Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.3% → 40.9%

Time: 1.4min

Alternatives: 42

Speedup: 1.9×

• 89.3% 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: 30.3% 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: 40.9% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := y2 \cdot t\_1\\ t_3 := t \cdot j - y \cdot k\\ t_4 := a \cdot b - c \cdot i\\ t_5 := z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_4\right)\\ t_6 := j \cdot y3 - k \cdot y2\\ t_7 := y \cdot y3 - t \cdot y2\\ t_8 := y5 \cdot \left(\left(y0 \cdot t\_6 - i \cdot t\_3\right) - a \cdot t\_7\right)\\ t_9 := k \cdot y2 - j \cdot y3\\ t_10 := a \cdot y5 - c \cdot y4\\ \mathbf{if}\;y5 \leq -7.2 \cdot 10^{+202}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;y5 \leq -6.4 \cdot 10^{+168}:\\ \;\;\;\;k \cdot t\_2\\ \mathbf{elif}\;y5 \leq -2.2 \cdot 10^{+95}:\\ \;\;\;\;t\_9 \cdot t\_1 + t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot t\_10\right)\\ \mathbf{elif}\;y5 \leq -1.18 \cdot 10^{+64}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot t\_6 + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -3.05 \cdot 10^{-55}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_10\right)\\ \mathbf{elif}\;y5 \leq -2.85 \cdot 10^{-92}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq -9.2 \cdot 10^{-228}:\\ \;\;\;\;k \cdot \left(\left(t\_2 + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 7 \cdot 10^{-301}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq 2 \cdot 10^{-90}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_3 + y1 \cdot t\_9\right) + c \cdot t\_7\right)\\ \mathbf{elif}\;y5 \leq 10^{+118}:\\ \;\;\;\;y \cdot \left(x \cdot t\_4 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_8\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (* y2 t_1))
        (t_3 (- (* t j) (* y k)))
        (t_4 (- (* a b) (* c i)))
        (t_5 (* z (- (* y3 (- (* a y1) (* c y0))) (* t t_4))))
        (t_6 (- (* j y3) (* k y2)))
        (t_7 (- (* y y3) (* t y2)))
        (t_8 (* y5 (- (- (* y0 t_6) (* i t_3)) (* a t_7))))
        (t_9 (- (* k y2) (* j y3)))
        (t_10 (- (* a y5) (* c y4))))
   (if (<= y5 -7.2e+202)
     t_8
     (if (<= y5 -6.4e+168)
       (* k t_2)
       (if (<= y5 -2.2e+95)
         (+
          (* t_9 t_1)
          (*
           t
           (+
            (+ (* z (- (* c i) (* a b))) (* j (- (* b y4) (* i y5))))
            (* y2 t_10))))
         (if (<= y5 -1.18e+64)
           (*
            y0
            (-
             (+ (* y5 t_6) (* c (- (* x y2) (* z y3))))
             (* b (- (* x j) (* z k)))))
           (if (<= y5 -3.05e-55)
             (* y2 (+ (+ (* k t_1) (* x (- (* c y0) (* a y1)))) (* t t_10)))
             (if (<= y5 -2.85e-92)
               t_5
               (if (<= y5 -9.2e-228)
                 (*
                  k
                  (+
                   (+ t_2 (* y (- (* i y5) (* b y4))))
                   (* z (- (* b y0) (* i y1)))))
                 (if (<= y5 7e-301)
                   t_5
                   (if (<= y5 2e-90)
                     (* y4 (+ (+ (* b t_3) (* y1 t_9)) (* c t_7)))
                     (if (<= y5 1e+118)
                       (* y (+ (* x t_4) (* y3 (- (* c y4) (* a y5)))))
                       t_8))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = y2 * t_1;
	double t_3 = (t * j) - (y * k);
	double t_4 = (a * b) - (c * i);
	double t_5 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_4));
	double t_6 = (j * y3) - (k * y2);
	double t_7 = (y * y3) - (t * y2);
	double t_8 = y5 * (((y0 * t_6) - (i * t_3)) - (a * t_7));
	double t_9 = (k * y2) - (j * y3);
	double t_10 = (a * y5) - (c * y4);
	double tmp;
	if (y5 <= -7.2e+202) {
		tmp = t_8;
	} else if (y5 <= -6.4e+168) {
		tmp = k * t_2;
	} else if (y5 <= -2.2e+95) {
		tmp = (t_9 * t_1) + (t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_10)));
	} else if (y5 <= -1.18e+64) {
		tmp = y0 * (((y5 * t_6) + (c * ((x * y2) - (z * y3)))) - (b * ((x * j) - (z * k))));
	} else if (y5 <= -3.05e-55) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_10));
	} else if (y5 <= -2.85e-92) {
		tmp = t_5;
	} else if (y5 <= -9.2e-228) {
		tmp = k * ((t_2 + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	} else if (y5 <= 7e-301) {
		tmp = t_5;
	} else if (y5 <= 2e-90) {
		tmp = y4 * (((b * t_3) + (y1 * t_9)) + (c * t_7));
	} else if (y5 <= 1e+118) {
		tmp = y * ((x * t_4) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = t_8;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = y2 * t_1
    t_3 = (t * j) - (y * k)
    t_4 = (a * b) - (c * i)
    t_5 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_4))
    t_6 = (j * y3) - (k * y2)
    t_7 = (y * y3) - (t * y2)
    t_8 = y5 * (((y0 * t_6) - (i * t_3)) - (a * t_7))
    t_9 = (k * y2) - (j * y3)
    t_10 = (a * y5) - (c * y4)
    if (y5 <= (-7.2d+202)) then
        tmp = t_8
    else if (y5 <= (-6.4d+168)) then
        tmp = k * t_2
    else if (y5 <= (-2.2d+95)) then
        tmp = (t_9 * t_1) + (t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_10)))
    else if (y5 <= (-1.18d+64)) then
        tmp = y0 * (((y5 * t_6) + (c * ((x * y2) - (z * y3)))) - (b * ((x * j) - (z * k))))
    else if (y5 <= (-3.05d-55)) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_10))
    else if (y5 <= (-2.85d-92)) then
        tmp = t_5
    else if (y5 <= (-9.2d-228)) then
        tmp = k * ((t_2 + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))))
    else if (y5 <= 7d-301) then
        tmp = t_5
    else if (y5 <= 2d-90) then
        tmp = y4 * (((b * t_3) + (y1 * t_9)) + (c * t_7))
    else if (y5 <= 1d+118) then
        tmp = y * ((x * t_4) + (y3 * ((c * y4) - (a * y5))))
    else
        tmp = t_8
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = y2 * t_1;
	double t_3 = (t * j) - (y * k);
	double t_4 = (a * b) - (c * i);
	double t_5 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_4));
	double t_6 = (j * y3) - (k * y2);
	double t_7 = (y * y3) - (t * y2);
	double t_8 = y5 * (((y0 * t_6) - (i * t_3)) - (a * t_7));
	double t_9 = (k * y2) - (j * y3);
	double t_10 = (a * y5) - (c * y4);
	double tmp;
	if (y5 <= -7.2e+202) {
		tmp = t_8;
	} else if (y5 <= -6.4e+168) {
		tmp = k * t_2;
	} else if (y5 <= -2.2e+95) {
		tmp = (t_9 * t_1) + (t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_10)));
	} else if (y5 <= -1.18e+64) {
		tmp = y0 * (((y5 * t_6) + (c * ((x * y2) - (z * y3)))) - (b * ((x * j) - (z * k))));
	} else if (y5 <= -3.05e-55) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_10));
	} else if (y5 <= -2.85e-92) {
		tmp = t_5;
	} else if (y5 <= -9.2e-228) {
		tmp = k * ((t_2 + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	} else if (y5 <= 7e-301) {
		tmp = t_5;
	} else if (y5 <= 2e-90) {
		tmp = y4 * (((b * t_3) + (y1 * t_9)) + (c * t_7));
	} else if (y5 <= 1e+118) {
		tmp = y * ((x * t_4) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = t_8;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = y2 * t_1
	t_3 = (t * j) - (y * k)
	t_4 = (a * b) - (c * i)
	t_5 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_4))
	t_6 = (j * y3) - (k * y2)
	t_7 = (y * y3) - (t * y2)
	t_8 = y5 * (((y0 * t_6) - (i * t_3)) - (a * t_7))
	t_9 = (k * y2) - (j * y3)
	t_10 = (a * y5) - (c * y4)
	tmp = 0
	if y5 <= -7.2e+202:
		tmp = t_8
	elif y5 <= -6.4e+168:
		tmp = k * t_2
	elif y5 <= -2.2e+95:
		tmp = (t_9 * t_1) + (t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_10)))
	elif y5 <= -1.18e+64:
		tmp = y0 * (((y5 * t_6) + (c * ((x * y2) - (z * y3)))) - (b * ((x * j) - (z * k))))
	elif y5 <= -3.05e-55:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_10))
	elif y5 <= -2.85e-92:
		tmp = t_5
	elif y5 <= -9.2e-228:
		tmp = k * ((t_2 + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))))
	elif y5 <= 7e-301:
		tmp = t_5
	elif y5 <= 2e-90:
		tmp = y4 * (((b * t_3) + (y1 * t_9)) + (c * t_7))
	elif y5 <= 1e+118:
		tmp = y * ((x * t_4) + (y3 * ((c * y4) - (a * y5))))
	else:
		tmp = t_8
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(y2 * t_1)
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(Float64(a * b) - Float64(c * i))
	t_5 = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_4)))
	t_6 = Float64(Float64(j * y3) - Float64(k * y2))
	t_7 = Float64(Float64(y * y3) - Float64(t * y2))
	t_8 = Float64(y5 * Float64(Float64(Float64(y0 * t_6) - Float64(i * t_3)) - Float64(a * t_7)))
	t_9 = Float64(Float64(k * y2) - Float64(j * y3))
	t_10 = Float64(Float64(a * y5) - Float64(c * y4))
	tmp = 0.0
	if (y5 <= -7.2e+202)
		tmp = t_8;
	elseif (y5 <= -6.4e+168)
		tmp = Float64(k * t_2);
	elseif (y5 <= -2.2e+95)
		tmp = Float64(Float64(t_9 * t_1) + Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(y2 * t_10))));
	elseif (y5 <= -1.18e+64)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * t_6) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) - Float64(b * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y5 <= -3.05e-55)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_10)));
	elseif (y5 <= -2.85e-92)
		tmp = t_5;
	elseif (y5 <= -9.2e-228)
		tmp = Float64(k * Float64(Float64(t_2 + Float64(y * Float64(Float64(i * y5) - Float64(b * y4)))) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (y5 <= 7e-301)
		tmp = t_5;
	elseif (y5 <= 2e-90)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_3) + Float64(y1 * t_9)) + Float64(c * t_7)));
	elseif (y5 <= 1e+118)
		tmp = Float64(y * Float64(Float64(x * t_4) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	else
		tmp = t_8;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = y2 * t_1;
	t_3 = (t * j) - (y * k);
	t_4 = (a * b) - (c * i);
	t_5 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_4));
	t_6 = (j * y3) - (k * y2);
	t_7 = (y * y3) - (t * y2);
	t_8 = y5 * (((y0 * t_6) - (i * t_3)) - (a * t_7));
	t_9 = (k * y2) - (j * y3);
	t_10 = (a * y5) - (c * y4);
	tmp = 0.0;
	if (y5 <= -7.2e+202)
		tmp = t_8;
	elseif (y5 <= -6.4e+168)
		tmp = k * t_2;
	elseif (y5 <= -2.2e+95)
		tmp = (t_9 * t_1) + (t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_10)));
	elseif (y5 <= -1.18e+64)
		tmp = y0 * (((y5 * t_6) + (c * ((x * y2) - (z * y3)))) - (b * ((x * j) - (z * k))));
	elseif (y5 <= -3.05e-55)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_10));
	elseif (y5 <= -2.85e-92)
		tmp = t_5;
	elseif (y5 <= -9.2e-228)
		tmp = k * ((t_2 + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	elseif (y5 <= 7e-301)
		tmp = t_5;
	elseif (y5 <= 2e-90)
		tmp = y4 * (((b * t_3) + (y1 * t_9)) + (c * t_7));
	elseif (y5 <= 1e+118)
		tmp = y * ((x * t_4) + (y3 * ((c * y4) - (a * y5))));
	else
		tmp = t_8;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y5 * N[(N[(N[(y0 * t$95$6), $MachinePrecision] - N[(i * t$95$3), $MachinePrecision]), $MachinePrecision] - N[(a * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -7.2e+202], t$95$8, If[LessEqual[y5, -6.4e+168], N[(k * t$95$2), $MachinePrecision], If[LessEqual[y5, -2.2e+95], N[(N[(t$95$9 * t$95$1), $MachinePrecision] + N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.18e+64], N[(y0 * N[(N[(N[(y5 * t$95$6), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.05e-55], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.85e-92], t$95$5, If[LessEqual[y5, -9.2e-228], N[(k * N[(N[(t$95$2 + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7e-301], t$95$5, If[LessEqual[y5, 2e-90], N[(y4 * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * t$95$9), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1e+118], N[(y * N[(N[(x * t$95$4), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$8]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y5 < -7.20000000000000016e202 or 9.99999999999999967e117 < y5

   1. Initial program 18.5%

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

   3. Taylor expanded in y5 around -inf 61.7%

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

   if -7.20000000000000016e202 < y5 < -6.4000000000000002e168

   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 58.3%

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

   4. Taylor expanded in y2 around inf 75.2%

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

   if -6.4000000000000002e168 < y5 < -2.1999999999999999e95

   1. Initial program 46.6%

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

   3. Taylor expanded in t around inf 70.0%

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

   if -2.1999999999999999e95 < y5 < -1.18000000000000006e64

   1. Initial program 28.6%

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

   3. Taylor expanded in y0 around inf 71.8%

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

   if -1.18000000000000006e64 < y5 < -3.0500000000000001e-55

   1. Initial program 46.3%

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

   3. Taylor expanded in y2 around inf 61.7%

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

   if -3.0500000000000001e-55 < y5 < -2.85000000000000004e-92 or -9.1999999999999995e-228 < y5 < 6.99999999999999984e-301

   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 k around 0 35.1%

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

   4. Taylor expanded in z around -inf 80.3%

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

   if -2.85000000000000004e-92 < y5 < -9.1999999999999995e-228

   1. Initial program 37.0%

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

   3. Taylor expanded in k around inf 66.6%

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

   if 6.99999999999999984e-301 < y5 < 1.99999999999999999e-90

   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 y4 around inf 60.9%

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

   if 1.99999999999999999e-90 < y5 < 9.99999999999999967e117

   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 k around 0 22.2%

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

   4. Taylor expanded in y around inf 57.1%

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

      1. mul-1-neg 57.1%

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

   6. Simplified 57.1%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 65.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -7.2 \cdot 10^{+202}:\\ \;\;\;\;y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -6.4 \cdot 10^{+168}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -2.2 \cdot 10^{+95}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.18 \cdot 10^{+64}:\\ \;\;\;\;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(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -3.05 \cdot 10^{-55}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -2.85 \cdot 10^{-92}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -9.2 \cdot 10^{-228}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 7 \cdot 10^{-301}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 2 \cdot 10^{-90}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{+118}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 53.3% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 93.4%

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

   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 inf 36.0%

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

   4. Taylor expanded in j around inf 44.1%

      \[\leadsto \color{blue}{j \cdot \left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 61.1%

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

Alternative 3: 34.6% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := y \cdot \left(x \cdot t\_1 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_3 := z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_1\right)\\ \mathbf{if}\;k \leq -2.25 \cdot 10^{+70}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.18 \cdot 10^{+28}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.32 \cdot 10^{-70}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -3.3 \cdot 10^{-218}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq -2.6 \cdot 10^{-269}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-299}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq 1.32 \cdot 10^{-222}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 43000000000000:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{+76}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 5.8 \cdot 10^{+131}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq 6.4 \cdot 10^{+162}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 2.75 \cdot 10^{+219}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2 (* y (+ (* x t_1) (* y3 (- (* c y4) (* a y5))))))
        (t_3 (* z (- (* y3 (- (* a y1) (* c y0))) (* t t_1)))))
   (if (<= k -2.25e+70)
     (* y2 (* k (- (* y1 y4) (* y0 y5))))
     (if (<= k -1.18e+28)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= k -2.32e-70)
         (* j (* y3 (- (* y0 y5) (* y1 y4))))
         (if (<= k -3.3e-218)
           t_3
           (if (<= k -2.6e-269)
             (* i (* x (- (* j y1) (* y c))))
             (if (<= k 2.05e-299)
               t_3
               (if (<= k 1.32e-222)
                 t_2
                 (if (<= k 43000000000000.0)
                   t_3
                   (if (<= k 1.8e+76)
                     t_2
                     (if (<= k 5.8e+131)
                       t_3
                       (if (<= k 6.4e+162)
                         (* y2 (* y4 (- (* k y1) (* t c))))
                         (if (<= k 2.75e+219)
                           (*
                            y5
                            (-
                             (* y0 (- (* j y3) (* k y2)))
                             (* i (- (* t j) (* y k)))))
                           (* k (* z (- (* b y0) (* i y1))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	double t_3 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	double tmp;
	if (k <= -2.25e+70) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (k <= -1.18e+28) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (k <= -2.32e-70) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (k <= -3.3e-218) {
		tmp = t_3;
	} else if (k <= -2.6e-269) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (k <= 2.05e-299) {
		tmp = t_3;
	} else if (k <= 1.32e-222) {
		tmp = t_2;
	} else if (k <= 43000000000000.0) {
		tmp = t_3;
	} else if (k <= 1.8e+76) {
		tmp = t_2;
	} else if (k <= 5.8e+131) {
		tmp = t_3;
	} else if (k <= 6.4e+162) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (k <= 2.75e+219) {
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	} else {
		tmp = k * (z * ((b * y0) - (i * y1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))))
    t_3 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1))
    if (k <= (-2.25d+70)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (k <= (-1.18d+28)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (k <= (-2.32d-70)) then
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    else if (k <= (-3.3d-218)) then
        tmp = t_3
    else if (k <= (-2.6d-269)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (k <= 2.05d-299) then
        tmp = t_3
    else if (k <= 1.32d-222) then
        tmp = t_2
    else if (k <= 43000000000000.0d0) then
        tmp = t_3
    else if (k <= 1.8d+76) then
        tmp = t_2
    else if (k <= 5.8d+131) then
        tmp = t_3
    else if (k <= 6.4d+162) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (k <= 2.75d+219) then
        tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))))
    else
        tmp = k * (z * ((b * y0) - (i * y1)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	double t_3 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	double tmp;
	if (k <= -2.25e+70) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (k <= -1.18e+28) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (k <= -2.32e-70) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (k <= -3.3e-218) {
		tmp = t_3;
	} else if (k <= -2.6e-269) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (k <= 2.05e-299) {
		tmp = t_3;
	} else if (k <= 1.32e-222) {
		tmp = t_2;
	} else if (k <= 43000000000000.0) {
		tmp = t_3;
	} else if (k <= 1.8e+76) {
		tmp = t_2;
	} else if (k <= 5.8e+131) {
		tmp = t_3;
	} else if (k <= 6.4e+162) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (k <= 2.75e+219) {
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	} else {
		tmp = k * (z * ((b * y0) - (i * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))))
	t_3 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1))
	tmp = 0
	if k <= -2.25e+70:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif k <= -1.18e+28:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif k <= -2.32e-70:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	elif k <= -3.3e-218:
		tmp = t_3
	elif k <= -2.6e-269:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif k <= 2.05e-299:
		tmp = t_3
	elif k <= 1.32e-222:
		tmp = t_2
	elif k <= 43000000000000.0:
		tmp = t_3
	elif k <= 1.8e+76:
		tmp = t_2
	elif k <= 5.8e+131:
		tmp = t_3
	elif k <= 6.4e+162:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif k <= 2.75e+219:
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))))
	else:
		tmp = k * (z * ((b * y0) - (i * y1)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(y * Float64(Float64(x * t_1) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))))
	t_3 = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_1)))
	tmp = 0.0
	if (k <= -2.25e+70)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (k <= -1.18e+28)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (k <= -2.32e-70)
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	elseif (k <= -3.3e-218)
		tmp = t_3;
	elseif (k <= -2.6e-269)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (k <= 2.05e-299)
		tmp = t_3;
	elseif (k <= 1.32e-222)
		tmp = t_2;
	elseif (k <= 43000000000000.0)
		tmp = t_3;
	elseif (k <= 1.8e+76)
		tmp = t_2;
	elseif (k <= 5.8e+131)
		tmp = t_3;
	elseif (k <= 6.4e+162)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (k <= 2.75e+219)
		tmp = Float64(y5 * Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * Float64(Float64(t * j) - Float64(y * k)))));
	else
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * b) - (c * i);
	t_2 = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	t_3 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	tmp = 0.0;
	if (k <= -2.25e+70)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (k <= -1.18e+28)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (k <= -2.32e-70)
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	elseif (k <= -3.3e-218)
		tmp = t_3;
	elseif (k <= -2.6e-269)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (k <= 2.05e-299)
		tmp = t_3;
	elseif (k <= 1.32e-222)
		tmp = t_2;
	elseif (k <= 43000000000000.0)
		tmp = t_3;
	elseif (k <= 1.8e+76)
		tmp = t_2;
	elseif (k <= 5.8e+131)
		tmp = t_3;
	elseif (k <= 6.4e+162)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (k <= 2.75e+219)
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	else
		tmp = k * (z * ((b * y0) - (i * y1)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(N[(x * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2.25e+70], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.18e+28], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.32e-70], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.3e-218], t$95$3, If[LessEqual[k, -2.6e-269], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.05e-299], t$95$3, If[LessEqual[k, 1.32e-222], t$95$2, If[LessEqual[k, 43000000000000.0], t$95$3, If[LessEqual[k, 1.8e+76], t$95$2, If[LessEqual[k, 5.8e+131], t$95$3, If[LessEqual[k, 6.4e+162], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.75e+219], N[(y5 * N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -2.25e70

   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 y2 around inf 34.4%

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

   4. Taylor expanded in k around inf 49.1%

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

   if -2.25e70 < k < -1.18000000000000009e28

   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 y4 around inf 48.1%

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

   4. Taylor expanded in c around inf 56.5%

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

   if -1.18000000000000009e28 < k < -2.3199999999999999e-70

   1. Initial program 19.9%

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

   3. Taylor expanded in i around -inf 55.4%

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

   4. Taylor expanded in y3 around inf 61.3%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 61.3%

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

   6. Simplified 61.3%

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

   if -2.3199999999999999e-70 < k < -3.30000000000000023e-218 or -2.6e-269 < k < 2.05e-299 or 1.31999999999999998e-222 < k < 4.3e13 or 1.8000000000000001e76 < k < 5.8000000000000002e131

   1. Initial program 37.1%

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

   3. Taylor expanded in k around 0 35.1%

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

   4. Taylor expanded in z around -inf 52.8%

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

   if -3.30000000000000023e-218 < k < -2.6e-269

   1. Initial program 12.3%

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

   3. Taylor expanded in i around -inf 50.6%

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

   4. Taylor expanded in x around inf 64.3%

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

      1. mul-1-neg 64.3%

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

   6. Simplified 64.3%

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

   if 2.05e-299 < k < 1.31999999999999998e-222 or 4.3e13 < k < 1.8000000000000001e76

   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 k around 0 29.3%

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

   4. Taylor expanded in y around inf 60.9%

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

      1. mul-1-neg 60.9%

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

   6. Simplified 60.9%

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

   if 5.8000000000000002e131 < k < 6.4000000000000002e162

   1. Initial program 27.3%

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

   3. Taylor expanded in y4 around inf 54.5%

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

   4. Taylor expanded in y2 around inf 73.0%

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

   if 6.4000000000000002e162 < k < 2.74999999999999986e219

   1. Initial program 39.8%

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

   3. Taylor expanded in i around -inf 30.7%

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

   4. Taylor expanded in y5 around -inf 79.7%

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

   if 2.74999999999999986e219 < k

   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 k around inf 66.9%

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

   4. Taylor expanded in z around inf 62.7%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 56.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.25 \cdot 10^{+70}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.18 \cdot 10^{+28}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.32 \cdot 10^{-70}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -3.3 \cdot 10^{-218}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq -2.6 \cdot 10^{-269}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-299}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.32 \cdot 10^{-222}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 43000000000000:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{+76}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 5.8 \cdot 10^{+131}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 6.4 \cdot 10^{+162}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 2.75 \cdot 10^{+219}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 41.2% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := y \cdot y3 - t \cdot y2\\ t_3 := t \cdot j - y \cdot k\\ t_4 := y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot t\_3\right) - a \cdot t\_2\right)\\ t_5 := y4 \cdot \left(\left(b \cdot t\_3 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t\_2\right)\\ t_6 := z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_1\right)\\ \mathbf{if}\;y5 \leq -7.2 \cdot 10^{+205}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq -4.4 \cdot 10^{+187}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -5 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -2.2 \cdot 10^{+60}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq -5 \cdot 10^{-55}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.55 \cdot 10^{-96}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y5 \leq -5.8 \cdot 10^{-202}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq 6.8 \cdot 10^{-301}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-92}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq 4.7 \cdot 10^{+122}:\\ \;\;\;\;y \cdot \left(x \cdot t\_1 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2 (- (* y y3) (* t y2)))
        (t_3 (- (* t j) (* y k)))
        (t_4 (* y5 (- (- (* y0 (- (* j y3) (* k y2))) (* i t_3)) (* a t_2))))
        (t_5 (* y4 (+ (+ (* b t_3) (* y1 (- (* k y2) (* j y3)))) (* c t_2))))
        (t_6 (* z (- (* y3 (- (* a y1) (* c y0))) (* t t_1)))))
   (if (<= y5 -7.2e+205)
     t_4
     (if (<= y5 -4.4e+187)
       (* k (* y5 (* y0 (- y2))))
       (if (<= y5 -5e+85)
         (* j (+ (* y3 (- (* y0 y5) (* y1 y4))) (* b (- (* t y4) (* x y0)))))
         (if (<= y5 -2.2e+60)
           t_5
           (if (<= y5 -5e-55)
             (*
              y2
              (+
               (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
               (* t (- (* a y5) (* c y4)))))
             (if (<= y5 -1.55e-96)
               t_6
               (if (<= y5 -5.8e-202)
                 t_5
                 (if (<= y5 6.8e-301)
                   t_6
                   (if (<= y5 2.6e-92)
                     t_5
                     (if (<= y5 4.7e+122)
                       (* y (+ (* x t_1) (* y3 (- (* c y4) (* a y5)))))
                       t_4))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = (y * y3) - (t * y2);
	double t_3 = (t * j) - (y * k);
	double t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_3)) - (a * t_2));
	double t_5 = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	double t_6 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	double tmp;
	if (y5 <= -7.2e+205) {
		tmp = t_4;
	} else if (y5 <= -4.4e+187) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y5 <= -5e+85) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else if (y5 <= -2.2e+60) {
		tmp = t_5;
	} else if (y5 <= -5e-55) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y5 <= -1.55e-96) {
		tmp = t_6;
	} else if (y5 <= -5.8e-202) {
		tmp = t_5;
	} else if (y5 <= 6.8e-301) {
		tmp = t_6;
	} else if (y5 <= 2.6e-92) {
		tmp = t_5;
	} else if (y5 <= 4.7e+122) {
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = (y * y3) - (t * y2)
    t_3 = (t * j) - (y * k)
    t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_3)) - (a * t_2))
    t_5 = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
    t_6 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1))
    if (y5 <= (-7.2d+205)) then
        tmp = t_4
    else if (y5 <= (-4.4d+187)) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y5 <= (-5d+85)) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
    else if (y5 <= (-2.2d+60)) then
        tmp = t_5
    else if (y5 <= (-5d-55)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y5 <= (-1.55d-96)) then
        tmp = t_6
    else if (y5 <= (-5.8d-202)) then
        tmp = t_5
    else if (y5 <= 6.8d-301) then
        tmp = t_6
    else if (y5 <= 2.6d-92) then
        tmp = t_5
    else if (y5 <= 4.7d+122) then
        tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))))
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = (y * y3) - (t * y2);
	double t_3 = (t * j) - (y * k);
	double t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_3)) - (a * t_2));
	double t_5 = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	double t_6 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	double tmp;
	if (y5 <= -7.2e+205) {
		tmp = t_4;
	} else if (y5 <= -4.4e+187) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y5 <= -5e+85) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else if (y5 <= -2.2e+60) {
		tmp = t_5;
	} else if (y5 <= -5e-55) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y5 <= -1.55e-96) {
		tmp = t_6;
	} else if (y5 <= -5.8e-202) {
		tmp = t_5;
	} else if (y5 <= 6.8e-301) {
		tmp = t_6;
	} else if (y5 <= 2.6e-92) {
		tmp = t_5;
	} else if (y5 <= 4.7e+122) {
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = (y * y3) - (t * y2)
	t_3 = (t * j) - (y * k)
	t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_3)) - (a * t_2))
	t_5 = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2))
	t_6 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1))
	tmp = 0
	if y5 <= -7.2e+205:
		tmp = t_4
	elif y5 <= -4.4e+187:
		tmp = k * (y5 * (y0 * -y2))
	elif y5 <= -5e+85:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
	elif y5 <= -2.2e+60:
		tmp = t_5
	elif y5 <= -5e-55:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y5 <= -1.55e-96:
		tmp = t_6
	elif y5 <= -5.8e-202:
		tmp = t_5
	elif y5 <= 6.8e-301:
		tmp = t_6
	elif y5 <= 2.6e-92:
		tmp = t_5
	elif y5 <= 4.7e+122:
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))))
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(Float64(y * y3) - Float64(t * y2))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(y5 * Float64(Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * t_3)) - Float64(a * t_2)))
	t_5 = Float64(y4 * Float64(Float64(Float64(b * t_3) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_2)))
	t_6 = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_1)))
	tmp = 0.0
	if (y5 <= -7.2e+205)
		tmp = t_4;
	elseif (y5 <= -4.4e+187)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y5 <= -5e+85)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(b * Float64(Float64(t * y4) - Float64(x * y0)))));
	elseif (y5 <= -2.2e+60)
		tmp = t_5;
	elseif (y5 <= -5e-55)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y5 <= -1.55e-96)
		tmp = t_6;
	elseif (y5 <= -5.8e-202)
		tmp = t_5;
	elseif (y5 <= 6.8e-301)
		tmp = t_6;
	elseif (y5 <= 2.6e-92)
		tmp = t_5;
	elseif (y5 <= 4.7e+122)
		tmp = Float64(y * Float64(Float64(x * t_1) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * b) - (c * i);
	t_2 = (y * y3) - (t * y2);
	t_3 = (t * j) - (y * k);
	t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_3)) - (a * t_2));
	t_5 = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * t_2));
	t_6 = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	tmp = 0.0;
	if (y5 <= -7.2e+205)
		tmp = t_4;
	elseif (y5 <= -4.4e+187)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y5 <= -5e+85)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	elseif (y5 <= -2.2e+60)
		tmp = t_5;
	elseif (y5 <= -5e-55)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y5 <= -1.55e-96)
		tmp = t_6;
	elseif (y5 <= -5.8e-202)
		tmp = t_5;
	elseif (y5 <= 6.8e-301)
		tmp = t_6;
	elseif (y5 <= 2.6e-92)
		tmp = t_5;
	elseif (y5 <= 4.7e+122)
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y5 * N[(N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$3), $MachinePrecision]), $MachinePrecision] - N[(a * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -7.2e+205], t$95$4, If[LessEqual[y5, -4.4e+187], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5e+85], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.2e+60], t$95$5, If[LessEqual[y5, -5e-55], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.55e-96], t$95$6, If[LessEqual[y5, -5.8e-202], t$95$5, If[LessEqual[y5, 6.8e-301], t$95$6, If[LessEqual[y5, 2.6e-92], t$95$5, If[LessEqual[y5, 4.7e+122], N[(y * N[(N[(x * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -7.20000000000000003e205 or 4.70000000000000023e122 < y5

   1. Initial program 18.9%

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

   3. Taylor expanded in y5 around -inf 61.0%

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

   if -7.20000000000000003e205 < y5 < -4.3999999999999997e187

   1. Initial program 11.1%

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

   3. Taylor expanded in k around inf 44.4%

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

   4. Taylor expanded in y5 around inf 77.8%

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

   5. Taylor expanded in y0 around inf 88.9%

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

      1. mul-1-neg 88.9%

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

      2. associate-*r* 88.9%

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

      3. distribute-lft-neg-out 88.9%

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

      4. *-commutative 88.9%

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

      5. distribute-lft-neg-in 88.9%

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

   7. Simplified 88.9%

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

   if -4.3999999999999997e187 < y5 < -5.0000000000000001e85

   1. Initial program 41.2%

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

   3. Taylor expanded in b around inf 37.9%

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

   4. Taylor expanded in j around inf 51.4%

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

   if -5.0000000000000001e85 < y5 < -2.19999999999999996e60 or -1.55e-96 < y5 < -5.79999999999999976e-202 or 6.8000000000000004e-301 < y5 < 2.6e-92

   1. Initial program 34.2%

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

   3. Taylor expanded in y4 around inf 62.0%

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

   if -2.19999999999999996e60 < y5 < -5.0000000000000002e-55

   1. Initial program 46.3%

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

   3. Taylor expanded in y2 around inf 61.7%

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

   if -5.0000000000000002e-55 < y5 < -1.55e-96 or -5.79999999999999976e-202 < y5 < 6.8000000000000004e-301

   1. Initial program 41.1%

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

   3. Taylor expanded in k around 0 31.7%

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

   4. Taylor expanded in z around -inf 70.9%

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

   if 2.6e-92 < y5 < 4.70000000000000023e122

   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 k around 0 22.2%

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

   4. Taylor expanded in y around inf 57.1%

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

      1. mul-1-neg 57.1%

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

   6. Simplified 57.1%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -7.2 \cdot 10^{+205}:\\ \;\;\;\;y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -4.4 \cdot 10^{+187}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -5 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -2.2 \cdot 10^{+60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -5 \cdot 10^{-55}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.55 \cdot 10^{-96}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -5.8 \cdot 10^{-202}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 6.8 \cdot 10^{-301}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-92}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4.7 \cdot 10^{+122}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 40.8% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := y \cdot y3 - t \cdot y2\\ t_4 := y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot t\_1\right) - a \cdot t\_3\right)\\ t_5 := y4 \cdot \left(\left(b \cdot t\_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t\_3\right)\\ t_6 := a \cdot b - c \cdot i\\ \mathbf{if}\;y5 \leq -1.06 \cdot 10^{+206}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq -1 \cdot 10^{+188}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -4 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -3.8 \cdot 10^{+64}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq -3.4 \cdot 10^{-66}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_2 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{-228}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot t\_2 + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 9.5 \cdot 10^{-301}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_6\right)\\ \mathbf{elif}\;y5 \leq 7.2 \cdot 10^{-91}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq 3.1 \cdot 10^{+123}:\\ \;\;\;\;y \cdot \left(x \cdot t\_6 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (- (* y y3) (* t y2)))
        (t_4 (* y5 (- (- (* y0 (- (* j y3) (* k y2))) (* i t_1)) (* a t_3))))
        (t_5 (* y4 (+ (+ (* b t_1) (* y1 (- (* k y2) (* j y3)))) (* c t_3))))
        (t_6 (- (* a b) (* c i))))
   (if (<= y5 -1.06e+206)
     t_4
     (if (<= y5 -1e+188)
       (* k (* y5 (* y0 (- y2))))
       (if (<= y5 -4e+85)
         (* j (+ (* y3 (- (* y0 y5) (* y1 y4))) (* b (- (* t y4) (* x y0)))))
         (if (<= y5 -3.8e+64)
           t_5
           (if (<= y5 -3.4e-66)
             (*
              y2
              (+
               (+ (* k t_2) (* x (- (* c y0) (* a y1))))
               (* t (- (* a y5) (* c y4)))))
             (if (<= y5 -5.5e-228)
               (*
                k
                (+
                 (+ (* y2 t_2) (* y (- (* i y5) (* b y4))))
                 (* z (- (* b y0) (* i y1)))))
               (if (<= y5 9.5e-301)
                 (* z (- (* y3 (- (* a y1) (* c y0))) (* t t_6)))
                 (if (<= y5 7.2e-91)
                   t_5
                   (if (<= y5 3.1e+123)
                     (* y (+ (* x t_6) (* y3 (- (* c y4) (* a y5)))))
                     t_4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (y * y3) - (t * y2);
	double t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_1)) - (a * t_3));
	double t_5 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3));
	double t_6 = (a * b) - (c * i);
	double tmp;
	if (y5 <= -1.06e+206) {
		tmp = t_4;
	} else if (y5 <= -1e+188) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y5 <= -4e+85) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else if (y5 <= -3.8e+64) {
		tmp = t_5;
	} else if (y5 <= -3.4e-66) {
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y5 <= -5.5e-228) {
		tmp = k * (((y2 * t_2) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	} else if (y5 <= 9.5e-301) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_6));
	} else if (y5 <= 7.2e-91) {
		tmp = t_5;
	} else if (y5 <= 3.1e+123) {
		tmp = y * ((x * t_6) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = (y * y3) - (t * y2)
    t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_1)) - (a * t_3))
    t_5 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3))
    t_6 = (a * b) - (c * i)
    if (y5 <= (-1.06d+206)) then
        tmp = t_4
    else if (y5 <= (-1d+188)) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y5 <= (-4d+85)) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
    else if (y5 <= (-3.8d+64)) then
        tmp = t_5
    else if (y5 <= (-3.4d-66)) then
        tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y5 <= (-5.5d-228)) then
        tmp = k * (((y2 * t_2) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))))
    else if (y5 <= 9.5d-301) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_6))
    else if (y5 <= 7.2d-91) then
        tmp = t_5
    else if (y5 <= 3.1d+123) then
        tmp = y * ((x * t_6) + (y3 * ((c * y4) - (a * y5))))
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (y * y3) - (t * y2);
	double t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_1)) - (a * t_3));
	double t_5 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3));
	double t_6 = (a * b) - (c * i);
	double tmp;
	if (y5 <= -1.06e+206) {
		tmp = t_4;
	} else if (y5 <= -1e+188) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y5 <= -4e+85) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else if (y5 <= -3.8e+64) {
		tmp = t_5;
	} else if (y5 <= -3.4e-66) {
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y5 <= -5.5e-228) {
		tmp = k * (((y2 * t_2) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	} else if (y5 <= 9.5e-301) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_6));
	} else if (y5 <= 7.2e-91) {
		tmp = t_5;
	} else if (y5 <= 3.1e+123) {
		tmp = y * ((x * t_6) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = (y * y3) - (t * y2)
	t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_1)) - (a * t_3))
	t_5 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3))
	t_6 = (a * b) - (c * i)
	tmp = 0
	if y5 <= -1.06e+206:
		tmp = t_4
	elif y5 <= -1e+188:
		tmp = k * (y5 * (y0 * -y2))
	elif y5 <= -4e+85:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
	elif y5 <= -3.8e+64:
		tmp = t_5
	elif y5 <= -3.4e-66:
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y5 <= -5.5e-228:
		tmp = k * (((y2 * t_2) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))))
	elif y5 <= 9.5e-301:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_6))
	elif y5 <= 7.2e-91:
		tmp = t_5
	elif y5 <= 3.1e+123:
		tmp = y * ((x * t_6) + (y3 * ((c * y4) - (a * y5))))
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(Float64(y * y3) - Float64(t * y2))
	t_4 = Float64(y5 * Float64(Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * t_1)) - Float64(a * t_3)))
	t_5 = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_3)))
	t_6 = Float64(Float64(a * b) - Float64(c * i))
	tmp = 0.0
	if (y5 <= -1.06e+206)
		tmp = t_4;
	elseif (y5 <= -1e+188)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y5 <= -4e+85)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(b * Float64(Float64(t * y4) - Float64(x * y0)))));
	elseif (y5 <= -3.8e+64)
		tmp = t_5;
	elseif (y5 <= -3.4e-66)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_2) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y5 <= -5.5e-228)
		tmp = Float64(k * Float64(Float64(Float64(y2 * t_2) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4)))) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (y5 <= 9.5e-301)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_6)));
	elseif (y5 <= 7.2e-91)
		tmp = t_5;
	elseif (y5 <= 3.1e+123)
		tmp = Float64(y * Float64(Float64(x * t_6) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = (y * y3) - (t * y2);
	t_4 = y5 * (((y0 * ((j * y3) - (k * y2))) - (i * t_1)) - (a * t_3));
	t_5 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3));
	t_6 = (a * b) - (c * i);
	tmp = 0.0;
	if (y5 <= -1.06e+206)
		tmp = t_4;
	elseif (y5 <= -1e+188)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y5 <= -4e+85)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	elseif (y5 <= -3.8e+64)
		tmp = t_5;
	elseif (y5 <= -3.4e-66)
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y5 <= -5.5e-228)
		tmp = k * (((y2 * t_2) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	elseif (y5 <= 9.5e-301)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_6));
	elseif (y5 <= 7.2e-91)
		tmp = t_5;
	elseif (y5 <= 3.1e+123)
		tmp = y * ((x * t_6) + (y3 * ((c * y4) - (a * y5))));
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y5 * N[(N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$1), $MachinePrecision]), $MachinePrecision] - N[(a * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.06e+206], t$95$4, If[LessEqual[y5, -1e+188], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4e+85], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.8e+64], t$95$5, If[LessEqual[y5, -3.4e-66], N[(y2 * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.5e-228], N[(k * N[(N[(N[(y2 * t$95$2), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.5e-301], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.2e-91], t$95$5, If[LessEqual[y5, 3.1e+123], N[(y * N[(N[(x * t$95$6), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y5 < -1.0599999999999999e206 or 3.10000000000000006e123 < y5

   1. Initial program 18.9%

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

   3. Taylor expanded in y5 around -inf 61.0%

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

   if -1.0599999999999999e206 < y5 < -1e188

   1. Initial program 11.1%

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

   3. Taylor expanded in k around inf 44.4%

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

   4. Taylor expanded in y5 around inf 77.8%

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

   5. Taylor expanded in y0 around inf 88.9%

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

      1. mul-1-neg 88.9%

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

      2. associate-*r* 88.9%

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

      3. distribute-lft-neg-out 88.9%

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

      4. *-commutative 88.9%

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

      5. distribute-lft-neg-in 88.9%

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

   7. Simplified 88.9%

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

   if -1e188 < y5 < -4.0000000000000001e85

   1. Initial program 41.2%

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

   3. Taylor expanded in b around inf 37.9%

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

   4. Taylor expanded in j around inf 51.4%

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

   if -4.0000000000000001e85 < y5 < -3.8000000000000001e64 or 9.50000000000000032e-301 < y5 < 7.2000000000000001e-91

   1. Initial program 29.8%

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

   3. Taylor expanded in y4 around inf 62.0%

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

   if -3.8000000000000001e64 < y5 < -3.39999999999999997e-66

   1. Initial program 42.3%

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

   3. Taylor expanded in y2 around inf 58.5%

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

   if -3.39999999999999997e-66 < y5 < -5.49999999999999952e-228

   1. Initial program 38.3%

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

   3. Taylor expanded in k around inf 62.4%

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

   if -5.49999999999999952e-228 < y5 < 9.50000000000000032e-301

   1. Initial program 56.3%

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

   3. Taylor expanded in k around 0 37.5%

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

   4. Taylor expanded in z around -inf 81.7%

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

   if 7.2000000000000001e-91 < y5 < 3.10000000000000006e123

   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 k around 0 22.2%

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

   4. Taylor expanded in y around inf 57.1%

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

      1. mul-1-neg 57.1%

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

   6. Simplified 57.1%

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

4. Final simplification 62.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.06 \cdot 10^{+206}:\\ \;\;\;\;y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1 \cdot 10^{+188}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -4 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -3.8 \cdot 10^{+64}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -3.4 \cdot 10^{-66}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{-228}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 9.5 \cdot 10^{-301}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 7.2 \cdot 10^{-91}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 3.1 \cdot 10^{+123}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(\left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 36.3% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;y5 \leq -1.45 \cdot 10^{+187}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -9.5 \cdot 10^{+145}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.45 \cdot 10^{+93}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_2\right)\\ \mathbf{elif}\;y5 \leq -9 \cdot 10^{+55}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq -2.65 \cdot 10^{-88}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_2\right)\\ \mathbf{elif}\;y5 \leq -3.6 \cdot 10^{-201}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-300}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_1\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{-90}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 1.02 \cdot 10^{+121}:\\ \;\;\;\;y \cdot \left(x \cdot t\_1 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right) + \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) - j \cdot \left(y3 \cdot y4\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2 (- (* a y5) (* c y4)))
        (t_3
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))))
   (if (<= y5 -1.45e+187)
     (* y0 (* y5 (- (* j y3) (* k y2))))
     (if (<= y5 -9.5e+145)
       (* j (+ (* y3 (- (* y0 y5) (* y1 y4))) (* b (- (* t y4) (* x y0)))))
       (if (<= y5 -1.45e+93)
         (* t (* y2 t_2))
         (if (<= y5 -9e+55)
           t_3
           (if (<= y5 -2.65e-88)
             (*
              y2
              (+
               (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
               (* t t_2)))
             (if (<= y5 -3.6e-201)
               t_3
               (if (<= y5 1.15e-300)
                 (* z (- (* y3 (- (* a y1) (* c y0))) (* t t_1)))
                 (if (<= y5 2.3e-90)
                   t_3
                   (if (<= y5 1.02e+121)
                     (* y (+ (* x t_1) (* y3 (- (* c y4) (* a y5)))))
                     (*
                      y1
                      (+
                       (* i (* x j))
                       (-
                        (* a (- (* z y3) (* x y2)))
                        (* j (* y3 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 = (a * b) - (c * i);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (y5 <= -1.45e+187) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y5 <= -9.5e+145) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else if (y5 <= -1.45e+93) {
		tmp = t * (y2 * t_2);
	} else if (y5 <= -9e+55) {
		tmp = t_3;
	} else if (y5 <= -2.65e-88) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (y5 <= -3.6e-201) {
		tmp = t_3;
	} else if (y5 <= 1.15e-300) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	} else if (y5 <= 2.3e-90) {
		tmp = t_3;
	} else if (y5 <= 1.02e+121) {
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = y1 * ((i * (x * j)) + ((a * ((z * y3) - (x * y2))) - (j * (y3 * 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 = (a * b) - (c * i)
    t_2 = (a * y5) - (c * y4)
    t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    if (y5 <= (-1.45d+187)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y5 <= (-9.5d+145)) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
    else if (y5 <= (-1.45d+93)) then
        tmp = t * (y2 * t_2)
    else if (y5 <= (-9d+55)) then
        tmp = t_3
    else if (y5 <= (-2.65d-88)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    else if (y5 <= (-3.6d-201)) then
        tmp = t_3
    else if (y5 <= 1.15d-300) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1))
    else if (y5 <= 2.3d-90) then
        tmp = t_3
    else if (y5 <= 1.02d+121) then
        tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))))
    else
        tmp = y1 * ((i * (x * j)) + ((a * ((z * y3) - (x * y2))) - (j * (y3 * 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 = (a * b) - (c * i);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (y5 <= -1.45e+187) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y5 <= -9.5e+145) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else if (y5 <= -1.45e+93) {
		tmp = t * (y2 * t_2);
	} else if (y5 <= -9e+55) {
		tmp = t_3;
	} else if (y5 <= -2.65e-88) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (y5 <= -3.6e-201) {
		tmp = t_3;
	} else if (y5 <= 1.15e-300) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	} else if (y5 <= 2.3e-90) {
		tmp = t_3;
	} else if (y5 <= 1.02e+121) {
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = y1 * ((i * (x * j)) + ((a * ((z * y3) - (x * y2))) - (j * (y3 * y4))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = (a * y5) - (c * y4)
	t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if y5 <= -1.45e+187:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y5 <= -9.5e+145:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
	elif y5 <= -1.45e+93:
		tmp = t * (y2 * t_2)
	elif y5 <= -9e+55:
		tmp = t_3
	elif y5 <= -2.65e-88:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	elif y5 <= -3.6e-201:
		tmp = t_3
	elif y5 <= 1.15e-300:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1))
	elif y5 <= 2.3e-90:
		tmp = t_3
	elif y5 <= 1.02e+121:
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))))
	else:
		tmp = y1 * ((i * (x * j)) + ((a * ((z * y3) - (x * y2))) - (j * (y3 * y4))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (y5 <= -1.45e+187)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y5 <= -9.5e+145)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(b * Float64(Float64(t * y4) - Float64(x * y0)))));
	elseif (y5 <= -1.45e+93)
		tmp = Float64(t * Float64(y2 * t_2));
	elseif (y5 <= -9e+55)
		tmp = t_3;
	elseif (y5 <= -2.65e-88)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)));
	elseif (y5 <= -3.6e-201)
		tmp = t_3;
	elseif (y5 <= 1.15e-300)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_1)));
	elseif (y5 <= 2.3e-90)
		tmp = t_3;
	elseif (y5 <= 1.02e+121)
		tmp = Float64(y * Float64(Float64(x * t_1) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	else
		tmp = Float64(y1 * Float64(Float64(i * Float64(x * j)) + Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) - Float64(j * Float64(y3 * 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 = (a * b) - (c * i);
	t_2 = (a * y5) - (c * y4);
	t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (y5 <= -1.45e+187)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y5 <= -9.5e+145)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	elseif (y5 <= -1.45e+93)
		tmp = t * (y2 * t_2);
	elseif (y5 <= -9e+55)
		tmp = t_3;
	elseif (y5 <= -2.65e-88)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	elseif (y5 <= -3.6e-201)
		tmp = t_3;
	elseif (y5 <= 1.15e-300)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_1));
	elseif (y5 <= 2.3e-90)
		tmp = t_3;
	elseif (y5 <= 1.02e+121)
		tmp = y * ((x * t_1) + (y3 * ((c * y4) - (a * y5))));
	else
		tmp = y1 * ((i * (x * j)) + ((a * ((z * y3) - (x * y2))) - (j * (y3 * y4))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.45e+187], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -9.5e+145], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.45e+93], N[(t * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -9e+55], t$95$3, If[LessEqual[y5, -2.65e-88], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.6e-201], t$95$3, If[LessEqual[y5, 1.15e-300], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.3e-90], t$95$3, If[LessEqual[y5, 1.02e+121], N[(y * N[(N[(x * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y1 * N[(N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y5 < -1.45e187

   1. Initial program 19.4%

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

   3. Taylor expanded in i around -inf 36.1%

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

   4. Taylor expanded in y0 around inf 56.3%

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

      1. mul-1-neg 56.3%

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

   6. Simplified 56.3%

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

   if -1.45e187 < y5 < -9.49999999999999948e145

   1. Initial program 41.5%

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

   3. Taylor expanded in b around inf 51.7%

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

   4. Taylor expanded in j around inf 67.4%

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

   if -9.49999999999999948e145 < y5 < -1.4499999999999999e93

   1. Initial program 43.9%

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

   3. Taylor expanded in y2 around inf 56.9%

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

   4. Taylor expanded in t around inf 71.9%

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

   if -1.4499999999999999e93 < y5 < -8.99999999999999996e55 or -2.65000000000000004e-88 < y5 < -3.60000000000000031e-201 or 1.15e-300 < y5 < 2.2999999999999998e-90

   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 y4 around inf 60.6%

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

   if -8.99999999999999996e55 < y5 < -2.65000000000000004e-88

   1. Initial program 44.3%

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

   3. Taylor expanded in y2 around inf 56.4%

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

   if -3.60000000000000031e-201 < y5 < 1.15e-300

   1. Initial program 45.8%

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

   3. Taylor expanded in k around 0 33.3%

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

   4. Taylor expanded in z around -inf 71.2%

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

   if 2.2999999999999998e-90 < y5 < 1.02000000000000005e121

   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 k around 0 22.2%

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

   4. Taylor expanded in y around inf 57.1%

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

      1. mul-1-neg 57.1%

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

   6. Simplified 57.1%

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

   if 1.02000000000000005e121 < y5

   1. Initial program 15.4%

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

   3. Taylor expanded in k around 0 15.4%

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

   4. Taylor expanded in y1 around -inf 50.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + j \cdot \left(y3 \cdot y4\right)\right) - i \cdot \left(j \cdot x\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 59.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.45 \cdot 10^{+187}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -9.5 \cdot 10^{+145}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.45 \cdot 10^{+93}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -9 \cdot 10^{+55}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -2.65 \cdot 10^{-88}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -3.6 \cdot 10^{-201}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-300}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{-90}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.02 \cdot 10^{+121}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right) + \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) - j \cdot \left(y3 \cdot y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 38.6% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;z \leq -9.8 \cdot 10^{+50}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-62}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - j \cdot \left(t \cdot y5\right)\right)\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-122}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -4.45 \cdot 10^{-187}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -5.3 \cdot 10^{-266}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-210}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{+74}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= z -9.8e+50)
     (* k (* z (- (* b y0) (* i y1))))
     (if (<= z -9.5e-62)
       (* i (+ (* j (* x y1)) (- (* c (- (* z t) (* x y))) (* j (* t y5)))))
       (if (<= z -3e-122)
         (* k (* y5 (- (* y i) (* y0 y2))))
         (if (<= z -4.45e-187)
           (*
            y5
            (- (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* y y3) (* t y2)))))
           (if (<= z -5.3e-266)
             t_1
             (if (<= z 4.8e-210)
               (*
                y5
                (- (* y0 (- (* j y3) (* k y2))) (* i (- (* t j) (* y k)))))
               (if (<= z 1.8e+74)
                 t_1
                 (*
                  z
                  (-
                   (* y3 (- (* a y1) (* c y0)))
                   (* t (- (* a b) (* c i))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (z <= -9.8e+50) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (z <= -9.5e-62) {
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	} else if (z <= -3e-122) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (z <= -4.45e-187) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))));
	} else if (z <= -5.3e-266) {
		tmp = t_1;
	} else if (z <= 4.8e-210) {
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	} else if (z <= 1.8e+74) {
		tmp = t_1;
	} else {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    if (z <= (-9.8d+50)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (z <= (-9.5d-62)) then
        tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))))
    else if (z <= (-3d-122)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (z <= (-4.45d-187)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))))
    else if (z <= (-5.3d-266)) then
        tmp = t_1
    else if (z <= 4.8d-210) then
        tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))))
    else if (z <= 1.8d+74) then
        tmp = t_1
    else
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (z <= -9.8e+50) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (z <= -9.5e-62) {
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	} else if (z <= -3e-122) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (z <= -4.45e-187) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))));
	} else if (z <= -5.3e-266) {
		tmp = t_1;
	} else if (z <= 4.8e-210) {
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	} else if (z <= 1.8e+74) {
		tmp = t_1;
	} else {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if z <= -9.8e+50:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif z <= -9.5e-62:
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))))
	elif z <= -3e-122:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif z <= -4.45e-187:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))))
	elif z <= -5.3e-266:
		tmp = t_1
	elif z <= 4.8e-210:
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))))
	elif z <= 1.8e+74:
		tmp = t_1
	else:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (z <= -9.8e+50)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (z <= -9.5e-62)
		tmp = Float64(i * Float64(Float64(j * Float64(x * y1)) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(j * Float64(t * y5)))));
	elseif (z <= -3e-122)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (z <= -4.45e-187)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) - Float64(a * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (z <= -5.3e-266)
		tmp = t_1;
	elseif (z <= 4.8e-210)
		tmp = Float64(y5 * Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * Float64(Float64(t * j) - Float64(y * k)))));
	elseif (z <= 1.8e+74)
		tmp = t_1;
	else
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * Float64(Float64(a * b) - Float64(c * i)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (z <= -9.8e+50)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (z <= -9.5e-62)
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	elseif (z <= -3e-122)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (z <= -4.45e-187)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))));
	elseif (z <= -5.3e-266)
		tmp = t_1;
	elseif (z <= 4.8e-210)
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	elseif (z <= 1.8e+74)
		tmp = t_1;
	else
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -9.8e+50], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -9.5e-62], N[(i * N[(N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3e-122], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -4.45e-187], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -5.3e-266], t$95$1, If[LessEqual[z, 4.8e-210], N[(y5 * N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.8e+74], t$95$1, N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if z < -9.8000000000000003e50

   1. Initial program 26.0%

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

   3. Taylor expanded in k around inf 39.5%

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

   4. Taylor expanded in z around inf 57.2%

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

   if -9.8000000000000003e50 < z < -9.49999999999999951e-62

   1. Initial program 28.4%

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

   3. Taylor expanded in k around 0 28.7%

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

   4. Taylor expanded in i around -inf 57.4%

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

   if -9.49999999999999951e-62 < z < -3.00000000000000004e-122

   1. Initial program 44.2%

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

   3. Taylor expanded in k around inf 50.8%

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

   4. Taylor expanded in y5 around inf 57.2%

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

   if -3.00000000000000004e-122 < z < -4.4500000000000002e-187

   1. Initial program 19.2%

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

   3. Taylor expanded in k around 0 12.9%

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

   4. Taylor expanded in y5 around inf 57.2%

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

   if -4.4500000000000002e-187 < z < -5.3000000000000003e-266 or 4.80000000000000008e-210 < z < 1.79999999999999994e74

   1. Initial program 39.7%

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

   3. Taylor expanded in y2 around inf 56.8%

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

   if -5.3000000000000003e-266 < z < 4.80000000000000008e-210

   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 i around -inf 51.9%

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

   4. Taylor expanded in y5 around -inf 52.2%

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

   if 1.79999999999999994e74 < z

   1. Initial program 22.9%

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

   3. Taylor expanded in k around 0 16.8%

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

   4. Taylor expanded in z around -inf 55.6%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(t \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 56.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -9.8 \cdot 10^{+50}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-62}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - j \cdot \left(t \cdot y5\right)\right)\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-122}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -4.45 \cdot 10^{-187}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -5.3 \cdot 10^{-266}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-210}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{+74}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 32.8% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -1.1 \cdot 10^{+211}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -4.1 \cdot 10^{+93}:\\ \;\;\;\;b \cdot \left(\left(j \cdot \left(t \cdot y4\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) - j \cdot \left(x \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -4 \cdot 10^{-133}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -2.06 \cdot 10^{-196}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{-308}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-256}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-134}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{-36}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-10}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{+179}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= b -1.1e+211)
   (* y4 (* b (- (* t j) (* y k))))
   (if (<= b -4.1e+93)
     (* b (- (- (* j (* t y4)) (* a (- (* z t) (* x y)))) (* j (* x y0))))
     (if (<= b -4e-133)
       (* y2 (* k (- (* y1 y4) (* y0 y5))))
       (if (<= b -2.06e-196)
         (* z (- (* y3 (- (* a y1) (* c y0))) (* t (- (* a b) (* c i)))))
         (if (<= b -4.3e-308)
           (* y2 (* c (- (* x y0) (* t y4))))
           (if (<= b 1.6e-256)
             (* y0 (* y5 (- (* j y3) (* k y2))))
             (if (<= b 5e-134)
               (* y2 (* y4 (- (* k y1) (* t c))))
               (if (<= b 4.6e-36)
                 (* a (* y2 (- (* t y5) (* x y1))))
                 (if (<= b 6e-10)
                   (* c (* y4 (- (* y y3) (* t y2))))
                   (if (<= b 1.05e+179)
                     (* k (* z (- (* b y0) (* i y1))))
                     (* (* a b) (- (* x y) (* z t))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (b <= -1.1e+211) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -4.1e+93) {
		tmp = b * (((j * (t * y4)) - (a * ((z * t) - (x * y)))) - (j * (x * y0)));
	} else if (b <= -4e-133) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (b <= -2.06e-196) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	} else if (b <= -4.3e-308) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (b <= 1.6e-256) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= 5e-134) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (b <= 4.6e-36) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (b <= 6e-10) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (b <= 1.05e+179) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else {
		tmp = (a * b) * ((x * y) - (z * t));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (b <= (-1.1d+211)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-4.1d+93)) then
        tmp = b * (((j * (t * y4)) - (a * ((z * t) - (x * y)))) - (j * (x * y0)))
    else if (b <= (-4d-133)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (b <= (-2.06d-196)) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
    else if (b <= (-4.3d-308)) then
        tmp = y2 * (c * ((x * y0) - (t * y4)))
    else if (b <= 1.6d-256) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (b <= 5d-134) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (b <= 4.6d-36) then
        tmp = a * (y2 * ((t * y5) - (x * y1)))
    else if (b <= 6d-10) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (b <= 1.05d+179) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else
        tmp = (a * b) * ((x * y) - (z * t))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (b <= -1.1e+211) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -4.1e+93) {
		tmp = b * (((j * (t * y4)) - (a * ((z * t) - (x * y)))) - (j * (x * y0)));
	} else if (b <= -4e-133) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (b <= -2.06e-196) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	} else if (b <= -4.3e-308) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (b <= 1.6e-256) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= 5e-134) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (b <= 4.6e-36) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (b <= 6e-10) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (b <= 1.05e+179) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else {
		tmp = (a * b) * ((x * y) - (z * t));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if b <= -1.1e+211:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -4.1e+93:
		tmp = b * (((j * (t * y4)) - (a * ((z * t) - (x * y)))) - (j * (x * y0)))
	elif b <= -4e-133:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif b <= -2.06e-196:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
	elif b <= -4.3e-308:
		tmp = y2 * (c * ((x * y0) - (t * y4)))
	elif b <= 1.6e-256:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif b <= 5e-134:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif b <= 4.6e-36:
		tmp = a * (y2 * ((t * y5) - (x * y1)))
	elif b <= 6e-10:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif b <= 1.05e+179:
		tmp = k * (z * ((b * y0) - (i * y1)))
	else:
		tmp = (a * b) * ((x * y) - (z * t))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (b <= -1.1e+211)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -4.1e+93)
		tmp = Float64(b * Float64(Float64(Float64(j * Float64(t * y4)) - Float64(a * Float64(Float64(z * t) - Float64(x * y)))) - Float64(j * Float64(x * y0))));
	elseif (b <= -4e-133)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (b <= -2.06e-196)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * Float64(Float64(a * b) - Float64(c * i)))));
	elseif (b <= -4.3e-308)
		tmp = Float64(y2 * Float64(c * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (b <= 1.6e-256)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (b <= 5e-134)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (b <= 4.6e-36)
		tmp = Float64(a * Float64(y2 * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (b <= 6e-10)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (b <= 1.05e+179)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	else
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (b <= -1.1e+211)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -4.1e+93)
		tmp = b * (((j * (t * y4)) - (a * ((z * t) - (x * y)))) - (j * (x * y0)));
	elseif (b <= -4e-133)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (b <= -2.06e-196)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	elseif (b <= -4.3e-308)
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	elseif (b <= 1.6e-256)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (b <= 5e-134)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (b <= 4.6e-36)
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	elseif (b <= 6e-10)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (b <= 1.05e+179)
		tmp = k * (z * ((b * y0) - (i * y1)));
	else
		tmp = (a * b) * ((x * y) - (z * t));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[b, -1.1e+211], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.1e+93], N[(b * N[(N[(N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4e-133], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.06e-196], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.3e-308], N[(y2 * N[(c * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.6e-256], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5e-134], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.6e-36], N[(a * N[(y2 * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6e-10], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.05e+179], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if b < -1.10000000000000002e211

   1. Initial program 20.0%

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

   3. Taylor expanded in y4 around inf 65.1%

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

   4. Taylor expanded in b around inf 80.1%

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

   if -1.10000000000000002e211 < b < -4.1000000000000001e93

   1. Initial program 13.0%

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

   3. Taylor expanded in k around 0 13.0%

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

   4. Taylor expanded in b around inf 61.5%

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

   if -4.1000000000000001e93 < b < -4.0000000000000003e-133

   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 y2 around inf 43.4%

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

   4. Taylor expanded in k around inf 50.2%

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

   if -4.0000000000000003e-133 < b < -2.0600000000000001e-196

   1. Initial program 52.9%

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

   3. Taylor expanded in k around 0 47.1%

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

   4. Taylor expanded in z around -inf 53.6%

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

   if -2.0600000000000001e-196 < b < -4.3000000000000002e-308

   1. Initial program 41.7%

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

   3. Taylor expanded in y2 around inf 39.2%

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

   4. Taylor expanded in c around inf 49.2%

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

   if -4.3000000000000002e-308 < b < 1.6e-256

   1. Initial program 39.7%

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

   3. Taylor expanded in i around -inf 40.5%

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

   4. Taylor expanded in y0 around inf 60.6%

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

      1. mul-1-neg 60.6%

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

   6. Simplified 60.6%

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

   if 1.6e-256 < b < 5.0000000000000003e-134

   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 y4 around inf 36.7%

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

   4. Taylor expanded in y2 around inf 44.0%

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

   if 5.0000000000000003e-134 < b < 4.59999999999999993e-36

   1. Initial program 37.4%

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

   3. Taylor expanded in y2 around inf 44.9%

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

   4. Taylor expanded in a around -inf 51.1%

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

      1. mul-1-neg 51.1%

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

   6. Simplified 51.1%

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

   if 4.59999999999999993e-36 < b < 6e-10

   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 y4 around inf 50.9%

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

   4. Taylor expanded in c around inf 75.4%

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

   if 6e-10 < b < 1.0499999999999999e179

   1. Initial program 32.2%

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

   3. Taylor expanded in k around inf 41.9%

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

   4. Taylor expanded in z around inf 53.9%

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

   if 1.0499999999999999e179 < b

   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 b around inf 57.7%

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

   4. Taylor expanded in a around inf 69.5%

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

      1. associate-*r* 62.3%

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

   6. Simplified 62.3%

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

4. Final simplification 55.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.1 \cdot 10^{+211}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -4.1 \cdot 10^{+93}:\\ \;\;\;\;b \cdot \left(\left(j \cdot \left(t \cdot y4\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) - j \cdot \left(x \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -4 \cdot 10^{-133}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -2.06 \cdot 10^{-196}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{-308}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-256}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-134}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{-36}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-10}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{+179}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 35.6% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -1.6 \cdot 10^{+51}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -1.9 \cdot 10^{-60}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - j \cdot \left(t \cdot y5\right)\right)\right)\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-120}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-197}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-121}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{-70}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{+43}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{+136}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= z -1.6e+51)
   (* k (* z (- (* b y0) (* i y1))))
   (if (<= z -1.9e-60)
     (* i (+ (* j (* x y1)) (- (* c (- (* z t) (* x y))) (* j (* t y5)))))
     (if (<= z -1.7e-120)
       (* k (* y5 (- (* y i) (* y0 y2))))
       (if (<= z -1.3e-197)
         (*
          y5
          (- (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* y y3) (* t y2)))))
         (if (<= z 1.4e-121)
           (* y1 (* y4 (* k (- y2 (* j (/ y3 k))))))
           (if (<= z 6.6e-70)
             (* t (* y2 (- (* a y5) (* c y4))))
             (if (<= z 3.5e+43)
               (* y2 (* x (- (* c y0) (* a y1))))
               (if (<= z 5.6e+136)
                 (*
                  j
                  (+
                   (* y3 (- (* y0 y5) (* y1 y4)))
                   (* b (- (* t y4) (* x y0)))))
                 (*
                  z
                  (-
                   (* y3 (- (* a y1) (* c y0)))
                   (* t (- (* a b) (* c i))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (z <= -1.6e+51) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (z <= -1.9e-60) {
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	} else if (z <= -1.7e-120) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (z <= -1.3e-197) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))));
	} else if (z <= 1.4e-121) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (z <= 6.6e-70) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (z <= 3.5e+43) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (z <= 5.6e+136) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (z <= (-1.6d+51)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (z <= (-1.9d-60)) then
        tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))))
    else if (z <= (-1.7d-120)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (z <= (-1.3d-197)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))))
    else if (z <= 1.4d-121) then
        tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
    else if (z <= 6.6d-70) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (z <= 3.5d+43) then
        tmp = y2 * (x * ((c * y0) - (a * y1)))
    else if (z <= 5.6d+136) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
    else
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (z <= -1.6e+51) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (z <= -1.9e-60) {
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	} else if (z <= -1.7e-120) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (z <= -1.3e-197) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))));
	} else if (z <= 1.4e-121) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (z <= 6.6e-70) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (z <= 3.5e+43) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (z <= 5.6e+136) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if z <= -1.6e+51:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif z <= -1.9e-60:
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))))
	elif z <= -1.7e-120:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif z <= -1.3e-197:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))))
	elif z <= 1.4e-121:
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
	elif z <= 6.6e-70:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif z <= 3.5e+43:
		tmp = y2 * (x * ((c * y0) - (a * y1)))
	elif z <= 5.6e+136:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
	else:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (z <= -1.6e+51)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (z <= -1.9e-60)
		tmp = Float64(i * Float64(Float64(j * Float64(x * y1)) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(j * Float64(t * y5)))));
	elseif (z <= -1.7e-120)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (z <= -1.3e-197)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) - Float64(a * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (z <= 1.4e-121)
		tmp = Float64(y1 * Float64(y4 * Float64(k * Float64(y2 - Float64(j * Float64(y3 / k))))));
	elseif (z <= 6.6e-70)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (z <= 3.5e+43)
		tmp = Float64(y2 * Float64(x * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (z <= 5.6e+136)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(b * Float64(Float64(t * y4) - Float64(x * y0)))));
	else
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * Float64(Float64(a * b) - Float64(c * i)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (z <= -1.6e+51)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (z <= -1.9e-60)
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	elseif (z <= -1.7e-120)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (z <= -1.3e-197)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) - (a * ((y * y3) - (t * y2))));
	elseif (z <= 1.4e-121)
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	elseif (z <= 6.6e-70)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (z <= 3.5e+43)
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	elseif (z <= 5.6e+136)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	else
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[z, -1.6e+51], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.9e-60], N[(i * N[(N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.7e-120], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.3e-197], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.4e-121], N[(y1 * N[(y4 * N[(k * N[(y2 - N[(j * N[(y3 / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 6.6e-70], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.5e+43], N[(y2 * N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 5.6e+136], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if z < -1.6000000000000001e51

   1. Initial program 26.0%

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

   3. Taylor expanded in k around inf 39.5%

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

   4. Taylor expanded in z around inf 57.2%

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

   if -1.6000000000000001e51 < z < -1.89999999999999997e-60

   1. Initial program 28.4%

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

   3. Taylor expanded in k around 0 28.7%

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

   4. Taylor expanded in i around -inf 57.4%

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

   if -1.89999999999999997e-60 < z < -1.70000000000000005e-120

   1. Initial program 44.2%

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

   3. Taylor expanded in k around inf 50.8%

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

   4. Taylor expanded in y5 around inf 57.2%

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

   if -1.70000000000000005e-120 < z < -1.3000000000000001e-197

   1. Initial program 33.7%

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

   3. Taylor expanded in k around 0 28.9%

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

   4. Taylor expanded in y5 around inf 53.0%

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

   if -1.3000000000000001e-197 < z < 1.4000000000000001e-121

   1. Initial program 39.1%

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

   3. Taylor expanded in y4 around inf 41.3%

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

   4. Taylor expanded in y1 around inf 41.8%

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

   5. Taylor expanded in k around inf 43.4%

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

      1. mul-1-neg 43.4%

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

      2. unsub-neg 43.4%

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

      3. associate-/l* 43.4%

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

   7. Simplified 43.4%

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

   if 1.4000000000000001e-121 < z < 6.60000000000000033e-70

   1. Initial program 62.5%

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

   3. Taylor expanded in y2 around inf 75.0%

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

   4. Taylor expanded in t around inf 100.0%

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

   if 6.60000000000000033e-70 < z < 3.5000000000000001e43

   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 y2 around inf 54.1%

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

   4. Taylor expanded in x around inf 47.1%

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

   if 3.5000000000000001e43 < z < 5.6000000000000004e136

   1. Initial program 23.1%

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

   3. Taylor expanded in b around inf 58.0%

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

   4. Taylor expanded in j around inf 61.9%

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

   if 5.6000000000000004e136 < z

   1. Initial program 21.2%

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

   3. Taylor expanded in k around 0 15.4%

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

   4. Taylor expanded in z around -inf 56.4%

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

4. Final simplification 54.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.6 \cdot 10^{+51}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -1.9 \cdot 10^{-60}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - j \cdot \left(t \cdot y5\right)\right)\right)\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-120}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-197}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) - a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-121}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{-70}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{+43}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{+136}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 35.1% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;z \leq -3.6 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-97}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - j \cdot \left(t \cdot y5\right)\right)\right)\\ \mathbf{elif}\;z \leq -5.9 \cdot 10^{-145}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-198}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{-121}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-75}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{+43}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{+136}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4))))))
   (if (<= z -3.6e+48)
     (* k (* z (- (* b y0) (* i y1))))
     (if (<= z -6.5e-97)
       (* i (+ (* j (* x y1)) (- (* c (- (* z t) (* x y))) (* j (* t y5)))))
       (if (<= z -5.9e-145)
         (* y2 (* c (- (* x y0) (* t y4))))
         (if (<= z -2.8e-198)
           t_1
           (if (<= z 4.4e-121)
             (* y1 (* y4 (* k (- y2 (* j (/ y3 k))))))
             (if (<= z 1.45e-75)
               t_1
               (if (<= z 1.7e+43)
                 (* y2 (* x (- (* c y0) (* a y1))))
                 (if (<= z 4.6e+136)
                   (*
                    j
                    (+
                     (* y3 (- (* y0 y5) (* y1 y4)))
                     (* b (- (* t y4) (* x y0)))))
                   (*
                    z
                    (-
                     (* y3 (- (* a y1) (* c y0)))
                     (* t (- (* a b) (* c i)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (z <= -3.6e+48) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (z <= -6.5e-97) {
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	} else if (z <= -5.9e-145) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (z <= -2.8e-198) {
		tmp = t_1;
	} else if (z <= 4.4e-121) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (z <= 1.45e-75) {
		tmp = t_1;
	} else if (z <= 1.7e+43) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (z <= 4.6e+136) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = t * (y2 * ((a * y5) - (c * y4)))
    if (z <= (-3.6d+48)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (z <= (-6.5d-97)) then
        tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))))
    else if (z <= (-5.9d-145)) then
        tmp = y2 * (c * ((x * y0) - (t * y4)))
    else if (z <= (-2.8d-198)) then
        tmp = t_1
    else if (z <= 4.4d-121) then
        tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
    else if (z <= 1.45d-75) then
        tmp = t_1
    else if (z <= 1.7d+43) then
        tmp = y2 * (x * ((c * y0) - (a * y1)))
    else if (z <= 4.6d+136) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
    else
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (z <= -3.6e+48) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (z <= -6.5e-97) {
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	} else if (z <= -5.9e-145) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (z <= -2.8e-198) {
		tmp = t_1;
	} else if (z <= 4.4e-121) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (z <= 1.45e-75) {
		tmp = t_1;
	} else if (z <= 1.7e+43) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (z <= 4.6e+136) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	} else {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	tmp = 0
	if z <= -3.6e+48:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif z <= -6.5e-97:
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))))
	elif z <= -5.9e-145:
		tmp = y2 * (c * ((x * y0) - (t * y4)))
	elif z <= -2.8e-198:
		tmp = t_1
	elif z <= 4.4e-121:
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
	elif z <= 1.45e-75:
		tmp = t_1
	elif z <= 1.7e+43:
		tmp = y2 * (x * ((c * y0) - (a * y1)))
	elif z <= 4.6e+136:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
	else:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	tmp = 0.0
	if (z <= -3.6e+48)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (z <= -6.5e-97)
		tmp = Float64(i * Float64(Float64(j * Float64(x * y1)) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(j * Float64(t * y5)))));
	elseif (z <= -5.9e-145)
		tmp = Float64(y2 * Float64(c * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (z <= -2.8e-198)
		tmp = t_1;
	elseif (z <= 4.4e-121)
		tmp = Float64(y1 * Float64(y4 * Float64(k * Float64(y2 - Float64(j * Float64(y3 / k))))));
	elseif (z <= 1.45e-75)
		tmp = t_1;
	elseif (z <= 1.7e+43)
		tmp = Float64(y2 * Float64(x * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (z <= 4.6e+136)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(b * Float64(Float64(t * y4) - Float64(x * y0)))));
	else
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * Float64(Float64(a * b) - Float64(c * i)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (y2 * ((a * y5) - (c * y4)));
	tmp = 0.0;
	if (z <= -3.6e+48)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (z <= -6.5e-97)
		tmp = i * ((j * (x * y1)) + ((c * ((z * t) - (x * y))) - (j * (t * y5))));
	elseif (z <= -5.9e-145)
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	elseif (z <= -2.8e-198)
		tmp = t_1;
	elseif (z <= 4.4e-121)
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	elseif (z <= 1.45e-75)
		tmp = t_1;
	elseif (z <= 1.7e+43)
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	elseif (z <= 4.6e+136)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	else
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * ((a * b) - (c * i))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3.6e+48], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -6.5e-97], N[(i * N[(N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -5.9e-145], N[(y2 * N[(c * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2.8e-198], t$95$1, If[LessEqual[z, 4.4e-121], N[(y1 * N[(y4 * N[(k * N[(y2 - N[(j * N[(y3 / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.45e-75], t$95$1, If[LessEqual[z, 1.7e+43], N[(y2 * N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.6e+136], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if z < -3.59999999999999983e48

   1. Initial program 26.0%

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

   3. Taylor expanded in k around inf 39.5%

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

   4. Taylor expanded in z around inf 57.2%

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

   if -3.59999999999999983e48 < z < -6.5000000000000004e-97

   1. Initial program 31.1%

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

   3. Taylor expanded in k around 0 34.5%

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

   4. Taylor expanded in i around -inf 50.7%

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

   if -6.5000000000000004e-97 < z < -5.8999999999999998e-145

   1. Initial program 34.1%

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

   3. Taylor expanded in y2 around inf 34.0%

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

   4. Taylor expanded in c around inf 58.8%

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

   if -5.8999999999999998e-145 < z < -2.7999999999999999e-198 or 4.40000000000000042e-121 < z < 1.4500000000000001e-75

   1. Initial program 50.3%

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

   3. Taylor expanded in y2 around inf 59.8%

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

   4. Taylor expanded in t around inf 73.2%

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

   if -2.7999999999999999e-198 < z < 4.40000000000000042e-121

   1. Initial program 39.1%

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

   3. Taylor expanded in y4 around inf 41.3%

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

   4. Taylor expanded in y1 around inf 41.8%

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

   5. Taylor expanded in k around inf 43.4%

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

      1. mul-1-neg 43.4%

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

      2. unsub-neg 43.4%

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

      3. associate-/l* 43.4%

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

   7. Simplified 43.4%

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

   if 1.4500000000000001e-75 < z < 1.70000000000000006e43

   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 y2 around inf 54.1%

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

   4. Taylor expanded in x around inf 47.1%

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

   if 1.70000000000000006e43 < z < 4.6e136

   1. Initial program 23.1%

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

   3. Taylor expanded in b around inf 58.0%

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

   4. Taylor expanded in j around inf 61.9%

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

   if 4.6e136 < z

   1. Initial program 21.2%

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

   3. Taylor expanded in k around 0 15.4%

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

   4. Taylor expanded in z around -inf 56.4%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(t \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 54.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -3.6 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-97}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - j \cdot \left(t \cdot y5\right)\right)\right)\\ \mathbf{elif}\;z \leq -5.9 \cdot 10^{-145}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-198}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{-121}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-75}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{+43}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{+136}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 29.5% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -7 \cdot 10^{+68}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.05 \cdot 10^{+15}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y1 \leq -5.2 \cdot 10^{-8}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -2.5 \cdot 10^{-74}:\\ \;\;\;\;y2 \cdot \left(y1 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -2.95 \cdot 10^{-155}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 6.8 \cdot 10^{-282}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 1.55 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 8.2 \cdot 10^{-166}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 3.6 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -7e+68)
   (* y1 (* y4 (* k (- y2 (* j (/ y3 k))))))
   (if (<= y1 -1.05e+15)
     (* i (* x (- (* j y1) (* y c))))
     (if (<= y1 -5.2e-8)
       (* y2 (* k (- (* y1 y4) (* y0 y5))))
       (if (<= y1 -2.5e-74)
         (* y2 (* y1 (- (* k y4) (* x a))))
         (if (<= y1 -2.95e-155)
           (* k (* y5 (* y0 (- y2))))
           (if (<= y1 6.8e-282)
             (* (* a b) (- (* x y) (* z t)))
             (if (<= y1 1.55e-194)
               (* c (* y4 (- (* y y3) (* t y2))))
               (if (<= y1 8.2e-166)
                 (* i (* z (- (* t c) (* k y1))))
                 (if (<= y1 3.6e-27)
                   (* y (* y4 (- (* c y3) (* b k))))
                   (* y2 (* y4 (- (* k y1) (* t 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 tmp;
	if (y1 <= -7e+68) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -1.05e+15) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y1 <= -5.2e-8) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= -2.5e-74) {
		tmp = y2 * (y1 * ((k * y4) - (x * a)));
	} else if (y1 <= -2.95e-155) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= 6.8e-282) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 1.55e-194) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 8.2e-166) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y1 <= 3.6e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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) :: tmp
    if (y1 <= (-7d+68)) then
        tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
    else if (y1 <= (-1.05d+15)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (y1 <= (-5.2d-8)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (y1 <= (-2.5d-74)) then
        tmp = y2 * (y1 * ((k * y4) - (x * a)))
    else if (y1 <= (-2.95d-155)) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y1 <= 6.8d-282) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= 1.55d-194) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y1 <= 8.2d-166) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y1 <= 3.6d-27) then
        tmp = y * (y4 * ((c * y3) - (b * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 tmp;
	if (y1 <= -7e+68) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -1.05e+15) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y1 <= -5.2e-8) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= -2.5e-74) {
		tmp = y2 * (y1 * ((k * y4) - (x * a)));
	} else if (y1 <= -2.95e-155) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= 6.8e-282) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 1.55e-194) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 8.2e-166) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y1 <= 3.6e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -7e+68:
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
	elif y1 <= -1.05e+15:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif y1 <= -5.2e-8:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif y1 <= -2.5e-74:
		tmp = y2 * (y1 * ((k * y4) - (x * a)))
	elif y1 <= -2.95e-155:
		tmp = k * (y5 * (y0 * -y2))
	elif y1 <= 6.8e-282:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= 1.55e-194:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y1 <= 8.2e-166:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y1 <= 3.6e-27:
		tmp = y * (y4 * ((c * y3) - (b * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -7e+68)
		tmp = Float64(y1 * Float64(y4 * Float64(k * Float64(y2 - Float64(j * Float64(y3 / k))))));
	elseif (y1 <= -1.05e+15)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (y1 <= -5.2e-8)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y1 <= -2.5e-74)
		tmp = Float64(y2 * Float64(y1 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y1 <= -2.95e-155)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y1 <= 6.8e-282)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= 1.55e-194)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y1 <= 8.2e-166)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y1 <= 3.6e-27)
		tmp = Float64(y * Float64(y4 * Float64(Float64(c * y3) - Float64(b * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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)
	tmp = 0.0;
	if (y1 <= -7e+68)
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	elseif (y1 <= -1.05e+15)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (y1 <= -5.2e-8)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (y1 <= -2.5e-74)
		tmp = y2 * (y1 * ((k * y4) - (x * a)));
	elseif (y1 <= -2.95e-155)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y1 <= 6.8e-282)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= 1.55e-194)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y1 <= 8.2e-166)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y1 <= 3.6e-27)
		tmp = y * (y4 * ((c * y3) - (b * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -7e+68], N[(y1 * N[(y4 * N[(k * N[(y2 - N[(j * N[(y3 / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.05e+15], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -5.2e-8], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2.5e-74], N[(y2 * N[(y1 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2.95e-155], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 6.8e-282], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.55e-194], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 8.2e-166], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.6e-27], N[(y * N[(y4 * N[(N[(c * y3), $MachinePrecision] - N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y1 < -6.99999999999999955e68

   1. Initial program 30.4%

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

   3. Taylor expanded in y4 around inf 46.1%

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

   4. Taylor expanded in y1 around inf 46.5%

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

   5. Taylor expanded in k around inf 48.5%

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

      1. mul-1-neg 48.5%

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

      2. unsub-neg 48.5%

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

      3. associate-/l* 48.5%

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

   7. Simplified 48.5%

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

   if -6.99999999999999955e68 < y1 < -1.05e15

   1. Initial program 53.8%

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

   3. Taylor expanded in i around -inf 46.7%

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

   4. Taylor expanded in x around inf 61.9%

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

      1. mul-1-neg 61.9%

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

   6. Simplified 61.9%

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

   if -1.05e15 < y1 < -5.2000000000000002e-8

   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 y2 around inf 43.8%

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

   4. Taylor expanded in k around inf 72.0%

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

   if -5.2000000000000002e-8 < y1 < -2.49999999999999999e-74

   1. Initial program 41.2%

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

   3. Taylor expanded in y2 around inf 54.6%

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

   4. Taylor expanded in y1 around inf 48.8%

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

   if -2.49999999999999999e-74 < y1 < -2.95e-155

   1. Initial program 30.6%

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

   3. Taylor expanded in k around inf 39.4%

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

   4. Taylor expanded in y5 around inf 39.5%

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

   5. Taylor expanded in y0 around inf 39.8%

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

      1. mul-1-neg 39.8%

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

      2. associate-*r* 47.3%

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

      3. distribute-lft-neg-out 47.3%

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

      4. *-commutative 47.3%

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

      5. distribute-lft-neg-in 47.3%

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

   7. Simplified 47.3%

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

   if -2.95e-155 < y1 < 6.79999999999999997e-282

   1. Initial program 32.1%

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

   3. Taylor expanded in b around inf 51.8%

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

   4. Taylor expanded in a around inf 58.9%

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

      1. associate-*r* 46.5%

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

   6. Simplified 46.5%

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

   if 6.79999999999999997e-282 < y1 < 1.55000000000000005e-194

   1. Initial program 38.5%

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

   3. Taylor expanded in y4 around inf 44.3%

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

   4. Taylor expanded in c around inf 39.4%

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

   if 1.55000000000000005e-194 < y1 < 8.1999999999999995e-166

   1. Initial program 44.4%

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

   3. Taylor expanded in i around -inf 67.5%

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

   4. Taylor expanded in z around -inf 56.7%

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

   if 8.1999999999999995e-166 < y1 < 3.5999999999999999e-27

   1. Initial program 30.3%

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

   3. Taylor expanded in y4 around inf 51.9%

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

   4. Taylor expanded in y around -inf 55.1%

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

      1. mul-1-neg 55.1%

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

   6. Simplified 55.1%

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

   if 3.5999999999999999e-27 < y1

   1. Initial program 23.0%

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

   3. Taylor expanded in y4 around inf 43.3%

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

   4. Taylor expanded in y2 around inf 52.4%

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

4. Final simplification 50.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -7 \cdot 10^{+68}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.05 \cdot 10^{+15}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y1 \leq -5.2 \cdot 10^{-8}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -2.5 \cdot 10^{-74}:\\ \;\;\;\;y2 \cdot \left(y1 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -2.95 \cdot 10^{-155}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 6.8 \cdot 10^{-282}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 1.55 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 8.2 \cdot 10^{-166}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 3.6 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 29.4% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ t_2 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{if}\;y4 \leq -2.6 \cdot 10^{+230}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -1.45 \cdot 10^{+156}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.4 \cdot 10^{+132}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -1.65 \cdot 10^{-75}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 2.3 \cdot 10^{-223}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 3.5 \cdot 10^{-138}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.54 \cdot 10^{-55}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.22 \cdot 10^{-23}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 5.8 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (- (* y2 y4) (* z i)))))
        (t_2 (* b (* y4 (- (* t j) (* y k))))))
   (if (<= y4 -2.6e+230)
     t_1
     (if (<= y4 -1.45e+156)
       (* t (* y4 (- (* b j) (* c y2))))
       (if (<= y4 -4.4e+132)
         (* k (* z (- (* b y0) (* i y1))))
         (if (<= y4 -1.65e-75)
           t_2
           (if (<= y4 2.3e-223)
             (* i (* z (- (* t c) (* k y1))))
             (if (<= y4 3.5e-138)
               (* b (* j (* x (- y0))))
               (if (<= y4 1.54e-55)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 (if (<= y4 1.22e-23)
                   t_2
                   (if (<= y4 5.8e+253)
                     (* c (* y4 (- (* y y3) (* t y2))))
                     t_1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	double t_2 = b * (y4 * ((t * j) - (y * k)));
	double tmp;
	if (y4 <= -2.6e+230) {
		tmp = t_1;
	} else if (y4 <= -1.45e+156) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y4 <= -4.4e+132) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y4 <= -1.65e-75) {
		tmp = t_2;
	} else if (y4 <= 2.3e-223) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 3.5e-138) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 1.54e-55) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y4 <= 1.22e-23) {
		tmp = t_2;
	} else if (y4 <= 5.8e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} 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 = k * (y1 * ((y2 * y4) - (z * i)))
    t_2 = b * (y4 * ((t * j) - (y * k)))
    if (y4 <= (-2.6d+230)) then
        tmp = t_1
    else if (y4 <= (-1.45d+156)) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y4 <= (-4.4d+132)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y4 <= (-1.65d-75)) then
        tmp = t_2
    else if (y4 <= 2.3d-223) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y4 <= 3.5d-138) then
        tmp = b * (j * (x * -y0))
    else if (y4 <= 1.54d-55) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y4 <= 1.22d-23) then
        tmp = t_2
    else if (y4 <= 5.8d+253) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	double t_2 = b * (y4 * ((t * j) - (y * k)));
	double tmp;
	if (y4 <= -2.6e+230) {
		tmp = t_1;
	} else if (y4 <= -1.45e+156) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y4 <= -4.4e+132) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y4 <= -1.65e-75) {
		tmp = t_2;
	} else if (y4 <= 2.3e-223) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 3.5e-138) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 1.54e-55) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y4 <= 1.22e-23) {
		tmp = t_2;
	} else if (y4 <= 5.8e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y1 * ((y2 * y4) - (z * i)))
	t_2 = b * (y4 * ((t * j) - (y * k)))
	tmp = 0
	if y4 <= -2.6e+230:
		tmp = t_1
	elif y4 <= -1.45e+156:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y4 <= -4.4e+132:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y4 <= -1.65e-75:
		tmp = t_2
	elif y4 <= 2.3e-223:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y4 <= 3.5e-138:
		tmp = b * (j * (x * -y0))
	elif y4 <= 1.54e-55:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y4 <= 1.22e-23:
		tmp = t_2
	elif y4 <= 5.8e+253:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))))
	t_2 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	tmp = 0.0
	if (y4 <= -2.6e+230)
		tmp = t_1;
	elseif (y4 <= -1.45e+156)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y4 <= -4.4e+132)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y4 <= -1.65e-75)
		tmp = t_2;
	elseif (y4 <= 2.3e-223)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y4 <= 3.5e-138)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y4 <= 1.54e-55)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y4 <= 1.22e-23)
		tmp = t_2;
	elseif (y4 <= 5.8e+253)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	t_2 = b * (y4 * ((t * j) - (y * k)));
	tmp = 0.0;
	if (y4 <= -2.6e+230)
		tmp = t_1;
	elseif (y4 <= -1.45e+156)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y4 <= -4.4e+132)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y4 <= -1.65e-75)
		tmp = t_2;
	elseif (y4 <= 2.3e-223)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y4 <= 3.5e-138)
		tmp = b * (j * (x * -y0));
	elseif (y4 <= 1.54e-55)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y4 <= 1.22e-23)
		tmp = t_2;
	elseif (y4 <= 5.8e+253)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.6e+230], t$95$1, If[LessEqual[y4, -1.45e+156], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.4e+132], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.65e-75], t$95$2, If[LessEqual[y4, 2.3e-223], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.5e-138], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.54e-55], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.22e-23], t$95$2, If[LessEqual[y4, 5.8e+253], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -2.5999999999999999e230 or 5.79999999999999976e253 < y4

   1. Initial program 17.3%

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

   3. Taylor expanded in k around inf 41.6%

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

   4. Taylor expanded in y1 around inf 55.8%

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

   if -2.5999999999999999e230 < y4 < -1.45000000000000005e156

   1. Initial program 38.5%

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

   3. Taylor expanded in y4 around inf 61.9%

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

   4. Taylor expanded in t around inf 69.5%

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

   if -1.45000000000000005e156 < y4 < -4.39999999999999977e132

   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 k around inf 50.0%

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

   4. Taylor expanded in z around inf 83.5%

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

   if -4.39999999999999977e132 < y4 < -1.65e-75 or 1.54000000000000007e-55 < y4 < 1.22000000000000007e-23

   1. Initial program 34.4%

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

   3. Taylor expanded in y4 around inf 46.3%

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

   4. Taylor expanded in b around inf 50.2%

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

   if -1.65e-75 < y4 < 2.3e-223

   1. Initial program 43.0%

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

   3. Taylor expanded in i around -inf 41.7%

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

   4. Taylor expanded in z around -inf 35.8%

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

   if 2.3e-223 < y4 < 3.4999999999999999e-138

   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 k around 0 28.1%

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

   4. Taylor expanded in b around inf 44.8%

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

   5. Taylor expanded in y0 around inf 48.9%

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

   if 3.4999999999999999e-138 < y4 < 1.54000000000000007e-55

   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 y2 around inf 52.0%

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

   4. Taylor expanded in t around inf 51.8%

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

   if 1.22000000000000007e-23 < y4 < 5.79999999999999976e253

   1. Initial program 22.6%

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

   3. Taylor expanded in y4 around inf 53.0%

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

   4. Taylor expanded in c around inf 48.0%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 48.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.6 \cdot 10^{+230}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -1.45 \cdot 10^{+156}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.4 \cdot 10^{+132}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -1.65 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 2.3 \cdot 10^{-223}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 3.5 \cdot 10^{-138}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.54 \cdot 10^{-55}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.22 \cdot 10^{-23}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 5.8 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 31.9% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{if}\;y1 \leq -2.4 \cdot 10^{+163}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -5.8 \cdot 10^{+16}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -3 \cdot 10^{-7}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -1.15 \cdot 10^{-74}:\\ \;\;\;\;y2 \cdot \left(y1 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -7 \cdot 10^{-156}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.04 \cdot 10^{-302}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 1.15 \cdot 10^{-161}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq 3.5 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5)))))))
   (if (<= y1 -2.4e+163)
     (* y1 (* y4 (* k (- y2 (* j (/ y3 k))))))
     (if (<= y1 -5.8e+16)
       t_1
       (if (<= y1 -3e-7)
         (* y5 (- (* y0 (- (* j y3) (* k y2))) (* i (- (* t j) (* y k)))))
         (if (<= y1 -1.15e-74)
           (* y2 (* y1 (- (* k y4) (* x a))))
           (if (<= y1 -7e-156)
             (* k (* y5 (* y0 (- y2))))
             (if (<= y1 -1.04e-302)
               (* (* a b) (- (* x y) (* z t)))
               (if (<= y1 1.15e-161)
                 t_1
                 (if (<= y1 3.5e-27)
                   (* y (* y4 (- (* c y3) (* b k))))
                   (* y2 (* y4 (- (* k y1) (* t 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))));
	double tmp;
	if (y1 <= -2.4e+163) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -5.8e+16) {
		tmp = t_1;
	} else if (y1 <= -3e-7) {
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	} else if (y1 <= -1.15e-74) {
		tmp = y2 * (y1 * ((k * y4) - (x * a)));
	} else if (y1 <= -7e-156) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= -1.04e-302) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 1.15e-161) {
		tmp = t_1;
	} else if (y1 <= 3.5e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))))
    if (y1 <= (-2.4d+163)) then
        tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
    else if (y1 <= (-5.8d+16)) then
        tmp = t_1
    else if (y1 <= (-3d-7)) then
        tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))))
    else if (y1 <= (-1.15d-74)) then
        tmp = y2 * (y1 * ((k * y4) - (x * a)))
    else if (y1 <= (-7d-156)) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y1 <= (-1.04d-302)) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= 1.15d-161) then
        tmp = t_1
    else if (y1 <= 3.5d-27) then
        tmp = y * (y4 * ((c * y3) - (b * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))));
	double tmp;
	if (y1 <= -2.4e+163) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -5.8e+16) {
		tmp = t_1;
	} else if (y1 <= -3e-7) {
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	} else if (y1 <= -1.15e-74) {
		tmp = y2 * (y1 * ((k * y4) - (x * a)));
	} else if (y1 <= -7e-156) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= -1.04e-302) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 1.15e-161) {
		tmp = t_1;
	} else if (y1 <= 3.5e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))))
	tmp = 0
	if y1 <= -2.4e+163:
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
	elif y1 <= -5.8e+16:
		tmp = t_1
	elif y1 <= -3e-7:
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))))
	elif y1 <= -1.15e-74:
		tmp = y2 * (y1 * ((k * y4) - (x * a)))
	elif y1 <= -7e-156:
		tmp = k * (y5 * (y0 * -y2))
	elif y1 <= -1.04e-302:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= 1.15e-161:
		tmp = t_1
	elif y1 <= 3.5e-27:
		tmp = y * (y4 * ((c * y3) - (b * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * 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(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))))
	tmp = 0.0
	if (y1 <= -2.4e+163)
		tmp = Float64(y1 * Float64(y4 * Float64(k * Float64(y2 - Float64(j * Float64(y3 / k))))));
	elseif (y1 <= -5.8e+16)
		tmp = t_1;
	elseif (y1 <= -3e-7)
		tmp = Float64(y5 * Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * Float64(Float64(t * j) - Float64(y * k)))));
	elseif (y1 <= -1.15e-74)
		tmp = Float64(y2 * Float64(y1 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y1 <= -7e-156)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y1 <= -1.04e-302)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= 1.15e-161)
		tmp = t_1;
	elseif (y1 <= 3.5e-27)
		tmp = Float64(y * Float64(y4 * Float64(Float64(c * y3) - Float64(b * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))));
	tmp = 0.0;
	if (y1 <= -2.4e+163)
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	elseif (y1 <= -5.8e+16)
		tmp = t_1;
	elseif (y1 <= -3e-7)
		tmp = y5 * ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k))));
	elseif (y1 <= -1.15e-74)
		tmp = y2 * (y1 * ((k * y4) - (x * a)));
	elseif (y1 <= -7e-156)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y1 <= -1.04e-302)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= 1.15e-161)
		tmp = t_1;
	elseif (y1 <= 3.5e-27)
		tmp = y * (y4 * ((c * y3) - (b * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * 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[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -2.4e+163], N[(y1 * N[(y4 * N[(k * N[(y2 - N[(j * N[(y3 / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -5.8e+16], t$95$1, If[LessEqual[y1, -3e-7], N[(y5 * N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.15e-74], N[(y2 * N[(y1 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -7e-156], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.04e-302], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.15e-161], t$95$1, If[LessEqual[y1, 3.5e-27], N[(y * N[(y4 * N[(N[(c * y3), $MachinePrecision] - N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y1 < -2.3999999999999999e163

   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 y4 around inf 44.6%

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

   4. Taylor expanded in y1 around inf 52.9%

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

   5. Taylor expanded in k around inf 56.6%

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

      1. mul-1-neg 56.6%

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

      2. unsub-neg 56.6%

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

      3. associate-/l* 56.6%

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

   7. Simplified 56.6%

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

   if -2.3999999999999999e163 < y1 < -5.8e16 or -1.04000000000000002e-302 < y1 < 1.15e-161

   1. Initial program 35.3%

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

   3. Taylor expanded in k around 0 27.0%

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

   4. Taylor expanded in y around inf 46.0%

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

      1. mul-1-neg 46.0%

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

   6. Simplified 46.0%

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

   if -5.8e16 < y1 < -2.9999999999999999e-7

   1. Initial program 50.0%

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

   3. Taylor expanded in i around -inf 66.7%

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

   4. Taylor expanded in y5 around -inf 100.0%

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

   if -2.9999999999999999e-7 < y1 < -1.1499999999999999e-74

   1. Initial program 42.1%

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

   3. Taylor expanded in y2 around inf 54.2%

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

   4. Taylor expanded in y1 around inf 43.8%

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

   if -1.1499999999999999e-74 < y1 < -6.9999999999999999e-156

   1. Initial program 30.6%

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

   3. Taylor expanded in k around inf 39.4%

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

   4. Taylor expanded in y5 around inf 39.5%

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

   5. Taylor expanded in y0 around inf 39.8%

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

      1. mul-1-neg 39.8%

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

      2. associate-*r* 47.3%

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

      3. distribute-lft-neg-out 47.3%

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

      4. *-commutative 47.3%

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

      5. distribute-lft-neg-in 47.3%

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

   7. Simplified 47.3%

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

   if -6.9999999999999999e-156 < y1 < -1.04000000000000002e-302

   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 inf 65.2%

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

   4. Taylor expanded in a around inf 65.8%

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

      1. associate-*r* 53.3%

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

   6. Simplified 53.3%

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

   if 1.15e-161 < y1 < 3.5000000000000001e-27

   1. Initial program 30.3%

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

   3. Taylor expanded in y4 around inf 51.9%

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

   4. Taylor expanded in y around -inf 55.1%

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

      1. mul-1-neg 55.1%

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

   6. Simplified 55.1%

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

   if 3.5000000000000001e-27 < y1

   1. Initial program 23.0%

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

   3. Taylor expanded in y4 around inf 43.3%

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

   4. Taylor expanded in y2 around inf 52.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 51.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.4 \cdot 10^{+163}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -5.8 \cdot 10^{+16}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -3 \cdot 10^{-7}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -1.15 \cdot 10^{-74}:\\ \;\;\;\;y2 \cdot \left(y1 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -7 \cdot 10^{-156}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.04 \cdot 10^{-302}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 1.15 \cdot 10^{-161}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 3.5 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 32.3% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{if}\;y1 \leq -1.45 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -2.35 \cdot 10^{+17}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -3.8 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -6 \cdot 10^{-190}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -8.5 \cdot 10^{-209}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -6.8 \cdot 10^{-298}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 3.3 \cdot 10^{-165}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq 2.9 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5)))))))
   (if (<= y1 -1.45e+165)
     (* y1 (* y4 (* k (- y2 (* j (/ y3 k))))))
     (if (<= y1 -2.35e+17)
       t_1
       (if (<= y1 -3.8e-85)
         (* a (* y2 (- (* t y5) (* x y1))))
         (if (<= y1 -6e-190)
           (* c (* y4 (- (* y y3) (* t y2))))
           (if (<= y1 -8.5e-209)
             (* b (* y4 (- (* t j) (* y k))))
             (if (<= y1 -6.8e-298)
               (* (* a b) (- (* x y) (* z t)))
               (if (<= y1 3.3e-165)
                 t_1
                 (if (<= y1 2.9e-27)
                   (* y (* y4 (- (* c y3) (* b k))))
                   (* y2 (* y4 (- (* k y1) (* t 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))));
	double tmp;
	if (y1 <= -1.45e+165) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -2.35e+17) {
		tmp = t_1;
	} else if (y1 <= -3.8e-85) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (y1 <= -6e-190) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= -8.5e-209) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y1 <= -6.8e-298) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 3.3e-165) {
		tmp = t_1;
	} else if (y1 <= 2.9e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))))
    if (y1 <= (-1.45d+165)) then
        tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
    else if (y1 <= (-2.35d+17)) then
        tmp = t_1
    else if (y1 <= (-3.8d-85)) then
        tmp = a * (y2 * ((t * y5) - (x * y1)))
    else if (y1 <= (-6d-190)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y1 <= (-8.5d-209)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y1 <= (-6.8d-298)) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= 3.3d-165) then
        tmp = t_1
    else if (y1 <= 2.9d-27) then
        tmp = y * (y4 * ((c * y3) - (b * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))));
	double tmp;
	if (y1 <= -1.45e+165) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -2.35e+17) {
		tmp = t_1;
	} else if (y1 <= -3.8e-85) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (y1 <= -6e-190) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= -8.5e-209) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y1 <= -6.8e-298) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 3.3e-165) {
		tmp = t_1;
	} else if (y1 <= 2.9e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))))
	tmp = 0
	if y1 <= -1.45e+165:
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
	elif y1 <= -2.35e+17:
		tmp = t_1
	elif y1 <= -3.8e-85:
		tmp = a * (y2 * ((t * y5) - (x * y1)))
	elif y1 <= -6e-190:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y1 <= -8.5e-209:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y1 <= -6.8e-298:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= 3.3e-165:
		tmp = t_1
	elif y1 <= 2.9e-27:
		tmp = y * (y4 * ((c * y3) - (b * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * 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(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))))
	tmp = 0.0
	if (y1 <= -1.45e+165)
		tmp = Float64(y1 * Float64(y4 * Float64(k * Float64(y2 - Float64(j * Float64(y3 / k))))));
	elseif (y1 <= -2.35e+17)
		tmp = t_1;
	elseif (y1 <= -3.8e-85)
		tmp = Float64(a * Float64(y2 * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (y1 <= -6e-190)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y1 <= -8.5e-209)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y1 <= -6.8e-298)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= 3.3e-165)
		tmp = t_1;
	elseif (y1 <= 2.9e-27)
		tmp = Float64(y * Float64(y4 * Float64(Float64(c * y3) - Float64(b * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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 = y * ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5))));
	tmp = 0.0;
	if (y1 <= -1.45e+165)
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	elseif (y1 <= -2.35e+17)
		tmp = t_1;
	elseif (y1 <= -3.8e-85)
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	elseif (y1 <= -6e-190)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y1 <= -8.5e-209)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y1 <= -6.8e-298)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= 3.3e-165)
		tmp = t_1;
	elseif (y1 <= 2.9e-27)
		tmp = y * (y4 * ((c * y3) - (b * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * 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[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -1.45e+165], N[(y1 * N[(y4 * N[(k * N[(y2 - N[(j * N[(y3 / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2.35e+17], t$95$1, If[LessEqual[y1, -3.8e-85], N[(a * N[(y2 * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -6e-190], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -8.5e-209], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -6.8e-298], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.3e-165], t$95$1, If[LessEqual[y1, 2.9e-27], N[(y * N[(y4 * N[(N[(c * y3), $MachinePrecision] - N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y1 < -1.45000000000000003e165

   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 y4 around inf 44.6%

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

   4. Taylor expanded in y1 around inf 52.9%

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

   5. Taylor expanded in k around inf 56.6%

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

      1. mul-1-neg 56.6%

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

      2. unsub-neg 56.6%

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

      3. associate-/l* 56.6%

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

   7. Simplified 56.6%

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

   if -1.45000000000000003e165 < y1 < -2.35e17 or -6.8e-298 < y1 < 3.2999999999999998e-165

   1. Initial program 34.4%

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

   3. Taylor expanded in k around 0 25.9%

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

   4. Taylor expanded in y around inf 46.6%

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

      1. mul-1-neg 46.6%

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

   6. Simplified 46.6%

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

   if -2.35e17 < y1 < -3.7999999999999999e-85

   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 y2 around inf 47.7%

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

   4. Taylor expanded in a around -inf 47.7%

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

      1. mul-1-neg 47.7%

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

   6. Simplified 47.7%

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

   if -3.7999999999999999e-85 < y1 < -5.9999999999999996e-190

   1. Initial program 30.6%

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

   3. Taylor expanded in y4 around inf 32.4%

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

   4. Taylor expanded in c around inf 47.0%

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

   if -5.9999999999999996e-190 < y1 < -8.5e-209

   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 y4 around inf 83.3%

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

   4. Taylor expanded in b around inf 83.8%

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

   if -8.5e-209 < y1 < -6.8e-298

   1. Initial program 26.5%

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

   3. Taylor expanded in b around inf 53.3%

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

   4. Taylor expanded in a around inf 67.2%

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

      1. associate-*r* 54.6%

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

   6. Simplified 54.6%

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

   if 3.2999999999999998e-165 < y1 < 2.90000000000000004e-27

   1. Initial program 30.3%

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

   3. Taylor expanded in y4 around inf 51.9%

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

   4. Taylor expanded in y around -inf 55.1%

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

      1. mul-1-neg 55.1%

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

   6. Simplified 55.1%

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

   if 2.90000000000000004e-27 < y1

   1. Initial program 23.0%

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

   3. Taylor expanded in y4 around inf 43.3%

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

   4. Taylor expanded in y2 around inf 52.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 51.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.45 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -2.35 \cdot 10^{+17}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -3.8 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -6 \cdot 10^{-190}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -8.5 \cdot 10^{-209}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -6.8 \cdot 10^{-298}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 3.3 \cdot 10^{-165}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.9 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 30.2% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{if}\;y4 \leq -1.2 \cdot 10^{+232}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -4.3 \cdot 10^{+155}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.3 \cdot 10^{+125}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{-227}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 3.7 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 3.3 \cdot 10^{+71}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (- (* y2 y4) (* z i))))))
   (if (<= y4 -1.2e+232)
     t_1
     (if (<= y4 -4.3e+155)
       (* t (* y4 (- (* b j) (* c y2))))
       (if (<= y4 -4.3e+125)
         (* k (* z (- (* b y0) (* i y1))))
         (if (<= y4 -6.2e-75)
           (* b (* y4 (- (* t j) (* y k))))
           (if (<= y4 6.5e-227)
             (* i (* z (- (* t c) (* k y1))))
             (if (<= y4 3.7e-117)
               (* b (* j (* x (- y0))))
               (if (<= y4 3.3e+71)
                 (* y2 (* x (- (* c y0) (* a y1))))
                 (if (<= y4 1.2e+253)
                   (* c (* y4 (- (* y y3) (* t y2))))
                   t_1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (y4 <= -1.2e+232) {
		tmp = t_1;
	} else if (y4 <= -4.3e+155) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y4 <= -4.3e+125) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y4 <= -6.2e-75) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= 6.5e-227) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 3.7e-117) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 3.3e+71) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (y4 <= 1.2e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} 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 = k * (y1 * ((y2 * y4) - (z * i)))
    if (y4 <= (-1.2d+232)) then
        tmp = t_1
    else if (y4 <= (-4.3d+155)) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y4 <= (-4.3d+125)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y4 <= (-6.2d-75)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y4 <= 6.5d-227) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y4 <= 3.7d-117) then
        tmp = b * (j * (x * -y0))
    else if (y4 <= 3.3d+71) then
        tmp = y2 * (x * ((c * y0) - (a * y1)))
    else if (y4 <= 1.2d+253) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (y4 <= -1.2e+232) {
		tmp = t_1;
	} else if (y4 <= -4.3e+155) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y4 <= -4.3e+125) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y4 <= -6.2e-75) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= 6.5e-227) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 3.7e-117) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 3.3e+71) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (y4 <= 1.2e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y1 * ((y2 * y4) - (z * i)))
	tmp = 0
	if y4 <= -1.2e+232:
		tmp = t_1
	elif y4 <= -4.3e+155:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y4 <= -4.3e+125:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y4 <= -6.2e-75:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y4 <= 6.5e-227:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y4 <= 3.7e-117:
		tmp = b * (j * (x * -y0))
	elif y4 <= 3.3e+71:
		tmp = y2 * (x * ((c * y0) - (a * y1)))
	elif y4 <= 1.2e+253:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))))
	tmp = 0.0
	if (y4 <= -1.2e+232)
		tmp = t_1;
	elseif (y4 <= -4.3e+155)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y4 <= -4.3e+125)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y4 <= -6.2e-75)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y4 <= 6.5e-227)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y4 <= 3.7e-117)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y4 <= 3.3e+71)
		tmp = Float64(y2 * Float64(x * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y4 <= 1.2e+253)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	tmp = 0.0;
	if (y4 <= -1.2e+232)
		tmp = t_1;
	elseif (y4 <= -4.3e+155)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y4 <= -4.3e+125)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y4 <= -6.2e-75)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y4 <= 6.5e-227)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y4 <= 3.7e-117)
		tmp = b * (j * (x * -y0));
	elseif (y4 <= 3.3e+71)
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	elseif (y4 <= 1.2e+253)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.2e+232], t$95$1, If[LessEqual[y4, -4.3e+155], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.3e+125], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.2e-75], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.5e-227], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.7e-117], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.3e+71], N[(y2 * N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.2e+253], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -1.2000000000000001e232 or 1.19999999999999996e253 < y4

   1. Initial program 17.3%

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

   3. Taylor expanded in k around inf 41.6%

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

   4. Taylor expanded in y1 around inf 55.8%

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

   if -1.2000000000000001e232 < y4 < -4.3000000000000002e155

   1. Initial program 38.5%

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

   3. Taylor expanded in y4 around inf 61.9%

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

   4. Taylor expanded in t around inf 69.5%

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

   if -4.3000000000000002e155 < y4 < -4.30000000000000035e125

   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 k around inf 50.0%

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

   4. Taylor expanded in z around inf 83.5%

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

   if -4.30000000000000035e125 < y4 < -6.20000000000000013e-75

   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 y4 around inf 50.8%

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

   4. Taylor expanded in b around inf 46.7%

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

   if -6.20000000000000013e-75 < y4 < 6.4999999999999996e-227

   1. Initial program 43.0%

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

   3. Taylor expanded in i around -inf 41.7%

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

   4. Taylor expanded in z around -inf 35.8%

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

   if 6.4999999999999996e-227 < y4 < 3.7000000000000002e-117

   1. Initial program 29.6%

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

   3. Taylor expanded in k around 0 29.7%

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

   4. Taylor expanded in b around inf 41.7%

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

   5. Taylor expanded in y0 around inf 45.5%

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

   if 3.7000000000000002e-117 < y4 < 3.2999999999999998e71

   1. Initial program 33.3%

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

   3. Taylor expanded in y2 around inf 49.5%

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

   4. Taylor expanded in x around inf 46.3%

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

   if 3.2999999999999998e71 < y4 < 1.19999999999999996e253

   1. Initial program 19.5%

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

   3. Taylor expanded in y4 around inf 63.6%

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

   4. Taylor expanded in c around inf 51.9%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 47.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.2 \cdot 10^{+232}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -4.3 \cdot 10^{+155}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.3 \cdot 10^{+125}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{-227}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 3.7 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 3.3 \cdot 10^{+71}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 29.8% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{if}\;y4 \leq -9 \cdot 10^{+226}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -5.2 \cdot 10^{+155}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{+130}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 1.75 \cdot 10^{-227}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 8.5 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.05 \cdot 10^{+77}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (- (* y2 y4) (* z i))))))
   (if (<= y4 -9e+226)
     t_1
     (if (<= y4 -5.2e+155)
       (* t (* y4 (- (* b j) (* c y2))))
       (if (<= y4 -3.5e+130)
         (* k (* z (- (* b y0) (* i y1))))
         (if (<= y4 -6.2e-75)
           (* b (* y4 (- (* t j) (* y k))))
           (if (<= y4 1.75e-227)
             (* i (* z (- (* t c) (* k y1))))
             (if (<= y4 8.5e-115)
               (* b (* j (* x (- y0))))
               (if (<= y4 2.05e+77)
                 (* x (* y2 (- (* c y0) (* a y1))))
                 (if (<= y4 6.5e+253)
                   (* c (* y4 (- (* y y3) (* t y2))))
                   t_1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (y4 <= -9e+226) {
		tmp = t_1;
	} else if (y4 <= -5.2e+155) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y4 <= -3.5e+130) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y4 <= -6.2e-75) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= 1.75e-227) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 8.5e-115) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 2.05e+77) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y4 <= 6.5e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} 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 = k * (y1 * ((y2 * y4) - (z * i)))
    if (y4 <= (-9d+226)) then
        tmp = t_1
    else if (y4 <= (-5.2d+155)) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y4 <= (-3.5d+130)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y4 <= (-6.2d-75)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y4 <= 1.75d-227) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y4 <= 8.5d-115) then
        tmp = b * (j * (x * -y0))
    else if (y4 <= 2.05d+77) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y4 <= 6.5d+253) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (y4 <= -9e+226) {
		tmp = t_1;
	} else if (y4 <= -5.2e+155) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y4 <= -3.5e+130) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y4 <= -6.2e-75) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= 1.75e-227) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 8.5e-115) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 2.05e+77) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y4 <= 6.5e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y1 * ((y2 * y4) - (z * i)))
	tmp = 0
	if y4 <= -9e+226:
		tmp = t_1
	elif y4 <= -5.2e+155:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y4 <= -3.5e+130:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y4 <= -6.2e-75:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y4 <= 1.75e-227:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y4 <= 8.5e-115:
		tmp = b * (j * (x * -y0))
	elif y4 <= 2.05e+77:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y4 <= 6.5e+253:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))))
	tmp = 0.0
	if (y4 <= -9e+226)
		tmp = t_1;
	elseif (y4 <= -5.2e+155)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y4 <= -3.5e+130)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y4 <= -6.2e-75)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y4 <= 1.75e-227)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y4 <= 8.5e-115)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y4 <= 2.05e+77)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y4 <= 6.5e+253)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y1 * ((y2 * y4) - (z * i)));
	tmp = 0.0;
	if (y4 <= -9e+226)
		tmp = t_1;
	elseif (y4 <= -5.2e+155)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y4 <= -3.5e+130)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y4 <= -6.2e-75)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y4 <= 1.75e-227)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y4 <= 8.5e-115)
		tmp = b * (j * (x * -y0));
	elseif (y4 <= 2.05e+77)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y4 <= 6.5e+253)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -9e+226], t$95$1, If[LessEqual[y4, -5.2e+155], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.5e+130], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.2e-75], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.75e-227], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 8.5e-115], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.05e+77], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.5e+253], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -8.99999999999999978e226 or 6.5000000000000002e253 < y4

   1. Initial program 17.3%

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

   3. Taylor expanded in k around inf 41.6%

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

   4. Taylor expanded in y1 around inf 55.8%

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

   if -8.99999999999999978e226 < y4 < -5.2000000000000004e155

   1. Initial program 38.5%

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

   3. Taylor expanded in y4 around inf 61.9%

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

   4. Taylor expanded in t around inf 69.5%

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

   if -5.2000000000000004e155 < y4 < -3.5000000000000001e130

   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 k around inf 50.0%

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

   4. Taylor expanded in z around inf 83.5%

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

   if -3.5000000000000001e130 < y4 < -6.20000000000000013e-75

   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 y4 around inf 50.8%

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

   4. Taylor expanded in b around inf 46.7%

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

   if -6.20000000000000013e-75 < y4 < 1.75000000000000005e-227

   1. Initial program 43.0%

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

   3. Taylor expanded in i around -inf 41.7%

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

   4. Taylor expanded in z around -inf 35.8%

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

   if 1.75000000000000005e-227 < y4 < 8.49999999999999953e-115

   1. Initial program 29.6%

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

   3. Taylor expanded in k around 0 29.7%

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

   4. Taylor expanded in b around inf 41.7%

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

   5. Taylor expanded in y0 around inf 45.5%

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

   if 8.49999999999999953e-115 < y4 < 2.05e77

   1. Initial program 33.3%

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

   3. Taylor expanded in y2 around inf 49.5%

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

   4. Taylor expanded in x around inf 46.2%

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

   if 2.05e77 < y4 < 6.5000000000000002e253

   1. Initial program 19.5%

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

   3. Taylor expanded in y4 around inf 63.6%

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

   4. Taylor expanded in c around inf 51.9%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 47.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -9 \cdot 10^{+226}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -5.2 \cdot 10^{+155}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{+130}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 1.75 \cdot 10^{-227}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 8.5 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.05 \cdot 10^{+77}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 36.6% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := a \cdot b - c \cdot i\\ t_3 := j \cdot y3 - k \cdot y2\\ \mathbf{if}\;y5 \leq -3.2 \cdot 10^{+189}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot t\_3\right)\\ \mathbf{elif}\;y5 \leq -1.3 \cdot 10^{-58}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -1.06 \cdot 10^{-218}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{-303}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_2\right)\\ \mathbf{elif}\;y5 \leq 1.25 \cdot 10^{-97}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 6.2 \cdot 10^{+121}:\\ \;\;\;\;y \cdot \left(x \cdot t\_2 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot t\_3 - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (* j (+ (* y3 (- (* y0 y5) (* y1 y4))) (* b (- (* t y4) (* x y0))))))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* j y3) (* k y2))))
   (if (<= y5 -3.2e+189)
     (* y0 (* y5 t_3))
     (if (<= y5 -1.3e-58)
       t_1
       (if (<= y5 -1.06e-218)
         (* i (* z (- (* t c) (* k y1))))
         (if (<= y5 9.2e-303)
           (* z (- (* y3 (- (* a y1) (* c y0))) (* t t_2)))
           (if (<= y5 1.25e-97)
             t_1
             (if (<= y5 6.2e+121)
               (* y (+ (* x t_2) (* y3 (- (* c y4) (* a y5)))))
               (* y5 (- (* y0 t_3) (* i (- (* t j) (* y k)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	double t_2 = (a * b) - (c * i);
	double t_3 = (j * y3) - (k * y2);
	double tmp;
	if (y5 <= -3.2e+189) {
		tmp = y0 * (y5 * t_3);
	} else if (y5 <= -1.3e-58) {
		tmp = t_1;
	} else if (y5 <= -1.06e-218) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y5 <= 9.2e-303) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_2));
	} else if (y5 <= 1.25e-97) {
		tmp = t_1;
	} else if (y5 <= 6.2e+121) {
		tmp = y * ((x * t_2) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = y5 * ((y0 * t_3) - (i * ((t * j) - (y * k))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
    t_2 = (a * b) - (c * i)
    t_3 = (j * y3) - (k * y2)
    if (y5 <= (-3.2d+189)) then
        tmp = y0 * (y5 * t_3)
    else if (y5 <= (-1.3d-58)) then
        tmp = t_1
    else if (y5 <= (-1.06d-218)) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y5 <= 9.2d-303) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_2))
    else if (y5 <= 1.25d-97) then
        tmp = t_1
    else if (y5 <= 6.2d+121) then
        tmp = y * ((x * t_2) + (y3 * ((c * y4) - (a * y5))))
    else
        tmp = y5 * ((y0 * t_3) - (i * ((t * j) - (y * k))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	double t_2 = (a * b) - (c * i);
	double t_3 = (j * y3) - (k * y2);
	double tmp;
	if (y5 <= -3.2e+189) {
		tmp = y0 * (y5 * t_3);
	} else if (y5 <= -1.3e-58) {
		tmp = t_1;
	} else if (y5 <= -1.06e-218) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y5 <= 9.2e-303) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_2));
	} else if (y5 <= 1.25e-97) {
		tmp = t_1;
	} else if (y5 <= 6.2e+121) {
		tmp = y * ((x * t_2) + (y3 * ((c * y4) - (a * y5))));
	} else {
		tmp = y5 * ((y0 * t_3) - (i * ((t * j) - (y * k))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))))
	t_2 = (a * b) - (c * i)
	t_3 = (j * y3) - (k * y2)
	tmp = 0
	if y5 <= -3.2e+189:
		tmp = y0 * (y5 * t_3)
	elif y5 <= -1.3e-58:
		tmp = t_1
	elif y5 <= -1.06e-218:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y5 <= 9.2e-303:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_2))
	elif y5 <= 1.25e-97:
		tmp = t_1
	elif y5 <= 6.2e+121:
		tmp = y * ((x * t_2) + (y3 * ((c * y4) - (a * y5))))
	else:
		tmp = y5 * ((y0 * t_3) - (i * ((t * j) - (y * k))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(b * Float64(Float64(t * y4) - Float64(x * y0)))))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(j * y3) - Float64(k * y2))
	tmp = 0.0
	if (y5 <= -3.2e+189)
		tmp = Float64(y0 * Float64(y5 * t_3));
	elseif (y5 <= -1.3e-58)
		tmp = t_1;
	elseif (y5 <= -1.06e-218)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y5 <= 9.2e-303)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_2)));
	elseif (y5 <= 1.25e-97)
		tmp = t_1;
	elseif (y5 <= 6.2e+121)
		tmp = Float64(y * Float64(Float64(x * t_2) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	else
		tmp = Float64(y5 * Float64(Float64(y0 * t_3) - Float64(i * Float64(Float64(t * j) - Float64(y * k)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * ((y3 * ((y0 * y5) - (y1 * y4))) + (b * ((t * y4) - (x * y0))));
	t_2 = (a * b) - (c * i);
	t_3 = (j * y3) - (k * y2);
	tmp = 0.0;
	if (y5 <= -3.2e+189)
		tmp = y0 * (y5 * t_3);
	elseif (y5 <= -1.3e-58)
		tmp = t_1;
	elseif (y5 <= -1.06e-218)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y5 <= 9.2e-303)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) - (t * t_2));
	elseif (y5 <= 1.25e-97)
		tmp = t_1;
	elseif (y5 <= 6.2e+121)
		tmp = y * ((x * t_2) + (y3 * ((c * y4) - (a * y5))));
	else
		tmp = y5 * ((y0 * t_3) - (i * ((t * j) - (y * k))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $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[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -3.2e+189], N[(y0 * N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.3e-58], t$95$1, If[LessEqual[y5, -1.06e-218], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.2e-303], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.25e-97], t$95$1, If[LessEqual[y5, 6.2e+121], N[(y * N[(N[(x * t$95$2), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y5 * N[(N[(y0 * t$95$3), $MachinePrecision] - N[(i * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -3.2000000000000001e189

   1. Initial program 17.6%

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

   3. Taylor expanded in i around -inf 35.3%

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

   4. Taylor expanded in y0 around inf 56.7%

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

      1. mul-1-neg 56.7%

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

   6. Simplified 56.7%

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

   if -3.2000000000000001e189 < y5 < -1.30000000000000003e-58 or 9.19999999999999981e-303 < y5 < 1.2499999999999999e-97

   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 inf 47.1%

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

   4. Taylor expanded in j around inf 48.3%

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

   if -1.30000000000000003e-58 < y5 < -1.0600000000000001e-218

   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 i around -inf 39.8%

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

   4. Taylor expanded in z around -inf 45.2%

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

   if -1.0600000000000001e-218 < y5 < 9.19999999999999981e-303

   1. Initial program 58.8%

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

   3. Taylor expanded in k around 0 41.2%

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

   4. Taylor expanded in z around -inf 82.9%

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

   if 1.2499999999999999e-97 < y5 < 6.20000000000000016e121

   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 k around 0 23.7%

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

   4. Taylor expanded in y around inf 54.4%

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

      1. mul-1-neg 54.4%

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

   6. Simplified 54.4%

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

   if 6.20000000000000016e121 < y5

   1. Initial program 15.4%

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

   3. Taylor expanded in i around -inf 38.6%

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

   4. Taylor expanded in y5 around -inf 50.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 52.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -3.2 \cdot 10^{+189}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1.3 \cdot 10^{-58}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.06 \cdot 10^{-218}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{-303}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 1.25 \cdot 10^{-97}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 6.2 \cdot 10^{+121}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 29.3% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_2 := k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{if}\;y4 \leq -8.2 \cdot 10^{+190}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -1.1 \cdot 10^{-75}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.35 \cdot 10^{-223}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{-136}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.04 \cdot 10^{-54}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{-24}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.6 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k)))))
        (t_2 (* k (* y1 (- (* y2 y4) (* z i))))))
   (if (<= y4 -8.2e+190)
     t_2
     (if (<= y4 -1.1e-75)
       t_1
       (if (<= y4 1.35e-223)
         (* i (* z (- (* t c) (* k y1))))
         (if (<= y4 1.65e-136)
           (* b (* j (* x (- y0))))
           (if (<= y4 1.04e-54)
             (* t (* y2 (- (* a y5) (* c y4))))
             (if (<= y4 6.2e-24)
               t_1
               (if (<= y4 1.6e+253)
                 (* c (* y4 (- (* y y3) (* t y2))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (y4 <= -8.2e+190) {
		tmp = t_2;
	} else if (y4 <= -1.1e-75) {
		tmp = t_1;
	} else if (y4 <= 1.35e-223) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 1.65e-136) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 1.04e-54) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y4 <= 6.2e-24) {
		tmp = t_1;
	} else if (y4 <= 1.6e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    t_2 = k * (y1 * ((y2 * y4) - (z * i)))
    if (y4 <= (-8.2d+190)) then
        tmp = t_2
    else if (y4 <= (-1.1d-75)) then
        tmp = t_1
    else if (y4 <= 1.35d-223) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y4 <= 1.65d-136) then
        tmp = b * (j * (x * -y0))
    else if (y4 <= 1.04d-54) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y4 <= 6.2d-24) then
        tmp = t_1
    else if (y4 <= 1.6d+253) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (y4 <= -8.2e+190) {
		tmp = t_2;
	} else if (y4 <= -1.1e-75) {
		tmp = t_1;
	} else if (y4 <= 1.35e-223) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y4 <= 1.65e-136) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 1.04e-54) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y4 <= 6.2e-24) {
		tmp = t_1;
	} else if (y4 <= 1.6e+253) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	t_2 = k * (y1 * ((y2 * y4) - (z * i)))
	tmp = 0
	if y4 <= -8.2e+190:
		tmp = t_2
	elif y4 <= -1.1e-75:
		tmp = t_1
	elif y4 <= 1.35e-223:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y4 <= 1.65e-136:
		tmp = b * (j * (x * -y0))
	elif y4 <= 1.04e-54:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y4 <= 6.2e-24:
		tmp = t_1
	elif y4 <= 1.6e+253:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	t_2 = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))))
	tmp = 0.0
	if (y4 <= -8.2e+190)
		tmp = t_2;
	elseif (y4 <= -1.1e-75)
		tmp = t_1;
	elseif (y4 <= 1.35e-223)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y4 <= 1.65e-136)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y4 <= 1.04e-54)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y4 <= 6.2e-24)
		tmp = t_1;
	elseif (y4 <= 1.6e+253)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	t_2 = k * (y1 * ((y2 * y4) - (z * i)));
	tmp = 0.0;
	if (y4 <= -8.2e+190)
		tmp = t_2;
	elseif (y4 <= -1.1e-75)
		tmp = t_1;
	elseif (y4 <= 1.35e-223)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y4 <= 1.65e-136)
		tmp = b * (j * (x * -y0));
	elseif (y4 <= 1.04e-54)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y4 <= 6.2e-24)
		tmp = t_1;
	elseif (y4 <= 1.6e+253)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -8.2e+190], t$95$2, If[LessEqual[y4, -1.1e-75], t$95$1, If[LessEqual[y4, 1.35e-223], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.65e-136], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.04e-54], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.2e-24], t$95$1, If[LessEqual[y4, 1.6e+253], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y4 < -8.2000000000000004e190 or 1.6000000000000002e253 < y4

   1. Initial program 21.1%

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

   3. Taylor expanded in k around inf 37.0%

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

   4. Taylor expanded in y1 around inf 53.2%

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

   if -8.2000000000000004e190 < y4 < -1.10000000000000003e-75 or 1.04e-54 < y4 < 6.2000000000000001e-24

   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 y4 around inf 43.9%

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

   4. Taylor expanded in b around inf 48.9%

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

   if -1.10000000000000003e-75 < y4 < 1.34999999999999994e-223

   1. Initial program 43.0%

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

   3. Taylor expanded in i around -inf 41.7%

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

   4. Taylor expanded in z around -inf 35.8%

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

   if 1.34999999999999994e-223 < y4 < 1.65000000000000009e-136

   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 k around 0 28.1%

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

   4. Taylor expanded in b around inf 44.8%

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

   5. Taylor expanded in y0 around inf 48.9%

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

   if 1.65000000000000009e-136 < y4 < 1.04e-54

   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 y2 around inf 52.0%

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

   4. Taylor expanded in t around inf 51.8%

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

   if 6.2000000000000001e-24 < y4 < 1.6000000000000002e253

   1. Initial program 22.6%

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

   3. Taylor expanded in y4 around inf 53.0%

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

   4. Taylor expanded in c around inf 48.0%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 46.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -8.2 \cdot 10^{+190}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -1.1 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 1.35 \cdot 10^{-223}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{-136}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.04 \cdot 10^{-54}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{-24}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 1.6 \cdot 10^{+253}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 30.0% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_2 := i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{if}\;z \leq -1850:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-300}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-219}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-194}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;z \leq 5.8 \cdot 10^{-140}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{-47}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 1.42 \cdot 10^{+144}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y4 (- (* y y3) (* t y2)))))
        (t_2 (* i (* z (- (* t c) (* k y1))))))
   (if (<= z -1850.0)
     t_2
     (if (<= z -1.6e-300)
       t_1
       (if (<= z 7.8e-219)
         (* k (* y5 (* y0 (- y2))))
         (if (<= z 2.3e-194)
           (* (* x y) (* a b))
           (if (<= z 5.8e-140)
             (* (* j y0) (* y3 y5))
             (if (<= z 1.95e-47)
               t_1
               (if (<= z 1.42e+144)
                 (* 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 = c * (y4 * ((y * y3) - (t * y2)));
	double t_2 = i * (z * ((t * c) - (k * y1)));
	double tmp;
	if (z <= -1850.0) {
		tmp = t_2;
	} else if (z <= -1.6e-300) {
		tmp = t_1;
	} else if (z <= 7.8e-219) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (z <= 2.3e-194) {
		tmp = (x * y) * (a * b);
	} else if (z <= 5.8e-140) {
		tmp = (j * y0) * (y3 * y5);
	} else if (z <= 1.95e-47) {
		tmp = t_1;
	} else if (z <= 1.42e+144) {
		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 = c * (y4 * ((y * y3) - (t * y2)))
    t_2 = i * (z * ((t * c) - (k * y1)))
    if (z <= (-1850.0d0)) then
        tmp = t_2
    else if (z <= (-1.6d-300)) then
        tmp = t_1
    else if (z <= 7.8d-219) then
        tmp = k * (y5 * (y0 * -y2))
    else if (z <= 2.3d-194) then
        tmp = (x * y) * (a * b)
    else if (z <= 5.8d-140) then
        tmp = (j * y0) * (y3 * y5)
    else if (z <= 1.95d-47) then
        tmp = t_1
    else if (z <= 1.42d+144) 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 = c * (y4 * ((y * y3) - (t * y2)));
	double t_2 = i * (z * ((t * c) - (k * y1)));
	double tmp;
	if (z <= -1850.0) {
		tmp = t_2;
	} else if (z <= -1.6e-300) {
		tmp = t_1;
	} else if (z <= 7.8e-219) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (z <= 2.3e-194) {
		tmp = (x * y) * (a * b);
	} else if (z <= 5.8e-140) {
		tmp = (j * y0) * (y3 * y5);
	} else if (z <= 1.95e-47) {
		tmp = t_1;
	} else if (z <= 1.42e+144) {
		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 = c * (y4 * ((y * y3) - (t * y2)))
	t_2 = i * (z * ((t * c) - (k * y1)))
	tmp = 0
	if z <= -1850.0:
		tmp = t_2
	elif z <= -1.6e-300:
		tmp = t_1
	elif z <= 7.8e-219:
		tmp = k * (y5 * (y0 * -y2))
	elif z <= 2.3e-194:
		tmp = (x * y) * (a * b)
	elif z <= 5.8e-140:
		tmp = (j * y0) * (y3 * y5)
	elif z <= 1.95e-47:
		tmp = t_1
	elif z <= 1.42e+144:
		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(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	t_2 = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))))
	tmp = 0.0
	if (z <= -1850.0)
		tmp = t_2;
	elseif (z <= -1.6e-300)
		tmp = t_1;
	elseif (z <= 7.8e-219)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (z <= 2.3e-194)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (z <= 5.8e-140)
		tmp = Float64(Float64(j * y0) * Float64(y3 * y5));
	elseif (z <= 1.95e-47)
		tmp = t_1;
	elseif (z <= 1.42e+144)
		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 = c * (y4 * ((y * y3) - (t * y2)));
	t_2 = i * (z * ((t * c) - (k * y1)));
	tmp = 0.0;
	if (z <= -1850.0)
		tmp = t_2;
	elseif (z <= -1.6e-300)
		tmp = t_1;
	elseif (z <= 7.8e-219)
		tmp = k * (y5 * (y0 * -y2));
	elseif (z <= 2.3e-194)
		tmp = (x * y) * (a * b);
	elseif (z <= 5.8e-140)
		tmp = (j * y0) * (y3 * y5);
	elseif (z <= 1.95e-47)
		tmp = t_1;
	elseif (z <= 1.42e+144)
		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[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1850.0], t$95$2, If[LessEqual[z, -1.6e-300], t$95$1, If[LessEqual[z, 7.8e-219], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.3e-194], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 5.8e-140], N[(N[(j * y0), $MachinePrecision] * N[(y3 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.95e-47], t$95$1, If[LessEqual[z, 1.42e+144], 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 z < -1850 or 1.42000000000000009e144 < z

   1. Initial program 25.8%

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

   3. Taylor expanded in i around -inf 37.0%

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

   4. Taylor expanded in z around -inf 45.7%

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

   if -1850 < z < -1.60000000000000011e-300 or 5.79999999999999995e-140 < z < 1.94999999999999989e-47

   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 y4 around inf 42.8%

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

   4. Taylor expanded in c around inf 37.6%

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

   if -1.60000000000000011e-300 < z < 7.79999999999999974e-219

   1. Initial program 38.0%

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

   3. Taylor expanded in k around inf 34.3%

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

   4. Taylor expanded in y5 around inf 43.9%

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

   5. Taylor expanded in y0 around inf 43.5%

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

      1. mul-1-neg 43.5%

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

      2. associate-*r* 43.5%

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

      3. distribute-lft-neg-out 43.5%

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

      4. *-commutative 43.5%

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

      5. distribute-lft-neg-in 43.5%

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

   7. Simplified 43.5%

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

   if 7.79999999999999974e-219 < z < 2.30000000000000003e-194

   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 k around 0 30.5%

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

   4. Taylor expanded in b around inf 57.2%

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

   5. Taylor expanded in y around inf 57.3%

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

      1. pow1 57.3%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

   7. Applied egg-rr 57.3%

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

      1. unpow1 57.3%

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

      2. associate-*r* 57.3%

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

   9. Simplified 57.3%

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

   if 2.30000000000000003e-194 < z < 5.79999999999999995e-140

   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 b around inf 33.3%

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

   4. Taylor expanded in j around inf 68.1%

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

   5. Taylor expanded in y5 around inf 47.0%

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

      1. associate-*r* 57.1%

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

   7. Simplified 57.1%

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

   if 1.94999999999999989e-47 < z < 1.42000000000000009e144

   1. Initial program 30.4%

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

   3. Taylor expanded in y4 around inf 48.8%

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

   4. Taylor expanded in b around inf 48.8%

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

4. Final simplification 44.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1850:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-300}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-219}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-194}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;z \leq 5.8 \cdot 10^{-140}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{-47}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.42 \cdot 10^{+144}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 29.4% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_2 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;y4 \leq -2.15 \cdot 10^{+203}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -4.1 \cdot 10^{-77}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -2.6 \cdot 10^{-253}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 4.1 \cdot 10^{-226}:\\ \;\;\;\;a \cdot \left(\left(z \cdot t\right) \cdot \left(-b\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-134}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 4 \cdot 10^{-20}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k)))))
        (t_2 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= y4 -2.15e+203)
     t_2
     (if (<= y4 -4.1e-77)
       t_1
       (if (<= y4 -2.6e-253)
         (* i (* k (- (* y y5) (* z y1))))
         (if (<= y4 4.1e-226)
           (* a (* (* z t) (- b)))
           (if (<= y4 5.2e-134)
             (* b (* j (* x (- y0))))
             (if (<= y4 2.4e-94)
               (* t (* a (* y2 y5)))
               (if (<= y4 4e-20) t_1 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y4 <= -2.15e+203) {
		tmp = t_2;
	} else if (y4 <= -4.1e-77) {
		tmp = t_1;
	} else if (y4 <= -2.6e-253) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y4 <= 4.1e-226) {
		tmp = a * ((z * t) * -b);
	} else if (y4 <= 5.2e-134) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 2.4e-94) {
		tmp = t * (a * (y2 * y5));
	} else if (y4 <= 4e-20) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    t_2 = c * (y4 * ((y * y3) - (t * y2)))
    if (y4 <= (-2.15d+203)) then
        tmp = t_2
    else if (y4 <= (-4.1d-77)) then
        tmp = t_1
    else if (y4 <= (-2.6d-253)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y4 <= 4.1d-226) then
        tmp = a * ((z * t) * -b)
    else if (y4 <= 5.2d-134) then
        tmp = b * (j * (x * -y0))
    else if (y4 <= 2.4d-94) then
        tmp = t * (a * (y2 * y5))
    else if (y4 <= 4d-20) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y4 <= -2.15e+203) {
		tmp = t_2;
	} else if (y4 <= -4.1e-77) {
		tmp = t_1;
	} else if (y4 <= -2.6e-253) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y4 <= 4.1e-226) {
		tmp = a * ((z * t) * -b);
	} else if (y4 <= 5.2e-134) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 2.4e-94) {
		tmp = t * (a * (y2 * y5));
	} else if (y4 <= 4e-20) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	t_2 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if y4 <= -2.15e+203:
		tmp = t_2
	elif y4 <= -4.1e-77:
		tmp = t_1
	elif y4 <= -2.6e-253:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y4 <= 4.1e-226:
		tmp = a * ((z * t) * -b)
	elif y4 <= 5.2e-134:
		tmp = b * (j * (x * -y0))
	elif y4 <= 2.4e-94:
		tmp = t * (a * (y2 * y5))
	elif y4 <= 4e-20:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	t_2 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (y4 <= -2.15e+203)
		tmp = t_2;
	elseif (y4 <= -4.1e-77)
		tmp = t_1;
	elseif (y4 <= -2.6e-253)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y4 <= 4.1e-226)
		tmp = Float64(a * Float64(Float64(z * t) * Float64(-b)));
	elseif (y4 <= 5.2e-134)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y4 <= 2.4e-94)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y4 <= 4e-20)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	t_2 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (y4 <= -2.15e+203)
		tmp = t_2;
	elseif (y4 <= -4.1e-77)
		tmp = t_1;
	elseif (y4 <= -2.6e-253)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y4 <= 4.1e-226)
		tmp = a * ((z * t) * -b);
	elseif (y4 <= 5.2e-134)
		tmp = b * (j * (x * -y0));
	elseif (y4 <= 2.4e-94)
		tmp = t * (a * (y2 * y5));
	elseif (y4 <= 4e-20)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.15e+203], t$95$2, If[LessEqual[y4, -4.1e-77], t$95$1, If[LessEqual[y4, -2.6e-253], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.1e-226], N[(a * N[(N[(z * t), $MachinePrecision] * (-b)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.2e-134], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.4e-94], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4e-20], t$95$1, t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y4 < -2.15e203 or 3.99999999999999978e-20 < y4

   1. Initial program 21.6%

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

   3. Taylor expanded in y4 around inf 52.7%

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

   4. Taylor expanded in c around inf 46.1%

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

   if -2.15e203 < y4 < -4.09999999999999962e-77 or 2.4e-94 < y4 < 3.99999999999999978e-20

   1. Initial program 35.9%

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

   3. Taylor expanded in y4 around inf 46.2%

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

   4. Taylor expanded in b around inf 45.3%

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

   if -4.09999999999999962e-77 < y4 < -2.6e-253

   1. Initial program 49.0%

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

   3. Taylor expanded in k around inf 40.0%

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

   4. Taylor expanded in i around inf 32.3%

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

   if -2.6e-253 < y4 < 4.10000000000000037e-226

   1. Initial program 35.0%

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

   3. Taylor expanded in k around 0 30.8%

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

   4. Taylor expanded in b around inf 24.6%

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

   5. Taylor expanded in z around inf 32.2%

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

      1. mul-1-neg 32.2%

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

      2. distribute-rgt-neg-in 32.2%

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

   7. Simplified 32.2%

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

   if 4.10000000000000037e-226 < y4 < 5.20000000000000045e-134

   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 k around 0 28.1%

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

   4. Taylor expanded in b around inf 44.8%

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

   5. Taylor expanded in y0 around inf 48.9%

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

   if 5.20000000000000045e-134 < y4 < 2.4e-94

   1. Initial program 33.3%

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

   3. Taylor expanded in y2 around inf 56.9%

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

   4. Taylor expanded in t around inf 56.6%

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

   5. Taylor expanded in a around inf 56.4%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.15 \cdot 10^{+203}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.1 \cdot 10^{-77}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.6 \cdot 10^{-253}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 4.1 \cdot 10^{-226}:\\ \;\;\;\;a \cdot \left(\left(z \cdot t\right) \cdot \left(-b\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-134}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 4 \cdot 10^{-20}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 28.5% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_2 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;y4 \leq -2.2 \cdot 10^{+204}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -7 \cdot 10^{-30}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 2.5 \cdot 10^{-244}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{-136}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{-87}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 4.2 \cdot 10^{-21}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k)))))
        (t_2 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= y4 -2.2e+204)
     t_2
     (if (<= y4 -7e-30)
       t_1
       (if (<= y4 2.5e-244)
         (* k (* y5 (* y0 (- y2))))
         (if (<= y4 1.65e-136)
           (* b (* j (* x (- y0))))
           (if (<= y4 1.4e-87)
             (* t (* a (* y2 y5)))
             (if (<= y4 4.2e-21) t_1 t_2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y4 <= -2.2e+204) {
		tmp = t_2;
	} else if (y4 <= -7e-30) {
		tmp = t_1;
	} else if (y4 <= 2.5e-244) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y4 <= 1.65e-136) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 1.4e-87) {
		tmp = t * (a * (y2 * y5));
	} else if (y4 <= 4.2e-21) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    t_2 = c * (y4 * ((y * y3) - (t * y2)))
    if (y4 <= (-2.2d+204)) then
        tmp = t_2
    else if (y4 <= (-7d-30)) then
        tmp = t_1
    else if (y4 <= 2.5d-244) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y4 <= 1.65d-136) then
        tmp = b * (j * (x * -y0))
    else if (y4 <= 1.4d-87) then
        tmp = t * (a * (y2 * y5))
    else if (y4 <= 4.2d-21) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y4 <= -2.2e+204) {
		tmp = t_2;
	} else if (y4 <= -7e-30) {
		tmp = t_1;
	} else if (y4 <= 2.5e-244) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y4 <= 1.65e-136) {
		tmp = b * (j * (x * -y0));
	} else if (y4 <= 1.4e-87) {
		tmp = t * (a * (y2 * y5));
	} else if (y4 <= 4.2e-21) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	t_2 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if y4 <= -2.2e+204:
		tmp = t_2
	elif y4 <= -7e-30:
		tmp = t_1
	elif y4 <= 2.5e-244:
		tmp = k * (y5 * (y0 * -y2))
	elif y4 <= 1.65e-136:
		tmp = b * (j * (x * -y0))
	elif y4 <= 1.4e-87:
		tmp = t * (a * (y2 * y5))
	elif y4 <= 4.2e-21:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	t_2 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (y4 <= -2.2e+204)
		tmp = t_2;
	elseif (y4 <= -7e-30)
		tmp = t_1;
	elseif (y4 <= 2.5e-244)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y4 <= 1.65e-136)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y4 <= 1.4e-87)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y4 <= 4.2e-21)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	t_2 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (y4 <= -2.2e+204)
		tmp = t_2;
	elseif (y4 <= -7e-30)
		tmp = t_1;
	elseif (y4 <= 2.5e-244)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y4 <= 1.65e-136)
		tmp = b * (j * (x * -y0));
	elseif (y4 <= 1.4e-87)
		tmp = t * (a * (y2 * y5));
	elseif (y4 <= 4.2e-21)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.2e+204], t$95$2, If[LessEqual[y4, -7e-30], t$95$1, If[LessEqual[y4, 2.5e-244], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.65e-136], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.4e-87], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.2e-21], t$95$1, t$95$2]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y4 < -2.20000000000000011e204 or 4.20000000000000025e-21 < y4

   1. Initial program 21.6%

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

   3. Taylor expanded in y4 around inf 52.7%

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

   4. Taylor expanded in c around inf 46.1%

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

   if -2.20000000000000011e204 < y4 < -7.0000000000000006e-30 or 1.4e-87 < y4 < 4.20000000000000025e-21

   1. Initial program 35.4%

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

   3. Taylor expanded in y4 around inf 47.6%

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

   4. Taylor expanded in b around inf 51.2%

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

   if -7.0000000000000006e-30 < y4 < 2.49999999999999999e-244

   1. Initial program 42.4%

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

   3. Taylor expanded in k around inf 31.6%

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

   4. Taylor expanded in y5 around inf 30.5%

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

   5. Taylor expanded in y0 around inf 23.6%

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

      1. mul-1-neg 23.6%

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

      2. associate-*r* 23.6%

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

      3. distribute-lft-neg-out 23.6%

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

      4. *-commutative 23.6%

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

      5. distribute-lft-neg-in 23.6%

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

   7. Simplified 23.6%

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

   if 2.49999999999999999e-244 < y4 < 1.65000000000000009e-136

   1. Initial program 32.0%

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

   3. Taylor expanded in k around 0 28.8%

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

   4. Taylor expanded in b around inf 43.7%

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

   5. Taylor expanded in y0 around inf 43.9%

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

   if 1.65000000000000009e-136 < y4 < 1.4e-87

   1. Initial program 33.3%

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

   3. Taylor expanded in y2 around inf 56.9%

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

   4. Taylor expanded in t around inf 56.6%

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

   5. Taylor expanded in a around inf 56.4%

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

4. Final simplification 41.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.2 \cdot 10^{+204}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -7 \cdot 10^{-30}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq 2.5 \cdot 10^{-244}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.65 \cdot 10^{-136}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{-87}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 4.2 \cdot 10^{-21}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 20.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{if}\;j \leq -9.5 \cdot 10^{+227}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.95 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{+128}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-283}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 8.2 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 22000000000:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (* t j)))))
   (if (<= j -9.5e+227)
     (* j (* y0 (* y3 y5)))
     (if (<= j -1.95e+169)
       (* a (* y (* x b)))
       (if (<= j -7e+128)
         t_1
         (if (<= j -3.2e-283)
           (* k (* y4 (* y1 y2)))
           (if (<= j 8.2e-148)
             (* a (* (* x y) b))
             (if (<= j 22000000000.0) (* y1 (* y4 (* k y2))) 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 * (y4 * (t * j));
	double tmp;
	if (j <= -9.5e+227) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -1.95e+169) {
		tmp = a * (y * (x * b));
	} else if (j <= -7e+128) {
		tmp = t_1;
	} else if (j <= -3.2e-283) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 8.2e-148) {
		tmp = a * ((x * y) * b);
	} else if (j <= 22000000000.0) {
		tmp = y1 * (y4 * (k * y2));
	} 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 * (y4 * (t * j))
    if (j <= (-9.5d+227)) then
        tmp = j * (y0 * (y3 * y5))
    else if (j <= (-1.95d+169)) then
        tmp = a * (y * (x * b))
    else if (j <= (-7d+128)) then
        tmp = t_1
    else if (j <= (-3.2d-283)) then
        tmp = k * (y4 * (y1 * y2))
    else if (j <= 8.2d-148) then
        tmp = a * ((x * y) * b)
    else if (j <= 22000000000.0d0) then
        tmp = y1 * (y4 * (k * y2))
    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 * (y4 * (t * j));
	double tmp;
	if (j <= -9.5e+227) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -1.95e+169) {
		tmp = a * (y * (x * b));
	} else if (j <= -7e+128) {
		tmp = t_1;
	} else if (j <= -3.2e-283) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 8.2e-148) {
		tmp = a * ((x * y) * b);
	} else if (j <= 22000000000.0) {
		tmp = y1 * (y4 * (k * y2));
	} 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 * (y4 * (t * j))
	tmp = 0
	if j <= -9.5e+227:
		tmp = j * (y0 * (y3 * y5))
	elif j <= -1.95e+169:
		tmp = a * (y * (x * b))
	elif j <= -7e+128:
		tmp = t_1
	elif j <= -3.2e-283:
		tmp = k * (y4 * (y1 * y2))
	elif j <= 8.2e-148:
		tmp = a * ((x * y) * b)
	elif j <= 22000000000.0:
		tmp = y1 * (y4 * (k * y2))
	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(y4 * Float64(t * j)))
	tmp = 0.0
	if (j <= -9.5e+227)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (j <= -1.95e+169)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (j <= -7e+128)
		tmp = t_1;
	elseif (j <= -3.2e-283)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (j <= 8.2e-148)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (j <= 22000000000.0)
		tmp = Float64(y1 * Float64(y4 * Float64(k * y2)));
	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 * (y4 * (t * j));
	tmp = 0.0;
	if (j <= -9.5e+227)
		tmp = j * (y0 * (y3 * y5));
	elseif (j <= -1.95e+169)
		tmp = a * (y * (x * b));
	elseif (j <= -7e+128)
		tmp = t_1;
	elseif (j <= -3.2e-283)
		tmp = k * (y4 * (y1 * y2));
	elseif (j <= 8.2e-148)
		tmp = a * ((x * y) * b);
	elseif (j <= 22000000000.0)
		tmp = y1 * (y4 * (k * y2));
	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[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -9.5e+227], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.95e+169], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7e+128], t$95$1, If[LessEqual[j, -3.2e-283], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 8.2e-148], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 22000000000.0], N[(y1 * N[(y4 * N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -9.5000000000000005e227

   1. Initial program 24.9%

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

   3. Taylor expanded in i around -inf 49.9%

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

   4. Taylor expanded in y3 around inf 67.5%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 67.5%

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

   6. Simplified 67.5%

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

   7. Taylor expanded in y1 around 0 49.7%

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

   if -9.5000000000000005e227 < j < -1.94999999999999991e169

   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 k around 0 25.0%

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

   4. Taylor expanded in b around inf 17.4%

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

   5. Taylor expanded in y around inf 34.9%

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

      1. associate-*r* 43.0%

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

   7. Simplified 43.0%

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

   if -1.94999999999999991e169 < j < -6.99999999999999937e128 or 2.2e10 < j

   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 y4 around inf 47.0%

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

   4. Taylor expanded in b around inf 35.4%

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

   5. Taylor expanded in j around inf 39.9%

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

   if -6.99999999999999937e128 < j < -3.20000000000000012e-283

   1. Initial program 30.2%

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

   3. Taylor expanded in y4 around inf 36.3%

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

   4. Taylor expanded in y1 around inf 26.1%

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

   5. Taylor expanded in k around inf 26.1%

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

      1. associate-*r* 27.1%

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

   7. Simplified 27.1%

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

   if -3.20000000000000012e-283 < j < 8.2000000000000005e-148

   1. Initial program 38.9%

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

   3. Taylor expanded in k around 0 24.7%

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

   4. Taylor expanded in b around inf 37.8%

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

   5. Taylor expanded in y around inf 26.0%

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

   if 8.2000000000000005e-148 < j < 2.2e10

   1. Initial program 46.6%

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

   3. Taylor expanded in y4 around inf 50.7%

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

   4. Taylor expanded in y1 around inf 34.6%

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

   5. Taylor expanded in k around inf 31.5%

      \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2\right)}\right) \]
3. Recombined 6 regimes into one program.

4. Final simplification 33.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -9.5 \cdot 10^{+227}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.95 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{+128}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-283}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 8.2 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 22000000000:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 20.7% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{if}\;j \leq -7.8 \cdot 10^{+223}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -7.5 \cdot 10^{+168}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -4.6 \cdot 10^{+129}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -3 \cdot 10^{-284}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{-182}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 6.2 \cdot 10^{+47}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (* t j)))))
   (if (<= j -7.8e+223)
     (* j (* y0 (* y3 y5)))
     (if (<= j -7.5e+168)
       (* a (* y (* x b)))
       (if (<= j -4.6e+129)
         t_1
         (if (<= j -3e-284)
           (* k (* y4 (* y1 y2)))
           (if (<= j 3.6e-182)
             (* a (* (* x y) b))
             (if (<= j 6.2e+47) (* t (* a (* y2 y5))) t_1))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * (t * j));
	double tmp;
	if (j <= -7.8e+223) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -7.5e+168) {
		tmp = a * (y * (x * b));
	} else if (j <= -4.6e+129) {
		tmp = t_1;
	} else if (j <= -3e-284) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 3.6e-182) {
		tmp = a * ((x * y) * b);
	} else if (j <= 6.2e+47) {
		tmp = t * (a * (y2 * y5));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y4 * (t * j))
    if (j <= (-7.8d+223)) then
        tmp = j * (y0 * (y3 * y5))
    else if (j <= (-7.5d+168)) then
        tmp = a * (y * (x * b))
    else if (j <= (-4.6d+129)) then
        tmp = t_1
    else if (j <= (-3d-284)) then
        tmp = k * (y4 * (y1 * y2))
    else if (j <= 3.6d-182) then
        tmp = a * ((x * y) * b)
    else if (j <= 6.2d+47) then
        tmp = t * (a * (y2 * y5))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * (t * j));
	double tmp;
	if (j <= -7.8e+223) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -7.5e+168) {
		tmp = a * (y * (x * b));
	} else if (j <= -4.6e+129) {
		tmp = t_1;
	} else if (j <= -3e-284) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 3.6e-182) {
		tmp = a * ((x * y) * b);
	} else if (j <= 6.2e+47) {
		tmp = t * (a * (y2 * y5));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * (t * j))
	tmp = 0
	if j <= -7.8e+223:
		tmp = j * (y0 * (y3 * y5))
	elif j <= -7.5e+168:
		tmp = a * (y * (x * b))
	elif j <= -4.6e+129:
		tmp = t_1
	elif j <= -3e-284:
		tmp = k * (y4 * (y1 * y2))
	elif j <= 3.6e-182:
		tmp = a * ((x * y) * b)
	elif j <= 6.2e+47:
		tmp = t * (a * (y2 * y5))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(t * j)))
	tmp = 0.0
	if (j <= -7.8e+223)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (j <= -7.5e+168)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (j <= -4.6e+129)
		tmp = t_1;
	elseif (j <= -3e-284)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (j <= 3.6e-182)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (j <= 6.2e+47)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * (t * j));
	tmp = 0.0;
	if (j <= -7.8e+223)
		tmp = j * (y0 * (y3 * y5));
	elseif (j <= -7.5e+168)
		tmp = a * (y * (x * b));
	elseif (j <= -4.6e+129)
		tmp = t_1;
	elseif (j <= -3e-284)
		tmp = k * (y4 * (y1 * y2));
	elseif (j <= 3.6e-182)
		tmp = a * ((x * y) * b);
	elseif (j <= 6.2e+47)
		tmp = t * (a * (y2 * y5));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -7.8e+223], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7.5e+168], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.6e+129], t$95$1, If[LessEqual[j, -3e-284], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.6e-182], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6.2e+47], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -7.7999999999999997e223

   1. Initial program 24.9%

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

   3. Taylor expanded in i around -inf 49.9%

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

   4. Taylor expanded in y3 around inf 67.5%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 67.5%

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

   6. Simplified 67.5%

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

   7. Taylor expanded in y1 around 0 49.7%

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

   if -7.7999999999999997e223 < j < -7.4999999999999999e168

   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 k around 0 25.0%

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

   4. Taylor expanded in b around inf 17.4%

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

   5. Taylor expanded in y around inf 34.9%

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

      1. associate-*r* 43.0%

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

   7. Simplified 43.0%

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

   if -7.4999999999999999e168 < j < -4.59999999999999981e129 or 6.2000000000000001e47 < j

   1. Initial program 26.8%

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

   3. Taylor expanded in y4 around inf 47.4%

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

   4. Taylor expanded in b around inf 34.4%

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

   5. Taylor expanded in j around inf 39.4%

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

   if -4.59999999999999981e129 < j < -3e-284

   1. Initial program 30.2%

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

   3. Taylor expanded in y4 around inf 36.3%

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

   4. Taylor expanded in y1 around inf 26.1%

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

   5. Taylor expanded in k around inf 26.1%

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

      1. associate-*r* 27.1%

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

   7. Simplified 27.1%

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

   if -3e-284 < j < 3.59999999999999977e-182

   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 k around 0 24.6%

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

   4. Taylor expanded in b around inf 36.3%

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

   5. Taylor expanded in y around inf 28.6%

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

   if 3.59999999999999977e-182 < j < 6.2000000000000001e47

   1. Initial program 41.4%

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

   3. Taylor expanded in y2 around inf 51.8%

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

   4. Taylor expanded in t around inf 35.5%

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

   5. Taylor expanded in a around inf 28.2%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 32.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -7.8 \cdot 10^{+223}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -7.5 \cdot 10^{+168}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -4.6 \cdot 10^{+129}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -3 \cdot 10^{-284}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{-182}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 6.2 \cdot 10^{+47}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 20.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{if}\;j \leq -3.7 \cdot 10^{+224}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.5 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -4.15 \cdot 10^{+133}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -9 \cdot 10^{-286}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-149}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 14000000000000:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (* t j)))))
   (if (<= j -3.7e+224)
     (* j (* y0 (* y3 y5)))
     (if (<= j -1.5e+169)
       (* a (* y (* x b)))
       (if (<= j -4.15e+133)
         t_1
         (if (<= j -9e-286)
           (* k (* y4 (* y1 y2)))
           (if (<= j 4.6e-149)
             (* a (* (* x y) b))
             (if (<= j 14000000000000.0) (* k (* y1 (* y2 y4))) t_1))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * (t * j));
	double tmp;
	if (j <= -3.7e+224) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -1.5e+169) {
		tmp = a * (y * (x * b));
	} else if (j <= -4.15e+133) {
		tmp = t_1;
	} else if (j <= -9e-286) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 4.6e-149) {
		tmp = a * ((x * y) * b);
	} else if (j <= 14000000000000.0) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y4 * (t * j))
    if (j <= (-3.7d+224)) then
        tmp = j * (y0 * (y3 * y5))
    else if (j <= (-1.5d+169)) then
        tmp = a * (y * (x * b))
    else if (j <= (-4.15d+133)) then
        tmp = t_1
    else if (j <= (-9d-286)) then
        tmp = k * (y4 * (y1 * y2))
    else if (j <= 4.6d-149) then
        tmp = a * ((x * y) * b)
    else if (j <= 14000000000000.0d0) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * (t * j));
	double tmp;
	if (j <= -3.7e+224) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -1.5e+169) {
		tmp = a * (y * (x * b));
	} else if (j <= -4.15e+133) {
		tmp = t_1;
	} else if (j <= -9e-286) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 4.6e-149) {
		tmp = a * ((x * y) * b);
	} else if (j <= 14000000000000.0) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * (t * j))
	tmp = 0
	if j <= -3.7e+224:
		tmp = j * (y0 * (y3 * y5))
	elif j <= -1.5e+169:
		tmp = a * (y * (x * b))
	elif j <= -4.15e+133:
		tmp = t_1
	elif j <= -9e-286:
		tmp = k * (y4 * (y1 * y2))
	elif j <= 4.6e-149:
		tmp = a * ((x * y) * b)
	elif j <= 14000000000000.0:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(t * j)))
	tmp = 0.0
	if (j <= -3.7e+224)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (j <= -1.5e+169)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (j <= -4.15e+133)
		tmp = t_1;
	elseif (j <= -9e-286)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (j <= 4.6e-149)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (j <= 14000000000000.0)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * (t * j));
	tmp = 0.0;
	if (j <= -3.7e+224)
		tmp = j * (y0 * (y3 * y5));
	elseif (j <= -1.5e+169)
		tmp = a * (y * (x * b));
	elseif (j <= -4.15e+133)
		tmp = t_1;
	elseif (j <= -9e-286)
		tmp = k * (y4 * (y1 * y2));
	elseif (j <= 4.6e-149)
		tmp = a * ((x * y) * b);
	elseif (j <= 14000000000000.0)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -3.7e+224], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.5e+169], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.15e+133], t$95$1, If[LessEqual[j, -9e-286], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.6e-149], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 14000000000000.0], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -3.70000000000000003e224

   1. Initial program 24.9%

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

   3. Taylor expanded in i around -inf 49.9%

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

   4. Taylor expanded in y3 around inf 67.5%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 67.5%

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

   6. Simplified 67.5%

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

   7. Taylor expanded in y1 around 0 49.7%

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

   if -3.70000000000000003e224 < j < -1.5e169

   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 k around 0 25.0%

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

   4. Taylor expanded in b around inf 17.4%

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

   5. Taylor expanded in y around inf 34.9%

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

      1. associate-*r* 43.0%

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

   7. Simplified 43.0%

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

   if -1.5e169 < j < -4.14999999999999976e133 or 1.4e13 < j

   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 y4 around inf 47.0%

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

   4. Taylor expanded in b around inf 35.4%

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

   5. Taylor expanded in j around inf 39.9%

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

   if -4.14999999999999976e133 < j < -9.0000000000000001e-286

   1. Initial program 30.2%

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

   3. Taylor expanded in y4 around inf 36.3%

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

   4. Taylor expanded in y1 around inf 26.1%

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

   5. Taylor expanded in k around inf 26.1%

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

      1. associate-*r* 27.1%

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

   7. Simplified 27.1%

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

   if -9.0000000000000001e-286 < j < 4.5999999999999999e-149

   1. Initial program 38.9%

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

   3. Taylor expanded in k around 0 24.7%

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

   4. Taylor expanded in b around inf 37.8%

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

   5. Taylor expanded in y around inf 26.0%

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

   if 4.5999999999999999e-149 < j < 1.4e13

   1. Initial program 46.6%

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

   3. Taylor expanded in y4 around inf 50.7%

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

   4. Taylor expanded in y1 around inf 34.6%

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

   5. Taylor expanded in k around inf 25.8%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 32.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -3.7 \cdot 10^{+224}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.5 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -4.15 \cdot 10^{+133}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -9 \cdot 10^{-286}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-149}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 14000000000000:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 20.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ t_2 := k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{if}\;j \leq -4.8 \cdot 10^{+224}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.95 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{+133}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -6.2 \cdot 10^{-294}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 7500000000:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (* t j)))) (t_2 (* k (* y1 (* y2 y4)))))
   (if (<= j -4.8e+224)
     (* j (* y0 (* y3 y5)))
     (if (<= j -1.95e+169)
       (* a (* y (* x b)))
       (if (<= j -7e+133)
         t_1
         (if (<= j -6.2e-294)
           t_2
           (if (<= j 4.8e-148)
             (* a (* (* x y) b))
             (if (<= j 7500000000.0) 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 = b * (y4 * (t * j));
	double t_2 = k * (y1 * (y2 * y4));
	double tmp;
	if (j <= -4.8e+224) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -1.95e+169) {
		tmp = a * (y * (x * b));
	} else if (j <= -7e+133) {
		tmp = t_1;
	} else if (j <= -6.2e-294) {
		tmp = t_2;
	} else if (j <= 4.8e-148) {
		tmp = a * ((x * y) * b);
	} else if (j <= 7500000000.0) {
		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 = b * (y4 * (t * j))
    t_2 = k * (y1 * (y2 * y4))
    if (j <= (-4.8d+224)) then
        tmp = j * (y0 * (y3 * y5))
    else if (j <= (-1.95d+169)) then
        tmp = a * (y * (x * b))
    else if (j <= (-7d+133)) then
        tmp = t_1
    else if (j <= (-6.2d-294)) then
        tmp = t_2
    else if (j <= 4.8d-148) then
        tmp = a * ((x * y) * b)
    else if (j <= 7500000000.0d0) 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 = b * (y4 * (t * j));
	double t_2 = k * (y1 * (y2 * y4));
	double tmp;
	if (j <= -4.8e+224) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= -1.95e+169) {
		tmp = a * (y * (x * b));
	} else if (j <= -7e+133) {
		tmp = t_1;
	} else if (j <= -6.2e-294) {
		tmp = t_2;
	} else if (j <= 4.8e-148) {
		tmp = a * ((x * y) * b);
	} else if (j <= 7500000000.0) {
		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 = b * (y4 * (t * j))
	t_2 = k * (y1 * (y2 * y4))
	tmp = 0
	if j <= -4.8e+224:
		tmp = j * (y0 * (y3 * y5))
	elif j <= -1.95e+169:
		tmp = a * (y * (x * b))
	elif j <= -7e+133:
		tmp = t_1
	elif j <= -6.2e-294:
		tmp = t_2
	elif j <= 4.8e-148:
		tmp = a * ((x * y) * b)
	elif j <= 7500000000.0:
		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(b * Float64(y4 * Float64(t * j)))
	t_2 = Float64(k * Float64(y1 * Float64(y2 * y4)))
	tmp = 0.0
	if (j <= -4.8e+224)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (j <= -1.95e+169)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (j <= -7e+133)
		tmp = t_1;
	elseif (j <= -6.2e-294)
		tmp = t_2;
	elseif (j <= 4.8e-148)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (j <= 7500000000.0)
		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 = b * (y4 * (t * j));
	t_2 = k * (y1 * (y2 * y4));
	tmp = 0.0;
	if (j <= -4.8e+224)
		tmp = j * (y0 * (y3 * y5));
	elseif (j <= -1.95e+169)
		tmp = a * (y * (x * b));
	elseif (j <= -7e+133)
		tmp = t_1;
	elseif (j <= -6.2e-294)
		tmp = t_2;
	elseif (j <= 4.8e-148)
		tmp = a * ((x * y) * b);
	elseif (j <= 7500000000.0)
		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[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -4.8e+224], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.95e+169], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7e+133], t$95$1, If[LessEqual[j, -6.2e-294], t$95$2, If[LessEqual[j, 4.8e-148], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 7500000000.0], t$95$2, t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if j < -4.80000000000000002e224

   1. Initial program 24.9%

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

   3. Taylor expanded in i around -inf 49.9%

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

   4. Taylor expanded in y3 around inf 67.5%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 67.5%

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

   6. Simplified 67.5%

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

   7. Taylor expanded in y1 around 0 49.7%

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

   if -4.80000000000000002e224 < j < -1.94999999999999991e169

   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 k around 0 25.0%

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

   4. Taylor expanded in b around inf 17.4%

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

   5. Taylor expanded in y around inf 34.9%

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

      1. associate-*r* 43.0%

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

   7. Simplified 43.0%

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

   if -1.94999999999999991e169 < j < -6.9999999999999997e133 or 7.5e9 < j

   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 y4 around inf 47.0%

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

   4. Taylor expanded in b around inf 35.4%

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

   5. Taylor expanded in j around inf 39.9%

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

   if -6.9999999999999997e133 < j < -6.20000000000000007e-294 or 4.8000000000000002e-148 < j < 7.5e9

   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 y4 around inf 39.9%

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

   4. Taylor expanded in y1 around inf 28.2%

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

   5. Taylor expanded in k around inf 26.1%

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

   if -6.20000000000000007e-294 < j < 4.8000000000000002e-148

   1. Initial program 38.9%

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

   3. Taylor expanded in k around 0 24.7%

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

   4. Taylor expanded in b around inf 37.8%

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

   5. Taylor expanded in y around inf 26.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -4.8 \cdot 10^{+224}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.95 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{+133}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -6.2 \cdot 10^{-294}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 7500000000:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 30.0% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -9.5 \cdot 10^{+132}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.2 \cdot 10^{+27}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y1 \leq -1.4 \cdot 10^{-90}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 1.6 \cdot 10^{-291}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 2 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -9.5e+132)
   (* y1 (* y4 (* k (- y2 (* j (/ y3 k))))))
   (if (<= y1 -1.2e+27)
     (* (* j y0) (- (* y3 y5) (* x b)))
     (if (<= y1 -1.4e-90)
       (* a (* y2 (- (* t y5) (* x y1))))
       (if (<= y1 1.6e-291)
         (* (* a b) (- (* x y) (* z t)))
         (if (<= y1 2e-27)
           (* y (* y4 (- (* c y3) (* b k))))
           (* y2 (* y4 (- (* k y1) (* t 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 tmp;
	if (y1 <= -9.5e+132) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -1.2e+27) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y1 <= -1.4e-90) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (y1 <= 1.6e-291) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 2e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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) :: tmp
    if (y1 <= (-9.5d+132)) then
        tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
    else if (y1 <= (-1.2d+27)) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else if (y1 <= (-1.4d-90)) then
        tmp = a * (y2 * ((t * y5) - (x * y1)))
    else if (y1 <= 1.6d-291) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= 2d-27) then
        tmp = y * (y4 * ((c * y3) - (b * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 tmp;
	if (y1 <= -9.5e+132) {
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	} else if (y1 <= -1.2e+27) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y1 <= -1.4e-90) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (y1 <= 1.6e-291) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 2e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -9.5e+132:
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))))
	elif y1 <= -1.2e+27:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	elif y1 <= -1.4e-90:
		tmp = a * (y2 * ((t * y5) - (x * y1)))
	elif y1 <= 1.6e-291:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= 2e-27:
		tmp = y * (y4 * ((c * y3) - (b * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -9.5e+132)
		tmp = Float64(y1 * Float64(y4 * Float64(k * Float64(y2 - Float64(j * Float64(y3 / k))))));
	elseif (y1 <= -1.2e+27)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	elseif (y1 <= -1.4e-90)
		tmp = Float64(a * Float64(y2 * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (y1 <= 1.6e-291)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= 2e-27)
		tmp = Float64(y * Float64(y4 * Float64(Float64(c * y3) - Float64(b * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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)
	tmp = 0.0;
	if (y1 <= -9.5e+132)
		tmp = y1 * (y4 * (k * (y2 - (j * (y3 / k)))));
	elseif (y1 <= -1.2e+27)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	elseif (y1 <= -1.4e-90)
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	elseif (y1 <= 1.6e-291)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= 2e-27)
		tmp = y * (y4 * ((c * y3) - (b * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -9.5e+132], N[(y1 * N[(y4 * N[(k * N[(y2 - N[(j * N[(y3 / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.2e+27], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.4e-90], N[(a * N[(y2 * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.6e-291], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2e-27], N[(y * N[(y4 * N[(N[(c * y3), $MachinePrecision] - N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y1 < -9.5000000000000005e132

   1. Initial program 28.6%

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

   3. Taylor expanded in y4 around inf 49.0%

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

   4. Taylor expanded in y1 around inf 49.3%

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

   5. Taylor expanded in k around inf 52.0%

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

      1. mul-1-neg 52.0%

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

      2. unsub-neg 52.0%

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

      3. associate-/l* 52.0%

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

   7. Simplified 52.0%

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

   if -9.5000000000000005e132 < y1 < -1.19999999999999999e27

   1. Initial program 42.1%

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

   3. Taylor expanded in b around inf 32.7%

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

   4. Taylor expanded in j around inf 48.9%

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

   5. Taylor expanded in y4 around 0 53.8%

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

      1. +-commutative 53.8%

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

      2. *-commutative 53.8%

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

      3. mul-1-neg 53.8%

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

      4. associate-*r* 53.8%

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

      5. distribute-lft-neg-in 53.8%

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

      6. mul-1-neg 53.8%

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

      7. distribute-rgt-in 53.8%

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

      8. +-commutative 53.8%

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

      9. associate-*r* 53.8%

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

      10. +-commutative 53.8%

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

      11. mul-1-neg 53.8%

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

      12. unsub-neg 53.8%

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

   7. Simplified 53.8%

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

   if -1.19999999999999999e27 < y1 < -1.3999999999999999e-90

   1. Initial program 40.6%

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

   3. Taylor expanded in y2 around inf 45.5%

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

   4. Taylor expanded in a around -inf 45.2%

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

      1. mul-1-neg 45.2%

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

   6. Simplified 45.2%

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

   if -1.3999999999999999e-90 < y1 < 1.6000000000000001e-291

   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 inf 51.5%

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

   4. Taylor expanded in a around inf 49.8%

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

      1. associate-*r* 39.7%

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

   6. Simplified 39.7%

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

   if 1.6000000000000001e-291 < y1 < 2.0000000000000001e-27

   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 y4 around inf 45.6%

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

   4. Taylor expanded in y around -inf 42.6%

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

      1. mul-1-neg 42.6%

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

   6. Simplified 42.6%

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

   if 2.0000000000000001e-27 < y1

   1. Initial program 23.0%

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

   3. Taylor expanded in y4 around inf 43.3%

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

   4. Taylor expanded in y2 around inf 52.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 47.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -9.5 \cdot 10^{+132}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot \left(y2 - j \cdot \frac{y3}{k}\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.2 \cdot 10^{+27}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y1 \leq -1.4 \cdot 10^{-90}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 1.6 \cdot 10^{-291}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 2 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 29.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -2.15 \cdot 10^{-145}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 7.8 \cdot 10^{-282}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 9 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 2.8 \cdot 10^{-166}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 5.1 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -2.15e-145)
   (* y2 (* k (- (* y1 y4) (* y0 y5))))
   (if (<= y1 7.8e-282)
     (* (* a b) (- (* x y) (* z t)))
     (if (<= y1 9e-194)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= y1 2.8e-166)
         (* i (* z (- (* t c) (* k y1))))
         (if (<= y1 5.1e-27)
           (* y (* y4 (- (* c y3) (* b k))))
           (* y2 (* y4 (- (* k y1) (* t 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 tmp;
	if (y1 <= -2.15e-145) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 7.8e-282) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 9e-194) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 2.8e-166) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y1 <= 5.1e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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) :: tmp
    if (y1 <= (-2.15d-145)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (y1 <= 7.8d-282) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= 9d-194) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y1 <= 2.8d-166) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y1 <= 5.1d-27) then
        tmp = y * (y4 * ((c * y3) - (b * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 tmp;
	if (y1 <= -2.15e-145) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 7.8e-282) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 9e-194) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 2.8e-166) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y1 <= 5.1e-27) {
		tmp = y * (y4 * ((c * y3) - (b * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -2.15e-145:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif y1 <= 7.8e-282:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= 9e-194:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y1 <= 2.8e-166:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y1 <= 5.1e-27:
		tmp = y * (y4 * ((c * y3) - (b * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -2.15e-145)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y1 <= 7.8e-282)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= 9e-194)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y1 <= 2.8e-166)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y1 <= 5.1e-27)
		tmp = Float64(y * Float64(y4 * Float64(Float64(c * y3) - Float64(b * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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)
	tmp = 0.0;
	if (y1 <= -2.15e-145)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (y1 <= 7.8e-282)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= 9e-194)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y1 <= 2.8e-166)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y1 <= 5.1e-27)
		tmp = y * (y4 * ((c * y3) - (b * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -2.15e-145], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.8e-282], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 9e-194], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.8e-166], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 5.1e-27], N[(y * N[(y4 * N[(N[(c * y3), $MachinePrecision] - N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y1 < -2.15e-145

   1. Initial program 36.2%

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

   3. Taylor expanded in y2 around inf 42.5%

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

   4. Taylor expanded in k around inf 40.6%

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

   if -2.15e-145 < y1 < 7.80000000000000076e-282

   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 inf 54.7%

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

   4. Taylor expanded in a around inf 58.4%

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

      1. associate-*r* 46.7%

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

   6. Simplified 46.7%

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

   if 7.80000000000000076e-282 < y1 < 8.9999999999999997e-194

   1. Initial program 38.5%

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

   3. Taylor expanded in y4 around inf 44.3%

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

   4. Taylor expanded in c around inf 39.4%

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

   if 8.9999999999999997e-194 < y1 < 2.7999999999999999e-166

   1. Initial program 44.4%

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

   3. Taylor expanded in i around -inf 67.5%

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

   4. Taylor expanded in z around -inf 56.7%

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

   if 2.7999999999999999e-166 < y1 < 5.0999999999999999e-27

   1. Initial program 30.3%

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

   3. Taylor expanded in y4 around inf 51.9%

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

   4. Taylor expanded in y around -inf 55.1%

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

      1. mul-1-neg 55.1%

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

   6. Simplified 55.1%

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

   if 5.0999999999999999e-27 < y1

   1. Initial program 23.0%

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

   3. Taylor expanded in y4 around inf 43.3%

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

   4. Taylor expanded in y2 around inf 52.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 46.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.15 \cdot 10^{-145}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 7.8 \cdot 10^{-282}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 9 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 2.8 \cdot 10^{-166}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 5.1 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y4 \cdot \left(c \cdot y3 - b \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 29.5% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -1.46 \cdot 10^{-145}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.35 \cdot 10^{-282}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 2.05 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 6.4 \cdot 10^{-44}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -1.46e-145)
   (* y2 (* k (- (* y1 y4) (* y0 y5))))
   (if (<= y1 1.35e-282)
     (* (* a b) (- (* x y) (* z t)))
     (if (<= y1 2.05e-194)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= y1 6.4e-44)
         (* y4 (* b (- (* t j) (* y k))))
         (* y2 (* y4 (- (* k y1) (* t 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 tmp;
	if (y1 <= -1.46e-145) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 1.35e-282) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 2.05e-194) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 6.4e-44) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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) :: tmp
    if (y1 <= (-1.46d-145)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (y1 <= 1.35d-282) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= 2.05d-194) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y1 <= 6.4d-44) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 tmp;
	if (y1 <= -1.46e-145) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 1.35e-282) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= 2.05e-194) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 6.4e-44) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -1.46e-145:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif y1 <= 1.35e-282:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= 2.05e-194:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y1 <= 6.4e-44:
		tmp = y4 * (b * ((t * j) - (y * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -1.46e-145)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y1 <= 1.35e-282)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= 2.05e-194)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y1 <= 6.4e-44)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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)
	tmp = 0.0;
	if (y1 <= -1.46e-145)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (y1 <= 1.35e-282)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= 2.05e-194)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y1 <= 6.4e-44)
		tmp = y4 * (b * ((t * j) - (y * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -1.46e-145], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.35e-282], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.05e-194], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 6.4e-44], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y1 < -1.45999999999999993e-145

   1. Initial program 36.2%

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

   3. Taylor expanded in y2 around inf 42.5%

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

   4. Taylor expanded in k around inf 40.6%

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

   if -1.45999999999999993e-145 < y1 < 1.34999999999999991e-282

   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 inf 54.7%

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

   4. Taylor expanded in a around inf 58.4%

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

      1. associate-*r* 46.7%

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

   6. Simplified 46.7%

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

   if 1.34999999999999991e-282 < y1 < 2.0500000000000001e-194

   1. Initial program 38.5%

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

   3. Taylor expanded in y4 around inf 44.3%

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

   4. Taylor expanded in c around inf 39.4%

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

   if 2.0500000000000001e-194 < y1 < 6.3999999999999999e-44

   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 y4 around inf 46.8%

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

   4. Taylor expanded in b around inf 42.1%

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

   if 6.3999999999999999e-44 < y1

   1. Initial program 23.4%

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

   3. Taylor expanded in y4 around inf 44.3%

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

   4. Taylor expanded in y2 around inf 50.2%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 44.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.46 \cdot 10^{-145}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.35 \cdot 10^{-282}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq 2.05 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 6.4 \cdot 10^{-44}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 27.9% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -8.2 \cdot 10^{-147}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 9.2 \cdot 10^{-283}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 2.05 \cdot 10^{-142}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 6.8 \cdot 10^{-48}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(y \cdot \left(-y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -8.2e-147)
   (* k (* y2 (- (* y1 y4) (* y0 y5))))
   (if (<= y1 9.2e-283)
     (* a (* y (* x b)))
     (if (<= y1 2.05e-142)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= y1 6.8e-48)
         (* (* b k) (* y (- y4)))
         (* k (* y1 (- (* y2 y4) (* z i)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -8.2e-147) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 9.2e-283) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 2.05e-142) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 6.8e-48) {
		tmp = (b * k) * (y * -y4);
	} else {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= (-8.2d-147)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y1 <= 9.2d-283) then
        tmp = a * (y * (x * b))
    else if (y1 <= 2.05d-142) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y1 <= 6.8d-48) then
        tmp = (b * k) * (y * -y4)
    else
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -8.2e-147) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 9.2e-283) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 2.05e-142) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y1 <= 6.8e-48) {
		tmp = (b * k) * (y * -y4);
	} else {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -8.2e-147:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y1 <= 9.2e-283:
		tmp = a * (y * (x * b))
	elif y1 <= 2.05e-142:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y1 <= 6.8e-48:
		tmp = (b * k) * (y * -y4)
	else:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -8.2e-147)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y1 <= 9.2e-283)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (y1 <= 2.05e-142)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y1 <= 6.8e-48)
		tmp = Float64(Float64(b * k) * Float64(y * Float64(-y4)));
	else
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= -8.2e-147)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y1 <= 9.2e-283)
		tmp = a * (y * (x * b));
	elseif (y1 <= 2.05e-142)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y1 <= 6.8e-48)
		tmp = (b * k) * (y * -y4);
	else
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -8.2e-147], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 9.2e-283], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.05e-142], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 6.8e-48], N[(N[(b * k), $MachinePrecision] * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y1 < -8.1999999999999999e-147

   1. Initial program 36.2%

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

   3. Taylor expanded in b around inf 38.8%

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

   4. Taylor expanded in y2 around inf 39.6%

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

   if -8.1999999999999999e-147 < y1 < 9.1999999999999996e-283

   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 k around 0 20.8%

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

   4. Taylor expanded in b around inf 49.6%

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

   5. Taylor expanded in y around inf 38.1%

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

      1. associate-*r* 38.1%

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

   7. Simplified 38.1%

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

   if 9.1999999999999996e-283 < y1 < 2.05e-142

   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 y4 around inf 40.3%

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

   4. Taylor expanded in c around inf 31.9%

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

   if 2.05e-142 < y1 < 6.80000000000000056e-48

   1. Initial program 37.4%

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

   3. Taylor expanded in y4 around inf 54.4%

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

   4. Taylor expanded in b around inf 38.9%

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

   5. Taylor expanded in j around 0 30.9%

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

      1. mul-1-neg 30.9%

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

      2. associate-*r* 46.5%

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

      3. *-commutative 46.5%

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

   7. Simplified 46.5%

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

   if 6.80000000000000056e-48 < y1

   1. Initial program 23.4%

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

   3. Taylor expanded in k around inf 36.9%

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

   4. Taylor expanded in y1 around inf 45.5%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 40.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -8.2 \cdot 10^{-147}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 9.2 \cdot 10^{-283}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 2.05 \cdot 10^{-142}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 6.8 \cdot 10^{-48}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(y \cdot \left(-y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 22.6% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -1.6 \cdot 10^{+64}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -5.6 \cdot 10^{-147}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 7.2 \cdot 10^{-205}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 2.15 \cdot 10^{+55}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(y \cdot \left(-y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -1.6e+64)
   (* j (* y3 (* y1 (- y4))))
   (if (<= y1 -5.6e-147)
     (* k (* y5 (* y0 (- y2))))
     (if (<= y1 7.2e-205)
       (* a (* y (* x b)))
       (if (<= y1 2.15e+55)
         (* (* b k) (* y (- y4)))
         (* k (* y4 (* y1 y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -1.6e+64) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (y1 <= -5.6e-147) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= 7.2e-205) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 2.15e+55) {
		tmp = (b * k) * (y * -y4);
	} else {
		tmp = k * (y4 * (y1 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= (-1.6d+64)) then
        tmp = j * (y3 * (y1 * -y4))
    else if (y1 <= (-5.6d-147)) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y1 <= 7.2d-205) then
        tmp = a * (y * (x * b))
    else if (y1 <= 2.15d+55) then
        tmp = (b * k) * (y * -y4)
    else
        tmp = k * (y4 * (y1 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -1.6e+64) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (y1 <= -5.6e-147) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= 7.2e-205) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 2.15e+55) {
		tmp = (b * k) * (y * -y4);
	} else {
		tmp = k * (y4 * (y1 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -1.6e+64:
		tmp = j * (y3 * (y1 * -y4))
	elif y1 <= -5.6e-147:
		tmp = k * (y5 * (y0 * -y2))
	elif y1 <= 7.2e-205:
		tmp = a * (y * (x * b))
	elif y1 <= 2.15e+55:
		tmp = (b * k) * (y * -y4)
	else:
		tmp = k * (y4 * (y1 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -1.6e+64)
		tmp = Float64(j * Float64(y3 * Float64(y1 * Float64(-y4))));
	elseif (y1 <= -5.6e-147)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y1 <= 7.2e-205)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (y1 <= 2.15e+55)
		tmp = Float64(Float64(b * k) * Float64(y * Float64(-y4)));
	else
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= -1.6e+64)
		tmp = j * (y3 * (y1 * -y4));
	elseif (y1 <= -5.6e-147)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y1 <= 7.2e-205)
		tmp = a * (y * (x * b));
	elseif (y1 <= 2.15e+55)
		tmp = (b * k) * (y * -y4);
	else
		tmp = k * (y4 * (y1 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -1.6e+64], N[(j * N[(y3 * N[(y1 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -5.6e-147], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.2e-205], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.15e+55], N[(N[(b * k), $MachinePrecision] * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y1 < -1.60000000000000009e64

   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 i around -inf 40.9%

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

   4. Taylor expanded in y3 around inf 41.2%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 41.2%

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

   6. Simplified 41.2%

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

   7. Taylor expanded in y1 around inf 41.0%

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

   if -1.60000000000000009e64 < y1 < -5.6000000000000001e-147

   1. Initial program 40.4%

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

   3. Taylor expanded in k around inf 41.0%

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

   4. Taylor expanded in y5 around inf 33.4%

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

   5. Taylor expanded in y0 around inf 29.3%

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

      1. mul-1-neg 29.3%

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

      2. associate-*r* 31.5%

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

      3. distribute-lft-neg-out 31.5%

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

      4. *-commutative 31.5%

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

      5. distribute-lft-neg-in 31.5%

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

   7. Simplified 31.5%

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

   if -5.6000000000000001e-147 < y1 < 7.1999999999999997e-205

   1. Initial program 34.1%

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

   3. Taylor expanded in k around 0 22.0%

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

   4. Taylor expanded in b around inf 41.6%

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

   5. Taylor expanded in y around inf 30.0%

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

      1. associate-*r* 33.7%

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

   7. Simplified 33.7%

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

   if 7.1999999999999997e-205 < y1 < 2.1499999999999999e55

   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 y4 around inf 47.8%

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

   4. Taylor expanded in b around inf 31.2%

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

   5. Taylor expanded in j around 0 21.1%

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

      1. mul-1-neg 21.1%

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

      2. associate-*r* 29.3%

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

      3. *-commutative 29.3%

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

   7. Simplified 29.3%

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

   if 2.1499999999999999e55 < y1

   1. Initial program 22.1%

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

   3. Taylor expanded in y4 around inf 44.6%

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

   4. Taylor expanded in y1 around inf 45.3%

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

   5. Taylor expanded in k around inf 35.8%

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

      1. associate-*r* 37.7%

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

   7. Simplified 37.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 34.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.6 \cdot 10^{+64}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -5.6 \cdot 10^{-147}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 7.2 \cdot 10^{-205}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 2.15 \cdot 10^{+55}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(y \cdot \left(-y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 22.4% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -8 \cdot 10^{+16}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -3.9 \cdot 10^{-91}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.05 \cdot 10^{-203}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 1.6 \cdot 10^{+52}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(y \cdot \left(-y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -8e+16)
   (* j (* y3 (* y1 (- y4))))
   (if (<= y1 -3.9e-91)
     (* t (* a (* y2 y5)))
     (if (<= y1 1.05e-203)
       (* a (* y (* x b)))
       (if (<= y1 1.6e+52) (* (* b k) (* y (- y4))) (* k (* y4 (* y1 y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -8e+16) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (y1 <= -3.9e-91) {
		tmp = t * (a * (y2 * y5));
	} else if (y1 <= 1.05e-203) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 1.6e+52) {
		tmp = (b * k) * (y * -y4);
	} else {
		tmp = k * (y4 * (y1 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= (-8d+16)) then
        tmp = j * (y3 * (y1 * -y4))
    else if (y1 <= (-3.9d-91)) then
        tmp = t * (a * (y2 * y5))
    else if (y1 <= 1.05d-203) then
        tmp = a * (y * (x * b))
    else if (y1 <= 1.6d+52) then
        tmp = (b * k) * (y * -y4)
    else
        tmp = k * (y4 * (y1 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -8e+16) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (y1 <= -3.9e-91) {
		tmp = t * (a * (y2 * y5));
	} else if (y1 <= 1.05e-203) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 1.6e+52) {
		tmp = (b * k) * (y * -y4);
	} else {
		tmp = k * (y4 * (y1 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -8e+16:
		tmp = j * (y3 * (y1 * -y4))
	elif y1 <= -3.9e-91:
		tmp = t * (a * (y2 * y5))
	elif y1 <= 1.05e-203:
		tmp = a * (y * (x * b))
	elif y1 <= 1.6e+52:
		tmp = (b * k) * (y * -y4)
	else:
		tmp = k * (y4 * (y1 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -8e+16)
		tmp = Float64(j * Float64(y3 * Float64(y1 * Float64(-y4))));
	elseif (y1 <= -3.9e-91)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y1 <= 1.05e-203)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (y1 <= 1.6e+52)
		tmp = Float64(Float64(b * k) * Float64(y * Float64(-y4)));
	else
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= -8e+16)
		tmp = j * (y3 * (y1 * -y4));
	elseif (y1 <= -3.9e-91)
		tmp = t * (a * (y2 * y5));
	elseif (y1 <= 1.05e-203)
		tmp = a * (y * (x * b));
	elseif (y1 <= 1.6e+52)
		tmp = (b * k) * (y * -y4);
	else
		tmp = k * (y4 * (y1 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -8e+16], N[(j * N[(y3 * N[(y1 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -3.9e-91], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.05e-203], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.6e+52], N[(N[(b * k), $MachinePrecision] * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y1 < -8e16

   1. Initial program 33.3%

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

   3. Taylor expanded in i around -inf 40.9%

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

   4. Taylor expanded in y3 around inf 41.1%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 41.1%

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

   6. Simplified 41.1%

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

   7. Taylor expanded in y1 around inf 37.6%

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

   if -8e16 < y1 < -3.89999999999999994e-91

   1. Initial program 41.4%

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

   3. Taylor expanded in y2 around inf 46.1%

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

   4. Taylor expanded in t around inf 35.6%

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

   5. Taylor expanded in a around inf 32.7%

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

   if -3.89999999999999994e-91 < y1 < 1.05000000000000001e-203

   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 k around 0 22.4%

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

   4. Taylor expanded in b around inf 37.8%

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

   5. Taylor expanded in y around inf 26.1%

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

      1. associate-*r* 29.3%

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

   7. Simplified 29.3%

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

   if 1.05000000000000001e-203 < y1 < 1.6e52

   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 y4 around inf 47.8%

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

   4. Taylor expanded in b around inf 31.2%

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

   5. Taylor expanded in j around 0 21.1%

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

      1. mul-1-neg 21.1%

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

      2. associate-*r* 29.3%

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

      3. *-commutative 29.3%

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

   7. Simplified 29.3%

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

   if 1.6e52 < y1

   1. Initial program 22.1%

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

   3. Taylor expanded in y4 around inf 44.6%

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

   4. Taylor expanded in y1 around inf 45.3%

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

   5. Taylor expanded in k around inf 35.8%

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

      1. associate-*r* 37.7%

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

   7. Simplified 37.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 33.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -8 \cdot 10^{+16}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -3.9 \cdot 10^{-91}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.05 \cdot 10^{-203}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 1.6 \cdot 10^{+52}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(y \cdot \left(-y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 21.5% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -5.2 \cdot 10^{+20}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq -9 \cdot 10^{-65}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-72}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+143}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -5.2e+20)
   (* a (* (* x y) b))
   (if (<= x -9e-65)
     (* y1 (* y4 (* k y2)))
     (if (<= x 7e-72)
       (* j (* y3 (* y1 (- y4))))
       (if (<= x 2.9e+143) (* k (* y4 (* y1 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 (x <= -5.2e+20) {
		tmp = a * ((x * y) * b);
	} else if (x <= -9e-65) {
		tmp = y1 * (y4 * (k * y2));
	} else if (x <= 7e-72) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (x <= 2.9e+143) {
		tmp = k * (y4 * (y1 * 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 (x <= (-5.2d+20)) then
        tmp = a * ((x * y) * b)
    else if (x <= (-9d-65)) then
        tmp = y1 * (y4 * (k * y2))
    else if (x <= 7d-72) then
        tmp = j * (y3 * (y1 * -y4))
    else if (x <= 2.9d+143) then
        tmp = k * (y4 * (y1 * 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 (x <= -5.2e+20) {
		tmp = a * ((x * y) * b);
	} else if (x <= -9e-65) {
		tmp = y1 * (y4 * (k * y2));
	} else if (x <= 7e-72) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (x <= 2.9e+143) {
		tmp = k * (y4 * (y1 * 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 x <= -5.2e+20:
		tmp = a * ((x * y) * b)
	elif x <= -9e-65:
		tmp = y1 * (y4 * (k * y2))
	elif x <= 7e-72:
		tmp = j * (y3 * (y1 * -y4))
	elif x <= 2.9e+143:
		tmp = k * (y4 * (y1 * 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 (x <= -5.2e+20)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (x <= -9e-65)
		tmp = Float64(y1 * Float64(y4 * Float64(k * y2)));
	elseif (x <= 7e-72)
		tmp = Float64(j * Float64(y3 * Float64(y1 * Float64(-y4))));
	elseif (x <= 2.9e+143)
		tmp = Float64(k * Float64(y4 * Float64(y1 * 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 (x <= -5.2e+20)
		tmp = a * ((x * y) * b);
	elseif (x <= -9e-65)
		tmp = y1 * (y4 * (k * y2));
	elseif (x <= 7e-72)
		tmp = j * (y3 * (y1 * -y4));
	elseif (x <= 2.9e+143)
		tmp = k * (y4 * (y1 * 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[x, -5.2e+20], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -9e-65], N[(y1 * N[(y4 * N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7e-72], N[(j * N[(y3 * N[(y1 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.9e+143], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -5.2e20

   1. Initial program 21.6%

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

   3. Taylor expanded in k around 0 21.7%

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

   4. Taylor expanded in b around inf 40.3%

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

   5. Taylor expanded in y around inf 35.2%

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

   if -5.2e20 < x < -8.9999999999999995e-65

   1. Initial program 34.0%

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

   3. Taylor expanded in y4 around inf 53.5%

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

   4. Taylor expanded in y1 around inf 53.4%

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

   5. Taylor expanded in k around inf 43.8%

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

   if -8.9999999999999995e-65 < x < 7.00000000000000001e-72

   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 i around -inf 38.9%

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

   4. Taylor expanded in y3 around inf 27.9%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 27.9%

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

   6. Simplified 27.9%

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

   7. Taylor expanded in y1 around inf 22.8%

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

   if 7.00000000000000001e-72 < x < 2.8999999999999998e143

   1. Initial program 35.2%

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

   3. Taylor expanded in y4 around inf 45.7%

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

   4. Taylor expanded in y1 around inf 28.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 27.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 31.5%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 31.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if 2.8999999999999998e143 < x

   1. Initial program 29.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 26.1%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 45.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 41.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 49.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 49.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -5.2 \cdot 10^{+20}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq -9 \cdot 10^{-65}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-72}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+143}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 21.0% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;j \leq -3.5 \cdot 10^{+137}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;j \leq -4.6 \cdot 10^{-296}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 1.32 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+15}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= j -3.5e+137)
   (* (* j y0) (* y3 y5))
   (if (<= j -4.6e-296)
     (* k (* y4 (* y1 y2)))
     (if (<= j 1.32e-148)
       (* a (* (* x y) b))
       (if (<= j 5.5e+15) (* y1 (* y4 (* k y2))) (* b (* y4 (* t j))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -3.5e+137) {
		tmp = (j * y0) * (y3 * y5);
	} else if (j <= -4.6e-296) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 1.32e-148) {
		tmp = a * ((x * y) * b);
	} else if (j <= 5.5e+15) {
		tmp = y1 * (y4 * (k * y2));
	} else {
		tmp = b * (y4 * (t * j));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (j <= (-3.5d+137)) then
        tmp = (j * y0) * (y3 * y5)
    else if (j <= (-4.6d-296)) then
        tmp = k * (y4 * (y1 * y2))
    else if (j <= 1.32d-148) then
        tmp = a * ((x * y) * b)
    else if (j <= 5.5d+15) then
        tmp = y1 * (y4 * (k * y2))
    else
        tmp = b * (y4 * (t * j))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -3.5e+137) {
		tmp = (j * y0) * (y3 * y5);
	} else if (j <= -4.6e-296) {
		tmp = k * (y4 * (y1 * y2));
	} else if (j <= 1.32e-148) {
		tmp = a * ((x * y) * b);
	} else if (j <= 5.5e+15) {
		tmp = y1 * (y4 * (k * y2));
	} else {
		tmp = b * (y4 * (t * j));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if j <= -3.5e+137:
		tmp = (j * y0) * (y3 * y5)
	elif j <= -4.6e-296:
		tmp = k * (y4 * (y1 * y2))
	elif j <= 1.32e-148:
		tmp = a * ((x * y) * b)
	elif j <= 5.5e+15:
		tmp = y1 * (y4 * (k * y2))
	else:
		tmp = b * (y4 * (t * j))
	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 (j <= -3.5e+137)
		tmp = Float64(Float64(j * y0) * Float64(y3 * y5));
	elseif (j <= -4.6e-296)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (j <= 1.32e-148)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (j <= 5.5e+15)
		tmp = Float64(y1 * Float64(y4 * Float64(k * y2)));
	else
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (j <= -3.5e+137)
		tmp = (j * y0) * (y3 * y5);
	elseif (j <= -4.6e-296)
		tmp = k * (y4 * (y1 * y2));
	elseif (j <= 1.32e-148)
		tmp = a * ((x * y) * b);
	elseif (j <= 5.5e+15)
		tmp = y1 * (y4 * (k * y2));
	else
		tmp = b * (y4 * (t * j));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[j, -3.5e+137], N[(N[(j * y0), $MachinePrecision] * N[(y3 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.6e-296], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.32e-148], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.5e+15], N[(y1 * N[(y4 * N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if j < -3.5000000000000001e137

   1. Initial program 22.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 34.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in j around inf 55.2%

      \[\leadsto \color{blue}{j \cdot \left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   5. Taylor expanded in y5 around inf 32.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.9%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)} \]

   7. Simplified 37.9%

      \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)} \]

   if -3.5000000000000001e137 < j < -4.60000000000000008e-296

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 36.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y1 around inf 25.3%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 25.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 26.3%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 26.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -4.60000000000000008e-296 < j < 1.32000000000000007e-148

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 25.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 38.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 26.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if 1.32000000000000007e-148 < j < 5.5e15

   1. Initial program 46.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y1 around inf 34.6%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 31.5%

      \[\leadsto y1 \cdot \left(y4 \cdot \color{blue}{\left(k \cdot y2\right)}\right) \]

   if 5.5e15 < j

   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 y4 around inf 43.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 32.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 37.4%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -3.5 \cdot 10^{+137}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;j \leq -4.6 \cdot 10^{-296}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 1.32 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+15}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 27.8% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -1.12 \cdot 10^{-147}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.3 \cdot 10^{-204}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 2.4 \cdot 10^{-44}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -1.12e-147)
   (* y2 (* k (- (* y1 y4) (* y0 y5))))
   (if (<= y1 2.3e-204)
     (* a (* y (* x b)))
     (if (<= y1 2.4e-44)
       (* y4 (* b (- (* t j) (* y k))))
       (* y2 (* y4 (- (* k y1) (* t 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 tmp;
	if (y1 <= -1.12e-147) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 2.3e-204) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 2.4e-44) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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) :: tmp
    if (y1 <= (-1.12d-147)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (y1 <= 2.3d-204) then
        tmp = a * (y * (x * b))
    else if (y1 <= 2.4d-44) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 tmp;
	if (y1 <= -1.12e-147) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 2.3e-204) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 2.4e-44) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -1.12e-147:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif y1 <= 2.3e-204:
		tmp = a * (y * (x * b))
	elif y1 <= 2.4e-44:
		tmp = y4 * (b * ((t * j) - (y * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -1.12e-147)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y1 <= 2.3e-204)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (y1 <= 2.4e-44)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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)
	tmp = 0.0;
	if (y1 <= -1.12e-147)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (y1 <= 2.3e-204)
		tmp = a * (y * (x * b));
	elseif (y1 <= 2.4e-44)
		tmp = y4 * (b * ((t * j) - (y * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -1.12e-147], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.3e-204], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.4e-44], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < -1.12e-147

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 42.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 40.6%

      \[\leadsto y2 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -1.12e-147 < y1 < 2.2999999999999999e-204

   1. Initial program 34.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 22.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 41.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.7%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 33.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

   if 2.2999999999999999e-204 < y1 < 2.40000000000000009e-44

   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 y4 around inf 49.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 40.5%

      \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 2.40000000000000009e-44 < y1

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y2 around inf 50.2%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.12 \cdot 10^{-147}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.3 \cdot 10^{-204}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 2.4 \cdot 10^{-44}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 27.7% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -2.05 \cdot 10^{-147}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 3.1 \cdot 10^{-206}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 4.3 \cdot 10^{-51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -2.05e-147)
   (* y2 (* k (- (* y1 y4) (* y0 y5))))
   (if (<= y1 3.1e-206)
     (* a (* y (* x b)))
     (if (<= y1 4.3e-51)
       (* b (* y4 (- (* t j) (* y k))))
       (* y2 (* y4 (- (* k y1) (* t 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 tmp;
	if (y1 <= -2.05e-147) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 3.1e-206) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 4.3e-51) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * 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) :: tmp
    if (y1 <= (-2.05d-147)) then
        tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
    else if (y1 <= 3.1d-206) then
        tmp = a * (y * (x * b))
    else if (y1 <= 4.3d-51) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = y2 * (y4 * ((k * y1) - (t * 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 tmp;
	if (y1 <= -2.05e-147) {
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	} else if (y1 <= 3.1e-206) {
		tmp = a * (y * (x * b));
	} else if (y1 <= 4.3e-51) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -2.05e-147:
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)))
	elif y1 <= 3.1e-206:
		tmp = a * (y * (x * b))
	elif y1 <= 4.3e-51:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -2.05e-147)
		tmp = Float64(y2 * Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y1 <= 3.1e-206)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (y1 <= 4.3e-51)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * 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)
	tmp = 0.0;
	if (y1 <= -2.05e-147)
		tmp = y2 * (k * ((y1 * y4) - (y0 * y5)));
	elseif (y1 <= 3.1e-206)
		tmp = a * (y * (x * b));
	elseif (y1 <= 4.3e-51)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -2.05e-147], N[(y2 * N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.1e-206], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 4.3e-51], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < -2.05e-147

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 42.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 40.6%

      \[\leadsto y2 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -2.05e-147 < y1 < 3.1000000000000003e-206

   1. Initial program 34.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 22.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 41.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.7%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 33.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

   if 3.1000000000000003e-206 < y1 < 4.2999999999999997e-51

   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 y4 around inf 49.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 36.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 4.2999999999999997e-51 < y1

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y2 around inf 50.2%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.05 \cdot 10^{-147}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 3.1 \cdot 10^{-206}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 4.3 \cdot 10^{-51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 26.6% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -3 \cdot 10^{+61}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -9.5 \cdot 10^{-149}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 210000000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -3e+61)
   (* j (* y3 (* y1 (- y4))))
   (if (<= y1 -9.5e-149)
     (* k (* y5 (* y0 (- y2))))
     (if (<= y1 210000000.0)
       (* b (* y4 (- (* t j) (* y k))))
       (* k (* y4 (* y1 y2)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -3e+61) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (y1 <= -9.5e-149) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= 210000000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = k * (y4 * (y1 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= (-3d+61)) then
        tmp = j * (y3 * (y1 * -y4))
    else if (y1 <= (-9.5d-149)) then
        tmp = k * (y5 * (y0 * -y2))
    else if (y1 <= 210000000.0d0) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = k * (y4 * (y1 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -3e+61) {
		tmp = j * (y3 * (y1 * -y4));
	} else if (y1 <= -9.5e-149) {
		tmp = k * (y5 * (y0 * -y2));
	} else if (y1 <= 210000000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = k * (y4 * (y1 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -3e+61:
		tmp = j * (y3 * (y1 * -y4))
	elif y1 <= -9.5e-149:
		tmp = k * (y5 * (y0 * -y2))
	elif y1 <= 210000000.0:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = k * (y4 * (y1 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -3e+61)
		tmp = Float64(j * Float64(y3 * Float64(y1 * Float64(-y4))));
	elseif (y1 <= -9.5e-149)
		tmp = Float64(k * Float64(y5 * Float64(y0 * Float64(-y2))));
	elseif (y1 <= 210000000.0)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= -3e+61)
		tmp = j * (y3 * (y1 * -y4));
	elseif (y1 <= -9.5e-149)
		tmp = k * (y5 * (y0 * -y2));
	elseif (y1 <= 210000000.0)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = k * (y4 * (y1 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -3e+61], N[(j * N[(y3 * N[(y1 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -9.5e-149], N[(k * N[(y5 * N[(y0 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 210000000.0], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < -3e61

   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 i around -inf 40.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y3 around inf 41.2%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 41.2%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   6. Simplified 41.2%

      \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   7. Taylor expanded in y1 around inf 41.0%

      \[\leadsto -j \cdot \left(y3 \cdot \color{blue}{\left(y1 \cdot y4\right)}\right) \]

   if -3e61 < y1 < -9.50000000000000034e-149

   1. Initial program 39.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 40.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.8%

      \[\leadsto \color{blue}{k \cdot \left(y5 \cdot \left(-1 \cdot \left(y0 \cdot y2\right) + i \cdot y\right)\right)} \]

   5. Taylor expanded in y0 around inf 30.8%

      \[\leadsto k \cdot \color{blue}{\left(-1 \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 30.8%

         \[\leadsto k \cdot \color{blue}{\left(-y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 32.9%

         \[\leadsto k \cdot \left(-\color{blue}{\left(y0 \cdot y2\right) \cdot y5}\right) \]

      3. distribute-lft-neg-out 32.9%

         \[\leadsto k \cdot \color{blue}{\left(\left(-y0 \cdot y2\right) \cdot y5\right)} \]

      4. *-commutative 32.9%

         \[\leadsto k \cdot \color{blue}{\left(y5 \cdot \left(-y0 \cdot y2\right)\right)} \]

      5. distribute-lft-neg-in 32.9%

         \[\leadsto k \cdot \left(y5 \cdot \color{blue}{\left(\left(-y0\right) \cdot y2\right)}\right) \]

   7. Simplified 32.9%

      \[\leadsto k \cdot \color{blue}{\left(y5 \cdot \left(\left(-y0\right) \cdot y2\right)\right)} \]

   if -9.50000000000000034e-149 < y1 < 2.1e8

   1. Initial program 35.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 42.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 29.7%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 2.1e8 < y1

   1. Initial program 20.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 41.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y1 around inf 44.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 35.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 36.9%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 36.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -3 \cdot 10^{+61}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y1 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -9.5 \cdot 10^{-149}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y0 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 210000000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 22.1% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -2.55 \cdot 10^{+50}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 3.2 \cdot 10^{-301}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{+168}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -2.55e+50)
   (* j (* y0 (* y3 y5)))
   (if (<= y5 3.2e-301)
     (* a (* y (* x b)))
     (if (<= y5 1e+168) (* b (* y4 (* t j))) (* i (* k (* y y5)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -2.55e+50) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y5 <= 3.2e-301) {
		tmp = a * (y * (x * b));
	} else if (y5 <= 1e+168) {
		tmp = b * (y4 * (t * j));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-2.55d+50)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y5 <= 3.2d-301) then
        tmp = a * (y * (x * b))
    else if (y5 <= 1d+168) then
        tmp = b * (y4 * (t * j))
    else
        tmp = i * (k * (y * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -2.55e+50) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y5 <= 3.2e-301) {
		tmp = a * (y * (x * b));
	} else if (y5 <= 1e+168) {
		tmp = b * (y4 * (t * j));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -2.55e+50:
		tmp = j * (y0 * (y3 * y5))
	elif y5 <= 3.2e-301:
		tmp = a * (y * (x * b))
	elif y5 <= 1e+168:
		tmp = b * (y4 * (t * j))
	else:
		tmp = i * (k * (y * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -2.55e+50)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y5 <= 3.2e-301)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (y5 <= 1e+168)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	else
		tmp = Float64(i * Float64(k * Float64(y * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -2.55e+50)
		tmp = j * (y0 * (y3 * y5));
	elseif (y5 <= 3.2e-301)
		tmp = a * (y * (x * b));
	elseif (y5 <= 1e+168)
		tmp = b * (y4 * (t * j));
	else
		tmp = i * (k * (y * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -2.55e+50], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.2e-301], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1e+168], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -2.5499999999999999e50

   1. Initial program 26.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 40.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y3 around inf 41.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 41.8%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   6. Simplified 41.8%

      \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   7. Taylor expanded in y1 around 0 35.9%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if -2.5499999999999999e50 < y5 < 3.1999999999999999e-301

   1. Initial program 44.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 31.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 34.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 18.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 21.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 21.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

   if 3.1999999999999999e-301 < y5 < 9.9999999999999993e167

   1. Initial program 29.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 46.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 29.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 21.8%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]

   if 9.9999999999999993e167 < y5

   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 k around inf 25.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 45.8%

      \[\leadsto \color{blue}{k \cdot \left(y5 \cdot \left(-1 \cdot \left(y0 \cdot y2\right) + i \cdot y\right)\right)} \]

   5. Taylor expanded in y0 around 0 35.8%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 35.8%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y5 \cdot y\right)}\right) \]

   7. Simplified 35.8%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y5 \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 26.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.55 \cdot 10^{+50}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 3.2 \cdot 10^{-301}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{+168}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 22.2% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -1550000:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{+85}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -1550000.0)
   (* a (* (* x y) b))
   (if (<= x 3.2e+85) (* b (* y4 (* t j))) (* 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 (x <= -1550000.0) {
		tmp = a * ((x * y) * b);
	} else if (x <= 3.2e+85) {
		tmp = b * (y4 * (t * j));
	} 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 (x <= (-1550000.0d0)) then
        tmp = a * ((x * y) * b)
    else if (x <= 3.2d+85) then
        tmp = b * (y4 * (t * j))
    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 (x <= -1550000.0) {
		tmp = a * ((x * y) * b);
	} else if (x <= 3.2e+85) {
		tmp = b * (y4 * (t * j));
	} 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 x <= -1550000.0:
		tmp = a * ((x * y) * b)
	elif x <= 3.2e+85:
		tmp = b * (y4 * (t * j))
	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 (x <= -1550000.0)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (x <= 3.2e+85)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	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 (x <= -1550000.0)
		tmp = a * ((x * y) * b);
	elseif (x <= 3.2e+85)
		tmp = b * (y4 * (t * j));
	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[x, -1550000.0], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.2e+85], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if x < -1.55e6

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 22.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 39.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 34.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -1.55e6 < x < 3.20000000000000018e85

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 46.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 25.3%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 16.8%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]

   if 3.20000000000000018e85 < x

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 20.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 37.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 43.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 24.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1550000:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{+85}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 39: 22.2% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -225000:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{+85}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -225000.0)
   (* a (* (* x y) b))
   (if (<= x 7e+85) (* b (* j (* t 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 (x <= -225000.0) {
		tmp = a * ((x * y) * b);
	} else if (x <= 7e+85) {
		tmp = b * (j * (t * 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 (x <= (-225000.0d0)) then
        tmp = a * ((x * y) * b)
    else if (x <= 7d+85) then
        tmp = b * (j * (t * 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 (x <= -225000.0) {
		tmp = a * ((x * y) * b);
	} else if (x <= 7e+85) {
		tmp = b * (j * (t * 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 x <= -225000.0:
		tmp = a * ((x * y) * b)
	elif x <= 7e+85:
		tmp = b * (j * (t * 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 (x <= -225000.0)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (x <= 7e+85)
		tmp = Float64(b * Float64(j * Float64(t * 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 (x <= -225000.0)
		tmp = a * ((x * y) * b);
	elseif (x <= 7e+85)
		tmp = b * (j * (t * 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[x, -225000.0], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7e+85], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if x < -225000

   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 k around 0 22.3%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 33.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -225000 < x < 7.0000000000000001e85

   1. Initial program 37.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 46.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 25.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 16.4%

      \[\leadsto b \cdot \color{blue}{\left(j \cdot \left(t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 16.4%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   7. Simplified 16.4%

      \[\leadsto b \cdot \color{blue}{\left(j \cdot \left(y4 \cdot t\right)\right)} \]

   if 7.0000000000000001e85 < x

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 20.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 37.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 43.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 24.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -225000:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{+85}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 40: 22.2% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -3.2 \cdot 10^{+25}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+85}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -3.2e+25)
   (* a (* (* x y) b))
   (if (<= x 2.9e+85) (* a (* y5 (* t 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 (x <= -3.2e+25) {
		tmp = a * ((x * y) * b);
	} else if (x <= 2.9e+85) {
		tmp = a * (y5 * (t * 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 (x <= (-3.2d+25)) then
        tmp = a * ((x * y) * b)
    else if (x <= 2.9d+85) then
        tmp = a * (y5 * (t * 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 (x <= -3.2e+25) {
		tmp = a * ((x * y) * b);
	} else if (x <= 2.9e+85) {
		tmp = a * (y5 * (t * 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 x <= -3.2e+25:
		tmp = a * ((x * y) * b)
	elif x <= 2.9e+85:
		tmp = a * (y5 * (t * 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 (x <= -3.2e+25)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (x <= 2.9e+85)
		tmp = Float64(a * Float64(y5 * Float64(t * 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 (x <= -3.2e+25)
		tmp = a * ((x * y) * b);
	elseif (x <= 2.9e+85)
		tmp = a * (y5 * (t * 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[x, -3.2e+25], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.9e+85], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if x < -3.1999999999999999e25

   1. Initial program 21.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 21.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 40.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 35.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -3.1999999999999999e25 < x < 2.89999999999999997e85

   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 y2 around inf 39.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 26.3%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 16.1%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 14.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

   7. Simplified 14.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2\right) \cdot y5\right)} \]

   if 2.89999999999999997e85 < x

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around 0 20.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in b around inf 37.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

   5. Taylor expanded in y around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

   7. Simplified 43.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 23.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.2 \cdot 10^{+25}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+85}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 41: 16.8% 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 32.1%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in k around 0 25.6%

   \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

4. Taylor expanded in b around inf 32.3%

   \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

5. Taylor expanded in y around inf 17.3%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
6. Step-by-step derivation

   1. associate-*r* 17.6%

      \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)} \]

7. Simplified 17.6%

   \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

8. Final simplification 17.6%

   \[\leadsto a \cdot \left(y \cdot \left(x \cdot b\right)\right) \]
9. Add Preprocessing

Alternative 42: 16.9% 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 32.1%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in k around 0 25.6%

   \[\leadsto \color{blue}{\left(-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right) + \left(j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - t \cdot z\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)\right) - \left(j \cdot \left(x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(c \cdot y4 - a \cdot y5\right) \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

4. Taylor expanded in b around inf 32.3%

   \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + j \cdot \left(t \cdot y4\right)\right) - j \cdot \left(x \cdot y0\right)\right)} \]

5. Taylor expanded in y around inf 17.3%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

6. Final simplification 17.3%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
7. Add Preprocessing

Developer target: 28.1% 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 2024110 
(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)))))