y4))
    else if (t <= 3.7d-19) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (t <= 1.95d+115) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -2.5e+25) {
		tmp = t_1;
	} else if (t <= 9.2e-148) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 1.95e-128) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (t <= 3.7e-19) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (t <= 1.95e+115) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -2.5e+25:
		tmp = t_1
	elif t <= 9.2e-148:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 1.95e-128:
		tmp = j * (y1 * (y3 * -y4))
	elif t <= 3.7e-19:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif t <= 1.95e+115:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -2.5e+25)
		tmp = t_1;
	elseif (t <= 9.2e-148)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 1.95e-128)
		tmp = Float64(j * Float64(y1 * Float64(y3 * Float64(-y4))));
	elseif (t <= 3.7e-19)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (t <= 1.95e+115)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -2.5e+25)
		tmp = t_1;
	elseif (t <= 9.2e-148)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 1.95e-128)
		tmp = j * (y1 * (y3 * -y4));
	elseif (t <= 3.7e-19)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (t <= 1.95e+115)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.5e+25], t$95$1, If[LessEqual[t, 9.2e-148], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.95e-128], N[(j * N[(y1 * N[(y3 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.7e-19], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.95e+115], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -2.50000000000000012e25 or 1.95000000000000003e115 < t

   1. Initial program 29.1%

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

   3. Taylor expanded in b around inf 34.7%

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

   4. Taylor expanded in j around inf 54.7%

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

   if -2.50000000000000012e25 < t < 9.1999999999999999e-148

   1. Initial program 31.6%

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

   3. Taylor expanded in j around inf 36.8%

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

   4. Taylor expanded in y0 around inf 42.3%

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

   if 9.1999999999999999e-148 < t < 1.94999999999999998e-128

   1. Initial program 33.3%

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

   3. Taylor expanded in y3 around -inf 50.5%

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

   4. Taylor expanded in y4 around inf 83.9%

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

   5. Taylor expanded in j around inf 83.6%

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

   if 1.94999999999999998e-128 < t < 3.70000000000000005e-19

   1. Initial program 39.5%

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

   3. Taylor expanded in y around inf 48.8%

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

   4. Taylor expanded in a around inf 43.3%

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

   if 3.70000000000000005e-19 < t < 1.95000000000000003e115

   1. Initial program 38.1%

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

   3. Taylor expanded in b around inf 43.4%

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

   4. Taylor expanded in y4 around inf 53.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 48.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.5 \cdot 10^{+25}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-148}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{-128}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;t \leq 3.7 \cdot 10^{-19}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{+115}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 29.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{if}\;t \leq -3.6 \cdot 10^{+23}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 3.7 \cdot 10^{+134}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq 8 \cdot 10^{+270}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{+307}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0)))))
        (t_2 (* y (* y5 (- (* i k) (* a y3))))))
   (if (<= t -3.6e+23)
     t_1
     (if (<= t 1.45e-171)
       (* j (* y0 (- (* y3 y5) (* x b))))
       (if (<= t 3.7e+134)
         t_2
         (if (<= t 8e+270)
           t_1
           (if (<= t 4.2e+307) t_2 (* k (* 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 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = y * (y5 * ((i * k) - (a * y3)));
	double tmp;
	if (t <= -3.6e+23) {
		tmp = t_1;
	} else if (t <= 1.45e-171) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 3.7e+134) {
		tmp = t_2;
	} else if (t <= 8e+270) {
		tmp = t_1;
	} else if (t <= 4.2e+307) {
		tmp = t_2;
	} else {
		tmp = k * (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) :: t_2
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    t_2 = y * (y5 * ((i * k) - (a * y3)))
    if (t <= (-3.6d+23)) then
        tmp = t_1
    else if (t <= 1.45d-171) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 3.7d+134) then
        tmp = t_2
    else if (t <= 8d+270) then
        tmp = t_1
    else if (t <= 4.2d+307) then
        tmp = t_2
    else
        tmp = k * (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 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = y * (y5 * ((i * k) - (a * y3)));
	double tmp;
	if (t <= -3.6e+23) {
		tmp = t_1;
	} else if (t <= 1.45e-171) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 3.7e+134) {
		tmp = t_2;
	} else if (t <= 8e+270) {
		tmp = t_1;
	} else if (t <= 4.2e+307) {
		tmp = t_2;
	} else {
		tmp = k * (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 = b * (j * ((t * y4) - (x * y0)))
	t_2 = y * (y5 * ((i * k) - (a * y3)))
	tmp = 0
	if t <= -3.6e+23:
		tmp = t_1
	elif t <= 1.45e-171:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 3.7e+134:
		tmp = t_2
	elif t <= 8e+270:
		tmp = t_1
	elif t <= 4.2e+307:
		tmp = t_2
	else:
		tmp = k * (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(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	t_2 = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))))
	tmp = 0.0
	if (t <= -3.6e+23)
		tmp = t_1;
	elseif (t <= 1.45e-171)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 3.7e+134)
		tmp = t_2;
	elseif (t <= 8e+270)
		tmp = t_1;
	elseif (t <= 4.2e+307)
		tmp = t_2;
	else
		tmp = Float64(k * Float64(y0 * Float64(y2 * Float64(-y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	t_2 = y * (y5 * ((i * k) - (a * y3)));
	tmp = 0.0;
	if (t <= -3.6e+23)
		tmp = t_1;
	elseif (t <= 1.45e-171)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 3.7e+134)
		tmp = t_2;
	elseif (t <= 8e+270)
		tmp = t_1;
	elseif (t <= 4.2e+307)
		tmp = t_2;
	else
		tmp = k * (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[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -3.6e+23], t$95$1, If[LessEqual[t, 1.45e-171], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.7e+134], t$95$2, If[LessEqual[t, 8e+270], t$95$1, If[LessEqual[t, 4.2e+307], t$95$2, N[(k * N[(y0 * N[(y2 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if t < -3.5999999999999998e23 or 3.70000000000000013e134 < t < 8.0000000000000004e270

   1. Initial program 29.4%

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

   3. Taylor expanded in b around inf 35.6%

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

   4. Taylor expanded in j around inf 59.2%

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

   if -3.5999999999999998e23 < t < 1.4499999999999999e-171

   1. Initial program 32.9%

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

   3. Taylor expanded in j around inf 39.5%

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

   4. Taylor expanded in y0 around inf 43.3%

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

   if 1.4499999999999999e-171 < t < 3.70000000000000013e134 or 8.0000000000000004e270 < t < 4.2000000000000002e307

   1. Initial program 33.8%

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

   3. Taylor expanded in y around inf 52.5%

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

   4. Taylor expanded in y5 around inf 51.7%

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

   if 4.2000000000000002e307 < t

   1. Initial program 100.0%

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

   3. Taylor expanded in b around 0 100.0%

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

   4. Taylor expanded in y0 around inf 4.1%

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

   5. Taylor expanded in k around inf 4.1%

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

      1. mul-1-neg 4.1%

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

      2. distribute-rgt-neg-in 4.1%

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

      3. *-commutative 4.1%

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

      4. distribute-rgt-neg-in 4.1%

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

   7. Simplified 4.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-y0\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 51.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -3.6 \cdot 10^{+23}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 3.7 \cdot 10^{+134}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 8 \cdot 10^{+270}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{+307}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 29.5% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -6.6 \cdot 10^{-76}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-194}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-257}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 9 \cdot 10^{+134}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -6.6e-76)
     t_1
     (if (<= t -2.55e-194)
       (* a (* y (- (* x b) (* y3 y5))))
       (if (<= t -5.5e-257)
         (* k (* y5 (- (* y i) (* y0 y2))))
         (if (<= t 2.15e-172)
           (* j (* y0 (- (* y3 y5) (* x b))))
           (if (<= t 9e+134) (* y (* y5 (- (* i k) (* a y3)))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -6.6e-76) {
		tmp = t_1;
	} else if (t <= -2.55e-194) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (t <= -5.5e-257) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (t <= 2.15e-172) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 9e+134) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-6.6d-76)) then
        tmp = t_1
    else if (t <= (-2.55d-194)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (t <= (-5.5d-257)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (t <= 2.15d-172) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (t <= 9d+134) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -6.6e-76) {
		tmp = t_1;
	} else if (t <= -2.55e-194) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (t <= -5.5e-257) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (t <= 2.15e-172) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (t <= 9e+134) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -6.6e-76:
		tmp = t_1
	elif t <= -2.55e-194:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif t <= -5.5e-257:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif t <= 2.15e-172:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif t <= 9e+134:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -6.6e-76)
		tmp = t_1;
	elseif (t <= -2.55e-194)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (t <= -5.5e-257)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (t <= 2.15e-172)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (t <= 9e+134)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -6.6e-76)
		tmp = t_1;
	elseif (t <= -2.55e-194)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (t <= -5.5e-257)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (t <= 2.15e-172)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (t <= 9e+134)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -6.6e-76], t$95$1, If[LessEqual[t, -2.55e-194], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -5.5e-257], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.15e-172], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 9e+134], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -6.59999999999999967e-76 or 8.9999999999999995e134 < t

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 34.0%

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

   4. Taylor expanded in j around inf 53.7%

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

   if -6.59999999999999967e-76 < t < -2.5499999999999999e-194

   1. Initial program 23.7%

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

   3. Taylor expanded in y around inf 39.4%

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

   4. Taylor expanded in a around inf 54.6%

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

   if -2.5499999999999999e-194 < t < -5.50000000000000025e-257

   1. Initial program 45.6%

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

   3. Taylor expanded in y5 around -inf 56.3%

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

   4. Taylor expanded in k around inf 56.4%

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

      1. +-commutative 56.4%

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

      2. mul-1-neg 56.4%

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

      3. unsub-neg 56.4%

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

      4. *-commutative 56.4%

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

   6. Simplified 56.4%

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

   if -5.50000000000000025e-257 < t < 2.1499999999999999e-172

   1. Initial program 38.6%

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

   3. Taylor expanded in j around inf 41.8%

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

   4. Taylor expanded in y0 around inf 48.5%

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

   if 2.1499999999999999e-172 < t < 8.9999999999999995e134

   1. Initial program 33.8%

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

   3. Taylor expanded in y around inf 49.9%

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

   4. Taylor expanded in y5 around inf 49.0%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 52.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -6.6 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-194}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-257}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 9 \cdot 10^{+134}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 27.6% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;y5 \leq -2.55 \cdot 10^{+70}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.46 \cdot 10^{-272}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{-94}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 7.6 \cdot 10^{+80}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t))))))
   (if (<= y5 -2.55e+70)
     (* y0 (* j (* y3 y5)))
     (if (<= y5 1.46e-272)
       t_1
       (if (<= y5 9.2e-94)
         (* c (* x (* y0 y2)))
         (if (<= y5 7.6e+80) t_1 (* y3 (* j (* y0 y5)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y5 <= -2.55e+70) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= 1.46e-272) {
		tmp = t_1;
	} else if (y5 <= 9.2e-94) {
		tmp = c * (x * (y0 * y2));
	} else if (y5 <= 7.6e+80) {
		tmp = t_1;
	} else {
		tmp = y3 * (j * (y0 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * ((x * y) - (z * t)))
    if (y5 <= (-2.55d+70)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y5 <= 1.46d-272) then
        tmp = t_1
    else if (y5 <= 9.2d-94) then
        tmp = c * (x * (y0 * y2))
    else if (y5 <= 7.6d+80) then
        tmp = t_1
    else
        tmp = y3 * (j * (y0 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y5 <= -2.55e+70) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= 1.46e-272) {
		tmp = t_1;
	} else if (y5 <= 9.2e-94) {
		tmp = c * (x * (y0 * y2));
	} else if (y5 <= 7.6e+80) {
		tmp = t_1;
	} else {
		tmp = y3 * (j * (y0 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if y5 <= -2.55e+70:
		tmp = y0 * (j * (y3 * y5))
	elif y5 <= 1.46e-272:
		tmp = t_1
	elif y5 <= 9.2e-94:
		tmp = c * (x * (y0 * y2))
	elif y5 <= 7.6e+80:
		tmp = t_1
	else:
		tmp = y3 * (j * (y0 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (y5 <= -2.55e+70)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y5 <= 1.46e-272)
		tmp = t_1;
	elseif (y5 <= 9.2e-94)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y5 <= 7.6e+80)
		tmp = t_1;
	else
		tmp = Float64(y3 * Float64(j * Float64(y0 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (y5 <= -2.55e+70)
		tmp = y0 * (j * (y3 * y5));
	elseif (y5 <= 1.46e-272)
		tmp = t_1;
	elseif (y5 <= 9.2e-94)
		tmp = c * (x * (y0 * y2));
	elseif (y5 <= 7.6e+80)
		tmp = t_1;
	else
		tmp = y3 * (j * (y0 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.55e+70], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.46e-272], t$95$1, If[LessEqual[y5, 9.2e-94], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.6e+80], t$95$1, N[(y3 * N[(j * N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -2.55000000000000007e70

   1. Initial program 38.1%

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

   3. Taylor expanded in b around 0 38.1%

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

   4. Taylor expanded in y0 around inf 41.0%

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

   5. Taylor expanded in j around inf 36.6%

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

   if -2.55000000000000007e70 < y5 < 1.45999999999999997e-272 or 9.1999999999999997e-94 < y5 < 7.59999999999999995e80

   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. Add Preprocessing

   3. Taylor expanded in b around inf 41.2%

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

   4. Taylor expanded in a around inf 37.4%

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

   if 1.45999999999999997e-272 < y5 < 9.1999999999999997e-94

   1. Initial program 35.5%

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

   3. Taylor expanded in b around 0 24.8%

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

   4. Taylor expanded in y0 around inf 36.4%

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

   5. Taylor expanded in x around inf 33.9%

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

   if 7.59999999999999995e80 < y5

   1. Initial program 14.9%

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

   3. Taylor expanded in y3 around -inf 40.1%

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

   4. Taylor expanded in y5 around -inf 48.8%

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

      1. mul-1-neg 48.8%

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

   6. Simplified 48.8%

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

   7. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

   9. Simplified 53.1%

      \[\leadsto -1 \cdot \left(-y3 \cdot \color{blue}{\left(j \cdot \left(y5 \cdot y0\right)\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 39.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.55 \cdot 10^{+70}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.46 \cdot 10^{-272}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{-94}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 7.6 \cdot 10^{+80}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 28.1% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;y5 \leq -1.25 \cdot 10^{+33}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.12 \cdot 10^{-274}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{-94}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 6.8 \cdot 10^{+80}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t))))))
   (if (<= y5 -1.25e+33)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= y5 1.12e-274)
       t_1
       (if (<= y5 8.6e-94)
         (* c (* x (* y0 y2)))
         (if (<= y5 6.8e+80) t_1 (* y3 (* j (* y0 y5)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y5 <= -1.25e+33) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (y5 <= 1.12e-274) {
		tmp = t_1;
	} else if (y5 <= 8.6e-94) {
		tmp = c * (x * (y0 * y2));
	} else if (y5 <= 6.8e+80) {
		tmp = t_1;
	} else {
		tmp = y3 * (j * (y0 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * ((x * y) - (z * t)))
    if (y5 <= (-1.25d+33)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (y5 <= 1.12d-274) then
        tmp = t_1
    else if (y5 <= 8.6d-94) then
        tmp = c * (x * (y0 * y2))
    else if (y5 <= 6.8d+80) then
        tmp = t_1
    else
        tmp = y3 * (j * (y0 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y5 <= -1.25e+33) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (y5 <= 1.12e-274) {
		tmp = t_1;
	} else if (y5 <= 8.6e-94) {
		tmp = c * (x * (y0 * y2));
	} else if (y5 <= 6.8e+80) {
		tmp = t_1;
	} else {
		tmp = y3 * (j * (y0 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if y5 <= -1.25e+33:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif y5 <= 1.12e-274:
		tmp = t_1
	elif y5 <= 8.6e-94:
		tmp = c * (x * (y0 * y2))
	elif y5 <= 6.8e+80:
		tmp = t_1
	else:
		tmp = y3 * (j * (y0 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (y5 <= -1.25e+33)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (y5 <= 1.12e-274)
		tmp = t_1;
	elseif (y5 <= 8.6e-94)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y5 <= 6.8e+80)
		tmp = t_1;
	else
		tmp = Float64(y3 * Float64(j * Float64(y0 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (y5 <= -1.25e+33)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (y5 <= 1.12e-274)
		tmp = t_1;
	elseif (y5 <= 8.6e-94)
		tmp = c * (x * (y0 * y2));
	elseif (y5 <= 6.8e+80)
		tmp = t_1;
	else
		tmp = y3 * (j * (y0 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.25e+33], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.12e-274], t$95$1, If[LessEqual[y5, 8.6e-94], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 6.8e+80], t$95$1, N[(y3 * N[(j * N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -1.24999999999999993e33

   1. Initial program 37.3%

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

   3. Taylor expanded in y around inf 46.9%

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

   4. Taylor expanded in a around inf 47.0%

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

   if -1.24999999999999993e33 < y5 < 1.11999999999999998e-274 or 8.5999999999999997e-94 < y5 < 6.79999999999999984e80

   1. Initial program 36.3%

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

   3. Taylor expanded in b around inf 41.2%

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

   4. Taylor expanded in a around inf 37.1%

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

   if 1.11999999999999998e-274 < y5 < 8.5999999999999997e-94

   1. Initial program 34.6%

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

   3. Taylor expanded in b around 0 24.2%

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

   4. Taylor expanded in y0 around inf 35.4%

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

   5. Taylor expanded in x around inf 33.0%

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

   if 6.79999999999999984e80 < y5

   1. Initial program 14.9%

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

   3. Taylor expanded in y3 around -inf 40.1%

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

   4. Taylor expanded in y5 around -inf 48.8%

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

      1. mul-1-neg 48.8%

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

   6. Simplified 48.8%

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

   7. Taylor expanded in j around inf 53.1%

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

      1. *-commutative 53.1%

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

   9. Simplified 53.1%

      \[\leadsto -1 \cdot \left(-y3 \cdot \color{blue}{\left(j \cdot \left(y5 \cdot y0\right)\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.25 \cdot 10^{+33}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.12 \cdot 10^{-274}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{-94}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 6.8 \cdot 10^{+80}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 28.8% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -1.02 \cdot 10^{-75}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{-306}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-166}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+61}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (- (* x b) (* y3 y5)))))
        (t_2 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= t -1.02e-75)
     t_2
     (if (<= t 2.6e-306)
       t_1
       (if (<= t 7e-166)
         (* j (* y0 (* y3 y5)))
         (if (<= t 6.2e+61) t_1 t_2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -1.02e-75) {
		tmp = t_2;
	} else if (t <= 2.6e-306) {
		tmp = t_1;
	} else if (t <= 7e-166) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 6.2e+61) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * (y * ((x * b) - (y3 * y5)))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    if (t <= (-1.02d-75)) then
        tmp = t_2
    else if (t <= 2.6d-306) then
        tmp = t_1
    else if (t <= 7d-166) then
        tmp = j * (y0 * (y3 * y5))
    else if (t <= 6.2d+61) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (t <= -1.02e-75) {
		tmp = t_2;
	} else if (t <= 2.6e-306) {
		tmp = t_1;
	} else if (t <= 7e-166) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 6.2e+61) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y * ((x * b) - (y3 * y5)))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if t <= -1.02e-75:
		tmp = t_2
	elif t <= 2.6e-306:
		tmp = t_1
	elif t <= 7e-166:
		tmp = j * (y0 * (y3 * y5))
	elif t <= 6.2e+61:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (t <= -1.02e-75)
		tmp = t_2;
	elseif (t <= 2.6e-306)
		tmp = t_1;
	elseif (t <= 7e-166)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (t <= 6.2e+61)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y * ((x * b) - (y3 * y5)));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (t <= -1.02e-75)
		tmp = t_2;
	elseif (t <= 2.6e-306)
		tmp = t_1;
	elseif (t <= 7e-166)
		tmp = j * (y0 * (y3 * y5));
	elseif (t <= 6.2e+61)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.02e-75], t$95$2, If[LessEqual[t, 2.6e-306], t$95$1, If[LessEqual[t, 7e-166], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.2e+61], t$95$1, t$95$2]]]]]]

Derivation

1. Split input into 3 regimes

2. if t < -1.01999999999999997e-75 or 6.1999999999999998e61 < t

   1. Initial program 29.3%

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

   3. Taylor expanded in b around inf 35.3%

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

   4. Taylor expanded in j around inf 50.9%

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

   if -1.01999999999999997e-75 < t < 2.6e-306 or 6.9999999999999998e-166 < t < 6.1999999999999998e61

   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. Add Preprocessing

   3. Taylor expanded in y around inf 46.4%

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

   4. Taylor expanded in a around inf 41.8%

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

   if 2.6e-306 < t < 6.9999999999999998e-166

   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. Add Preprocessing

   3. Taylor expanded in b around 0 32.6%

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

   4. Taylor expanded in y0 around inf 46.9%

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

   5. Taylor expanded in j around inf 47.2%

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

4. Final simplification 46.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.02 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{-306}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-166}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+61}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 21.7% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;y4 \leq -1.06 \cdot 10^{+97}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -7.6 \cdot 10^{-133}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 9.2 \cdot 10^{-127}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 4.4 \cdot 10^{+169}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y (* y3 y4)))) (t_2 (* a (* y (* x b)))))
   (if (<= y4 -1.06e+97)
     t_1
     (if (<= y4 -7.6e-133)
       t_2
       (if (<= y4 9.2e-127)
         (* j (* y0 (* y3 y5)))
         (if (<= y4 4.4e+169) 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 = c * (y * (y3 * y4));
	double t_2 = a * (y * (x * b));
	double tmp;
	if (y4 <= -1.06e+97) {
		tmp = t_1;
	} else if (y4 <= -7.6e-133) {
		tmp = t_2;
	} else if (y4 <= 9.2e-127) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 4.4e+169) {
		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 = c * (y * (y3 * y4))
    t_2 = a * (y * (x * b))
    if (y4 <= (-1.06d+97)) then
        tmp = t_1
    else if (y4 <= (-7.6d-133)) then
        tmp = t_2
    else if (y4 <= 9.2d-127) then
        tmp = j * (y0 * (y3 * y5))
    else if (y4 <= 4.4d+169) 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 = c * (y * (y3 * y4));
	double t_2 = a * (y * (x * b));
	double tmp;
	if (y4 <= -1.06e+97) {
		tmp = t_1;
	} else if (y4 <= -7.6e-133) {
		tmp = t_2;
	} else if (y4 <= 9.2e-127) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 4.4e+169) {
		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 = c * (y * (y3 * y4))
	t_2 = a * (y * (x * b))
	tmp = 0
	if y4 <= -1.06e+97:
		tmp = t_1
	elif y4 <= -7.6e-133:
		tmp = t_2
	elif y4 <= 9.2e-127:
		tmp = j * (y0 * (y3 * y5))
	elif y4 <= 4.4e+169:
		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(c * Float64(y * Float64(y3 * y4)))
	t_2 = Float64(a * Float64(y * Float64(x * b)))
	tmp = 0.0
	if (y4 <= -1.06e+97)
		tmp = t_1;
	elseif (y4 <= -7.6e-133)
		tmp = t_2;
	elseif (y4 <= 9.2e-127)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y4 <= 4.4e+169)
		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 = c * (y * (y3 * y4));
	t_2 = a * (y * (x * b));
	tmp = 0.0;
	if (y4 <= -1.06e+97)
		tmp = t_1;
	elseif (y4 <= -7.6e-133)
		tmp = t_2;
	elseif (y4 <= 9.2e-127)
		tmp = j * (y0 * (y3 * y5));
	elseif (y4 <= 4.4e+169)
		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[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.06e+97], t$95$1, If[LessEqual[y4, -7.6e-133], t$95$2, If[LessEqual[y4, 9.2e-127], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.4e+169], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if y4 < -1.05999999999999994e97 or 4.4e169 < y4

   1. Initial program 27.2%

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

   3. Taylor expanded in y around inf 36.2%

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

   4. Taylor expanded in c around -inf 41.9%

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

      1. mul-1-neg 41.9%

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

   6. Simplified 41.9%

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

   7. Taylor expanded in i around 0 37.2%

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

   if -1.05999999999999994e97 < y4 < -7.6000000000000006e-133 or 9.20000000000000075e-127 < y4 < 4.4e169

   1. Initial program 34.8%

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

   3. Taylor expanded in b around inf 40.7%

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

   4. Taylor expanded in a around inf 30.1%

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

   5. Taylor expanded in x around inf 30.4%

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

      1. associate-*r* 33.9%

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

   7. Simplified 33.9%

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

   if -7.6000000000000006e-133 < y4 < 9.20000000000000075e-127

   1. Initial program 33.9%

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

   3. Taylor expanded in b around 0 35.6%

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

   4. Taylor expanded in y0 around inf 39.3%

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

   5. Taylor expanded in j around inf 29.1%

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

4. Final simplification 33.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.06 \cdot 10^{+97}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7.6 \cdot 10^{-133}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 9.2 \cdot 10^{-127}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 4.4 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 21.7% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;y4 \leq -4.8 \cdot 10^{+90}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -4.5 \cdot 10^{-134}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 3.9 \cdot 10^{-125}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.7 \cdot 10^{+187}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* y3 (* c y4)))) (t_2 (* a (* y (* x b)))))
   (if (<= y4 -4.8e+90)
     t_1
     (if (<= y4 -4.5e-134)
       t_2
       (if (<= y4 3.9e-125)
         (* j (* y0 (* y3 y5)))
         (if (<= y4 6.7e+187) 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 = y * (y3 * (c * y4));
	double t_2 = a * (y * (x * b));
	double tmp;
	if (y4 <= -4.8e+90) {
		tmp = t_1;
	} else if (y4 <= -4.5e-134) {
		tmp = t_2;
	} else if (y4 <= 3.9e-125) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 6.7e+187) {
		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 = y * (y3 * (c * y4))
    t_2 = a * (y * (x * b))
    if (y4 <= (-4.8d+90)) then
        tmp = t_1
    else if (y4 <= (-4.5d-134)) then
        tmp = t_2
    else if (y4 <= 3.9d-125) then
        tmp = j * (y0 * (y3 * y5))
    else if (y4 <= 6.7d+187) 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 = y * (y3 * (c * y4));
	double t_2 = a * (y * (x * b));
	double tmp;
	if (y4 <= -4.8e+90) {
		tmp = t_1;
	} else if (y4 <= -4.5e-134) {
		tmp = t_2;
	} else if (y4 <= 3.9e-125) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 6.7e+187) {
		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 = y * (y3 * (c * y4))
	t_2 = a * (y * (x * b))
	tmp = 0
	if y4 <= -4.8e+90:
		tmp = t_1
	elif y4 <= -4.5e-134:
		tmp = t_2
	elif y4 <= 3.9e-125:
		tmp = j * (y0 * (y3 * y5))
	elif y4 <= 6.7e+187:
		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(y * Float64(y3 * Float64(c * y4)))
	t_2 = Float64(a * Float64(y * Float64(x * b)))
	tmp = 0.0
	if (y4 <= -4.8e+90)
		tmp = t_1;
	elseif (y4 <= -4.5e-134)
		tmp = t_2;
	elseif (y4 <= 3.9e-125)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y4 <= 6.7e+187)
		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 = y * (y3 * (c * y4));
	t_2 = a * (y * (x * b));
	tmp = 0.0;
	if (y4 <= -4.8e+90)
		tmp = t_1;
	elseif (y4 <= -4.5e-134)
		tmp = t_2;
	elseif (y4 <= 3.9e-125)
		tmp = j * (y0 * (y3 * y5));
	elseif (y4 <= 6.7e+187)
		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[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4.8e+90], t$95$1, If[LessEqual[y4, -4.5e-134], t$95$2, If[LessEqual[y4, 3.9e-125], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.7e+187], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if y4 < -4.8000000000000002e90 or 6.7000000000000001e187 < y4

   1. Initial program 27.6%

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

   3. Taylor expanded in y around inf 38.0%

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

   4. Taylor expanded in y3 around inf 41.3%

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

   5. Taylor expanded in c around inf 36.4%

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

   if -4.8000000000000002e90 < y4 < -4.5000000000000005e-134 or 3.89999999999999982e-125 < y4 < 6.7000000000000001e187

   1. Initial program 34.5%

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

   3. Taylor expanded in b around inf 39.4%

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

   4. Taylor expanded in a around inf 30.7%

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

   5. Taylor expanded in x around inf 31.0%

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

      1. associate-*r* 34.5%

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

   7. Simplified 34.5%

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

   if -4.5000000000000005e-134 < y4 < 3.89999999999999982e-125

   1. Initial program 33.9%

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

   3. Taylor expanded in b around 0 35.6%

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

   4. Taylor expanded in y0 around inf 39.3%

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

   5. Taylor expanded in j around inf 29.1%

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

4. Final simplification 33.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4.8 \cdot 10^{+90}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -4.5 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 3.9 \cdot 10^{-125}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.7 \cdot 10^{+187}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 21.4% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;y4 \leq -6.4 \cdot 10^{+90}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7.8 \cdot 10^{-135}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{-124}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{+188}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (* x b)))))
   (if (<= y4 -6.4e+90)
     (* y (* y3 (* c y4)))
     (if (<= y4 -7.8e-135)
       t_1
       (if (<= y4 1.4e-124)
         (* j (* y0 (* y3 y5)))
         (if (<= y4 5.2e+188) t_1 (* (* y3 y4) (* y c))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * (x * b));
	double tmp;
	if (y4 <= -6.4e+90) {
		tmp = y * (y3 * (c * y4));
	} else if (y4 <= -7.8e-135) {
		tmp = t_1;
	} else if (y4 <= 1.4e-124) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 5.2e+188) {
		tmp = t_1;
	} else {
		tmp = (y3 * y4) * (y * c);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y * (x * b))
    if (y4 <= (-6.4d+90)) then
        tmp = y * (y3 * (c * y4))
    else if (y4 <= (-7.8d-135)) then
        tmp = t_1
    else if (y4 <= 1.4d-124) then
        tmp = j * (y0 * (y3 * y5))
    else if (y4 <= 5.2d+188) then
        tmp = t_1
    else
        tmp = (y3 * y4) * (y * c)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * (x * b));
	double tmp;
	if (y4 <= -6.4e+90) {
		tmp = y * (y3 * (c * y4));
	} else if (y4 <= -7.8e-135) {
		tmp = t_1;
	} else if (y4 <= 1.4e-124) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 5.2e+188) {
		tmp = t_1;
	} else {
		tmp = (y3 * y4) * (y * c);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y * (x * b))
	tmp = 0
	if y4 <= -6.4e+90:
		tmp = y * (y3 * (c * y4))
	elif y4 <= -7.8e-135:
		tmp = t_1
	elif y4 <= 1.4e-124:
		tmp = j * (y0 * (y3 * y5))
	elif y4 <= 5.2e+188:
		tmp = t_1
	else:
		tmp = (y3 * y4) * (y * c)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y * Float64(x * b)))
	tmp = 0.0
	if (y4 <= -6.4e+90)
		tmp = Float64(y * Float64(y3 * Float64(c * y4)));
	elseif (y4 <= -7.8e-135)
		tmp = t_1;
	elseif (y4 <= 1.4e-124)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y4 <= 5.2e+188)
		tmp = t_1;
	else
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y * (x * b));
	tmp = 0.0;
	if (y4 <= -6.4e+90)
		tmp = y * (y3 * (c * y4));
	elseif (y4 <= -7.8e-135)
		tmp = t_1;
	elseif (y4 <= 1.4e-124)
		tmp = j * (y0 * (y3 * y5));
	elseif (y4 <= 5.2e+188)
		tmp = t_1;
	else
		tmp = (y3 * y4) * (y * c);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -6.4e+90], N[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7.8e-135], t$95$1, If[LessEqual[y4, 1.4e-124], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.2e+188], t$95$1, N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if y4 < -6.39999999999999997e90

   1. Initial program 24.0%

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

   3. Taylor expanded in y around inf 43.6%

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

   4. Taylor expanded in y3 around inf 44.3%

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

   5. Taylor expanded in c around inf 38.7%

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

   if -6.39999999999999997e90 < y4 < -7.80000000000000043e-135 or 1.39999999999999999e-124 < y4 < 5.19999999999999975e188

   1. Initial program 34.5%

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

   3. Taylor expanded in b around inf 39.4%

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

   4. Taylor expanded in a around inf 30.7%

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

   5. Taylor expanded in x around inf 31.0%

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

      1. associate-*r* 34.5%

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

   7. Simplified 34.5%

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

   if -7.80000000000000043e-135 < y4 < 1.39999999999999999e-124

   1. Initial program 33.9%

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

   3. Taylor expanded in b around 0 35.6%

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

   4. Taylor expanded in y0 around inf 39.3%

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

   5. Taylor expanded in j around inf 29.1%

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

   if 5.19999999999999975e188 < y4

   1. Initial program 34.6%

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

   3. Taylor expanded in y around inf 26.9%

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

   4. Taylor expanded in y3 around inf 35.3%

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

   5. Taylor expanded in c around inf 31.8%

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

      1. associate-*r* 35.4%

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

   7. Simplified 35.4%

      \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -6.4 \cdot 10^{+90}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7.8 \cdot 10^{-135}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{-124}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{+188}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 19.4% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq 7.2 \cdot 10^{-128}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-74}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 9 \cdot 10^{+51}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k 7.2e-128)
   (* a (* y (* x b)))
   (if (<= k 1.1e-74)
     (* y0 (* j (* y3 y5)))
     (if (<= k 9e+51) (* y (* y3 (* a (- y5)))) (* y0 (* k (* 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 tmp;
	if (k <= 7.2e-128) {
		tmp = a * (y * (x * b));
	} else if (k <= 1.1e-74) {
		tmp = y0 * (j * (y3 * y5));
	} else if (k <= 9e+51) {
		tmp = y * (y3 * (a * -y5));
	} else {
		tmp = y0 * (k * (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) :: tmp
    if (k <= 7.2d-128) then
        tmp = a * (y * (x * b))
    else if (k <= 1.1d-74) then
        tmp = y0 * (j * (y3 * y5))
    else if (k <= 9d+51) then
        tmp = y * (y3 * (a * -y5))
    else
        tmp = y0 * (k * (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 tmp;
	if (k <= 7.2e-128) {
		tmp = a * (y * (x * b));
	} else if (k <= 1.1e-74) {
		tmp = y0 * (j * (y3 * y5));
	} else if (k <= 9e+51) {
		tmp = y * (y3 * (a * -y5));
	} else {
		tmp = y0 * (k * (y2 * -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 k <= 7.2e-128:
		tmp = a * (y * (x * b))
	elif k <= 1.1e-74:
		tmp = y0 * (j * (y3 * y5))
	elif k <= 9e+51:
		tmp = y * (y3 * (a * -y5))
	else:
		tmp = y0 * (k * (y2 * -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 (k <= 7.2e-128)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (k <= 1.1e-74)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (k <= 9e+51)
		tmp = Float64(y * Float64(y3 * Float64(a * Float64(-y5))));
	else
		tmp = Float64(y0 * Float64(k * Float64(y2 * Float64(-y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (k <= 7.2e-128)
		tmp = a * (y * (x * b));
	elseif (k <= 1.1e-74)
		tmp = y0 * (j * (y3 * y5));
	elseif (k <= 9e+51)
		tmp = y * (y3 * (a * -y5));
	else
		tmp = y0 * (k * (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_] := If[LessEqual[k, 7.2e-128], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.1e-74], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 9e+51], N[(y * N[(y3 * N[(a * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(k * N[(y2 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if k < 7.20000000000000049e-128

   1. Initial program 30.7%

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

   3. Taylor expanded in b around inf 36.1%

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

   4. Taylor expanded in a around inf 35.3%

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

   5. Taylor expanded in x around inf 25.9%

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

      1. associate-*r* 28.3%

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

   7. Simplified 28.3%

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

   if 7.20000000000000049e-128 < k < 1.10000000000000005e-74

   1. Initial program 46.2%

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

   3. Taylor expanded in b around 0 38.5%

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

   4. Taylor expanded in y0 around inf 69.4%

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

   5. Taylor expanded in j around inf 54.8%

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

   if 1.10000000000000005e-74 < k < 8.9999999999999999e51

   1. Initial program 47.9%

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

   3. Taylor expanded in y around inf 42.5%

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

   4. Taylor expanded in y3 around inf 48.1%

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

   5. Taylor expanded in c around 0 43.3%

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

      1. mul-1-neg 43.3%

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

      2. *-commutative 43.3%

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

      3. distribute-lft-neg-in 43.3%

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

   7. Simplified 43.3%

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

   if 8.9999999999999999e51 < k

   1. Initial program 28.8%

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

   3. Taylor expanded in b around 0 28.8%

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

   4. Taylor expanded in y0 around inf 45.9%

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

   5. Taylor expanded in k around inf 33.3%

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

      1. mul-1-neg 33.3%

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

      2. distribute-rgt-neg-in 33.3%

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

      3. distribute-rgt-neg-in 33.3%

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

   7. Simplified 33.3%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq 7.2 \cdot 10^{-128}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-74}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 9 \cdot 10^{+51}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 20.4% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -9.8 \cdot 10^{+26}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-142}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -9.8e+26)
   (* c (* x (* y0 y2)))
   (if (<= y2 -1.8e-142) (* c (* y (* y3 y4))) (* 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 (y2 <= -9.8e+26) {
		tmp = c * (x * (y0 * y2));
	} else if (y2 <= -1.8e-142) {
		tmp = c * (y * (y3 * y4));
	} 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 (y2 <= (-9.8d+26)) then
        tmp = c * (x * (y0 * y2))
    else if (y2 <= (-1.8d-142)) then
        tmp = c * (y * (y3 * y4))
    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 (y2 <= -9.8e+26) {
		tmp = c * (x * (y0 * y2));
	} else if (y2 <= -1.8e-142) {
		tmp = c * (y * (y3 * y4));
	} 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 y2 <= -9.8e+26:
		tmp = c * (x * (y0 * y2))
	elif y2 <= -1.8e-142:
		tmp = c * (y * (y3 * y4))
	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 (y2 <= -9.8e+26)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y2 <= -1.8e-142)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	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 (y2 <= -9.8e+26)
		tmp = c * (x * (y0 * y2));
	elseif (y2 <= -1.8e-142)
		tmp = c * (y * (y3 * y4));
	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[y2, -9.8e+26], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.8e-142], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if y2 < -9.79999999999999947e26

   1. Initial program 28.9%

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

   3. Taylor expanded in b around 0 32.8%

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

   4. Taylor expanded in y0 around inf 48.9%

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

   5. Taylor expanded in x around inf 35.6%

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

   if -9.79999999999999947e26 < y2 < -1.8e-142

   1. Initial program 30.1%

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

   3. Taylor expanded in y around inf 38.5%

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

   4. Taylor expanded in c around -inf 33.4%

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

      1. mul-1-neg 33.4%

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

   6. Simplified 33.4%

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

   7. Taylor expanded in i around 0 21.9%

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

   if -1.8e-142 < y2

   1. Initial program 33.8%

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

   3. Taylor expanded in b around inf 39.2%

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

   4. Taylor expanded in a around inf 36.4%

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

   5. Taylor expanded in x around inf 27.5%

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

      1. associate-*r* 28.7%

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

   7. Simplified 28.7%

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

4. Final simplification 29.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -9.8 \cdot 10^{+26}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-142}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 20.2% accurate, 7.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.15 \cdot 10^{+73}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.15e+73) (* c (* x (* y0 y2))) (* 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 (y2 <= -1.15e+73) {
		tmp = c * (x * (y0 * y2));
	} 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 (y2 <= (-1.15d+73)) then
        tmp = c * (x * (y0 * y2))
    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 (y2 <= -1.15e+73) {
		tmp = c * (x * (y0 * y2));
	} 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 y2 <= -1.15e+73:
		tmp = c * (x * (y0 * y2))
	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 (y2 <= -1.15e+73)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	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 (y2 <= -1.15e+73)
		tmp = c * (x * (y0 * y2));
	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[y2, -1.15e+73], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y2 < -1.15e73

   1. Initial program 26.2%

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

   3. Taylor expanded in b around 0 28.5%

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

   4. Taylor expanded in y0 around inf 46.5%

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

   5. Taylor expanded in x around inf 35.7%

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

   if -1.15e73 < y2

   1. Initial program 33.6%

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

   3. Taylor expanded in b around inf 38.4%

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

   4. Taylor expanded in a around inf 31.6%

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

   5. Taylor expanded in x around inf 23.6%

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

      1. associate-*r* 25.5%

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

   7. Simplified 25.5%

      \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.15 \cdot 10^{+73}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 17.3% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 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. Add Preprocessing

3. Taylor expanded in b around inf 36.2%

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

4. Taylor expanded in a around inf 28.8%

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

5. Taylor expanded in x around inf 21.6%

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

   1. *-commutative 21.6%

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

7. Simplified 21.6%

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

8. Final simplification 21.6%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
9. Add Preprocessing

Alternative 29: 17.4% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(y \cdot \left(x \cdot b\right)\right) \end{array} \]

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 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. Add Preprocessing

3. Taylor expanded in b around inf 36.2%

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

4. Taylor expanded in a around inf 28.8%

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

5. Taylor expanded in x around inf 21.6%

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

   1. associate-*r* 23.5%

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

7. Simplified 23.5%

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

8. Final simplification 23.5%

   \[\leadsto a \cdot \left(y \cdot \left(x \cdot b\right)\right) \]
9. Add Preprocessing

Developer target: 27.3% accurate, 0.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t\_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t\_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t\_9\\ t_11 := t\_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t\_4 \cdot t\_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t\_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t\_3 \cdot t\_1 - t\_14\right)\right) + \left(t\_8 - \left(t\_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t\_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t\_13\right)\right) + \left(t\_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t\_10 - \left(y \cdot x - z \cdot t\right) \cdot t\_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t\_8 - \left(t\_11 - t\_6\right)\right) - \left(\frac{t\_3}{\frac{1}{t\_1}} - t\_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t\_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t\_2 - \left(t\_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t\_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t\_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t\_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t\_5\right) - t\_17 \cdot t\_1\right) + t\_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2024089 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :alt
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

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