Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.3% → 39.1%

Time: 2.0min

Alternatives: 45

Speedup: 2.6×

• 89.0% 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: 39.1% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ t_2 := a \cdot y1 - c \cdot y0\\ t_3 := z \cdot t\_2\\ t_4 := z \cdot \left(y3 \cdot t\_2 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ t_5 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;z \leq -4.5 \cdot 10^{+242}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq -5 \cdot 10^{+169}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + t\_3\right)\\ \mathbf{elif}\;z \leq -9.2 \cdot 10^{+115}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq -4.7 \cdot 10^{-36}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-306}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-244}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-105}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_5\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{-15}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{+37}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + t\_3\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (+ (* y1 (- (* x j) (* z k))) (* c (- (* z t) (* x y))))))
        (t_2 (- (* a y1) (* c y0)))
        (t_3 (* z t_2))
        (t_4 (* z (+ (* y3 t_2) (* t (- (* c i) (* a b))))))
        (t_5 (- (* c y0) (* a y1))))
   (if (<= z -4.5e+242)
     t_1
     (if (<= z -5e+169)
       (* y3 (+ (* y (- (* c y4) (* a y5))) t_3))
       (if (<= z -9.2e+115)
         t_1
         (if (<= z -4.7e-36)
           t_4
           (if (<= z -7.8e-306)
             (*
              y4
              (+
               (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
               (* c (- (* y y3) (* t y2)))))
             (if (<= z 4.2e-244)
               (*
                y2
                (+
                 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_5))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= z 3.1e-105)
                 (* j (* y0 (- (* y3 y5) (* x b))))
                 (if (<= z 1.8e-42)
                   (*
                    x
                    (+
                     (+ (* y (- (* a b) (* c i))) (* y2 t_5))
                     (* j (- (* i y1) (* b y0)))))
                   (if (<= z 3.5e-15)
                     (*
                      a
                      (+
                       (* y5 (- (* t y2) (* y y3)))
                       (* y1 (- (* z y3) (* x y2)))))
                     (if (<= z 6.6e+37)
                       (* y3 (+ (* c (* y y4)) t_3))
                       (if (<= z 1.05e+137)
                         (*
                          b
                          (+
                           (* a (- (* x y) (* z t)))
                           (* y0 (- (* z k) (* x j)))))
                         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 = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	double t_2 = (a * y1) - (c * y0);
	double t_3 = z * t_2;
	double t_4 = z * ((y3 * t_2) + (t * ((c * i) - (a * b))));
	double t_5 = (c * y0) - (a * y1);
	double tmp;
	if (z <= -4.5e+242) {
		tmp = t_1;
	} else if (z <= -5e+169) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3);
	} else if (z <= -9.2e+115) {
		tmp = t_1;
	} else if (z <= -4.7e-36) {
		tmp = t_4;
	} else if (z <= -7.8e-306) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (z <= 4.2e-244) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 3.1e-105) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 1.8e-42) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))));
	} else if (z <= 3.5e-15) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 6.6e+37) {
		tmp = y3 * ((c * (y * y4)) + t_3);
	} else if (z <= 1.05e+137) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} 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) :: tmp
    t_1 = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
    t_2 = (a * y1) - (c * y0)
    t_3 = z * t_2
    t_4 = z * ((y3 * t_2) + (t * ((c * i) - (a * b))))
    t_5 = (c * y0) - (a * y1)
    if (z <= (-4.5d+242)) then
        tmp = t_1
    else if (z <= (-5d+169)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3)
    else if (z <= (-9.2d+115)) then
        tmp = t_1
    else if (z <= (-4.7d-36)) then
        tmp = t_4
    else if (z <= (-7.8d-306)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (z <= 4.2d-244) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * ((a * y5) - (c * y4))))
    else if (z <= 3.1d-105) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 1.8d-42) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))))
    else if (z <= 3.5d-15) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (z <= 6.6d+37) then
        tmp = y3 * ((c * (y * y4)) + t_3)
    else if (z <= 1.05d+137) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    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 = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	double t_2 = (a * y1) - (c * y0);
	double t_3 = z * t_2;
	double t_4 = z * ((y3 * t_2) + (t * ((c * i) - (a * b))));
	double t_5 = (c * y0) - (a * y1);
	double tmp;
	if (z <= -4.5e+242) {
		tmp = t_1;
	} else if (z <= -5e+169) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3);
	} else if (z <= -9.2e+115) {
		tmp = t_1;
	} else if (z <= -4.7e-36) {
		tmp = t_4;
	} else if (z <= -7.8e-306) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (z <= 4.2e-244) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 3.1e-105) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 1.8e-42) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))));
	} else if (z <= 3.5e-15) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 6.6e+37) {
		tmp = y3 * ((c * (y * y4)) + t_3);
	} else if (z <= 1.05e+137) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} 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 = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
	t_2 = (a * y1) - (c * y0)
	t_3 = z * t_2
	t_4 = z * ((y3 * t_2) + (t * ((c * i) - (a * b))))
	t_5 = (c * y0) - (a * y1)
	tmp = 0
	if z <= -4.5e+242:
		tmp = t_1
	elif z <= -5e+169:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3)
	elif z <= -9.2e+115:
		tmp = t_1
	elif z <= -4.7e-36:
		tmp = t_4
	elif z <= -7.8e-306:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif z <= 4.2e-244:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * ((a * y5) - (c * y4))))
	elif z <= 3.1e-105:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 1.8e-42:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))))
	elif z <= 3.5e-15:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif z <= 6.6e+37:
		tmp = y3 * ((c * (y * y4)) + t_3)
	elif z <= 1.05e+137:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	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(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(c * Float64(Float64(z * t) - Float64(x * y)))))
	t_2 = Float64(Float64(a * y1) - Float64(c * y0))
	t_3 = Float64(z * t_2)
	t_4 = Float64(z * Float64(Float64(y3 * t_2) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))))
	t_5 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (z <= -4.5e+242)
		tmp = t_1;
	elseif (z <= -5e+169)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + t_3));
	elseif (z <= -9.2e+115)
		tmp = t_1;
	elseif (z <= -4.7e-36)
		tmp = t_4;
	elseif (z <= -7.8e-306)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (z <= 4.2e-244)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_5)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (z <= 3.1e-105)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 1.8e-42)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_5)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (z <= 3.5e-15)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (z <= 6.6e+37)
		tmp = Float64(y3 * Float64(Float64(c * Float64(y * y4)) + t_3));
	elseif (z <= 1.05e+137)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	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 = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	t_2 = (a * y1) - (c * y0);
	t_3 = z * t_2;
	t_4 = z * ((y3 * t_2) + (t * ((c * i) - (a * b))));
	t_5 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (z <= -4.5e+242)
		tmp = t_1;
	elseif (z <= -5e+169)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3);
	elseif (z <= -9.2e+115)
		tmp = t_1;
	elseif (z <= -4.7e-36)
		tmp = t_4;
	elseif (z <= -7.8e-306)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (z <= 4.2e-244)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * ((a * y5) - (c * y4))));
	elseif (z <= 3.1e-105)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 1.8e-42)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))));
	elseif (z <= 3.5e-15)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (z <= 6.6e+37)
		tmp = y3 * ((c * (y * y4)) + t_3);
	elseif (z <= 1.05e+137)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	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[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(z * t$95$2), $MachinePrecision]}, Block[{t$95$4 = N[(z * N[(N[(y3 * t$95$2), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -4.5e+242], t$95$1, If[LessEqual[z, -5e+169], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -9.2e+115], t$95$1, If[LessEqual[z, -4.7e-36], t$95$4, If[LessEqual[z, -7.8e-306], 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[z, 4.2e-244], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.1e-105], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.8e-42], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.5e-15], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 6.6e+37], N[(y3 * N[(N[(c * N[(y * y4), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.05e+137], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if z < -4.4999999999999996e242 or -5.00000000000000017e169 < z < -9.20000000000000014e115

   1. Initial program 26.1%

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

   3. Taylor expanded in i around -inf 73.9%

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

   4. Taylor expanded in y5 around 0 82.6%

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

   if -4.4999999999999996e242 < z < -5.00000000000000017e169

   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 y3 around -inf 31.8%

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

   4. Taylor expanded in j around 0 63.0%

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

   if -9.20000000000000014e115 < z < -4.7000000000000003e-36 or 1.05e137 < z

   1. Initial program 24.5%

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

   3. Taylor expanded in z around -inf 60.5%

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

   4. Taylor expanded in k around 0 66.9%

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

   if -4.7000000000000003e-36 < z < -7.799999999999999e-306

   1. Initial program 23.2%

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

   3. Taylor expanded in y4 around inf 53.6%

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

   if -7.799999999999999e-306 < z < 4.20000000000000003e-244

   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 y2 around inf 72.6%

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

   if 4.20000000000000003e-244 < z < 3.10000000000000014e-105

   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 j around inf 22.0%

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

   4. Taylor expanded in y0 around inf 50.8%

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

   if 3.10000000000000014e-105 < z < 1.8000000000000001e-42

   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 x around inf 73.3%

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

   if 1.8000000000000001e-42 < z < 3.5000000000000001e-15

   1. Initial program 29.3%

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

   3. Taylor expanded in c around inf 42.9%

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

      1. mul-1-neg 42.9%

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

   5. Simplified 42.9%

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

   6. Taylor expanded in a around -inf 71.6%

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

      1. mul-1-neg 71.6%

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

   8. Simplified 71.6%

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

   if 3.5000000000000001e-15 < z < 6.6000000000000002e37

   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 y3 around -inf 37.6%

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

   4. Taylor expanded in j around 0 38.2%

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

   5. Taylor expanded in y5 around 0 57.1%

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

   if 6.6000000000000002e37 < z < 1.05e137

   1. Initial program 27.8%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around 0 56.7%

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

4. Final simplification 62.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -4.5 \cdot 10^{+242}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -5 \cdot 10^{+169}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -9.2 \cdot 10^{+115}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -4.7 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-306}:\\ \;\;\;\;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}\;z \leq 4.2 \cdot 10^{-244}:\\ \;\;\;\;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 3.1 \cdot 10^{-105}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{-15}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{+37}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 53.4% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 81.1%

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

   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 c around inf 9.1%

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

      1. mul-1-neg 9.1%

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

   5. Simplified 9.1%

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

   6. Taylor expanded in y1 around inf 42.6%

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

4. Final simplification 54.6%

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

Alternative 3: 36.4% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ t_2 := t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + \left(c \cdot \left(z \cdot i\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)\\ t_3 := y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{if}\;i \leq -3.55 \cdot 10^{+142}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-44}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -2.8 \cdot 10^{-162}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;i \leq -4.4 \cdot 10^{-175}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq -1.1 \cdot 10^{-279}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -6.5 \cdot 10^{-298}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-218}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 1.3 \cdot 10^{-75}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 1.32 \cdot 10^{+116}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 8 \cdot 10^{+224} \lor \neg \left(i \leq 9.2 \cdot 10^{+249}\right):\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y3 (+ (* c (* y y4)) (* z (- (* a y1) (* c y0))))))
        (t_2
         (*
          t
          (+
           (* j (- (* b y4) (* i y5)))
           (+ (* c (* z i)) (* y2 (- (* a y5) (* c y4)))))))
        (t_3
         (* y1 (+ (* a (- (* z y3) (* x y2))) (* y4 (- (* k y2) (* j y3)))))))
   (if (<= i -3.55e+142)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= i -7.5e-44)
       t_1
       (if (<= i -2.8e-162)
         t_2
         (if (<= i -4.4e-175)
           t_3
           (if (<= i -1.1e-279)
             (* b (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
             (if (<= i -6.5e-298)
               (* y3 (* y5 (- (* j y0) (* y a))))
               (if (<= i 2.6e-218)
                 t_3
                 (if (<= i 1.3e-75)
                   t_1
                   (if (<= i 1.32e+116)
                     t_3
                     (if (or (<= i 8e+224) (not (<= i 9.2e+249)))
                       (*
                        i
                        (+
                         (* y1 (- (* x j) (* z k)))
                         (* c (- (* z t) (* x y)))))
                       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 = y3 * ((c * (y * y4)) + (z * ((a * y1) - (c * y0))));
	double t_2 = t * ((j * ((b * y4) - (i * y5))) + ((c * (z * i)) + (y2 * ((a * y5) - (c * y4)))));
	double t_3 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))));
	double tmp;
	if (i <= -3.55e+142) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (i <= -7.5e-44) {
		tmp = t_1;
	} else if (i <= -2.8e-162) {
		tmp = t_2;
	} else if (i <= -4.4e-175) {
		tmp = t_3;
	} else if (i <= -1.1e-279) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else if (i <= -6.5e-298) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (i <= 2.6e-218) {
		tmp = t_3;
	} else if (i <= 1.3e-75) {
		tmp = t_1;
	} else if (i <= 1.32e+116) {
		tmp = t_3;
	} else if ((i <= 8e+224) || !(i <= 9.2e+249)) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y3 * ((c * (y * y4)) + (z * ((a * y1) - (c * y0))))
    t_2 = t * ((j * ((b * y4) - (i * y5))) + ((c * (z * i)) + (y2 * ((a * y5) - (c * y4)))))
    t_3 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))))
    if (i <= (-3.55d+142)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (i <= (-7.5d-44)) then
        tmp = t_1
    else if (i <= (-2.8d-162)) then
        tmp = t_2
    else if (i <= (-4.4d-175)) then
        tmp = t_3
    else if (i <= (-1.1d-279)) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else if (i <= (-6.5d-298)) then
        tmp = y3 * (y5 * ((j * y0) - (y * a)))
    else if (i <= 2.6d-218) then
        tmp = t_3
    else if (i <= 1.3d-75) then
        tmp = t_1
    else if (i <= 1.32d+116) then
        tmp = t_3
    else if ((i <= 8d+224) .or. (.not. (i <= 9.2d+249))) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
    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 = y3 * ((c * (y * y4)) + (z * ((a * y1) - (c * y0))));
	double t_2 = t * ((j * ((b * y4) - (i * y5))) + ((c * (z * i)) + (y2 * ((a * y5) - (c * y4)))));
	double t_3 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))));
	double tmp;
	if (i <= -3.55e+142) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (i <= -7.5e-44) {
		tmp = t_1;
	} else if (i <= -2.8e-162) {
		tmp = t_2;
	} else if (i <= -4.4e-175) {
		tmp = t_3;
	} else if (i <= -1.1e-279) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else if (i <= -6.5e-298) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (i <= 2.6e-218) {
		tmp = t_3;
	} else if (i <= 1.3e-75) {
		tmp = t_1;
	} else if (i <= 1.32e+116) {
		tmp = t_3;
	} else if ((i <= 8e+224) || !(i <= 9.2e+249)) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	} 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 = y3 * ((c * (y * y4)) + (z * ((a * y1) - (c * y0))))
	t_2 = t * ((j * ((b * y4) - (i * y5))) + ((c * (z * i)) + (y2 * ((a * y5) - (c * y4)))))
	t_3 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))))
	tmp = 0
	if i <= -3.55e+142:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif i <= -7.5e-44:
		tmp = t_1
	elif i <= -2.8e-162:
		tmp = t_2
	elif i <= -4.4e-175:
		tmp = t_3
	elif i <= -1.1e-279:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	elif i <= -6.5e-298:
		tmp = y3 * (y5 * ((j * y0) - (y * a)))
	elif i <= 2.6e-218:
		tmp = t_3
	elif i <= 1.3e-75:
		tmp = t_1
	elif i <= 1.32e+116:
		tmp = t_3
	elif (i <= 8e+224) or not (i <= 9.2e+249):
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
	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(y3 * Float64(Float64(c * Float64(y * y4)) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0)))))
	t_2 = Float64(t * Float64(Float64(j * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(Float64(c * Float64(z * i)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))))
	t_3 = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))))
	tmp = 0.0
	if (i <= -3.55e+142)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (i <= -7.5e-44)
		tmp = t_1;
	elseif (i <= -2.8e-162)
		tmp = t_2;
	elseif (i <= -4.4e-175)
		tmp = t_3;
	elseif (i <= -1.1e-279)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (i <= -6.5e-298)
		tmp = Float64(y3 * Float64(y5 * Float64(Float64(j * y0) - Float64(y * a))));
	elseif (i <= 2.6e-218)
		tmp = t_3;
	elseif (i <= 1.3e-75)
		tmp = t_1;
	elseif (i <= 1.32e+116)
		tmp = t_3;
	elseif ((i <= 8e+224) || !(i <= 9.2e+249))
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	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 = y3 * ((c * (y * y4)) + (z * ((a * y1) - (c * y0))));
	t_2 = t * ((j * ((b * y4) - (i * y5))) + ((c * (z * i)) + (y2 * ((a * y5) - (c * y4)))));
	t_3 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))));
	tmp = 0.0;
	if (i <= -3.55e+142)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (i <= -7.5e-44)
		tmp = t_1;
	elseif (i <= -2.8e-162)
		tmp = t_2;
	elseif (i <= -4.4e-175)
		tmp = t_3;
	elseif (i <= -1.1e-279)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	elseif (i <= -6.5e-298)
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	elseif (i <= 2.6e-218)
		tmp = t_3;
	elseif (i <= 1.3e-75)
		tmp = t_1;
	elseif (i <= 1.32e+116)
		tmp = t_3;
	elseif ((i <= 8e+224) || ~((i <= 9.2e+249)))
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	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[(y3 * N[(N[(c * N[(y * y4), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(z * i), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -3.55e+142], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -7.5e-44], t$95$1, If[LessEqual[i, -2.8e-162], t$95$2, If[LessEqual[i, -4.4e-175], t$95$3, If[LessEqual[i, -1.1e-279], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -6.5e-298], N[(y3 * N[(y5 * N[(N[(j * y0), $MachinePrecision] - N[(y * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.6e-218], t$95$3, If[LessEqual[i, 1.3e-75], t$95$1, If[LessEqual[i, 1.32e+116], t$95$3, If[Or[LessEqual[i, 8e+224], N[Not[LessEqual[i, 9.2e+249]], $MachinePrecision]], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if i < -3.55e142

   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 j around inf 48.6%

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

   4. Taylor expanded in i around -inf 56.7%

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

      1. mul-1-neg 56.7%

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

   6. Simplified 56.7%

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

   if -3.55e142 < i < -7.50000000000000008e-44 or 2.59999999999999983e-218 < i < 1.3e-75

   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 y3 around -inf 31.8%

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

   4. Taylor expanded in j around 0 35.8%

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

   5. Taylor expanded in y5 around 0 49.2%

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

   if -7.50000000000000008e-44 < i < -2.80000000000000022e-162 or 7.99999999999999976e224 < i < 9.1999999999999993e249

   1. Initial program 31.4%

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

   3. Taylor expanded in c around inf 43.9%

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

      1. mul-1-neg 43.9%

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

   5. Simplified 43.9%

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

   6. Taylor expanded in t around inf 66.1%

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

   if -2.80000000000000022e-162 < i < -4.4e-175 or -6.5000000000000002e-298 < i < 2.59999999999999983e-218 or 1.3e-75 < i < 1.32000000000000002e116

   1. Initial program 24.6%

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

   3. Taylor expanded in c around inf 27.4%

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

      1. mul-1-neg 27.4%

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

   5. Simplified 27.4%

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

   6. Taylor expanded in y1 around inf 60.5%

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

   if -4.4e-175 < i < -1.1e-279

   1. Initial program 20.2%

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

   3. Taylor expanded in b around inf 42.0%

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

   4. Taylor expanded in y4 around 0 52.5%

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

   if -1.1e-279 < i < -6.5000000000000002e-298

   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 y3 around -inf 20.0%

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

   4. Taylor expanded in y5 around -inf 80.4%

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

      1. mul-1-neg 80.4%

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

   6. Simplified 80.4%

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

   if 1.32000000000000002e116 < i < 7.99999999999999976e224 or 9.1999999999999993e249 < i

   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 i around -inf 62.0%

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

   4. Taylor expanded in y5 around 0 64.4%

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

4. Final simplification 58.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -3.55 \cdot 10^{+142}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-44}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -2.8 \cdot 10^{-162}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + \left(c \cdot \left(z \cdot i\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)\\ \mathbf{elif}\;i \leq -4.4 \cdot 10^{-175}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq -1.1 \cdot 10^{-279}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -6.5 \cdot 10^{-298}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-218}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 1.3 \cdot 10^{-75}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.32 \cdot 10^{+116}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 8 \cdot 10^{+224} \lor \neg \left(i \leq 9.2 \cdot 10^{+249}\right):\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + \left(c \cdot \left(z \cdot i\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 36.1% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot y3 - x \cdot y2\\ t_2 := y1 \cdot \left(x \cdot j - z \cdot k\right)\\ t_3 := a \cdot \left(x \cdot y - z \cdot t\right)\\ t_4 := a \cdot y1 - c \cdot y0\\ t_5 := y0 \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{if}\;z \leq -2.2 \cdot 10^{+241}:\\ \;\;\;\;i \cdot \left(t\_2 + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{+167}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot t\_4\right)\\ \mathbf{elif}\;z \leq -9.8 \cdot 10^{+60}:\\ \;\;\;\;i \cdot t\_2\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-7}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-293}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-170}:\\ \;\;\;\;y1 \cdot \left(a \cdot t\_1 + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{-138}:\\ \;\;\;\;b \cdot \left(\left(t\_3 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + t\_5\right)\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-71}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot t\_1\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(t\_3 + t\_5\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_4 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z y3) (* x y2)))
        (t_2 (* y1 (- (* x j) (* z k))))
        (t_3 (* a (- (* x y) (* z t))))
        (t_4 (- (* a y1) (* c y0)))
        (t_5 (* y0 (- (* z k) (* x j)))))
   (if (<= z -2.2e+241)
     (* i (+ t_2 (* c (- (* z t) (* x y)))))
     (if (<= z -3e+167)
       (* y3 (+ (* y (- (* c y4) (* a y5))) (* z t_4)))
       (if (<= z -9.8e+60)
         (* i t_2)
         (if (<= z -1.4e-7)
           (* b (* x (- (* y a) (* j y0))))
           (if (<= z -2.6e-117)
             (* j (* y1 (- (* x i) (* y3 y4))))
             (if (<= z -1.85e-293)
               (*
                k
                (+ (* y (- (* i y5) (* b y4))) (* y2 (- (* y1 y4) (* y0 y5)))))
               (if (<= z 3e-170)
                 (* y1 (+ (* a t_1) (* y4 (- (* k y2) (* j y3)))))
                 (if (<= z 4.6e-138)
                   (* b (+ (+ t_3 (* y4 (- (* t j) (* y k)))) t_5))
                   (if (<= z 1.35e-71)
                     (* c (* y3 (- (* y y4) (* z y0))))
                     (if (<= z 2.7e-42)
                       (*
                        x
                        (+
                         (+
                          (* y (- (* a b) (* c i)))
                          (* y2 (- (* c y0) (* a y1))))
                         (* j (- (* i y1) (* b y0)))))
                       (if (<= z 2.2e+37)
                         (* a (+ (* y5 (- (* t y2) (* y y3))) (* y1 t_1)))
                         (if (<= z 1.45e+137)
                           (* b (+ t_3 t_5))
                           (*
                            z
                            (+
                             (* y3 t_4)
                             (* t (- (* c i) (* a b)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * y3) - (x * y2);
	double t_2 = y1 * ((x * j) - (z * k));
	double t_3 = a * ((x * y) - (z * t));
	double t_4 = (a * y1) - (c * y0);
	double t_5 = y0 * ((z * k) - (x * j));
	double tmp;
	if (z <= -2.2e+241) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -3e+167) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_4));
	} else if (z <= -9.8e+60) {
		tmp = i * t_2;
	} else if (z <= -1.4e-7) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -2.6e-117) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= -1.85e-293) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	} else if (z <= 3e-170) {
		tmp = y1 * ((a * t_1) + (y4 * ((k * y2) - (j * y3))));
	} else if (z <= 4.6e-138) {
		tmp = b * ((t_3 + (y4 * ((t * j) - (y * k)))) + t_5);
	} else if (z <= 1.35e-71) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (z <= 2.7e-42) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (z <= 2.2e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_1));
	} else if (z <= 1.45e+137) {
		tmp = b * (t_3 + t_5);
	} else {
		tmp = z * ((y3 * t_4) + (t * ((c * i) - (a * b))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (z * y3) - (x * y2)
    t_2 = y1 * ((x * j) - (z * k))
    t_3 = a * ((x * y) - (z * t))
    t_4 = (a * y1) - (c * y0)
    t_5 = y0 * ((z * k) - (x * j))
    if (z <= (-2.2d+241)) then
        tmp = i * (t_2 + (c * ((z * t) - (x * y))))
    else if (z <= (-3d+167)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_4))
    else if (z <= (-9.8d+60)) then
        tmp = i * t_2
    else if (z <= (-1.4d-7)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-2.6d-117)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= (-1.85d-293)) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))))
    else if (z <= 3d-170) then
        tmp = y1 * ((a * t_1) + (y4 * ((k * y2) - (j * y3))))
    else if (z <= 4.6d-138) then
        tmp = b * ((t_3 + (y4 * ((t * j) - (y * k)))) + t_5)
    else if (z <= 1.35d-71) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (z <= 2.7d-42) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    else if (z <= 2.2d+37) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_1))
    else if (z <= 1.45d+137) then
        tmp = b * (t_3 + t_5)
    else
        tmp = z * ((y3 * t_4) + (t * ((c * i) - (a * b))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * y3) - (x * y2);
	double t_2 = y1 * ((x * j) - (z * k));
	double t_3 = a * ((x * y) - (z * t));
	double t_4 = (a * y1) - (c * y0);
	double t_5 = y0 * ((z * k) - (x * j));
	double tmp;
	if (z <= -2.2e+241) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -3e+167) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_4));
	} else if (z <= -9.8e+60) {
		tmp = i * t_2;
	} else if (z <= -1.4e-7) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -2.6e-117) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= -1.85e-293) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	} else if (z <= 3e-170) {
		tmp = y1 * ((a * t_1) + (y4 * ((k * y2) - (j * y3))));
	} else if (z <= 4.6e-138) {
		tmp = b * ((t_3 + (y4 * ((t * j) - (y * k)))) + t_5);
	} else if (z <= 1.35e-71) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (z <= 2.7e-42) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (z <= 2.2e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_1));
	} else if (z <= 1.45e+137) {
		tmp = b * (t_3 + t_5);
	} else {
		tmp = z * ((y3 * t_4) + (t * ((c * i) - (a * b))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (z * y3) - (x * y2)
	t_2 = y1 * ((x * j) - (z * k))
	t_3 = a * ((x * y) - (z * t))
	t_4 = (a * y1) - (c * y0)
	t_5 = y0 * ((z * k) - (x * j))
	tmp = 0
	if z <= -2.2e+241:
		tmp = i * (t_2 + (c * ((z * t) - (x * y))))
	elif z <= -3e+167:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_4))
	elif z <= -9.8e+60:
		tmp = i * t_2
	elif z <= -1.4e-7:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -2.6e-117:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= -1.85e-293:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))))
	elif z <= 3e-170:
		tmp = y1 * ((a * t_1) + (y4 * ((k * y2) - (j * y3))))
	elif z <= 4.6e-138:
		tmp = b * ((t_3 + (y4 * ((t * j) - (y * k)))) + t_5)
	elif z <= 1.35e-71:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif z <= 2.7e-42:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	elif z <= 2.2e+37:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_1))
	elif z <= 1.45e+137:
		tmp = b * (t_3 + t_5)
	else:
		tmp = z * ((y3 * t_4) + (t * ((c * i) - (a * b))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(z * y3) - Float64(x * y2))
	t_2 = Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))
	t_3 = Float64(a * Float64(Float64(x * y) - Float64(z * t)))
	t_4 = Float64(Float64(a * y1) - Float64(c * y0))
	t_5 = Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))
	tmp = 0.0
	if (z <= -2.2e+241)
		tmp = Float64(i * Float64(t_2 + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	elseif (z <= -3e+167)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(z * t_4)));
	elseif (z <= -9.8e+60)
		tmp = Float64(i * t_2);
	elseif (z <= -1.4e-7)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -2.6e-117)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= -1.85e-293)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))));
	elseif (z <= 3e-170)
		tmp = Float64(y1 * Float64(Float64(a * t_1) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))));
	elseif (z <= 4.6e-138)
		tmp = Float64(b * Float64(Float64(t_3 + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + t_5));
	elseif (z <= 1.35e-71)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (z <= 2.7e-42)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (z <= 2.2e+37)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * t_1)));
	elseif (z <= 1.45e+137)
		tmp = Float64(b * Float64(t_3 + t_5));
	else
		tmp = Float64(z * Float64(Float64(y3 * t_4) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (z * y3) - (x * y2);
	t_2 = y1 * ((x * j) - (z * k));
	t_3 = a * ((x * y) - (z * t));
	t_4 = (a * y1) - (c * y0);
	t_5 = y0 * ((z * k) - (x * j));
	tmp = 0.0;
	if (z <= -2.2e+241)
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	elseif (z <= -3e+167)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_4));
	elseif (z <= -9.8e+60)
		tmp = i * t_2;
	elseif (z <= -1.4e-7)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -2.6e-117)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= -1.85e-293)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	elseif (z <= 3e-170)
		tmp = y1 * ((a * t_1) + (y4 * ((k * y2) - (j * y3))));
	elseif (z <= 4.6e-138)
		tmp = b * ((t_3 + (y4 * ((t * j) - (y * k)))) + t_5);
	elseif (z <= 1.35e-71)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (z <= 2.7e-42)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	elseif (z <= 2.2e+37)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * t_1));
	elseif (z <= 1.45e+137)
		tmp = b * (t_3 + t_5);
	else
		tmp = z * ((y3 * t_4) + (t * ((c * i) - (a * b))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -2.2e+241], N[(i * N[(t$95$2 + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3e+167], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -9.8e+60], N[(i * t$95$2), $MachinePrecision], If[LessEqual[z, -1.4e-7], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2.6e-117], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.85e-293], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3e-170], N[(y1 * N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.6e-138], N[(b * N[(N[(t$95$3 + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.35e-71], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.7e-42], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.2e+37], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.45e+137], N[(b * N[(t$95$3 + t$95$5), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(y3 * t$95$4), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if z < -2.2e241

   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 i around -inf 85.7%

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

   4. Taylor expanded in y5 around 0 85.7%

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

   if -2.2e241 < z < -3.00000000000000012e167

   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 y3 around -inf 31.8%

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

   4. Taylor expanded in j around 0 63.0%

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

   if -3.00000000000000012e167 < z < -9.8000000000000005e60

   1. Initial program 18.8%

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

   3. Taylor expanded in i around -inf 50.0%

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

   4. Taylor expanded in y1 around inf 63.2%

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

   if -9.8000000000000005e60 < z < -1.4000000000000001e-7

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -1.4000000000000001e-7 < z < -2.59999999999999983e-117

   1. Initial program 16.0%

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

   3. Taylor expanded in j around inf 62.0%

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

   4. Taylor expanded in y1 around -inf 58.8%

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

      1. mul-1-neg 58.8%

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

   6. Simplified 58.8%

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

   if -2.59999999999999983e-117 < z < -1.85000000000000004e-293

   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 c around inf 37.9%

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

      1. mul-1-neg 37.9%

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

   5. Simplified 37.9%

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

   6. Taylor expanded in k around inf 45.9%

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

   if -1.85000000000000004e-293 < z < 3.00000000000000013e-170

   1. Initial program 21.0%

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

   3. Taylor expanded in c around inf 37.2%

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

      1. mul-1-neg 37.2%

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

   5. Simplified 37.2%

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

   6. Taylor expanded in y1 around inf 50.4%

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

   if 3.00000000000000013e-170 < z < 4.5999999999999998e-138

   1. Initial program 100.0%

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

   3. Taylor expanded in b around inf 100.0%

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

   if 4.5999999999999998e-138 < z < 1.3500000000000001e-71

   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 y3 around -inf 60.0%

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

   4. Taylor expanded in c around inf 70.2%

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

   if 1.3500000000000001e-71 < z < 2.69999999999999999e-42

   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 x around inf 84.1%

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

   if 2.69999999999999999e-42 < z < 2.2000000000000001e37

   1. Initial program 26.3%

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

   3. Taylor expanded in c around inf 30.4%

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

      1. mul-1-neg 30.4%

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

   5. Simplified 30.4%

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

   6. Taylor expanded in a around -inf 56.9%

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

      1. mul-1-neg 56.9%

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

   8. Simplified 56.9%

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

   if 2.2000000000000001e37 < z < 1.44999999999999992e137

   1. Initial program 27.8%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around 0 56.7%

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

   if 1.44999999999999992e137 < z

   1. Initial program 24.7%

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

   3. Taylor expanded in z around -inf 75.3%

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

   4. Taylor expanded in k around 0 73.0%

      \[\leadsto -1 \cdot \color{blue}{\left(z \cdot \left(t \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 61.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -2.2 \cdot 10^{+241}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{+167}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -9.8 \cdot 10^{+60}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-7}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-293}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-170}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{-138}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-71}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 32.3% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(z \cdot \left(y1 \cdot \left(\frac{t \cdot c}{y1} - k\right)\right)\right)\\ t_2 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{if}\;y1 \leq -4.8 \cdot 10^{+235}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -1.65 \cdot 10^{+127}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -1.9 \cdot 10^{+98}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{-8}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -1.3 \cdot 10^{-29}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y1 \leq -3.5 \cdot 10^{-55}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -4.2 \cdot 10^{-208}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 5.6 \cdot 10^{-195}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 9.6 \cdot 10^{-147}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 3.4 \cdot 10^{-85}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq 1.4 \cdot 10^{+53}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* z (* y1 (- (/ (* t c) y1) k)))))
        (t_2 (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))))
   (if (<= y1 -4.8e+235)
     (* y3 (* y1 (- (* z a) (* j y4))))
     (if (<= y1 -1.65e+127)
       t_1
       (if (<= y1 -1.9e+98)
         (* b (* y0 (- (* z k) (* x j))))
         (if (<= y1 -1.35e-8)
           (* z (* c (- (* t i) (* y0 y3))))
           (if (<= y1 -1.3e-29)
             t_2
             (if (<= y1 -3.5e-55)
               (* y3 (* a (- (* z y1) (* y y5))))
               (if (<= y1 -4.2e-208)
                 (* b (* x (- (* y a) (* j y0))))
                 (if (<= y1 5.6e-195)
                   (* j (* t (- (* b y4) (* i y5))))
                   (if (<= y1 9.6e-147)
                     (* j (* y0 (- (* y3 y5) (* x b))))
                     (if (<= y1 3.4e-85)
                       t_1
                       (if (<= y1 1.4e+53)
                         t_2
                         (* i (* z (* t (- c (* k (/ y1 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 t_1 = i * (z * (y1 * (((t * c) / y1) - k)));
	double t_2 = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	double tmp;
	if (y1 <= -4.8e+235) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (y1 <= -1.65e+127) {
		tmp = t_1;
	} else if (y1 <= -1.9e+98) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= -1.35e-8) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y1 <= -1.3e-29) {
		tmp = t_2;
	} else if (y1 <= -3.5e-55) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y1 <= -4.2e-208) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y1 <= 5.6e-195) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y1 <= 9.6e-147) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y1 <= 3.4e-85) {
		tmp = t_1;
	} else if (y1 <= 1.4e+53) {
		tmp = t_2;
	} else {
		tmp = i * (z * (t * (c - (k * (y1 / 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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = i * (z * (y1 * (((t * c) / y1) - k)))
    t_2 = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    if (y1 <= (-4.8d+235)) then
        tmp = y3 * (y1 * ((z * a) - (j * y4)))
    else if (y1 <= (-1.65d+127)) then
        tmp = t_1
    else if (y1 <= (-1.9d+98)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y1 <= (-1.35d-8)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y1 <= (-1.3d-29)) then
        tmp = t_2
    else if (y1 <= (-3.5d-55)) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (y1 <= (-4.2d-208)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y1 <= 5.6d-195) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (y1 <= 9.6d-147) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (y1 <= 3.4d-85) then
        tmp = t_1
    else if (y1 <= 1.4d+53) then
        tmp = t_2
    else
        tmp = i * (z * (t * (c - (k * (y1 / 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 t_1 = i * (z * (y1 * (((t * c) / y1) - k)));
	double t_2 = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	double tmp;
	if (y1 <= -4.8e+235) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (y1 <= -1.65e+127) {
		tmp = t_1;
	} else if (y1 <= -1.9e+98) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= -1.35e-8) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y1 <= -1.3e-29) {
		tmp = t_2;
	} else if (y1 <= -3.5e-55) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y1 <= -4.2e-208) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y1 <= 5.6e-195) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y1 <= 9.6e-147) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y1 <= 3.4e-85) {
		tmp = t_1;
	} else if (y1 <= 1.4e+53) {
		tmp = t_2;
	} else {
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (z * (y1 * (((t * c) / y1) - k)))
	t_2 = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	tmp = 0
	if y1 <= -4.8e+235:
		tmp = y3 * (y1 * ((z * a) - (j * y4)))
	elif y1 <= -1.65e+127:
		tmp = t_1
	elif y1 <= -1.9e+98:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y1 <= -1.35e-8:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y1 <= -1.3e-29:
		tmp = t_2
	elif y1 <= -3.5e-55:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif y1 <= -4.2e-208:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y1 <= 5.6e-195:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif y1 <= 9.6e-147:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif y1 <= 3.4e-85:
		tmp = t_1
	elif y1 <= 1.4e+53:
		tmp = t_2
	else:
		tmp = i * (z * (t * (c - (k * (y1 / t)))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(z * Float64(y1 * Float64(Float64(Float64(t * c) / y1) - k))))
	t_2 = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))))
	tmp = 0.0
	if (y1 <= -4.8e+235)
		tmp = Float64(y3 * Float64(y1 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y1 <= -1.65e+127)
		tmp = t_1;
	elseif (y1 <= -1.9e+98)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y1 <= -1.35e-8)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y1 <= -1.3e-29)
		tmp = t_2;
	elseif (y1 <= -3.5e-55)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y1 <= -4.2e-208)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y1 <= 5.6e-195)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y1 <= 9.6e-147)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y1 <= 3.4e-85)
		tmp = t_1;
	elseif (y1 <= 1.4e+53)
		tmp = t_2;
	else
		tmp = Float64(i * Float64(z * Float64(t * Float64(c - Float64(k * Float64(y1 / 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)
	t_1 = i * (z * (y1 * (((t * c) / y1) - k)));
	t_2 = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	tmp = 0.0;
	if (y1 <= -4.8e+235)
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	elseif (y1 <= -1.65e+127)
		tmp = t_1;
	elseif (y1 <= -1.9e+98)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y1 <= -1.35e-8)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y1 <= -1.3e-29)
		tmp = t_2;
	elseif (y1 <= -3.5e-55)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (y1 <= -4.2e-208)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y1 <= 5.6e-195)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (y1 <= 9.6e-147)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (y1 <= 3.4e-85)
		tmp = t_1;
	elseif (y1 <= 1.4e+53)
		tmp = t_2;
	else
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(z * N[(y1 * N[(N[(N[(t * c), $MachinePrecision] / y1), $MachinePrecision] - k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -4.8e+235], N[(y3 * N[(y1 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.65e+127], t$95$1, If[LessEqual[y1, -1.9e+98], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.35e-8], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.3e-29], t$95$2, If[LessEqual[y1, -3.5e-55], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4.2e-208], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 5.6e-195], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 9.6e-147], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.4e-85], t$95$1, If[LessEqual[y1, 1.4e+53], t$95$2, N[(i * N[(z * N[(t * N[(c - N[(k * N[(y1 / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y1 < -4.7999999999999998e235

   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 y3 around -inf 21.9%

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

   4. Taylor expanded in y1 around inf 58.3%

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

   if -4.7999999999999998e235 < y1 < -1.64999999999999988e127 or 9.59999999999999994e-147 < y1 < 3.4e-85

   1. Initial program 27.5%

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

   3. Taylor expanded in i around -inf 49.2%

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

   4. Taylor expanded in z around -inf 44.1%

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

      1. mul-1-neg 44.1%

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

   6. Simplified 44.1%

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

   7. Taylor expanded in y1 around inf 46.8%

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

   if -1.64999999999999988e127 < y1 < -1.89999999999999995e98

   1. Initial program 12.5%

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

   3. Taylor expanded in b around inf 13.1%

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

   4. Taylor expanded in y0 around inf 75.3%

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

   if -1.89999999999999995e98 < y1 < -1.35000000000000001e-8

   1. Initial program 29.0%

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

   3. Taylor expanded in z around -inf 43.5%

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

   4. Taylor expanded in c around inf 47.2%

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

      1. +-commutative 47.2%

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

      2. mul-1-neg 47.2%

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

      3. unsub-neg 47.2%

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

      4. *-commutative 47.2%

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

   6. Simplified 47.2%

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

   if -1.35000000000000001e-8 < y1 < -1.3000000000000001e-29 or 3.4e-85 < y1 < 1.4e53

   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 c around inf 26.5%

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

      1. mul-1-neg 26.5%

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

   5. Simplified 26.5%

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

   6. Taylor expanded in x around inf 61.7%

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

   if -1.3000000000000001e-29 < y1 < -3.50000000000000025e-55

   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 y3 around -inf 33.3%

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

   4. Taylor expanded in a around -inf 65.9%

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

      1. mul-1-neg 65.9%

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

   6. Simplified 65.9%

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

   if -3.50000000000000025e-55 < y1 < -4.20000000000000024e-208

   1. Initial program 32.8%

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

   3. Taylor expanded in b around inf 43.8%

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

   4. Taylor expanded in x around inf 47.6%

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

   if -4.20000000000000024e-208 < y1 < 5.60000000000000007e-195

   1. Initial program 42.2%

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

   3. Taylor expanded in j around inf 42.4%

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

   4. Taylor expanded in t around inf 52.3%

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

   if 5.60000000000000007e-195 < y1 < 9.59999999999999994e-147

   1. Initial program 12.5%

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

   3. Taylor expanded in j around inf 50.0%

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

   4. Taylor expanded in y0 around inf 87.9%

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

   if 1.4e53 < y1

   1. Initial program 18.7%

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

   3. Taylor expanded in i around -inf 43.3%

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

   4. Taylor expanded in z around -inf 43.9%

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

      1. mul-1-neg 43.9%

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

   6. Simplified 43.9%

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

   7. Taylor expanded in t around inf 45.7%

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

      1. mul-1-neg 45.7%

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

      2. unsub-neg 45.7%

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

      3. associate-/l* 52.8%

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

   9. Simplified 52.8%

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

4. Final simplification 54.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -4.8 \cdot 10^{+235}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -1.65 \cdot 10^{+127}:\\ \;\;\;\;i \cdot \left(z \cdot \left(y1 \cdot \left(\frac{t \cdot c}{y1} - k\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.9 \cdot 10^{+98}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{-8}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -1.3 \cdot 10^{-29}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;y1 \leq -3.5 \cdot 10^{-55}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -4.2 \cdot 10^{-208}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 5.6 \cdot 10^{-195}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 9.6 \cdot 10^{-147}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y1 \leq 3.4 \cdot 10^{-85}:\\ \;\;\;\;i \cdot \left(z \cdot \left(y1 \cdot \left(\frac{t \cdot c}{y1} - k\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 1.4 \cdot 10^{+53}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 30.6% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{if}\;j \leq -2.55 \cdot 10^{+194}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -3.8 \cdot 10^{+79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -2.9 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{-37}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;j \leq -3 \cdot 10^{-157}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_1\right)\\ \mathbf{elif}\;j \leq 8.5 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-142}:\\ \;\;\;\;y3 \cdot \left(z \cdot t\_1\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{-74}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-8}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 6.6 \cdot 10^{+50}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 1.3 \cdot 10^{+139}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+204}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0))) (t_2 (* b (* k (- (* z y0) (* y y4))))))
   (if (<= j -2.55e+194)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= j -3.8e+79)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= j -2.9e+24)
         (* c (* i (- (* z t) (* x y))))
         (if (<= j -4.8e-37)
           t_2
           (if (<= j -3e-157)
             (* z (* y3 t_1))
             (if (<= j 8.5e-196)
               (* b (* z (- (* k y0) (* t a))))
               (if (<= j 4.9e-142)
                 (* y3 (* z t_1))
                 (if (<= j 5.5e-74)
                   (* b (* a (- (* x y) (* z t))))
                   (if (<= j 4.3e-8)
                     (* y1 (* a (* z y3)))
                     (if (<= j 6.6e+50)
                       (* b (* y0 (- (* z k) (* x j))))
                       (if (<= j 1.3e+139)
                         t_2
                         (if (<= j 5.5e+204)
                           (* j (* y1 (- (* x i) (* y3 y4))))
                           (* j (* y0 (- (* y3 y5) (* 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 t_1 = (a * y1) - (c * y0);
	double t_2 = b * (k * ((z * y0) - (y * y4)));
	double tmp;
	if (j <= -2.55e+194) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -3.8e+79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -2.9e+24) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (j <= -4.8e-37) {
		tmp = t_2;
	} else if (j <= -3e-157) {
		tmp = z * (y3 * t_1);
	} else if (j <= 8.5e-196) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (j <= 4.9e-142) {
		tmp = y3 * (z * t_1);
	} else if (j <= 5.5e-74) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 4.3e-8) {
		tmp = y1 * (a * (z * y3));
	} else if (j <= 6.6e+50) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (j <= 1.3e+139) {
		tmp = t_2;
	} else if (j <= 5.5e+204) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    t_2 = b * (k * ((z * y0) - (y * y4)))
    if (j <= (-2.55d+194)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (j <= (-3.8d+79)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (j <= (-2.9d+24)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (j <= (-4.8d-37)) then
        tmp = t_2
    else if (j <= (-3d-157)) then
        tmp = z * (y3 * t_1)
    else if (j <= 8.5d-196) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (j <= 4.9d-142) then
        tmp = y3 * (z * t_1)
    else if (j <= 5.5d-74) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (j <= 4.3d-8) then
        tmp = y1 * (a * (z * y3))
    else if (j <= 6.6d+50) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (j <= 1.3d+139) then
        tmp = t_2
    else if (j <= 5.5d+204) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else
        tmp = j * (y0 * ((y3 * y5) - (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 t_1 = (a * y1) - (c * y0);
	double t_2 = b * (k * ((z * y0) - (y * y4)));
	double tmp;
	if (j <= -2.55e+194) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -3.8e+79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -2.9e+24) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (j <= -4.8e-37) {
		tmp = t_2;
	} else if (j <= -3e-157) {
		tmp = z * (y3 * t_1);
	} else if (j <= 8.5e-196) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (j <= 4.9e-142) {
		tmp = y3 * (z * t_1);
	} else if (j <= 5.5e-74) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 4.3e-8) {
		tmp = y1 * (a * (z * y3));
	} else if (j <= 6.6e+50) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (j <= 1.3e+139) {
		tmp = t_2;
	} else if (j <= 5.5e+204) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = b * (k * ((z * y0) - (y * y4)))
	tmp = 0
	if j <= -2.55e+194:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif j <= -3.8e+79:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif j <= -2.9e+24:
		tmp = c * (i * ((z * t) - (x * y)))
	elif j <= -4.8e-37:
		tmp = t_2
	elif j <= -3e-157:
		tmp = z * (y3 * t_1)
	elif j <= 8.5e-196:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif j <= 4.9e-142:
		tmp = y3 * (z * t_1)
	elif j <= 5.5e-74:
		tmp = b * (a * ((x * y) - (z * t)))
	elif j <= 4.3e-8:
		tmp = y1 * (a * (z * y3))
	elif j <= 6.6e+50:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif j <= 1.3e+139:
		tmp = t_2
	elif j <= 5.5e+204:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	else:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	t_2 = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))))
	tmp = 0.0
	if (j <= -2.55e+194)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (j <= -3.8e+79)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (j <= -2.9e+24)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (j <= -4.8e-37)
		tmp = t_2;
	elseif (j <= -3e-157)
		tmp = Float64(z * Float64(y3 * t_1));
	elseif (j <= 8.5e-196)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (j <= 4.9e-142)
		tmp = Float64(y3 * Float64(z * t_1));
	elseif (j <= 5.5e-74)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= 4.3e-8)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (j <= 6.6e+50)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (j <= 1.3e+139)
		tmp = t_2;
	elseif (j <= 5.5e+204)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	else
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - 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)
	t_1 = (a * y1) - (c * y0);
	t_2 = b * (k * ((z * y0) - (y * y4)));
	tmp = 0.0;
	if (j <= -2.55e+194)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (j <= -3.8e+79)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (j <= -2.9e+24)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (j <= -4.8e-37)
		tmp = t_2;
	elseif (j <= -3e-157)
		tmp = z * (y3 * t_1);
	elseif (j <= 8.5e-196)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (j <= 4.9e-142)
		tmp = y3 * (z * t_1);
	elseif (j <= 5.5e-74)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (j <= 4.3e-8)
		tmp = y1 * (a * (z * y3));
	elseif (j <= 6.6e+50)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (j <= 1.3e+139)
		tmp = t_2;
	elseif (j <= 5.5e+204)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	else
		tmp = j * (y0 * ((y3 * y5) - (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_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -2.55e+194], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -3.8e+79], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.9e+24], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.8e-37], t$95$2, If[LessEqual[j, -3e-157], N[(z * N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 8.5e-196], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.9e-142], N[(y3 * N[(z * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.5e-74], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.3e-8], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6.6e+50], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.3e+139], t$95$2, If[LessEqual[j, 5.5e+204], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if j < -2.5500000000000001e194

   1. Initial program 12.9%

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

   3. Taylor expanded in j around inf 58.3%

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

   4. Taylor expanded in i around -inf 64.8%

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

      1. mul-1-neg 64.8%

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

   6. Simplified 64.8%

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

   if -2.5500000000000001e194 < j < -3.8000000000000002e79

   1. Initial program 23.3%

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

   3. Taylor expanded in b around inf 46.3%

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

   4. Taylor expanded in y4 around inf 58.5%

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

   if -3.8000000000000002e79 < j < -2.89999999999999979e24

   1. Initial program 13.2%

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

   3. Taylor expanded in i around -inf 37.5%

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

   4. Taylor expanded in c around inf 75.1%

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

   if -2.89999999999999979e24 < j < -4.79999999999999982e-37 or 6.6000000000000001e50 < j < 1.30000000000000011e139

   1. Initial program 19.8%

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

   3. Taylor expanded in b around inf 48.6%

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

   4. Taylor expanded in k around -inf 49.4%

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

      1. mul-1-neg 49.4%

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

   6. Simplified 49.4%

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

   if -4.79999999999999982e-37 < j < -3e-157

   1. Initial program 40.1%

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

   3. Taylor expanded in z around -inf 31.4%

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

   4. Taylor expanded in y3 around inf 49.1%

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

   if -3e-157 < j < 8.50000000000000004e-196

   1. Initial program 39.4%

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

   3. Taylor expanded in b around inf 44.4%

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

   4. Taylor expanded in z around -inf 40.1%

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

      1. mul-1-neg 40.1%

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

   6. Simplified 40.1%

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

   if 8.50000000000000004e-196 < j < 4.9000000000000003e-142

   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 y3 around -inf 44.5%

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

   4. Taylor expanded in z around inf 78.2%

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

   if 4.9000000000000003e-142 < j < 5.5000000000000001e-74

   1. Initial program 23.6%

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

   3. Taylor expanded in b around inf 35.5%

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

   4. Taylor expanded in a around inf 46.3%

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

   if 5.5000000000000001e-74 < j < 4.3000000000000001e-8

   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 c around inf 29.7%

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

      1. mul-1-neg 29.7%

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

   5. Simplified 29.7%

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

   6. Taylor expanded in y1 around inf 59.9%

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

   7. Taylor expanded in z around inf 53.7%

      \[\leadsto y1 \cdot \color{blue}{\left(a \cdot \left(y3 \cdot z\right)\right)} \]

   if 4.3000000000000001e-8 < j < 6.6000000000000001e50

   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 b around inf 28.2%

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

   4. Taylor expanded in y0 around inf 55.8%

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

   if 1.30000000000000011e139 < j < 5.4999999999999996e204

   1. Initial program 9.1%

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

   3. Taylor expanded in j around inf 45.5%

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

   4. Taylor expanded in y1 around -inf 72.8%

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

      1. mul-1-neg 72.8%

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

   6. Simplified 72.8%

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

   if 5.4999999999999996e204 < j

   1. Initial program 12.2%

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

   3. Taylor expanded in j around inf 64.0%

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

   4. Taylor expanded in y0 around inf 68.6%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 55.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -2.55 \cdot 10^{+194}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -3.8 \cdot 10^{+79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -2.9 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{-37}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -3 \cdot 10^{-157}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 8.5 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-142}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{-74}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-8}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 6.6 \cdot 10^{+50}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 1.3 \cdot 10^{+139}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+204}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 31.4% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ \mathbf{if}\;j \leq -3.8 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.6 \cdot 10^{+79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-37}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_1\right)\\ \mathbf{elif}\;j \leq 1.12 \cdot 10^{-194}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 1.66 \cdot 10^{-143}:\\ \;\;\;\;y3 \cdot \left(z \cdot t\_1\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{-74}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+16}:\\ \;\;\;\;\left(z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{+80}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 1.45 \cdot 10^{+140}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 3.1 \cdot 10^{+206}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0))))
   (if (<= j -3.8e+193)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= j -1.6e+79)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= j -1.8e+24)
         (* c (* i (- (* z t) (* x y))))
         (if (<= j -7e-37)
           (* b (* k (- (* z y0) (* y y4))))
           (if (<= j -8.5e-161)
             (* z (* y3 t_1))
             (if (<= j 1.12e-194)
               (* b (* z (- (* k y0) (* t a))))
               (if (<= j 1.66e-143)
                 (* y3 (* z t_1))
                 (if (<= j 5.5e-74)
                   (* b (* a (- (* x y) (* z t))))
                   (if (<= j 1.9e+16)
                     (* (* z k) (- (* b y0) (* i y1)))
                     (if (<= j 1.6e+80)
                       (* b (* x (- (* y a) (* j y0))))
                       (if (<= j 1.45e+140)
                         (* y1 (* y2 (- (* k y4) (* x a))))
                         (if (<= j 3.1e+206)
                           (* j (* y1 (- (* x i) (* y3 y4))))
                           (* j (* y0 (- (* y3 y5) (* 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 t_1 = (a * y1) - (c * y0);
	double tmp;
	if (j <= -3.8e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -1.6e+79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -1.8e+24) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (j <= -7e-37) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (j <= -8.5e-161) {
		tmp = z * (y3 * t_1);
	} else if (j <= 1.12e-194) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (j <= 1.66e-143) {
		tmp = y3 * (z * t_1);
	} else if (j <= 5.5e-74) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 1.9e+16) {
		tmp = (z * k) * ((b * y0) - (i * y1));
	} else if (j <= 1.6e+80) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (j <= 1.45e+140) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (j <= 3.1e+206) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (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) :: t_1
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    if (j <= (-3.8d+193)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (j <= (-1.6d+79)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (j <= (-1.8d+24)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (j <= (-7d-37)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (j <= (-8.5d-161)) then
        tmp = z * (y3 * t_1)
    else if (j <= 1.12d-194) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (j <= 1.66d-143) then
        tmp = y3 * (z * t_1)
    else if (j <= 5.5d-74) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (j <= 1.9d+16) then
        tmp = (z * k) * ((b * y0) - (i * y1))
    else if (j <= 1.6d+80) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (j <= 1.45d+140) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (j <= 3.1d+206) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else
        tmp = j * (y0 * ((y3 * y5) - (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 t_1 = (a * y1) - (c * y0);
	double tmp;
	if (j <= -3.8e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -1.6e+79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -1.8e+24) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (j <= -7e-37) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (j <= -8.5e-161) {
		tmp = z * (y3 * t_1);
	} else if (j <= 1.12e-194) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (j <= 1.66e-143) {
		tmp = y3 * (z * t_1);
	} else if (j <= 5.5e-74) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 1.9e+16) {
		tmp = (z * k) * ((b * y0) - (i * y1));
	} else if (j <= 1.6e+80) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (j <= 1.45e+140) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (j <= 3.1e+206) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	tmp = 0
	if j <= -3.8e+193:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif j <= -1.6e+79:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif j <= -1.8e+24:
		tmp = c * (i * ((z * t) - (x * y)))
	elif j <= -7e-37:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif j <= -8.5e-161:
		tmp = z * (y3 * t_1)
	elif j <= 1.12e-194:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif j <= 1.66e-143:
		tmp = y3 * (z * t_1)
	elif j <= 5.5e-74:
		tmp = b * (a * ((x * y) - (z * t)))
	elif j <= 1.9e+16:
		tmp = (z * k) * ((b * y0) - (i * y1))
	elif j <= 1.6e+80:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif j <= 1.45e+140:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif j <= 3.1e+206:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	else:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	tmp = 0.0
	if (j <= -3.8e+193)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (j <= -1.6e+79)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (j <= -1.8e+24)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (j <= -7e-37)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (j <= -8.5e-161)
		tmp = Float64(z * Float64(y3 * t_1));
	elseif (j <= 1.12e-194)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (j <= 1.66e-143)
		tmp = Float64(y3 * Float64(z * t_1));
	elseif (j <= 5.5e-74)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= 1.9e+16)
		tmp = Float64(Float64(z * k) * Float64(Float64(b * y0) - Float64(i * y1)));
	elseif (j <= 1.6e+80)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (j <= 1.45e+140)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (j <= 3.1e+206)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	else
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - 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)
	t_1 = (a * y1) - (c * y0);
	tmp = 0.0;
	if (j <= -3.8e+193)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (j <= -1.6e+79)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (j <= -1.8e+24)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (j <= -7e-37)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (j <= -8.5e-161)
		tmp = z * (y3 * t_1);
	elseif (j <= 1.12e-194)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (j <= 1.66e-143)
		tmp = y3 * (z * t_1);
	elseif (j <= 5.5e-74)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (j <= 1.9e+16)
		tmp = (z * k) * ((b * y0) - (i * y1));
	elseif (j <= 1.6e+80)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (j <= 1.45e+140)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (j <= 3.1e+206)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	else
		tmp = j * (y0 * ((y3 * y5) - (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_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -3.8e+193], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.6e+79], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.8e+24], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7e-37], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -8.5e-161], N[(z * N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.12e-194], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.66e-143], N[(y3 * N[(z * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.5e-74], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.9e+16], N[(N[(z * k), $MachinePrecision] * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.6e+80], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.45e+140], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.1e+206], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if j < -3.79999999999999972e193

   1. Initial program 12.9%

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

   3. Taylor expanded in j around inf 58.3%

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

   4. Taylor expanded in i around -inf 64.8%

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

      1. mul-1-neg 64.8%

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

   6. Simplified 64.8%

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

   if -3.79999999999999972e193 < j < -1.60000000000000001e79

   1. Initial program 23.3%

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

   3. Taylor expanded in b around inf 46.3%

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

   4. Taylor expanded in y4 around inf 58.5%

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

   if -1.60000000000000001e79 < j < -1.79999999999999992e24

   1. Initial program 13.2%

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

   3. Taylor expanded in i around -inf 37.5%

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

   4. Taylor expanded in c around inf 75.1%

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

   if -1.79999999999999992e24 < j < -7.0000000000000003e-37

   1. Initial program 40.5%

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

   3. Taylor expanded in b around inf 60.1%

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

   4. Taylor expanded in k around -inf 53.7%

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

      1. mul-1-neg 53.7%

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

   6. Simplified 53.7%

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

   if -7.0000000000000003e-37 < j < -8.50000000000000054e-161

   1. Initial program 40.1%

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

   3. Taylor expanded in z around -inf 31.4%

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

   4. Taylor expanded in y3 around inf 49.1%

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

   if -8.50000000000000054e-161 < j < 1.12000000000000001e-194

   1. Initial program 39.4%

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

   3. Taylor expanded in b around inf 44.4%

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

   4. Taylor expanded in z around -inf 40.1%

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

      1. mul-1-neg 40.1%

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

   6. Simplified 40.1%

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

   if 1.12000000000000001e-194 < j < 1.6600000000000001e-143

   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 y3 around -inf 44.5%

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

   4. Taylor expanded in z around inf 78.2%

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

   if 1.6600000000000001e-143 < j < 5.5000000000000001e-74

   1. Initial program 23.6%

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

   3. Taylor expanded in b around inf 35.5%

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

   4. Taylor expanded in a around inf 46.3%

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

   if 5.5000000000000001e-74 < j < 1.9e16

   1. Initial program 26.3%

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

   3. Taylor expanded in z around -inf 52.6%

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

   4. Taylor expanded in k around inf 61.5%

      \[\leadsto -1 \cdot \color{blue}{\left(k \cdot \left(z \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 53.0%

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

      2. *-commutative 53.0%

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

      3. *-commutative 53.0%

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

   6. Simplified 53.0%

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

   if 1.9e16 < j < 1.59999999999999995e80

   1. Initial program 20.5%

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

   3. Taylor expanded in b around inf 20.7%

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

   4. Taylor expanded in x around inf 61.3%

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

   if 1.59999999999999995e80 < j < 1.4499999999999999e140

   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 c around inf 0.0%

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

      1. mul-1-neg 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in y1 around inf 33.7%

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

   7. Taylor expanded in y2 around inf 44.0%

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

      1. +-commutative 44.0%

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

      2. mul-1-neg 44.0%

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

      3. unsub-neg 44.0%

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

      4. *-commutative 44.0%

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

   9. Simplified 44.0%

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

   if 1.4499999999999999e140 < j < 3.09999999999999991e206

   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 j around inf 50.0%

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

   4. Taylor expanded in y1 around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

   6. Simplified 80.0%

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

   if 3.09999999999999991e206 < j

   1. Initial program 12.2%

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

   3. Taylor expanded in j around inf 64.0%

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

   4. Taylor expanded in y0 around inf 68.6%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 55.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -3.8 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.6 \cdot 10^{+79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-37}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 1.12 \cdot 10^{-194}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 1.66 \cdot 10^{-143}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{-74}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+16}:\\ \;\;\;\;\left(z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{+80}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 1.45 \cdot 10^{+140}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 3.1 \cdot 10^{+206}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 30.1% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ t_2 := i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{if}\;a \leq -5.8 \cdot 10^{+192}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1 \cdot 10^{+149}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -2.9 \cdot 10^{+43}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{-67}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -9 \cdot 10^{-185}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{-303}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-269}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{-201}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-41}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 28500:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{+129}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.12 \cdot 10^{+280}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0)))))
        (t_2 (* i (* z (* t (- c (* k (/ y1 t))))))))
   (if (<= a -5.8e+192)
     (* z (* y3 (- (* a y1) (* c y0))))
     (if (<= a -1e+149)
       t_1
       (if (<= a -2.9e+43)
         (* i (* x (- (* j y1) (* y c))))
         (if (<= a -1.2e-67)
           t_1
           (if (<= a -9e-185)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= a 5.5e-303)
               t_2
               (if (<= a 2.9e-269)
                 (* c (* y3 (- (* y y4) (* z y0))))
                 (if (<= a 8e-201)
                   t_2
                   (if (<= a 1.05e-41)
                     (* i (* j (- (* x y1) (* t y5))))
                     (if (<= a 28500.0)
                       (* b (* y0 (- (* z k) (* x j))))
                       (if (<= a 9.5e+129)
                         (* y3 (* y1 (- (* z a) (* j y4))))
                         (if (<= a 1.12e+280)
                           t_1
                           (* y1 (* (* x y2) (- a)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double t_2 = i * (z * (t * (c - (k * (y1 / t)))));
	double tmp;
	if (a <= -5.8e+192) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (a <= -1e+149) {
		tmp = t_1;
	} else if (a <= -2.9e+43) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.2e-67) {
		tmp = t_1;
	} else if (a <= -9e-185) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (a <= 5.5e-303) {
		tmp = t_2;
	} else if (a <= 2.9e-269) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (a <= 8e-201) {
		tmp = t_2;
	} else if (a <= 1.05e-41) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (a <= 28500.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 9.5e+129) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (a <= 1.12e+280) {
		tmp = t_1;
	} else {
		tmp = y1 * ((x * y2) * -a);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (x * ((y * a) - (j * y0)))
    t_2 = i * (z * (t * (c - (k * (y1 / t)))))
    if (a <= (-5.8d+192)) then
        tmp = z * (y3 * ((a * y1) - (c * y0)))
    else if (a <= (-1d+149)) then
        tmp = t_1
    else if (a <= (-2.9d+43)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-1.2d-67)) then
        tmp = t_1
    else if (a <= (-9d-185)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (a <= 5.5d-303) then
        tmp = t_2
    else if (a <= 2.9d-269) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (a <= 8d-201) then
        tmp = t_2
    else if (a <= 1.05d-41) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (a <= 28500.0d0) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (a <= 9.5d+129) then
        tmp = y3 * (y1 * ((z * a) - (j * y4)))
    else if (a <= 1.12d+280) then
        tmp = t_1
    else
        tmp = y1 * ((x * y2) * -a)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double t_2 = i * (z * (t * (c - (k * (y1 / t)))));
	double tmp;
	if (a <= -5.8e+192) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (a <= -1e+149) {
		tmp = t_1;
	} else if (a <= -2.9e+43) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.2e-67) {
		tmp = t_1;
	} else if (a <= -9e-185) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (a <= 5.5e-303) {
		tmp = t_2;
	} else if (a <= 2.9e-269) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (a <= 8e-201) {
		tmp = t_2;
	} else if (a <= 1.05e-41) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (a <= 28500.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 9.5e+129) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (a <= 1.12e+280) {
		tmp = t_1;
	} else {
		tmp = y1 * ((x * y2) * -a);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (x * ((y * a) - (j * y0)))
	t_2 = i * (z * (t * (c - (k * (y1 / t)))))
	tmp = 0
	if a <= -5.8e+192:
		tmp = z * (y3 * ((a * y1) - (c * y0)))
	elif a <= -1e+149:
		tmp = t_1
	elif a <= -2.9e+43:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -1.2e-67:
		tmp = t_1
	elif a <= -9e-185:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif a <= 5.5e-303:
		tmp = t_2
	elif a <= 2.9e-269:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif a <= 8e-201:
		tmp = t_2
	elif a <= 1.05e-41:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif a <= 28500.0:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif a <= 9.5e+129:
		tmp = y3 * (y1 * ((z * a) - (j * y4)))
	elif a <= 1.12e+280:
		tmp = t_1
	else:
		tmp = y1 * ((x * y2) * -a)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	t_2 = Float64(i * Float64(z * Float64(t * Float64(c - Float64(k * Float64(y1 / t))))))
	tmp = 0.0
	if (a <= -5.8e+192)
		tmp = Float64(z * Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (a <= -1e+149)
		tmp = t_1;
	elseif (a <= -2.9e+43)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -1.2e-67)
		tmp = t_1;
	elseif (a <= -9e-185)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (a <= 5.5e-303)
		tmp = t_2;
	elseif (a <= 2.9e-269)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (a <= 8e-201)
		tmp = t_2;
	elseif (a <= 1.05e-41)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (a <= 28500.0)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (a <= 9.5e+129)
		tmp = Float64(y3 * Float64(y1 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (a <= 1.12e+280)
		tmp = t_1;
	else
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (x * ((y * a) - (j * y0)));
	t_2 = i * (z * (t * (c - (k * (y1 / t)))));
	tmp = 0.0;
	if (a <= -5.8e+192)
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	elseif (a <= -1e+149)
		tmp = t_1;
	elseif (a <= -2.9e+43)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -1.2e-67)
		tmp = t_1;
	elseif (a <= -9e-185)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (a <= 5.5e-303)
		tmp = t_2;
	elseif (a <= 2.9e-269)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (a <= 8e-201)
		tmp = t_2;
	elseif (a <= 1.05e-41)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (a <= 28500.0)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (a <= 9.5e+129)
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	elseif (a <= 1.12e+280)
		tmp = t_1;
	else
		tmp = y1 * ((x * y2) * -a);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(z * N[(t * N[(c - N[(k * N[(y1 / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -5.8e+192], N[(z * N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1e+149], t$95$1, If[LessEqual[a, -2.9e+43], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.2e-67], t$95$1, If[LessEqual[a, -9e-185], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.5e-303], t$95$2, If[LessEqual[a, 2.9e-269], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8e-201], t$95$2, If[LessEqual[a, 1.05e-41], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 28500.0], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.5e+129], N[(y3 * N[(y1 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.12e+280], t$95$1, N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -5.8000000000000003e192

   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 z around -inf 43.9%

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

   4. Taylor expanded in y3 around inf 61.3%

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

   if -5.8000000000000003e192 < a < -1.00000000000000005e149 or -2.9000000000000002e43 < a < -1.2e-67 or 9.5000000000000004e129 < a < 1.1200000000000001e280

   1. Initial program 28.5%

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

   3. Taylor expanded in b around inf 39.0%

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

   4. Taylor expanded in x around inf 47.5%

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

   if -1.00000000000000005e149 < a < -2.9000000000000002e43

   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 61.7%

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

   4. Taylor expanded in x around inf 54.5%

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

   if -1.2e-67 < a < -9.0000000000000003e-185

   1. Initial program 27.5%

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

   3. Taylor expanded in z around -inf 53.8%

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

   4. Taylor expanded in c around inf 80.7%

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

      1. +-commutative 80.7%

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

      2. mul-1-neg 80.7%

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

      3. unsub-neg 80.7%

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

      4. *-commutative 80.7%

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

   6. Simplified 80.7%

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

   if -9.0000000000000003e-185 < a < 5.50000000000000018e-303 or 2.9000000000000001e-269 < a < 7.99999999999999957e-201

   1. Initial program 31.7%

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

   3. Taylor expanded in i around -inf 50.5%

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

   4. Taylor expanded in z around -inf 53.7%

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

      1. mul-1-neg 53.7%

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

   6. Simplified 53.7%

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

   7. Taylor expanded in t around inf 55.9%

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

      1. mul-1-neg 55.9%

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

      2. unsub-neg 55.9%

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

      3. associate-/l* 56.1%

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

   9. Simplified 56.1%

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

   if 5.50000000000000018e-303 < a < 2.9000000000000001e-269

   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 y3 around -inf 56.2%

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

   4. Taylor expanded in c around inf 67.0%

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

   if 7.99999999999999957e-201 < a < 1.05000000000000006e-41

   1. Initial program 19.6%

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

   3. Taylor expanded in j around inf 33.8%

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

   4. Taylor expanded in i around -inf 46.2%

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

      1. mul-1-neg 46.2%

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

   6. Simplified 46.2%

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

   if 1.05000000000000006e-41 < a < 28500

   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 b around inf 52.8%

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

   4. Taylor expanded in y0 around inf 61.2%

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

   if 28500 < a < 9.5000000000000004e129

   1. Initial program 28.7%

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

   3. Taylor expanded in y3 around -inf 34.1%

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

   4. Taylor expanded in y1 around inf 48.8%

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

   if 1.1200000000000001e280 < a

   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 c around inf 0.0%

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

      1. mul-1-neg 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in y1 around inf 57.1%

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

   7. Taylor expanded in x around inf 100.0%

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

      1. mul-1-neg 100.0%

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

      2. *-commutative 100.0%

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

      3. distribute-rgt-neg-in 100.0%

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

      4. *-commutative 100.0%

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

   9. Simplified 100.0%

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

4. Final simplification 55.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -5.8 \cdot 10^{+192}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1 \cdot 10^{+149}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -2.9 \cdot 10^{+43}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{-67}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -9 \cdot 10^{-185}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{-303}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-269}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{-201}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-41}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 28500:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{+129}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.12 \cdot 10^{+280}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 30.0% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;a \leq -3.5 \cdot 10^{+191}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{+147}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -3.15 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{-68}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-182}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-303}:\\ \;\;\;\;i \cdot \left(z \cdot \left(y1 \cdot \left(\frac{t \cdot c}{y1} - k\right)\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-269}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-205}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{-42}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 30000000:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{+126}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{+280}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= a -3.5e+191)
     (* z (* y3 (- (* a y1) (* c y0))))
     (if (<= a -3.2e+147)
       t_1
       (if (<= a -3.15e+38)
         (* i (* x (- (* j y1) (* y c))))
         (if (<= a -9.5e-68)
           t_1
           (if (<= a -1.36e-182)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= a 1.1e-303)
               (* i (* z (* y1 (- (/ (* t c) y1) k))))
               (if (<= a 7.5e-269)
                 (* c (* y3 (- (* y y4) (* z y0))))
                 (if (<= a 7.5e-205)
                   (* i (* z (* t (- c (* k (/ y1 t))))))
                   (if (<= a 3.6e-42)
                     (* i (* j (- (* x y1) (* t y5))))
                     (if (<= a 30000000.0)
                       (* b (* y0 (- (* z k) (* x j))))
                       (if (<= a 9.5e+126)
                         (* y3 (* y1 (- (* z a) (* j y4))))
                         (if (<= a 1.7e+280)
                           t_1
                           (* y1 (* (* x y2) (- a)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (a <= -3.5e+191) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (a <= -3.2e+147) {
		tmp = t_1;
	} else if (a <= -3.15e+38) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -9.5e-68) {
		tmp = t_1;
	} else if (a <= -1.36e-182) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (a <= 1.1e-303) {
		tmp = i * (z * (y1 * (((t * c) / y1) - k)));
	} else if (a <= 7.5e-269) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (a <= 7.5e-205) {
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	} else if (a <= 3.6e-42) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (a <= 30000000.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 9.5e+126) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (a <= 1.7e+280) {
		tmp = t_1;
	} else {
		tmp = y1 * ((x * y2) * -a);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (x * ((y * a) - (j * y0)))
    if (a <= (-3.5d+191)) then
        tmp = z * (y3 * ((a * y1) - (c * y0)))
    else if (a <= (-3.2d+147)) then
        tmp = t_1
    else if (a <= (-3.15d+38)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-9.5d-68)) then
        tmp = t_1
    else if (a <= (-1.36d-182)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (a <= 1.1d-303) then
        tmp = i * (z * (y1 * (((t * c) / y1) - k)))
    else if (a <= 7.5d-269) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (a <= 7.5d-205) then
        tmp = i * (z * (t * (c - (k * (y1 / t)))))
    else if (a <= 3.6d-42) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (a <= 30000000.0d0) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (a <= 9.5d+126) then
        tmp = y3 * (y1 * ((z * a) - (j * y4)))
    else if (a <= 1.7d+280) then
        tmp = t_1
    else
        tmp = y1 * ((x * y2) * -a)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (a <= -3.5e+191) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (a <= -3.2e+147) {
		tmp = t_1;
	} else if (a <= -3.15e+38) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -9.5e-68) {
		tmp = t_1;
	} else if (a <= -1.36e-182) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (a <= 1.1e-303) {
		tmp = i * (z * (y1 * (((t * c) / y1) - k)));
	} else if (a <= 7.5e-269) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (a <= 7.5e-205) {
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	} else if (a <= 3.6e-42) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (a <= 30000000.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 9.5e+126) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (a <= 1.7e+280) {
		tmp = t_1;
	} else {
		tmp = y1 * ((x * y2) * -a);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (x * ((y * a) - (j * y0)))
	tmp = 0
	if a <= -3.5e+191:
		tmp = z * (y3 * ((a * y1) - (c * y0)))
	elif a <= -3.2e+147:
		tmp = t_1
	elif a <= -3.15e+38:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -9.5e-68:
		tmp = t_1
	elif a <= -1.36e-182:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif a <= 1.1e-303:
		tmp = i * (z * (y1 * (((t * c) / y1) - k)))
	elif a <= 7.5e-269:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif a <= 7.5e-205:
		tmp = i * (z * (t * (c - (k * (y1 / t)))))
	elif a <= 3.6e-42:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif a <= 30000000.0:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif a <= 9.5e+126:
		tmp = y3 * (y1 * ((z * a) - (j * y4)))
	elif a <= 1.7e+280:
		tmp = t_1
	else:
		tmp = y1 * ((x * y2) * -a)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (a <= -3.5e+191)
		tmp = Float64(z * Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (a <= -3.2e+147)
		tmp = t_1;
	elseif (a <= -3.15e+38)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -9.5e-68)
		tmp = t_1;
	elseif (a <= -1.36e-182)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (a <= 1.1e-303)
		tmp = Float64(i * Float64(z * Float64(y1 * Float64(Float64(Float64(t * c) / y1) - k))));
	elseif (a <= 7.5e-269)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (a <= 7.5e-205)
		tmp = Float64(i * Float64(z * Float64(t * Float64(c - Float64(k * Float64(y1 / t))))));
	elseif (a <= 3.6e-42)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (a <= 30000000.0)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (a <= 9.5e+126)
		tmp = Float64(y3 * Float64(y1 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (a <= 1.7e+280)
		tmp = t_1;
	else
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (a <= -3.5e+191)
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	elseif (a <= -3.2e+147)
		tmp = t_1;
	elseif (a <= -3.15e+38)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -9.5e-68)
		tmp = t_1;
	elseif (a <= -1.36e-182)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (a <= 1.1e-303)
		tmp = i * (z * (y1 * (((t * c) / y1) - k)));
	elseif (a <= 7.5e-269)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (a <= 7.5e-205)
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	elseif (a <= 3.6e-42)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (a <= 30000000.0)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (a <= 9.5e+126)
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	elseif (a <= 1.7e+280)
		tmp = t_1;
	else
		tmp = y1 * ((x * y2) * -a);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -3.5e+191], N[(z * N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.2e+147], t$95$1, If[LessEqual[a, -3.15e+38], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -9.5e-68], t$95$1, If[LessEqual[a, -1.36e-182], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.1e-303], N[(i * N[(z * N[(y1 * N[(N[(N[(t * c), $MachinePrecision] / y1), $MachinePrecision] - k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7.5e-269], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7.5e-205], N[(i * N[(z * N[(t * N[(c - N[(k * N[(y1 / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.6e-42], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 30000000.0], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.5e+126], N[(y3 * N[(y1 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.7e+280], t$95$1, N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if a < -3.4999999999999997e191

   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 z around -inf 43.9%

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

   4. Taylor expanded in y3 around inf 61.3%

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

   if -3.4999999999999997e191 < a < -3.19999999999999979e147 or -3.15000000000000001e38 < a < -9.4999999999999997e-68 or 9.49999999999999951e126 < a < 1.69999999999999993e280

   1. Initial program 28.5%

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

   3. Taylor expanded in b around inf 39.0%

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

   4. Taylor expanded in x around inf 47.5%

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

   if -3.19999999999999979e147 < a < -3.15000000000000001e38

   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 61.7%

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

   4. Taylor expanded in x around inf 54.5%

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

   if -9.4999999999999997e-68 < a < -1.36000000000000006e-182

   1. Initial program 27.5%

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

   3. Taylor expanded in z around -inf 53.8%

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

   4. Taylor expanded in c around inf 80.7%

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

      1. +-commutative 80.7%

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

      2. mul-1-neg 80.7%

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

      3. unsub-neg 80.7%

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

      4. *-commutative 80.7%

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

   6. Simplified 80.7%

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

   if -1.36000000000000006e-182 < a < 1.10000000000000007e-303

   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 i around -inf 46.3%

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

   4. Taylor expanded in z around -inf 47.1%

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

      1. mul-1-neg 47.1%

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

   6. Simplified 47.1%

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

   7. Taylor expanded in y1 around inf 51.6%

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

   if 1.10000000000000007e-303 < a < 7.4999999999999993e-269

   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 y3 around -inf 56.2%

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

   4. Taylor expanded in c around inf 67.0%

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

   if 7.4999999999999993e-269 < a < 7.4999999999999996e-205

   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 i around -inf 55.1%

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

   4. Taylor expanded in z around -inf 60.9%

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

      1. mul-1-neg 60.9%

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

   6. Simplified 60.9%

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

   7. Taylor expanded in t around inf 60.9%

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

      1. mul-1-neg 60.9%

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

      2. unsub-neg 60.9%

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

      3. associate-/l* 61.3%

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

   9. Simplified 61.3%

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

   if 7.4999999999999996e-205 < a < 3.6000000000000002e-42

   1. Initial program 19.6%

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

   3. Taylor expanded in j around inf 33.8%

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

   4. Taylor expanded in i around -inf 46.2%

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

      1. mul-1-neg 46.2%

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

   6. Simplified 46.2%

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

   if 3.6000000000000002e-42 < a < 3e7

   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 b around inf 52.8%

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

   4. Taylor expanded in y0 around inf 61.2%

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

   if 3e7 < a < 9.49999999999999951e126

   1. Initial program 28.7%

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

   3. Taylor expanded in y3 around -inf 34.1%

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

   4. Taylor expanded in y1 around inf 48.8%

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

   if 1.69999999999999993e280 < a

   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 c around inf 0.0%

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

      1. mul-1-neg 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in y1 around inf 57.1%

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

   7. Taylor expanded in x around inf 100.0%

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

      1. mul-1-neg 100.0%

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

      2. *-commutative 100.0%

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

      3. distribute-rgt-neg-in 100.0%

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

      4. *-commutative 100.0%

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

   9. Simplified 100.0%

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

4. Final simplification 55.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -3.5 \cdot 10^{+191}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{+147}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -3.15 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-182}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-303}:\\ \;\;\;\;i \cdot \left(z \cdot \left(y1 \cdot \left(\frac{t \cdot c}{y1} - k\right)\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-269}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-205}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{-42}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 30000000:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{+126}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{+280}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 31.3% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ t_2 := c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{if}\;j \leq -2.05 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{+78}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -3.6 \cdot 10^{+24}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;j \leq -4 \cdot 10^{-219}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -2.15 \cdot 10^{-276}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq -2.8 \cdot 10^{-280}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 2.05 \cdot 10^{-75}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-8}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+49}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{+135}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{+206}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* k (- (* z y0) (* y y4)))))
        (t_2 (* c (* i (- (* z t) (* x y))))))
   (if (<= j -2.05e+193)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= j -5e+78)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= j -3.6e+24)
         t_2
         (if (<= j -4e-219)
           t_1
           (if (<= j -2.15e-276)
             (* a (* b (- (* x y) (* z t))))
             (if (<= j -2.8e-280)
               (* c (* y3 (- (* y y4) (* z y0))))
               (if (<= j 2.05e-75)
                 t_2
                 (if (<= j 4e-8)
                   (* y1 (* a (* z y3)))
                   (if (<= j 1.35e+49)
                     (* b (* y0 (- (* z k) (* x j))))
                     (if (<= j 3.8e+135)
                       t_1
                       (if (<= j 2.5e+206)
                         (* j (* y1 (- (* x i) (* y3 y4))))
                         (* j (* y0 (- (* y3 y5) (* 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 t_1 = b * (k * ((z * y0) - (y * y4)));
	double t_2 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (j <= -2.05e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -5e+78) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -3.6e+24) {
		tmp = t_2;
	} else if (j <= -4e-219) {
		tmp = t_1;
	} else if (j <= -2.15e-276) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (j <= -2.8e-280) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (j <= 2.05e-75) {
		tmp = t_2;
	} else if (j <= 4e-8) {
		tmp = y1 * (a * (z * y3));
	} else if (j <= 1.35e+49) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (j <= 3.8e+135) {
		tmp = t_1;
	} else if (j <= 2.5e+206) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (k * ((z * y0) - (y * y4)))
    t_2 = c * (i * ((z * t) - (x * y)))
    if (j <= (-2.05d+193)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (j <= (-5d+78)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (j <= (-3.6d+24)) then
        tmp = t_2
    else if (j <= (-4d-219)) then
        tmp = t_1
    else if (j <= (-2.15d-276)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (j <= (-2.8d-280)) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    else if (j <= 2.05d-75) then
        tmp = t_2
    else if (j <= 4d-8) then
        tmp = y1 * (a * (z * y3))
    else if (j <= 1.35d+49) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (j <= 3.8d+135) then
        tmp = t_1
    else if (j <= 2.5d+206) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else
        tmp = j * (y0 * ((y3 * y5) - (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 t_1 = b * (k * ((z * y0) - (y * y4)));
	double t_2 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (j <= -2.05e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -5e+78) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -3.6e+24) {
		tmp = t_2;
	} else if (j <= -4e-219) {
		tmp = t_1;
	} else if (j <= -2.15e-276) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (j <= -2.8e-280) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} else if (j <= 2.05e-75) {
		tmp = t_2;
	} else if (j <= 4e-8) {
		tmp = y1 * (a * (z * y3));
	} else if (j <= 1.35e+49) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (j <= 3.8e+135) {
		tmp = t_1;
	} else if (j <= 2.5e+206) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (k * ((z * y0) - (y * y4)))
	t_2 = c * (i * ((z * t) - (x * y)))
	tmp = 0
	if j <= -2.05e+193:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif j <= -5e+78:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif j <= -3.6e+24:
		tmp = t_2
	elif j <= -4e-219:
		tmp = t_1
	elif j <= -2.15e-276:
		tmp = a * (b * ((x * y) - (z * t)))
	elif j <= -2.8e-280:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	elif j <= 2.05e-75:
		tmp = t_2
	elif j <= 4e-8:
		tmp = y1 * (a * (z * y3))
	elif j <= 1.35e+49:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif j <= 3.8e+135:
		tmp = t_1
	elif j <= 2.5e+206:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	else:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))))
	t_2 = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))))
	tmp = 0.0
	if (j <= -2.05e+193)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (j <= -5e+78)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (j <= -3.6e+24)
		tmp = t_2;
	elseif (j <= -4e-219)
		tmp = t_1;
	elseif (j <= -2.15e-276)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= -2.8e-280)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (j <= 2.05e-75)
		tmp = t_2;
	elseif (j <= 4e-8)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (j <= 1.35e+49)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (j <= 3.8e+135)
		tmp = t_1;
	elseif (j <= 2.5e+206)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	else
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - 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)
	t_1 = b * (k * ((z * y0) - (y * y4)));
	t_2 = c * (i * ((z * t) - (x * y)));
	tmp = 0.0;
	if (j <= -2.05e+193)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (j <= -5e+78)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (j <= -3.6e+24)
		tmp = t_2;
	elseif (j <= -4e-219)
		tmp = t_1;
	elseif (j <= -2.15e-276)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (j <= -2.8e-280)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	elseif (j <= 2.05e-75)
		tmp = t_2;
	elseif (j <= 4e-8)
		tmp = y1 * (a * (z * y3));
	elseif (j <= 1.35e+49)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (j <= 3.8e+135)
		tmp = t_1;
	elseif (j <= 2.5e+206)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	else
		tmp = j * (y0 * ((y3 * y5) - (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_] := Block[{t$95$1 = N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -2.05e+193], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -5e+78], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -3.6e+24], t$95$2, If[LessEqual[j, -4e-219], t$95$1, If[LessEqual[j, -2.15e-276], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.8e-280], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 2.05e-75], t$95$2, If[LessEqual[j, 4e-8], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.35e+49], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.8e+135], t$95$1, If[LessEqual[j, 2.5e+206], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -2.0499999999999999e193

   1. Initial program 12.9%

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

   3. Taylor expanded in j around inf 58.3%

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

   4. Taylor expanded in i around -inf 64.8%

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

      1. mul-1-neg 64.8%

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

   6. Simplified 64.8%

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

   if -2.0499999999999999e193 < j < -4.99999999999999984e78

   1. Initial program 23.3%

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

   3. Taylor expanded in b around inf 46.3%

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

   4. Taylor expanded in y4 around inf 58.5%

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

   if -4.99999999999999984e78 < j < -3.59999999999999983e24 or -2.80000000000000017e-280 < j < 2.05000000000000001e-75

   1. Initial program 28.9%

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

   3. Taylor expanded in i around -inf 39.1%

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

   4. Taylor expanded in c around inf 47.2%

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

   if -3.59999999999999983e24 < j < -4.0000000000000001e-219 or 1.35000000000000005e49 < j < 3.8000000000000001e135

   1. Initial program 29.4%

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

   3. Taylor expanded in b around inf 37.0%

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

   4. Taylor expanded in k around -inf 37.6%

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

      1. mul-1-neg 37.6%

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

   6. Simplified 37.6%

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

   if -4.0000000000000001e-219 < j < -2.1499999999999998e-276

   1. Initial program 85.5%

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

   3. Taylor expanded in b around inf 43.1%

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

   4. Taylor expanded in a around inf 71.0%

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

   if -2.1499999999999998e-276 < j < -2.80000000000000017e-280

   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 y3 around -inf 50.0%

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

   4. Taylor expanded in c around inf 100.0%

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

   if 2.05000000000000001e-75 < j < 4.0000000000000001e-8

   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 c around inf 29.7%

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

      1. mul-1-neg 29.7%

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

   5. Simplified 29.7%

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

   6. Taylor expanded in y1 around inf 59.9%

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

   7. Taylor expanded in z around inf 53.7%

      \[\leadsto y1 \cdot \color{blue}{\left(a \cdot \left(y3 \cdot z\right)\right)} \]

   if 4.0000000000000001e-8 < j < 1.35000000000000005e49

   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 b around inf 28.2%

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

   4. Taylor expanded in y0 around inf 55.8%

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

   if 3.8000000000000001e135 < j < 2.5000000000000001e206

   1. Initial program 9.1%

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

   3. Taylor expanded in j around inf 45.5%

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

   4. Taylor expanded in y1 around -inf 72.8%

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

      1. mul-1-neg 72.8%

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

   6. Simplified 72.8%

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

   if 2.5000000000000001e206 < j

   1. Initial program 12.2%

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

   3. Taylor expanded in j around inf 64.0%

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

   4. Taylor expanded in y0 around inf 68.6%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 53.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -2.05 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{+78}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -3.6 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -4 \cdot 10^{-219}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -2.15 \cdot 10^{-276}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq -2.8 \cdot 10^{-280}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 2.05 \cdot 10^{-75}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-8}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+49}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{+206}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 30.0% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ \mathbf{if}\;j \leq -6.2 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -6.5 \cdot 10^{+78}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -2.35 \cdot 10^{-36}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -7.1 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_1\right)\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-146}:\\ \;\;\;\;y3 \cdot \left(z \cdot t\_1\right)\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 9.2 \cdot 10^{+16}:\\ \;\;\;\;\left(z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{+67}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{+210}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0))))
   (if (<= j -6.2e+193)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= j -6.5e+78)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= j -1.2e+24)
         (* c (* i (- (* z t) (* x y))))
         (if (<= j -2.35e-36)
           (* b (* k (- (* z y0) (* y y4))))
           (if (<= j -7.1e-161)
             (* z (* y3 t_1))
             (if (<= j 7.5e-196)
               (* b (* z (- (* k y0) (* t a))))
               (if (<= j 4.6e-146)
                 (* y3 (* z t_1))
                 (if (<= j 3.2e-75)
                   (* b (* a (- (* x y) (* z t))))
                   (if (<= j 9.2e+16)
                     (* (* z k) (- (* b y0) (* i y1)))
                     (if (<= j 3.2e+67)
                       (* a (* (* x y) b))
                       (if (<= j 1.05e+210)
                         (* i (* z (- (* t c) (* k y1))))
                         (* j (* y0 (- (* y3 y5) (* 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 t_1 = (a * y1) - (c * y0);
	double tmp;
	if (j <= -6.2e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -6.5e+78) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -1.2e+24) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (j <= -2.35e-36) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (j <= -7.1e-161) {
		tmp = z * (y3 * t_1);
	} else if (j <= 7.5e-196) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (j <= 4.6e-146) {
		tmp = y3 * (z * t_1);
	} else if (j <= 3.2e-75) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 9.2e+16) {
		tmp = (z * k) * ((b * y0) - (i * y1));
	} else if (j <= 3.2e+67) {
		tmp = a * ((x * y) * b);
	} else if (j <= 1.05e+210) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (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) :: t_1
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    if (j <= (-6.2d+193)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (j <= (-6.5d+78)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (j <= (-1.2d+24)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (j <= (-2.35d-36)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (j <= (-7.1d-161)) then
        tmp = z * (y3 * t_1)
    else if (j <= 7.5d-196) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (j <= 4.6d-146) then
        tmp = y3 * (z * t_1)
    else if (j <= 3.2d-75) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (j <= 9.2d+16) then
        tmp = (z * k) * ((b * y0) - (i * y1))
    else if (j <= 3.2d+67) then
        tmp = a * ((x * y) * b)
    else if (j <= 1.05d+210) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else
        tmp = j * (y0 * ((y3 * y5) - (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 t_1 = (a * y1) - (c * y0);
	double tmp;
	if (j <= -6.2e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -6.5e+78) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -1.2e+24) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (j <= -2.35e-36) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (j <= -7.1e-161) {
		tmp = z * (y3 * t_1);
	} else if (j <= 7.5e-196) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (j <= 4.6e-146) {
		tmp = y3 * (z * t_1);
	} else if (j <= 3.2e-75) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 9.2e+16) {
		tmp = (z * k) * ((b * y0) - (i * y1));
	} else if (j <= 3.2e+67) {
		tmp = a * ((x * y) * b);
	} else if (j <= 1.05e+210) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	tmp = 0
	if j <= -6.2e+193:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif j <= -6.5e+78:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif j <= -1.2e+24:
		tmp = c * (i * ((z * t) - (x * y)))
	elif j <= -2.35e-36:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif j <= -7.1e-161:
		tmp = z * (y3 * t_1)
	elif j <= 7.5e-196:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif j <= 4.6e-146:
		tmp = y3 * (z * t_1)
	elif j <= 3.2e-75:
		tmp = b * (a * ((x * y) - (z * t)))
	elif j <= 9.2e+16:
		tmp = (z * k) * ((b * y0) - (i * y1))
	elif j <= 3.2e+67:
		tmp = a * ((x * y) * b)
	elif j <= 1.05e+210:
		tmp = i * (z * ((t * c) - (k * y1)))
	else:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	tmp = 0.0
	if (j <= -6.2e+193)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (j <= -6.5e+78)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (j <= -1.2e+24)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (j <= -2.35e-36)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (j <= -7.1e-161)
		tmp = Float64(z * Float64(y3 * t_1));
	elseif (j <= 7.5e-196)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (j <= 4.6e-146)
		tmp = Float64(y3 * Float64(z * t_1));
	elseif (j <= 3.2e-75)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= 9.2e+16)
		tmp = Float64(Float64(z * k) * Float64(Float64(b * y0) - Float64(i * y1)));
	elseif (j <= 3.2e+67)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (j <= 1.05e+210)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	else
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - 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)
	t_1 = (a * y1) - (c * y0);
	tmp = 0.0;
	if (j <= -6.2e+193)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (j <= -6.5e+78)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (j <= -1.2e+24)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (j <= -2.35e-36)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (j <= -7.1e-161)
		tmp = z * (y3 * t_1);
	elseif (j <= 7.5e-196)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (j <= 4.6e-146)
		tmp = y3 * (z * t_1);
	elseif (j <= 3.2e-75)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (j <= 9.2e+16)
		tmp = (z * k) * ((b * y0) - (i * y1));
	elseif (j <= 3.2e+67)
		tmp = a * ((x * y) * b);
	elseif (j <= 1.05e+210)
		tmp = i * (z * ((t * c) - (k * y1)));
	else
		tmp = j * (y0 * ((y3 * y5) - (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_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -6.2e+193], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -6.5e+78], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.2e+24], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.35e-36], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7.1e-161], N[(z * N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 7.5e-196], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.6e-146], N[(y3 * N[(z * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.2e-75], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 9.2e+16], N[(N[(z * k), $MachinePrecision] * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.2e+67], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.05e+210], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if j < -6.19999999999999972e193

   1. Initial program 12.9%

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

   3. Taylor expanded in j around inf 58.3%

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

   4. Taylor expanded in i around -inf 64.8%

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

      1. mul-1-neg 64.8%

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

   6. Simplified 64.8%

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

   if -6.19999999999999972e193 < j < -6.50000000000000036e78

   1. Initial program 23.3%

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

   3. Taylor expanded in b around inf 46.3%

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

   4. Taylor expanded in y4 around inf 58.5%

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

   if -6.50000000000000036e78 < j < -1.2e24

   1. Initial program 13.2%

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

   3. Taylor expanded in i around -inf 37.5%

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

   4. Taylor expanded in c around inf 75.1%

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

   if -1.2e24 < j < -2.3500000000000001e-36

   1. Initial program 40.5%

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

   3. Taylor expanded in b around inf 60.1%

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

   4. Taylor expanded in k around -inf 53.7%

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

      1. mul-1-neg 53.7%

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

   6. Simplified 53.7%

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

   if -2.3500000000000001e-36 < j < -7.1e-161

   1. Initial program 40.1%

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

   3. Taylor expanded in z around -inf 31.4%

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

   4. Taylor expanded in y3 around inf 49.1%

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

   if -7.1e-161 < j < 7.5e-196

   1. Initial program 39.4%

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

   3. Taylor expanded in b around inf 44.4%

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

   4. Taylor expanded in z around -inf 40.1%

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

      1. mul-1-neg 40.1%

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

   6. Simplified 40.1%

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

   if 7.5e-196 < j < 4.6000000000000001e-146

   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 y3 around -inf 44.5%

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

   4. Taylor expanded in z around inf 78.2%

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

   if 4.6000000000000001e-146 < j < 3.19999999999999977e-75

   1. Initial program 23.6%

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

   3. Taylor expanded in b around inf 35.5%

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

   4. Taylor expanded in a around inf 46.3%

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

   if 3.19999999999999977e-75 < j < 9.2e16

   1. Initial program 26.3%

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

   3. Taylor expanded in z around -inf 52.6%

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

   4. Taylor expanded in k around inf 61.5%

      \[\leadsto -1 \cdot \color{blue}{\left(k \cdot \left(z \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 53.0%

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

      2. *-commutative 53.0%

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

      3. *-commutative 53.0%

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

   6. Simplified 53.0%

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

   if 9.2e16 < j < 3.19999999999999983e67

   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 23.0%

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

   4. Taylor expanded in a around inf 46.3%

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

   5. Taylor expanded in x around inf 57.4%

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

   if 3.19999999999999983e67 < j < 1.0499999999999999e210

   1. Initial program 8.0%

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

   3. Taylor expanded in i around -inf 32.5%

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

   4. Taylor expanded in z around -inf 52.7%

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

      1. mul-1-neg 52.7%

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

   6. Simplified 52.7%

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

   if 1.0499999999999999e210 < j

   1. Initial program 8.9%

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

   3. Taylor expanded in j around inf 65.2%

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

   4. Taylor expanded in y0 around inf 70.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 55.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -6.2 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -6.5 \cdot 10^{+78}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -2.35 \cdot 10^{-36}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -7.1 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-146}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{-75}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 9.2 \cdot 10^{+16}:\\ \;\;\;\;\left(z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{+67}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{+210}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 31.3% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{if}\;y2 \leq -1.18 \cdot 10^{+191}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -5.3 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{-28}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -7.6 \cdot 10^{-162}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq -2 \cdot 10^{-210}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 8 \cdot 10^{-140}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y2 \leq 4.9 \cdot 10^{+100}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 1.12 \cdot 10^{+141}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{+177}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.86 \cdot 10^{+201}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y1 (* y2 (- (* k y4) (* x a))))))
   (if (<= y2 -1.18e+191)
     t_1
     (if (<= y2 -1.65e+39)
       (* b (* y0 (- (* z k) (* x j))))
       (if (<= y2 -5.3e-8)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y2 -1.95e-28)
           (* z (* c (- (* t i) (* y0 y3))))
           (if (<= y2 -7.6e-162)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y2 -2e-210)
               (* y3 (* y0 (- (* j y5) (* z c))))
               (if (<= y2 8e-140)
                 (* c (* i (- (* z t) (* x y))))
                 (if (<= y2 4.9e+100)
                   (* i (* z (- (* t c) (* k y1))))
                   (if (<= y2 1.12e+141)
                     (* y3 (* y (- (* c y4) (* a y5))))
                     (if (<= y2 6.5e+177)
                       (* b (* x (- (* y a) (* j y0))))
                       (if (<= y2 1.86e+201)
                         (* c (* y3 (- (* y y4) (* z y0))))
                         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 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -1.18e+191) {
		tmp = t_1;
	} else if (y2 <= -1.65e+39) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -5.3e-8) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y2 <= -1.95e-28) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -7.6e-162) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= -2e-210) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (y2 <= 8e-140) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (y2 <= 4.9e+100) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y2 <= 1.12e+141) {
		tmp = y3 * (y * ((c * y4) - (a * y5)));
	} else if (y2 <= 6.5e+177) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 1.86e+201) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} 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 = y1 * (y2 * ((k * y4) - (x * a)))
    if (y2 <= (-1.18d+191)) then
        tmp = t_1
    else if (y2 <= (-1.65d+39)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y2 <= (-5.3d-8)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y2 <= (-1.95d-28)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= (-7.6d-162)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y2 <= (-2d-210)) then
        tmp = y3 * (y0 * ((j * y5) - (z * c)))
    else if (y2 <= 8d-140) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (y2 <= 4.9d+100) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (y2 <= 1.12d+141) then
        tmp = y3 * (y * ((c * y4) - (a * y5)))
    else if (y2 <= 6.5d+177) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y2 <= 1.86d+201) then
        tmp = c * (y3 * ((y * y4) - (z * y0)))
    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 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -1.18e+191) {
		tmp = t_1;
	} else if (y2 <= -1.65e+39) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -5.3e-8) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y2 <= -1.95e-28) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -7.6e-162) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= -2e-210) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (y2 <= 8e-140) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (y2 <= 4.9e+100) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (y2 <= 1.12e+141) {
		tmp = y3 * (y * ((c * y4) - (a * y5)));
	} else if (y2 <= 6.5e+177) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 1.86e+201) {
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	} 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 = y1 * (y2 * ((k * y4) - (x * a)))
	tmp = 0
	if y2 <= -1.18e+191:
		tmp = t_1
	elif y2 <= -1.65e+39:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y2 <= -5.3e-8:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y2 <= -1.95e-28:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= -7.6e-162:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y2 <= -2e-210:
		tmp = y3 * (y0 * ((j * y5) - (z * c)))
	elif y2 <= 8e-140:
		tmp = c * (i * ((z * t) - (x * y)))
	elif y2 <= 4.9e+100:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif y2 <= 1.12e+141:
		tmp = y3 * (y * ((c * y4) - (a * y5)))
	elif y2 <= 6.5e+177:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y2 <= 1.86e+201:
		tmp = c * (y3 * ((y * y4) - (z * y0)))
	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(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))))
	tmp = 0.0
	if (y2 <= -1.18e+191)
		tmp = t_1;
	elseif (y2 <= -1.65e+39)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y2 <= -5.3e-8)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y2 <= -1.95e-28)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= -7.6e-162)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= -2e-210)
		tmp = Float64(y3 * Float64(y0 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (y2 <= 8e-140)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (y2 <= 4.9e+100)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (y2 <= 1.12e+141)
		tmp = Float64(y3 * Float64(y * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y2 <= 6.5e+177)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y2 <= 1.86e+201)
		tmp = Float64(c * Float64(y3 * Float64(Float64(y * y4) - Float64(z * y0))));
	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 = y1 * (y2 * ((k * y4) - (x * a)));
	tmp = 0.0;
	if (y2 <= -1.18e+191)
		tmp = t_1;
	elseif (y2 <= -1.65e+39)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y2 <= -5.3e-8)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y2 <= -1.95e-28)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= -7.6e-162)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y2 <= -2e-210)
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	elseif (y2 <= 8e-140)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (y2 <= 4.9e+100)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (y2 <= 1.12e+141)
		tmp = y3 * (y * ((c * y4) - (a * y5)));
	elseif (y2 <= 6.5e+177)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y2 <= 1.86e+201)
		tmp = c * (y3 * ((y * y4) - (z * y0)));
	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[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.18e+191], t$95$1, If[LessEqual[y2, -1.65e+39], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.3e-8], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.95e-28], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.6e-162], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2e-210], N[(y3 * N[(y0 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 8e-140], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.9e+100], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.12e+141], N[(y3 * N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.5e+177], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.86e+201], N[(c * N[(y3 * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y2 < -1.17999999999999994e191 or 1.8600000000000001e201 < y2

   1. Initial program 14.3%

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

   3. Taylor expanded in c around inf 26.5%

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

      1. mul-1-neg 26.5%

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

   5. Simplified 26.5%

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

   6. Taylor expanded in y1 around inf 45.1%

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

   7. Taylor expanded in y2 around inf 51.9%

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

      1. +-commutative 51.9%

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

      2. mul-1-neg 51.9%

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

      3. unsub-neg 51.9%

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

      4. *-commutative 51.9%

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

   9. Simplified 51.9%

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

   if -1.17999999999999994e191 < y2 < -1.6500000000000001e39

   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 b around inf 33.7%

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

   4. Taylor expanded in y0 around inf 55.1%

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

   if -1.6500000000000001e39 < y2 < -5.2999999999999998e-8

   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 b around inf 80.4%

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

   4. Taylor expanded in y4 around inf 67.2%

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

   if -5.2999999999999998e-8 < y2 < -1.94999999999999999e-28

   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 z around -inf 40.0%

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

   4. Taylor expanded in c around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

      4. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   if -1.94999999999999999e-28 < y2 < -7.6000000000000001e-162

   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 b around inf 44.5%

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

   4. Taylor expanded in a around inf 52.6%

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

   if -7.6000000000000001e-162 < y2 < -2.0000000000000001e-210

   1. Initial program 10.3%

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

   3. Taylor expanded in y3 around -inf 18.7%

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

   4. Taylor expanded in y0 around inf 55.8%

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

   if -2.0000000000000001e-210 < y2 < 7.9999999999999999e-140

   1. Initial program 36.3%

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

   3. Taylor expanded in i around -inf 44.1%

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

   4. Taylor expanded in c around inf 44.6%

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

   if 7.9999999999999999e-140 < y2 < 4.89999999999999967e100

   1. Initial program 26.2%

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

   3. Taylor expanded in i around -inf 55.4%

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

   4. Taylor expanded in z around -inf 51.3%

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

      1. mul-1-neg 51.3%

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

   6. Simplified 51.3%

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

   if 4.89999999999999967e100 < y2 < 1.11999999999999993e141

   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 y3 around -inf 41.4%

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

   4. Taylor expanded in y around inf 52.5%

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

   if 1.11999999999999993e141 < y2 < 6.5000000000000002e177

   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 b around inf 40.5%

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

   4. Taylor expanded in x around inf 70.5%

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

   if 6.5000000000000002e177 < y2 < 1.8600000000000001e201

   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 y3 around -inf 37.7%

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

   4. Taylor expanded in c around inf 75.4%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y3 \cdot \left(y0 \cdot z - y \cdot y4\right)\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 54.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.18 \cdot 10^{+191}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -5.3 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{-28}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -7.6 \cdot 10^{-162}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq -2 \cdot 10^{-210}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 8 \cdot 10^{-140}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y2 \leq 4.9 \cdot 10^{+100}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 1.12 \cdot 10^{+141}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{+177}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.86 \cdot 10^{+201}:\\ \;\;\;\;c \cdot \left(y3 \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 29.6% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;a \leq -3.2 \cdot 10^{+187}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -5.6 \cdot 10^{+153}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.3 \cdot 10^{-67}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-184}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-264}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 5.7 \cdot 10^{-167}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-38}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 920000:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 8.4 \cdot 10^{+127}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 8.2 \cdot 10^{+279}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= a -3.2e+187)
     (* z (* y3 (- (* a y1) (* c y0))))
     (if (<= a -5.6e+153)
       t_1
       (if (<= a -5.8e+38)
         (* i (* x (- (* j y1) (* y c))))
         (if (<= a -1.3e-67)
           t_1
           (if (<= a -1.65e-184)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= a 2.7e-264)
               (* i (* y1 (- (* x j) (* z k))))
               (if (<= a 5.7e-167)
                 (* c (* i (- (* z t) (* x y))))
                 (if (<= a 3.8e-38)
                   (* b (* y4 (- (* t j) (* y k))))
                   (if (<= a 920000.0)
                     (* b (* y0 (- (* z k) (* x j))))
                     (if (<= a 8.4e+127)
                       (* y3 (* y1 (- (* z a) (* j y4))))
                       (if (<= a 8.2e+279)
                         t_1
                         (* y1 (* (* x y2) (- a))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (a <= -3.2e+187) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (a <= -5.6e+153) {
		tmp = t_1;
	} else if (a <= -5.8e+38) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.3e-67) {
		tmp = t_1;
	} else if (a <= -1.65e-184) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (a <= 2.7e-264) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (a <= 5.7e-167) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 3.8e-38) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (a <= 920000.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 8.4e+127) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (a <= 8.2e+279) {
		tmp = t_1;
	} else {
		tmp = y1 * ((x * y2) * -a);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (x * ((y * a) - (j * y0)))
    if (a <= (-3.2d+187)) then
        tmp = z * (y3 * ((a * y1) - (c * y0)))
    else if (a <= (-5.6d+153)) then
        tmp = t_1
    else if (a <= (-5.8d+38)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-1.3d-67)) then
        tmp = t_1
    else if (a <= (-1.65d-184)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (a <= 2.7d-264) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (a <= 5.7d-167) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (a <= 3.8d-38) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (a <= 920000.0d0) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (a <= 8.4d+127) then
        tmp = y3 * (y1 * ((z * a) - (j * y4)))
    else if (a <= 8.2d+279) then
        tmp = t_1
    else
        tmp = y1 * ((x * y2) * -a)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (a <= -3.2e+187) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (a <= -5.6e+153) {
		tmp = t_1;
	} else if (a <= -5.8e+38) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.3e-67) {
		tmp = t_1;
	} else if (a <= -1.65e-184) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (a <= 2.7e-264) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (a <= 5.7e-167) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (a <= 3.8e-38) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (a <= 920000.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 8.4e+127) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (a <= 8.2e+279) {
		tmp = t_1;
	} else {
		tmp = y1 * ((x * y2) * -a);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (x * ((y * a) - (j * y0)))
	tmp = 0
	if a <= -3.2e+187:
		tmp = z * (y3 * ((a * y1) - (c * y0)))
	elif a <= -5.6e+153:
		tmp = t_1
	elif a <= -5.8e+38:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -1.3e-67:
		tmp = t_1
	elif a <= -1.65e-184:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif a <= 2.7e-264:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif a <= 5.7e-167:
		tmp = c * (i * ((z * t) - (x * y)))
	elif a <= 3.8e-38:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif a <= 920000.0:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif a <= 8.4e+127:
		tmp = y3 * (y1 * ((z * a) - (j * y4)))
	elif a <= 8.2e+279:
		tmp = t_1
	else:
		tmp = y1 * ((x * y2) * -a)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (a <= -3.2e+187)
		tmp = Float64(z * Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (a <= -5.6e+153)
		tmp = t_1;
	elseif (a <= -5.8e+38)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -1.3e-67)
		tmp = t_1;
	elseif (a <= -1.65e-184)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (a <= 2.7e-264)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (a <= 5.7e-167)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (a <= 3.8e-38)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (a <= 920000.0)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (a <= 8.4e+127)
		tmp = Float64(y3 * Float64(y1 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (a <= 8.2e+279)
		tmp = t_1;
	else
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (a <= -3.2e+187)
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	elseif (a <= -5.6e+153)
		tmp = t_1;
	elseif (a <= -5.8e+38)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -1.3e-67)
		tmp = t_1;
	elseif (a <= -1.65e-184)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (a <= 2.7e-264)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (a <= 5.7e-167)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (a <= 3.8e-38)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (a <= 920000.0)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (a <= 8.4e+127)
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	elseif (a <= 8.2e+279)
		tmp = t_1;
	else
		tmp = y1 * ((x * y2) * -a);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -3.2e+187], N[(z * N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.6e+153], t$95$1, If[LessEqual[a, -5.8e+38], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.3e-67], t$95$1, If[LessEqual[a, -1.65e-184], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.7e-264], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.7e-167], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.8e-38], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 920000.0], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8.4e+127], N[(y3 * N[(y1 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8.2e+279], t$95$1, N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -3.19999999999999993e187

   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 z around -inf 43.9%

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

   4. Taylor expanded in y3 around inf 61.3%

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

   if -3.19999999999999993e187 < a < -5.5999999999999997e153 or -5.80000000000000013e38 < a < -1.2999999999999999e-67 or 8.39999999999999967e127 < a < 8.1999999999999995e279

   1. Initial program 28.5%

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

   3. Taylor expanded in b around inf 39.0%

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

   4. Taylor expanded in x around inf 47.5%

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

   if -5.5999999999999997e153 < a < -5.80000000000000013e38

   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 61.7%

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

   4. Taylor expanded in x around inf 54.5%

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

   if -1.2999999999999999e-67 < a < -1.6499999999999999e-184

   1. Initial program 27.5%

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

   3. Taylor expanded in z around -inf 53.8%

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

   4. Taylor expanded in c around inf 80.7%

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

      1. +-commutative 80.7%

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

      2. mul-1-neg 80.7%

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

      3. unsub-neg 80.7%

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

      4. *-commutative 80.7%

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

   6. Simplified 80.7%

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

   if -1.6499999999999999e-184 < a < 2.69999999999999994e-264

   1. Initial program 28.1%

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

   3. Taylor expanded in i around -inf 43.1%

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

   4. Taylor expanded in y1 around inf 46.3%

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

   if 2.69999999999999994e-264 < a < 5.69999999999999988e-167

   1. Initial program 26.4%

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

   3. Taylor expanded in i around -inf 58.2%

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

   4. Taylor expanded in c around inf 55.6%

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

   if 5.69999999999999988e-167 < a < 3.8e-38

   1. Initial program 19.7%

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

   3. Taylor expanded in b around inf 42.8%

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

   4. Taylor expanded in y4 around inf 43.1%

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

   if 3.8e-38 < a < 9.2e5

   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 b around inf 52.9%

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

   4. Taylor expanded in y0 around inf 75.7%

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

   if 9.2e5 < a < 8.39999999999999967e127

   1. Initial program 28.7%

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

   3. Taylor expanded in y3 around -inf 34.1%

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

   4. Taylor expanded in y1 around inf 48.8%

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

   if 8.1999999999999995e279 < a

   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 c around inf 0.0%

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

      1. mul-1-neg 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in y1 around inf 57.1%

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

   7. Taylor expanded in x around inf 100.0%

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

      1. mul-1-neg 100.0%

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

      2. *-commutative 100.0%

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

      3. distribute-rgt-neg-in 100.0%

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

      4. *-commutative 100.0%

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

   9. Simplified 100.0%

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

4. Final simplification 53.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -3.2 \cdot 10^{+187}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -5.6 \cdot 10^{+153}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.3 \cdot 10^{-67}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-184}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-264}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 5.7 \cdot 10^{-167}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-38}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 920000:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 8.4 \cdot 10^{+127}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 8.2 \cdot 10^{+279}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 34.1% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -1.35 \cdot 10^{+196}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.42 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-58}:\\ \;\;\;\;i \cdot \left(t \cdot \left(z \cdot c - j \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 7.4 \cdot 10^{-247}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 1.82 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= z -1.35e+196)
   (* i (* z (- (* t c) (* k y1))))
   (if (<= z -1.2e+61)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= z -1.42e-8)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= z -8e-58)
         (* i (* t (- (* z c) (* j y5))))
         (if (<= z -1.35e-116)
           (* j (* y1 (- (* x i) (* y3 y4))))
           (if (<= z 7.4e-247)
             (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))
             (if (<= z 2.6e-43)
               (* j (* y0 (- (* y3 y5) (* x b))))
               (if (<= z 1.82e+37)
                 (*
                  a
                  (+
                   (* y5 (- (* t y2) (* y y3)))
                   (* y1 (- (* z y3) (* x y2)))))
                 (if (<= z 1.45e+137)
                   (*
                    b
                    (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
                   (*
                    z
                    (+ (* c (* t i)) (* y3 (- (* a y1) (* c y0)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (z <= -1.35e+196) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (z <= -1.2e+61) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (z <= -1.42e-8) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -8e-58) {
		tmp = i * (t * ((z * c) - (j * y5)));
	} else if (z <= -1.35e-116) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 7.4e-247) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 2.6e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 1.82e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 1.45e+137) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (z <= (-1.35d+196)) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (z <= (-1.2d+61)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (z <= (-1.42d-8)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-8d-58)) then
        tmp = i * (t * ((z * c) - (j * y5)))
    else if (z <= (-1.35d-116)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= 7.4d-247) then
        tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    else if (z <= 2.6d-43) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 1.82d+37) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (z <= 1.45d+137) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else
        tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (z <= -1.35e+196) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (z <= -1.2e+61) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (z <= -1.42e-8) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -8e-58) {
		tmp = i * (t * ((z * c) - (j * y5)));
	} else if (z <= -1.35e-116) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 7.4e-247) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 2.6e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 1.82e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 1.45e+137) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if z <= -1.35e+196:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif z <= -1.2e+61:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif z <= -1.42e-8:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -8e-58:
		tmp = i * (t * ((z * c) - (j * y5)))
	elif z <= -1.35e-116:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= 7.4e-247:
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	elif z <= 2.6e-43:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 1.82e+37:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif z <= 1.45e+137:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (z <= -1.35e+196)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (z <= -1.2e+61)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (z <= -1.42e-8)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -8e-58)
		tmp = Float64(i * Float64(t * Float64(Float64(z * c) - Float64(j * y5))));
	elseif (z <= -1.35e-116)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= 7.4e-247)
		tmp = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))));
	elseif (z <= 2.6e-43)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 1.82e+37)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (z <= 1.45e+137)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(z * Float64(Float64(c * Float64(t * i)) + Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (z <= -1.35e+196)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (z <= -1.2e+61)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (z <= -1.42e-8)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -8e-58)
		tmp = i * (t * ((z * c) - (j * y5)));
	elseif (z <= -1.35e-116)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= 7.4e-247)
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	elseif (z <= 2.6e-43)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 1.82e+37)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (z <= 1.45e+137)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	else
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[z, -1.35e+196], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.2e+61], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.42e-8], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -8e-58], N[(i * N[(t * N[(N[(z * c), $MachinePrecision] - N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.35e-116], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 7.4e-247], N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.6e-43], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.82e+37], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.45e+137], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(c * N[(t * i), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if z < -1.34999999999999998e196

   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 i around -inf 70.2%

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

   4. Taylor expanded in z around -inf 70.2%

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

      1. mul-1-neg 70.2%

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

   6. Simplified 70.2%

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

   if -1.34999999999999998e196 < z < -1.1999999999999999e61

   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 j around inf 30.9%

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

   4. Taylor expanded in i around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

   6. Simplified 58.2%

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

   if -1.1999999999999999e61 < z < -1.41999999999999998e-8

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -1.41999999999999998e-8 < z < -8.0000000000000002e-58

   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 i around -inf 46.0%

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

   4. Taylor expanded in t around inf 67.1%

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

   if -8.0000000000000002e-58 < z < -1.35e-116

   1. Initial program 7.1%

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

   3. Taylor expanded in j around inf 68.8%

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

   4. Taylor expanded in y1 around -inf 70.0%

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

      1. mul-1-neg 70.0%

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

   6. Simplified 70.0%

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

   if -1.35e-116 < z < 7.40000000000000021e-247

   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 c around inf 42.0%

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

      1. mul-1-neg 42.0%

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

   5. Simplified 42.0%

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

   6. Taylor expanded in x around inf 36.1%

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

   if 7.40000000000000021e-247 < z < 2.6e-43

   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 j around inf 26.7%

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

   4. Taylor expanded in y0 around inf 46.7%

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

   if 2.6e-43 < z < 1.81999999999999998e37

   1. Initial program 26.3%

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

   3. Taylor expanded in c around inf 30.4%

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

      1. mul-1-neg 30.4%

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

   5. Simplified 30.4%

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

   6. Taylor expanded in a around -inf 56.9%

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

      1. mul-1-neg 56.9%

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

   8. Simplified 56.9%

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

   if 1.81999999999999998e37 < z < 1.44999999999999992e137

   1. Initial program 27.8%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around 0 56.7%

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

   if 1.44999999999999992e137 < z

   1. Initial program 24.7%

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

   3. Taylor expanded in c around inf 20.1%

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

      1. mul-1-neg 20.1%

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

   5. Simplified 20.1%

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

   6. Taylor expanded in z around -inf 65.8%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 65.8%

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

   8. Simplified 65.8%

      \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 56.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.35 \cdot 10^{+196}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.42 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-58}:\\ \;\;\;\;i \cdot \left(t \cdot \left(z \cdot c - j \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 7.4 \cdot 10^{-247}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 1.82 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 34.3% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := y1 \cdot \left(x \cdot j - z \cdot k\right)\\ \mathbf{if}\;z \leq -1.55 \cdot 10^{+242}:\\ \;\;\;\;i \cdot \left(t\_2 + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -2 \cdot 10^{+168}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot t\_1\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{+61}:\\ \;\;\;\;i \cdot t\_2\\ \mathbf{elif}\;z \leq -3.3 \cdot 10^{-9}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-114}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-246}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 2.35 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.75 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot t\_1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0))) (t_2 (* y1 (- (* x j) (* z k)))))
   (if (<= z -1.55e+242)
     (* i (+ t_2 (* c (- (* z t) (* x y)))))
     (if (<= z -2e+168)
       (* y3 (+ (* y (- (* c y4) (* a y5))) (* z t_1)))
       (if (<= z -3e+61)
         (* i t_2)
         (if (<= z -3.3e-9)
           (* b (* x (- (* y a) (* j y0))))
           (if (<= z -1.55e-114)
             (* j (* y1 (- (* x i) (* y3 y4))))
             (if (<= z 1.05e-246)
               (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))
               (if (<= z 2.35e-43)
                 (* j (* y0 (- (* y3 y5) (* x b))))
                 (if (<= z 3.2e+37)
                   (*
                    a
                    (+
                     (* y5 (- (* t y2) (* y y3)))
                     (* y1 (- (* z y3) (* x y2)))))
                   (if (<= z 1.75e+137)
                     (*
                      b
                      (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
                     (* z (+ (* c (* t i)) (* y3 t_1))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = y1 * ((x * j) - (z * k));
	double tmp;
	if (z <= -1.55e+242) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -2e+168) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	} else if (z <= -3e+61) {
		tmp = i * t_2;
	} else if (z <= -3.3e-9) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -1.55e-114) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 1.05e-246) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 2.35e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 3.2e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 1.75e+137) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((c * (t * i)) + (y3 * t_1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    t_2 = y1 * ((x * j) - (z * k))
    if (z <= (-1.55d+242)) then
        tmp = i * (t_2 + (c * ((z * t) - (x * y))))
    else if (z <= (-2d+168)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1))
    else if (z <= (-3d+61)) then
        tmp = i * t_2
    else if (z <= (-3.3d-9)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-1.55d-114)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= 1.05d-246) then
        tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    else if (z <= 2.35d-43) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 3.2d+37) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (z <= 1.75d+137) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else
        tmp = z * ((c * (t * i)) + (y3 * t_1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = y1 * ((x * j) - (z * k));
	double tmp;
	if (z <= -1.55e+242) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -2e+168) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	} else if (z <= -3e+61) {
		tmp = i * t_2;
	} else if (z <= -3.3e-9) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -1.55e-114) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 1.05e-246) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 2.35e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 3.2e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 1.75e+137) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((c * (t * i)) + (y3 * t_1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = y1 * ((x * j) - (z * k))
	tmp = 0
	if z <= -1.55e+242:
		tmp = i * (t_2 + (c * ((z * t) - (x * y))))
	elif z <= -2e+168:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1))
	elif z <= -3e+61:
		tmp = i * t_2
	elif z <= -3.3e-9:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -1.55e-114:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= 1.05e-246:
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	elif z <= 2.35e-43:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 3.2e+37:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif z <= 1.75e+137:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = z * ((c * (t * i)) + (y3 * t_1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	t_2 = Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))
	tmp = 0.0
	if (z <= -1.55e+242)
		tmp = Float64(i * Float64(t_2 + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	elseif (z <= -2e+168)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(z * t_1)));
	elseif (z <= -3e+61)
		tmp = Float64(i * t_2);
	elseif (z <= -3.3e-9)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -1.55e-114)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= 1.05e-246)
		tmp = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))));
	elseif (z <= 2.35e-43)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 3.2e+37)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (z <= 1.75e+137)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(z * Float64(Float64(c * Float64(t * i)) + Float64(y3 * t_1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	t_2 = y1 * ((x * j) - (z * k));
	tmp = 0.0;
	if (z <= -1.55e+242)
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	elseif (z <= -2e+168)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	elseif (z <= -3e+61)
		tmp = i * t_2;
	elseif (z <= -3.3e-9)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -1.55e-114)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= 1.05e-246)
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	elseif (z <= 2.35e-43)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 3.2e+37)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (z <= 1.75e+137)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	else
		tmp = z * ((c * (t * i)) + (y3 * t_1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1.55e+242], N[(i * N[(t$95$2 + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2e+168], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3e+61], N[(i * t$95$2), $MachinePrecision], If[LessEqual[z, -3.3e-9], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.55e-114], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.05e-246], N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.35e-43], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.2e+37], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.75e+137], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(c * N[(t * i), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if z < -1.55000000000000005e242

   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 i around -inf 85.7%

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

   4. Taylor expanded in y5 around 0 85.7%

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

   if -1.55000000000000005e242 < z < -1.9999999999999999e168

   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 y3 around -inf 31.8%

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

   4. Taylor expanded in j around 0 63.0%

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

   if -1.9999999999999999e168 < z < -3e61

   1. Initial program 18.8%

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

   3. Taylor expanded in i around -inf 50.0%

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

   4. Taylor expanded in y1 around inf 63.2%

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

   if -3e61 < z < -3.30000000000000018e-9

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -3.30000000000000018e-9 < z < -1.55e-114

   1. Initial program 12.8%

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

   3. Taylor expanded in j around inf 64.2%

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

   4. Taylor expanded in y1 around -inf 61.1%

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

      1. mul-1-neg 61.1%

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

   6. Simplified 61.1%

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

   if -1.55e-114 < z < 1.04999999999999997e-246

   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 c around inf 42.0%

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

      1. mul-1-neg 42.0%

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

   5. Simplified 42.0%

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

   6. Taylor expanded in x around inf 36.1%

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

   if 1.04999999999999997e-246 < z < 2.35e-43

   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 j around inf 26.7%

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

   4. Taylor expanded in y0 around inf 46.7%

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

   if 2.35e-43 < z < 3.20000000000000014e37

   1. Initial program 26.3%

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

   3. Taylor expanded in c around inf 30.4%

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

      1. mul-1-neg 30.4%

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

   5. Simplified 30.4%

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

   6. Taylor expanded in a around -inf 56.9%

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

      1. mul-1-neg 56.9%

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

   8. Simplified 56.9%

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

   if 3.20000000000000014e37 < z < 1.7500000000000001e137

   1. Initial program 27.8%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around 0 56.7%

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

   if 1.7500000000000001e137 < z

   1. Initial program 24.7%

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

   3. Taylor expanded in c around inf 20.1%

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

      1. mul-1-neg 20.1%

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

   5. Simplified 20.1%

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

   6. Taylor expanded in z around -inf 65.8%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 65.8%

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

   8. Simplified 65.8%

      \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 56.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.55 \cdot 10^{+242}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -2 \cdot 10^{+168}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;z \leq -3.3 \cdot 10^{-9}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-114}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-246}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 2.35 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.75 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 35.0% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := y1 \cdot \left(x \cdot j - z \cdot k\right)\\ \mathbf{if}\;z \leq -1.1 \cdot 10^{+241}:\\ \;\;\;\;i \cdot \left(t\_2 + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -2 \cdot 10^{+169}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot t\_1\right)\\ \mathbf{elif}\;z \leq -1.45 \cdot 10^{+61}:\\ \;\;\;\;i \cdot t\_2\\ \mathbf{elif}\;z \leq -2.25 \cdot 10^{-7}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-114}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-245}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 8.4 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{+136}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_1 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0))) (t_2 (* y1 (- (* x j) (* z k)))))
   (if (<= z -1.1e+241)
     (* i (+ t_2 (* c (- (* z t) (* x y)))))
     (if (<= z -2e+169)
       (* y3 (+ (* y (- (* c y4) (* a y5))) (* z t_1)))
       (if (<= z -1.45e+61)
         (* i t_2)
         (if (<= z -2.25e-7)
           (* b (* x (- (* y a) (* j y0))))
           (if (<= z -1.55e-114)
             (* j (* y1 (- (* x i) (* y3 y4))))
             (if (<= z 5.6e-245)
               (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))
               (if (<= z 2.8e-43)
                 (* j (* y0 (- (* y3 y5) (* x b))))
                 (if (<= z 8.4e+37)
                   (*
                    a
                    (+
                     (* y5 (- (* t y2) (* y y3)))
                     (* y1 (- (* z y3) (* x y2)))))
                   (if (<= z 2.2e+136)
                     (*
                      b
                      (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
                     (* z (+ (* y3 t_1) (* t (- (* c i) (* a b))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = y1 * ((x * j) - (z * k));
	double tmp;
	if (z <= -1.1e+241) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -2e+169) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	} else if (z <= -1.45e+61) {
		tmp = i * t_2;
	} else if (z <= -2.25e-7) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -1.55e-114) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 5.6e-245) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 2.8e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 8.4e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 2.2e+136) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    t_2 = y1 * ((x * j) - (z * k))
    if (z <= (-1.1d+241)) then
        tmp = i * (t_2 + (c * ((z * t) - (x * y))))
    else if (z <= (-2d+169)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1))
    else if (z <= (-1.45d+61)) then
        tmp = i * t_2
    else if (z <= (-2.25d-7)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-1.55d-114)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= 5.6d-245) then
        tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    else if (z <= 2.8d-43) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 8.4d+37) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (z <= 2.2d+136) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else
        tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = y1 * ((x * j) - (z * k));
	double tmp;
	if (z <= -1.1e+241) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -2e+169) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	} else if (z <= -1.45e+61) {
		tmp = i * t_2;
	} else if (z <= -2.25e-7) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -1.55e-114) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 5.6e-245) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 2.8e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 8.4e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 2.2e+136) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = y1 * ((x * j) - (z * k))
	tmp = 0
	if z <= -1.1e+241:
		tmp = i * (t_2 + (c * ((z * t) - (x * y))))
	elif z <= -2e+169:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1))
	elif z <= -1.45e+61:
		tmp = i * t_2
	elif z <= -2.25e-7:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -1.55e-114:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= 5.6e-245:
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	elif z <= 2.8e-43:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 8.4e+37:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif z <= 2.2e+136:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	t_2 = Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))
	tmp = 0.0
	if (z <= -1.1e+241)
		tmp = Float64(i * Float64(t_2 + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	elseif (z <= -2e+169)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(z * t_1)));
	elseif (z <= -1.45e+61)
		tmp = Float64(i * t_2);
	elseif (z <= -2.25e-7)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -1.55e-114)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= 5.6e-245)
		tmp = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))));
	elseif (z <= 2.8e-43)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 8.4e+37)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (z <= 2.2e+136)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(z * Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	t_2 = y1 * ((x * j) - (z * k));
	tmp = 0.0;
	if (z <= -1.1e+241)
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	elseif (z <= -2e+169)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	elseif (z <= -1.45e+61)
		tmp = i * t_2;
	elseif (z <= -2.25e-7)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -1.55e-114)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= 5.6e-245)
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	elseif (z <= 2.8e-43)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 8.4e+37)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (z <= 2.2e+136)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	else
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1.1e+241], N[(i * N[(t$95$2 + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2e+169], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.45e+61], N[(i * t$95$2), $MachinePrecision], If[LessEqual[z, -2.25e-7], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.55e-114], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 5.6e-245], N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.8e-43], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 8.4e+37], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.2e+136], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if z < -1.1e241

   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 i around -inf 85.7%

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

   4. Taylor expanded in y5 around 0 85.7%

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

   if -1.1e241 < z < -1.99999999999999987e169

   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 y3 around -inf 31.8%

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

   4. Taylor expanded in j around 0 63.0%

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

   if -1.99999999999999987e169 < z < -1.45e61

   1. Initial program 18.8%

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

   3. Taylor expanded in i around -inf 50.0%

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

   4. Taylor expanded in y1 around inf 63.2%

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

   if -1.45e61 < z < -2.2499999999999999e-7

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -2.2499999999999999e-7 < z < -1.55e-114

   1. Initial program 12.8%

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

   3. Taylor expanded in j around inf 64.2%

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

   4. Taylor expanded in y1 around -inf 61.1%

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

      1. mul-1-neg 61.1%

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

   6. Simplified 61.1%

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

   if -1.55e-114 < z < 5.6000000000000003e-245

   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 c around inf 42.0%

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

      1. mul-1-neg 42.0%

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

   5. Simplified 42.0%

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

   6. Taylor expanded in x around inf 36.1%

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

   if 5.6000000000000003e-245 < z < 2.7999999999999998e-43

   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 j around inf 26.7%

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

   4. Taylor expanded in y0 around inf 46.7%

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

   if 2.7999999999999998e-43 < z < 8.4000000000000004e37

   1. Initial program 26.3%

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

   3. Taylor expanded in c around inf 30.4%

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

      1. mul-1-neg 30.4%

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

   5. Simplified 30.4%

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

   6. Taylor expanded in a around -inf 56.9%

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

      1. mul-1-neg 56.9%

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

   8. Simplified 56.9%

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

   if 8.4000000000000004e37 < z < 2.1999999999999999e136

   1. Initial program 27.8%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around 0 56.7%

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

   if 2.1999999999999999e136 < z

   1. Initial program 24.7%

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

   3. Taylor expanded in z around -inf 75.3%

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

   4. Taylor expanded in k around 0 73.0%

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

4. Final simplification 57.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.1 \cdot 10^{+241}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -2 \cdot 10^{+169}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1.45 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;z \leq -2.25 \cdot 10^{-7}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-114}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-245}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 8.4 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{+136}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 38.5% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := y1 \cdot \left(x \cdot j - z \cdot k\right)\\ t_3 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;z \leq -6 \cdot 10^{+241}:\\ \;\;\;\;i \cdot \left(t\_2 + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -1.8 \cdot 10^{+168}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot t\_1\right)\\ \mathbf{elif}\;z \leq -3.7 \cdot 10^{+60}:\\ \;\;\;\;i \cdot t\_2\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-13}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-196}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_3\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 2.35 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_3\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{+38}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+138}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_1 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0)))
        (t_2 (* y1 (- (* x j) (* z k))))
        (t_3 (- (* c y0) (* a y1))))
   (if (<= z -6e+241)
     (* i (+ t_2 (* c (- (* z t) (* x y)))))
     (if (<= z -1.8e+168)
       (* y3 (+ (* y (- (* c y4) (* a y5))) (* z t_1)))
       (if (<= z -3.7e+60)
         (* i t_2)
         (if (<= z -2.2e-13)
           (* b (* x (- (* y a) (* j y0))))
           (if (<= z -2.5e-117)
             (* j (* y1 (- (* x i) (* y3 y4))))
             (if (<= z 1.2e-196)
               (*
                y2
                (+
                 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_3))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= z 2.35e-42)
                 (*
                  x
                  (+
                   (+ (* y (- (* a b) (* c i))) (* y2 t_3))
                   (* j (- (* i y1) (* b y0)))))
                 (if (<= z 1.35e+38)
                   (*
                    a
                    (+
                     (* y5 (- (* t y2) (* y y3)))
                     (* y1 (- (* z y3) (* x y2)))))
                   (if (<= z 1.05e+138)
                     (*
                      b
                      (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
                     (* z (+ (* y3 t_1) (* t (- (* c i) (* a b))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = y1 * ((x * j) - (z * k));
	double t_3 = (c * y0) - (a * y1);
	double tmp;
	if (z <= -6e+241) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -1.8e+168) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	} else if (z <= -3.7e+60) {
		tmp = i * t_2;
	} else if (z <= -2.2e-13) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -2.5e-117) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 1.2e-196) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 2.35e-42) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))));
	} else if (z <= 1.35e+38) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 1.05e+138) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    t_2 = y1 * ((x * j) - (z * k))
    t_3 = (c * y0) - (a * y1)
    if (z <= (-6d+241)) then
        tmp = i * (t_2 + (c * ((z * t) - (x * y))))
    else if (z <= (-1.8d+168)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1))
    else if (z <= (-3.7d+60)) then
        tmp = i * t_2
    else if (z <= (-2.2d-13)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-2.5d-117)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= 1.2d-196) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
    else if (z <= 2.35d-42) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))))
    else if (z <= 1.35d+38) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (z <= 1.05d+138) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else
        tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = y1 * ((x * j) - (z * k));
	double t_3 = (c * y0) - (a * y1);
	double tmp;
	if (z <= -6e+241) {
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	} else if (z <= -1.8e+168) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	} else if (z <= -3.7e+60) {
		tmp = i * t_2;
	} else if (z <= -2.2e-13) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -2.5e-117) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 1.2e-196) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 2.35e-42) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))));
	} else if (z <= 1.35e+38) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 1.05e+138) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = y1 * ((x * j) - (z * k))
	t_3 = (c * y0) - (a * y1)
	tmp = 0
	if z <= -6e+241:
		tmp = i * (t_2 + (c * ((z * t) - (x * y))))
	elif z <= -1.8e+168:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1))
	elif z <= -3.7e+60:
		tmp = i * t_2
	elif z <= -2.2e-13:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -2.5e-117:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= 1.2e-196:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
	elif z <= 2.35e-42:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))))
	elif z <= 1.35e+38:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif z <= 1.05e+138:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	t_2 = Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (z <= -6e+241)
		tmp = Float64(i * Float64(t_2 + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	elseif (z <= -1.8e+168)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(z * t_1)));
	elseif (z <= -3.7e+60)
		tmp = Float64(i * t_2);
	elseif (z <= -2.2e-13)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -2.5e-117)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= 1.2e-196)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_3)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (z <= 2.35e-42)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_3)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (z <= 1.35e+38)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (z <= 1.05e+138)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(z * Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	t_2 = y1 * ((x * j) - (z * k));
	t_3 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (z <= -6e+241)
		tmp = i * (t_2 + (c * ((z * t) - (x * y))));
	elseif (z <= -1.8e+168)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_1));
	elseif (z <= -3.7e+60)
		tmp = i * t_2;
	elseif (z <= -2.2e-13)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -2.5e-117)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= 1.2e-196)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	elseif (z <= 2.35e-42)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + (j * ((i * y1) - (b * y0))));
	elseif (z <= 1.35e+38)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (z <= 1.05e+138)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	else
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -6e+241], N[(i * N[(t$95$2 + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.8e+168], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3.7e+60], N[(i * t$95$2), $MachinePrecision], If[LessEqual[z, -2.2e-13], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2.5e-117], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.2e-196], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.35e-42], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.35e+38], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.05e+138], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if z < -6.00000000000000031e241

   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 i around -inf 85.7%

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

   4. Taylor expanded in y5 around 0 85.7%

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

   if -6.00000000000000031e241 < z < -1.8e168

   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 y3 around -inf 31.8%

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

   4. Taylor expanded in j around 0 63.0%

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

   if -1.8e168 < z < -3.69999999999999988e60

   1. Initial program 18.8%

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

   3. Taylor expanded in i around -inf 50.0%

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

   4. Taylor expanded in y1 around inf 63.2%

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

   if -3.69999999999999988e60 < z < -2.19999999999999997e-13

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -2.19999999999999997e-13 < z < -2.5e-117

   1. Initial program 16.0%

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

   3. Taylor expanded in j around inf 62.0%

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

   4. Taylor expanded in y1 around -inf 58.8%

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

      1. mul-1-neg 58.8%

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

   6. Simplified 58.8%

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

   if -2.5e-117 < z < 1.2000000000000001e-196

   1. Initial program 27.4%

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

   3. Taylor expanded in y2 around inf 43.2%

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

   if 1.2000000000000001e-196 < z < 2.35e-42

   1. Initial program 28.7%

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

   3. Taylor expanded in x around inf 57.0%

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

   if 2.35e-42 < z < 1.34999999999999998e38

   1. Initial program 26.3%

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

   3. Taylor expanded in c around inf 30.4%

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

      1. mul-1-neg 30.4%

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

   5. Simplified 30.4%

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

   6. Taylor expanded in a around -inf 56.9%

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

      1. mul-1-neg 56.9%

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

   8. Simplified 56.9%

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

   if 1.34999999999999998e38 < z < 1.05000000000000003e138

   1. Initial program 27.8%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around 0 56.7%

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

   if 1.05000000000000003e138 < z

   1. Initial program 24.7%

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

   3. Taylor expanded in z around -inf 75.3%

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

   4. Taylor expanded in k around 0 73.0%

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

4. Final simplification 59.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -6 \cdot 10^{+241}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -1.8 \cdot 10^{+168}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -3.7 \cdot 10^{+60}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-13}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-196}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 2.35 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{+38}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+138}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 40.7% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := i \cdot \left(\left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ t_3 := b \cdot y4 - i \cdot y5\\ t_4 := c \cdot y4 - a \cdot y5\\ t_5 := y3 \cdot \left(y \cdot t\_4 + z \cdot t\_1\right)\\ t_6 := k \cdot y2 - j \cdot y3\\ \mathbf{if}\;y3 \leq -4.8 \cdot 10^{+114}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq -1.1 \cdot 10^{-15}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_1 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{-75}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-192}:\\ \;\;\;\;t\_6 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + j \cdot \left(t \cdot t\_3 + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -6.4 \cdot 10^{-214}:\\ \;\;\;\;y \cdot \left(\left(y3 \cdot t\_4 - c \cdot \left(x \cdot i\right)\right) - k \cdot t\_3\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-282}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{-40}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 5.2 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot t\_6\right)\\ \mathbf{else}:\\ \;\;\;\;t\_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0)))
        (t_2
         (*
          i
          (+
           (- (* c (- (* z t) (* x y))) (* y5 (- (* t j) (* y k))))
           (* y1 (- (* x j) (* z k))))))
        (t_3 (- (* b y4) (* i y5)))
        (t_4 (- (* c y4) (* a y5)))
        (t_5 (* y3 (+ (* y t_4) (* z t_1))))
        (t_6 (- (* k y2) (* j y3))))
   (if (<= y3 -4.8e+114)
     t_5
     (if (<= y3 -1.1e-15)
       (* z (+ (* y3 t_1) (* t (- (* c i) (* a b)))))
       (if (<= y3 -1.5e-75)
         t_2
         (if (<= y3 -7.2e-192)
           (+
            (* t_6 (- (* y1 y4) (* y0 y5)))
            (* j (+ (* t t_3) (* x (- (* i y1) (* b y0))))))
           (if (<= y3 -6.4e-214)
             (* y (- (- (* y3 t_4) (* c (* x i))) (* k t_3)))
             (if (<= y3 -1.7e-282)
               (*
                y0
                (+
                 (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))
                 (* b (- (* z k) (* x j)))))
               (if (<= y3 2.6e-40)
                 t_2
                 (if (<= y3 5.2e+165)
                   (* y1 (+ (* a (- (* z y3) (* x y2))) (* y4 t_6)))
                   t_5))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = i * (((c * ((z * t) - (x * y))) - (y5 * ((t * j) - (y * k)))) + (y1 * ((x * j) - (z * k))));
	double t_3 = (b * y4) - (i * y5);
	double t_4 = (c * y4) - (a * y5);
	double t_5 = y3 * ((y * t_4) + (z * t_1));
	double t_6 = (k * y2) - (j * y3);
	double tmp;
	if (y3 <= -4.8e+114) {
		tmp = t_5;
	} else if (y3 <= -1.1e-15) {
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	} else if (y3 <= -1.5e-75) {
		tmp = t_2;
	} else if (y3 <= -7.2e-192) {
		tmp = (t_6 * ((y1 * y4) - (y0 * y5))) + (j * ((t * t_3) + (x * ((i * y1) - (b * y0)))));
	} else if (y3 <= -6.4e-214) {
		tmp = y * (((y3 * t_4) - (c * (x * i))) - (k * t_3));
	} else if (y3 <= -1.7e-282) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (y3 <= 2.6e-40) {
		tmp = t_2;
	} else if (y3 <= 5.2e+165) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_6));
	} else {
		tmp = t_5;
	}
	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 * y1) - (c * y0)
    t_2 = i * (((c * ((z * t) - (x * y))) - (y5 * ((t * j) - (y * k)))) + (y1 * ((x * j) - (z * k))))
    t_3 = (b * y4) - (i * y5)
    t_4 = (c * y4) - (a * y5)
    t_5 = y3 * ((y * t_4) + (z * t_1))
    t_6 = (k * y2) - (j * y3)
    if (y3 <= (-4.8d+114)) then
        tmp = t_5
    else if (y3 <= (-1.1d-15)) then
        tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
    else if (y3 <= (-1.5d-75)) then
        tmp = t_2
    else if (y3 <= (-7.2d-192)) then
        tmp = (t_6 * ((y1 * y4) - (y0 * y5))) + (j * ((t * t_3) + (x * ((i * y1) - (b * y0)))))
    else if (y3 <= (-6.4d-214)) then
        tmp = y * (((y3 * t_4) - (c * (x * i))) - (k * t_3))
    else if (y3 <= (-1.7d-282)) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    else if (y3 <= 2.6d-40) then
        tmp = t_2
    else if (y3 <= 5.2d+165) then
        tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_6))
    else
        tmp = t_5
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = i * (((c * ((z * t) - (x * y))) - (y5 * ((t * j) - (y * k)))) + (y1 * ((x * j) - (z * k))));
	double t_3 = (b * y4) - (i * y5);
	double t_4 = (c * y4) - (a * y5);
	double t_5 = y3 * ((y * t_4) + (z * t_1));
	double t_6 = (k * y2) - (j * y3);
	double tmp;
	if (y3 <= -4.8e+114) {
		tmp = t_5;
	} else if (y3 <= -1.1e-15) {
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	} else if (y3 <= -1.5e-75) {
		tmp = t_2;
	} else if (y3 <= -7.2e-192) {
		tmp = (t_6 * ((y1 * y4) - (y0 * y5))) + (j * ((t * t_3) + (x * ((i * y1) - (b * y0)))));
	} else if (y3 <= -6.4e-214) {
		tmp = y * (((y3 * t_4) - (c * (x * i))) - (k * t_3));
	} else if (y3 <= -1.7e-282) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (y3 <= 2.6e-40) {
		tmp = t_2;
	} else if (y3 <= 5.2e+165) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_6));
	} else {
		tmp = t_5;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = i * (((c * ((z * t) - (x * y))) - (y5 * ((t * j) - (y * k)))) + (y1 * ((x * j) - (z * k))))
	t_3 = (b * y4) - (i * y5)
	t_4 = (c * y4) - (a * y5)
	t_5 = y3 * ((y * t_4) + (z * t_1))
	t_6 = (k * y2) - (j * y3)
	tmp = 0
	if y3 <= -4.8e+114:
		tmp = t_5
	elif y3 <= -1.1e-15:
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
	elif y3 <= -1.5e-75:
		tmp = t_2
	elif y3 <= -7.2e-192:
		tmp = (t_6 * ((y1 * y4) - (y0 * y5))) + (j * ((t * t_3) + (x * ((i * y1) - (b * y0)))))
	elif y3 <= -6.4e-214:
		tmp = y * (((y3 * t_4) - (c * (x * i))) - (k * t_3))
	elif y3 <= -1.7e-282:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	elif y3 <= 2.6e-40:
		tmp = t_2
	elif y3 <= 5.2e+165:
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_6))
	else:
		tmp = t_5
	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 * y1) - Float64(c * y0))
	t_2 = Float64(i * Float64(Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))))
	t_3 = Float64(Float64(b * y4) - Float64(i * y5))
	t_4 = Float64(Float64(c * y4) - Float64(a * y5))
	t_5 = Float64(y3 * Float64(Float64(y * t_4) + Float64(z * t_1)))
	t_6 = Float64(Float64(k * y2) - Float64(j * y3))
	tmp = 0.0
	if (y3 <= -4.8e+114)
		tmp = t_5;
	elseif (y3 <= -1.1e-15)
		tmp = Float64(z * Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))));
	elseif (y3 <= -1.5e-75)
		tmp = t_2;
	elseif (y3 <= -7.2e-192)
		tmp = Float64(Float64(t_6 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(j * Float64(Float64(t * t_3) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))));
	elseif (y3 <= -6.4e-214)
		tmp = Float64(y * Float64(Float64(Float64(y3 * t_4) - Float64(c * Float64(x * i))) - Float64(k * t_3)));
	elseif (y3 <= -1.7e-282)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y3 <= 2.6e-40)
		tmp = t_2;
	elseif (y3 <= 5.2e+165)
		tmp = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * t_6)));
	else
		tmp = t_5;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	t_2 = i * (((c * ((z * t) - (x * y))) - (y5 * ((t * j) - (y * k)))) + (y1 * ((x * j) - (z * k))));
	t_3 = (b * y4) - (i * y5);
	t_4 = (c * y4) - (a * y5);
	t_5 = y3 * ((y * t_4) + (z * t_1));
	t_6 = (k * y2) - (j * y3);
	tmp = 0.0;
	if (y3 <= -4.8e+114)
		tmp = t_5;
	elseif (y3 <= -1.1e-15)
		tmp = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	elseif (y3 <= -1.5e-75)
		tmp = t_2;
	elseif (y3 <= -7.2e-192)
		tmp = (t_6 * ((y1 * y4) - (y0 * y5))) + (j * ((t * t_3) + (x * ((i * y1) - (b * y0)))));
	elseif (y3 <= -6.4e-214)
		tmp = y * (((y3 * t_4) - (c * (x * i))) - (k * t_3));
	elseif (y3 <= -1.7e-282)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	elseif (y3 <= 2.6e-40)
		tmp = t_2;
	elseif (y3 <= 5.2e+165)
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_6));
	else
		tmp = t_5;
	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 * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y3 * N[(N[(y * t$95$4), $MachinePrecision] + N[(z * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -4.8e+114], t$95$5, If[LessEqual[y3, -1.1e-15], N[(z * N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.5e-75], t$95$2, If[LessEqual[y3, -7.2e-192], N[(N[(t$95$6 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(t * t$95$3), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -6.4e-214], N[(y * N[(N[(N[(y3 * t$95$4), $MachinePrecision] - N[(c * N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(k * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.7e-282], N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.6e-40], t$95$2, If[LessEqual[y3, 5.2e+165], N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$5]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -4.8e114 or 5.2000000000000002e165 < y3

   1. Initial program 15.6%

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

   3. Taylor expanded in y3 around -inf 49.0%

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

   4. Taylor expanded in j around 0 56.8%

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

   if -4.8e114 < y3 < -1.09999999999999993e-15

   1. Initial program 36.3%

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

   3. Taylor expanded in z around -inf 44.4%

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

   4. Taylor expanded in k around 0 56.2%

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

   if -1.09999999999999993e-15 < y3 < -1.4999999999999999e-75 or -1.69999999999999999e-282 < y3 < 2.6000000000000001e-40

   1. Initial program 29.9%

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

   3. Taylor expanded in i around -inf 61.2%

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

   if -1.4999999999999999e-75 < y3 < -7.1999999999999998e-192

   1. Initial program 26.4%

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

   3. Taylor expanded in j around inf 56.3%

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

   if -7.1999999999999998e-192 < y3 < -6.40000000000000027e-214

   1. Initial program 51.1%

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

   3. Taylor expanded in c around inf 75.0%

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

      1. mul-1-neg 75.0%

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

   5. Simplified 75.0%

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

   6. Taylor expanded in y around inf 100.0%

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

   if -6.40000000000000027e-214 < y3 < -1.69999999999999999e-282

   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 y0 around inf 67.2%

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

   if 2.6000000000000001e-40 < y3 < 5.2000000000000002e165

   1. Initial program 18.8%

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

   3. Taylor expanded in c around inf 25.0%

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

      1. mul-1-neg 25.0%

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

   5. Simplified 25.0%

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

   6. Taylor expanded in y1 around inf 63.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 60.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -4.8 \cdot 10^{+114}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -1.1 \cdot 10^{-15}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{-75}:\\ \;\;\;\;i \cdot \left(\left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-192}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -6.4 \cdot 10^{-214}:\\ \;\;\;\;y \cdot \left(\left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right) - c \cdot \left(x \cdot i\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-282}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{-40}:\\ \;\;\;\;i \cdot \left(\left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 5.2 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 35.9% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := z \cdot \left(y3 \cdot t\_1 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ t_3 := z \cdot t\_1\\ \mathbf{if}\;i \leq -6.2 \cdot 10^{+142}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -2.5 \cdot 10^{-50}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + t\_3\right)\\ \mathbf{elif}\;i \leq -1.25 \cdot 10^{-155}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -1.55 \cdot 10^{-189}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + t\_3\right)\\ \mathbf{elif}\;i \leq -4.5 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 9.4 \cdot 10^{-51}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;i \leq 460000:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{+136}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0)))
        (t_2 (* z (+ (* y3 t_1) (* t (- (* c i) (* a b))))))
        (t_3 (* z t_1)))
   (if (<= i -6.2e+142)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= i -2.5e-50)
       (* y3 (+ (* c (* y y4)) t_3))
       (if (<= i -1.25e-155)
         (* k (+ (* y (- (* i y5) (* b y4))) (* y2 (- (* y1 y4) (* y0 y5)))))
         (if (<= i -1.55e-189)
           (* y3 (+ (* y (- (* c y4) (* a y5))) t_3))
           (if (<= i -4.5e-297)
             (* j (* y0 (- (* y3 y5) (* x b))))
             (if (<= i 9.4e-51)
               t_2
               (if (<= i 460000.0)
                 (* y1 (* y2 (- (* k y4) (* x a))))
                 (if (<= i 7.8e+136)
                   t_2
                   (*
                    i
                    (+
                     (* y1 (- (* x j) (* z k)))
                     (* c (- (* z t) (* x y)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	double t_3 = z * t_1;
	double tmp;
	if (i <= -6.2e+142) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (i <= -2.5e-50) {
		tmp = y3 * ((c * (y * y4)) + t_3);
	} else if (i <= -1.25e-155) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	} else if (i <= -1.55e-189) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3);
	} else if (i <= -4.5e-297) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (i <= 9.4e-51) {
		tmp = t_2;
	} else if (i <= 460000.0) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (i <= 7.8e+136) {
		tmp = t_2;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	}
	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 * y1) - (c * y0)
    t_2 = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
    t_3 = z * t_1
    if (i <= (-6.2d+142)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (i <= (-2.5d-50)) then
        tmp = y3 * ((c * (y * y4)) + t_3)
    else if (i <= (-1.25d-155)) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))))
    else if (i <= (-1.55d-189)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3)
    else if (i <= (-4.5d-297)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (i <= 9.4d-51) then
        tmp = t_2
    else if (i <= 460000.0d0) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (i <= 7.8d+136) then
        tmp = t_2
    else
        tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	double t_3 = z * t_1;
	double tmp;
	if (i <= -6.2e+142) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (i <= -2.5e-50) {
		tmp = y3 * ((c * (y * y4)) + t_3);
	} else if (i <= -1.25e-155) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	} else if (i <= -1.55e-189) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3);
	} else if (i <= -4.5e-297) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (i <= 9.4e-51) {
		tmp = t_2;
	} else if (i <= 460000.0) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (i <= 7.8e+136) {
		tmp = t_2;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = z * ((y3 * t_1) + (t * ((c * i) - (a * b))))
	t_3 = z * t_1
	tmp = 0
	if i <= -6.2e+142:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif i <= -2.5e-50:
		tmp = y3 * ((c * (y * y4)) + t_3)
	elif i <= -1.25e-155:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))))
	elif i <= -1.55e-189:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3)
	elif i <= -4.5e-297:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif i <= 9.4e-51:
		tmp = t_2
	elif i <= 460000.0:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif i <= 7.8e+136:
		tmp = t_2
	else:
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
	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 * y1) - Float64(c * y0))
	t_2 = Float64(z * Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))))
	t_3 = Float64(z * t_1)
	tmp = 0.0
	if (i <= -6.2e+142)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (i <= -2.5e-50)
		tmp = Float64(y3 * Float64(Float64(c * Float64(y * y4)) + t_3));
	elseif (i <= -1.25e-155)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))));
	elseif (i <= -1.55e-189)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + t_3));
	elseif (i <= -4.5e-297)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (i <= 9.4e-51)
		tmp = t_2;
	elseif (i <= 460000.0)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (i <= 7.8e+136)
		tmp = t_2;
	else
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	t_2 = z * ((y3 * t_1) + (t * ((c * i) - (a * b))));
	t_3 = z * t_1;
	tmp = 0.0;
	if (i <= -6.2e+142)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (i <= -2.5e-50)
		tmp = y3 * ((c * (y * y4)) + t_3);
	elseif (i <= -1.25e-155)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	elseif (i <= -1.55e-189)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + t_3);
	elseif (i <= -4.5e-297)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (i <= 9.4e-51)
		tmp = t_2;
	elseif (i <= 460000.0)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (i <= 7.8e+136)
		tmp = t_2;
	else
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	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 * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(z * N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(z * t$95$1), $MachinePrecision]}, If[LessEqual[i, -6.2e+142], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -2.5e-50], N[(y3 * N[(N[(c * N[(y * y4), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.25e-155], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.55e-189], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -4.5e-297], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 9.4e-51], t$95$2, If[LessEqual[i, 460000.0], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 7.8e+136], t$95$2, N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if i < -6.1999999999999998e142

   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 j around inf 48.6%

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

   4. Taylor expanded in i around -inf 56.7%

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

      1. mul-1-neg 56.7%

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

   6. Simplified 56.7%

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

   if -6.1999999999999998e142 < i < -2.49999999999999984e-50

   1. Initial program 19.3%

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

   3. Taylor expanded in y3 around -inf 30.7%

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

   4. Taylor expanded in j around 0 28.8%

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

   5. Taylor expanded in y5 around 0 47.0%

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

   if -2.49999999999999984e-50 < i < -1.25e-155

   1. Initial program 43.8%

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

   3. Taylor expanded in c around inf 56.3%

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

      1. mul-1-neg 56.3%

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

   5. Simplified 56.3%

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

   6. Taylor expanded in k around inf 44.9%

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

   if -1.25e-155 < i < -1.55e-189

   1. Initial program 33.3%

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

   3. Taylor expanded in y3 around -inf 66.7%

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

   4. Taylor expanded in j around 0 77.8%

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

   if -1.55e-189 < i < -4.49999999999999975e-297

   1. Initial program 18.3%

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

   3. Taylor expanded in j around inf 41.4%

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

   4. Taylor expanded in y0 around inf 55.7%

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

   if -4.49999999999999975e-297 < i < 9.3999999999999995e-51 or 4.6e5 < i < 7.80000000000000038e136

   1. Initial program 28.0%

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

   3. Taylor expanded in z around -inf 47.1%

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

   4. Taylor expanded in k around 0 49.6%

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

   if 9.3999999999999995e-51 < i < 4.6e5

   1. Initial program 0.5%

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

   3. Taylor expanded in c around inf 11.1%

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

      1. mul-1-neg 11.1%

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

   5. Simplified 11.1%

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

   6. Taylor expanded in y1 around inf 79.2%

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

   7. Taylor expanded in y2 around inf 68.4%

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

      1. +-commutative 68.4%

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

      2. mul-1-neg 68.4%

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

      3. unsub-neg 68.4%

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

      4. *-commutative 68.4%

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

   9. Simplified 68.4%

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

   if 7.80000000000000038e136 < i

   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 i around -inf 63.7%

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

   4. Taylor expanded in y5 around 0 58.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 53.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -6.2 \cdot 10^{+142}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -2.5 \cdot 10^{-50}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.25 \cdot 10^{-155}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -1.55 \cdot 10^{-189}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -4.5 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 9.4 \cdot 10^{-51}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 460000:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{+136}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 30.5% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -2.35 \cdot 10^{+198}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-10}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-28}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 3.45 \cdot 10^{-242}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-42}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= z -2.35e+198)
   (* b (* z (- (* k y0) (* t a))))
   (if (<= z -1.2e+61)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= z -1.85e-10)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= z -2.7e-28)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= z -1.95e-117)
           (* j (* y1 (- (* x i) (* y3 y4))))
           (if (<= z 3.45e-242)
             (* y1 (* y2 (- (* k y4) (* x a))))
             (if (<= z 2.9e-42)
               (* j (* y0 (- (* y3 y5) (* x b))))
               (if (<= z 1.6e+36)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= z 7.5e+135)
                   (* b (* y0 (- (* z k) (* x j))))
                   (* c (* (* z t) 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 <= -2.35e+198) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (z <= -1.2e+61) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (z <= -1.85e-10) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -2.7e-28) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (z <= -1.95e-117) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 3.45e-242) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (z <= 2.9e-42) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 1.6e+36) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (z <= 7.5e+135) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else {
		tmp = c * ((z * t) * 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 <= (-2.35d+198)) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (z <= (-1.2d+61)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (z <= (-1.85d-10)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-2.7d-28)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (z <= (-1.95d-117)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= 3.45d-242) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (z <= 2.9d-42) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 1.6d+36) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (z <= 7.5d+135) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else
        tmp = c * ((z * t) * 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 <= -2.35e+198) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (z <= -1.2e+61) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (z <= -1.85e-10) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -2.7e-28) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (z <= -1.95e-117) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 3.45e-242) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (z <= 2.9e-42) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 1.6e+36) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (z <= 7.5e+135) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else {
		tmp = c * ((z * t) * 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 <= -2.35e+198:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif z <= -1.2e+61:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif z <= -1.85e-10:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -2.7e-28:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif z <= -1.95e-117:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= 3.45e-242:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif z <= 2.9e-42:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 1.6e+36:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif z <= 7.5e+135:
		tmp = b * (y0 * ((z * k) - (x * j)))
	else:
		tmp = c * ((z * t) * 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 <= -2.35e+198)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (z <= -1.2e+61)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (z <= -1.85e-10)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -2.7e-28)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (z <= -1.95e-117)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= 3.45e-242)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (z <= 2.9e-42)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 1.6e+36)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (z <= 7.5e+135)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	else
		tmp = Float64(c * Float64(Float64(z * t) * 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 <= -2.35e+198)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (z <= -1.2e+61)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (z <= -1.85e-10)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -2.7e-28)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (z <= -1.95e-117)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= 3.45e-242)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (z <= 2.9e-42)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 1.6e+36)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (z <= 7.5e+135)
		tmp = b * (y0 * ((z * k) - (x * j)));
	else
		tmp = c * ((z * t) * 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, -2.35e+198], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.2e+61], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.85e-10], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2.7e-28], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.95e-117], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.45e-242], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.9e-42], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.6e+36], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 7.5e+135], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(z * t), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if z < -2.3500000000000001e198

   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 b around inf 55.4%

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

   4. Taylor expanded in z around -inf 51.3%

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

      1. mul-1-neg 51.3%

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

   6. Simplified 51.3%

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

   if -2.3500000000000001e198 < z < -1.1999999999999999e61

   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 j around inf 30.9%

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

   4. Taylor expanded in i around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

   6. Simplified 58.2%

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

   if -1.1999999999999999e61 < z < -1.85000000000000007e-10

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -1.85000000000000007e-10 < z < -2.6999999999999999e-28

   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 j around inf 100.0%

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

   4. Taylor expanded in t around inf 100.0%

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

   if -2.6999999999999999e-28 < z < -1.94999999999999996e-117

   1. Initial program 13.2%

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

   3. Taylor expanded in j around inf 58.8%

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

   4. Taylor expanded in y1 around -inf 63.6%

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

      1. mul-1-neg 63.6%

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

   6. Simplified 63.6%

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

   if -1.94999999999999996e-117 < z < 3.44999999999999998e-242

   1. Initial program 29.9%

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

   3. Taylor expanded in c around inf 41.1%

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

      1. mul-1-neg 41.1%

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

   5. Simplified 41.1%

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

   6. Taylor expanded in y1 around inf 37.2%

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

   7. Taylor expanded in y2 around inf 35.0%

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

      1. +-commutative 35.0%

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

      2. mul-1-neg 35.0%

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

      3. unsub-neg 35.0%

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

      4. *-commutative 35.0%

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

   9. Simplified 35.0%

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

   if 3.44999999999999998e-242 < z < 2.9000000000000003e-42

   1. Initial program 25.1%

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

   3. Taylor expanded in j around inf 28.3%

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

   4. Taylor expanded in y0 around inf 46.5%

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

   if 2.9000000000000003e-42 < z < 1.5999999999999999e36

   1. Initial program 27.5%

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

   3. Taylor expanded in j around inf 36.8%

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

   4. Taylor expanded in x around inf 47.1%

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

   if 1.5999999999999999e36 < z < 7.49999999999999947e135

   1. Initial program 28.8%

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

   3. Taylor expanded in b around inf 40.6%

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

   4. Taylor expanded in y0 around inf 47.9%

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

   if 7.49999999999999947e135 < z

   1. Initial program 23.5%

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

   3. Taylor expanded in i around -inf 39.1%

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

   4. Taylor expanded in z around -inf 57.8%

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

      1. mul-1-neg 57.8%

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

   6. Simplified 57.8%

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

   7. Taylor expanded in c around inf 53.3%

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

      1. mul-1-neg 53.3%

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

      2. *-commutative 53.3%

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

      3. distribute-rgt-neg-in 53.3%

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

      4. *-commutative 53.3%

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

   9. Simplified 53.3%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot \left(z \cdot t\right)\right) \cdot \left(-c\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 50.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -2.35 \cdot 10^{+198}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-10}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-28}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 3.45 \cdot 10^{-242}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-42}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 30.8% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{if}\;y1 \leq -5 \cdot 10^{+201}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -1.2 \cdot 10^{+106}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.52 \cdot 10^{-15}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -1.28 \cdot 10^{-54}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -6.3 \cdot 10^{-62}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -3.3 \cdot 10^{-268}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 1.36 \cdot 10^{-179}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 3.4 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y1 \leq 1.16 \cdot 10^{+129}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y3 (* z (- (* a y1) (* c y0))))))
   (if (<= y1 -5e+201)
     t_1
     (if (<= y1 -1.2e+106)
       (* i (* j (- (* x y1) (* t y5))))
       (if (<= y1 -1.52e-15)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y1 -1.28e-54)
           (* y3 (* a (- (* z y1) (* y y5))))
           (if (<= y1 -6.3e-62)
             (* y1 (* y2 (- (* k y4) (* x a))))
             (if (<= y1 -3.3e-268)
               (* b (* x (- (* y a) (* j y0))))
               (if (<= y1 1.36e-179)
                 (* b (* k (- (* z y0) (* y y4))))
                 (if (<= y1 3.4e+71)
                   (* c (* i (- (* z t) (* x y))))
                   (if (<= y1 1.16e+129)
                     t_1
                     (* i (* y1 (- (* x j) (* z k)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y3 * (z * ((a * y1) - (c * y0)));
	double tmp;
	if (y1 <= -5e+201) {
		tmp = t_1;
	} else if (y1 <= -1.2e+106) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y1 <= -1.52e-15) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y1 <= -1.28e-54) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y1 <= -6.3e-62) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y1 <= -3.3e-268) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y1 <= 1.36e-179) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (y1 <= 3.4e+71) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (y1 <= 1.16e+129) {
		tmp = t_1;
	} else {
		tmp = i * (y1 * ((x * j) - (z * k)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y3 * (z * ((a * y1) - (c * y0)))
    if (y1 <= (-5d+201)) then
        tmp = t_1
    else if (y1 <= (-1.2d+106)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y1 <= (-1.52d-15)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y1 <= (-1.28d-54)) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (y1 <= (-6.3d-62)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y1 <= (-3.3d-268)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y1 <= 1.36d-179) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (y1 <= 3.4d+71) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (y1 <= 1.16d+129) then
        tmp = t_1
    else
        tmp = i * (y1 * ((x * j) - (z * k)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y3 * (z * ((a * y1) - (c * y0)));
	double tmp;
	if (y1 <= -5e+201) {
		tmp = t_1;
	} else if (y1 <= -1.2e+106) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y1 <= -1.52e-15) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y1 <= -1.28e-54) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y1 <= -6.3e-62) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y1 <= -3.3e-268) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y1 <= 1.36e-179) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (y1 <= 3.4e+71) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (y1 <= 1.16e+129) {
		tmp = t_1;
	} else {
		tmp = i * (y1 * ((x * j) - (z * k)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y3 * (z * ((a * y1) - (c * y0)))
	tmp = 0
	if y1 <= -5e+201:
		tmp = t_1
	elif y1 <= -1.2e+106:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y1 <= -1.52e-15:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y1 <= -1.28e-54:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif y1 <= -6.3e-62:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y1 <= -3.3e-268:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y1 <= 1.36e-179:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif y1 <= 3.4e+71:
		tmp = c * (i * ((z * t) - (x * y)))
	elif y1 <= 1.16e+129:
		tmp = t_1
	else:
		tmp = i * (y1 * ((x * j) - (z * k)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))
	tmp = 0.0
	if (y1 <= -5e+201)
		tmp = t_1;
	elseif (y1 <= -1.2e+106)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y1 <= -1.52e-15)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y1 <= -1.28e-54)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y1 <= -6.3e-62)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y1 <= -3.3e-268)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y1 <= 1.36e-179)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (y1 <= 3.4e+71)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (y1 <= 1.16e+129)
		tmp = t_1;
	else
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y3 * (z * ((a * y1) - (c * y0)));
	tmp = 0.0;
	if (y1 <= -5e+201)
		tmp = t_1;
	elseif (y1 <= -1.2e+106)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y1 <= -1.52e-15)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y1 <= -1.28e-54)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (y1 <= -6.3e-62)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y1 <= -3.3e-268)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y1 <= 1.36e-179)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (y1 <= 3.4e+71)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (y1 <= 1.16e+129)
		tmp = t_1;
	else
		tmp = i * (y1 * ((x * j) - (z * k)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -5e+201], t$95$1, If[LessEqual[y1, -1.2e+106], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.52e-15], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.28e-54], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -6.3e-62], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -3.3e-268], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.36e-179], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.4e+71], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.16e+129], t$95$1, N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y1 < -4.9999999999999995e201 or 3.3999999999999998e71 < y1 < 1.16e129

   1. Initial program 16.9%

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

   3. Taylor expanded in y3 around -inf 28.2%

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

   4. Taylor expanded in z around inf 54.1%

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

   if -4.9999999999999995e201 < y1 < -1.2e106

   1. Initial program 14.5%

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

   3. Taylor expanded in j around inf 32.0%

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

   4. Taylor expanded in i around -inf 55.5%

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

      1. mul-1-neg 55.5%

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

   6. Simplified 55.5%

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

   if -1.2e106 < y1 < -1.52000000000000005e-15

   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 z around -inf 39.2%

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

   4. Taylor expanded in c around inf 45.0%

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

      1. +-commutative 45.0%

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

      2. mul-1-neg 45.0%

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

      3. unsub-neg 45.0%

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

      4. *-commutative 45.0%

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

   6. Simplified 45.0%

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

   if -1.52000000000000005e-15 < y1 < -1.2800000000000001e-54

   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 y3 around -inf 36.4%

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

   4. Taylor expanded in a around -inf 63.5%

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

      1. mul-1-neg 63.5%

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

   6. Simplified 63.5%

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

   if -1.2800000000000001e-54 < y1 < -6.2999999999999997e-62

   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 c around inf 33.3%

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

      1. mul-1-neg 33.3%

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

   5. Simplified 33.3%

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

   6. Taylor expanded in y1 around inf 100.0%

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

   7. Taylor expanded in y2 around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

      4. *-commutative 100.0%

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

   9. Simplified 100.0%

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

   if -6.2999999999999997e-62 < y1 < -3.29999999999999993e-268

   1. Initial program 33.0%

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

   3. Taylor expanded in b around inf 42.3%

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

   4. Taylor expanded in x around inf 47.8%

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

   if -3.29999999999999993e-268 < y1 < 1.35999999999999993e-179

   1. Initial program 42.5%

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

   3. Taylor expanded in b around inf 46.4%

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

   4. Taylor expanded in k around -inf 54.6%

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

      1. mul-1-neg 54.6%

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

   6. Simplified 54.6%

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

   if 1.35999999999999993e-179 < y1 < 3.3999999999999998e71

   1. Initial program 25.5%

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

   3. Taylor expanded in i around -inf 49.8%

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

   4. Taylor expanded in c around inf 41.2%

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

   if 1.16e129 < y1

   1. Initial program 21.4%

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

   3. Taylor expanded in i around -inf 54.1%

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

   4. Taylor expanded in y1 around inf 64.9%

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

4. Final simplification 51.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -5 \cdot 10^{+201}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -1.2 \cdot 10^{+106}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.52 \cdot 10^{-15}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -1.28 \cdot 10^{-54}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -6.3 \cdot 10^{-62}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -3.3 \cdot 10^{-268}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 1.36 \cdot 10^{-179}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 3.4 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;y1 \leq 1.16 \cdot 10^{+129}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 35.2% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -6.1 \cdot 10^{+60}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -5.5 \cdot 10^{-12}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-115}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-247}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 3.55 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{+138}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= z -6.1e+60)
   (* i (+ (* y1 (- (* x j) (* z k))) (* c (- (* z t) (* x y)))))
   (if (<= z -5.5e-12)
     (* b (* x (- (* y a) (* j y0))))
     (if (<= z -9e-115)
       (* j (* y1 (- (* x i) (* y3 y4))))
       (if (<= z 8.2e-247)
         (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))
         (if (<= z 3.55e-43)
           (* j (* y0 (- (* y3 y5) (* x b))))
           (if (<= z 2.15e+37)
             (*
              a
              (+ (* y5 (- (* t y2) (* y y3))) (* y1 (- (* z y3) (* x y2)))))
             (if (<= z 6.8e+138)
               (* b (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
               (* z (+ (* c (* t i)) (* y3 (- (* a y1) (* c y0)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (z <= -6.1e+60) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	} else if (z <= -5.5e-12) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -9e-115) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 8.2e-247) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 3.55e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 2.15e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 6.8e+138) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (z <= (-6.1d+60)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
    else if (z <= (-5.5d-12)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= (-9d-115)) then
        tmp = j * (y1 * ((x * i) - (y3 * y4)))
    else if (z <= 8.2d-247) then
        tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    else if (z <= 3.55d-43) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (z <= 2.15d+37) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
    else if (z <= 6.8d+138) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else
        tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (z <= -6.1e+60) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	} else if (z <= -5.5e-12) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= -9e-115) {
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	} else if (z <= 8.2e-247) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (z <= 3.55e-43) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (z <= 2.15e+37) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	} else if (z <= 6.8e+138) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if z <= -6.1e+60:
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
	elif z <= -5.5e-12:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= -9e-115:
		tmp = j * (y1 * ((x * i) - (y3 * y4)))
	elif z <= 8.2e-247:
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	elif z <= 3.55e-43:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif z <= 2.15e+37:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))))
	elif z <= 6.8e+138:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (z <= -6.1e+60)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	elseif (z <= -5.5e-12)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= -9e-115)
		tmp = Float64(j * Float64(y1 * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (z <= 8.2e-247)
		tmp = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))));
	elseif (z <= 3.55e-43)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (z <= 2.15e+37)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (z <= 6.8e+138)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(z * Float64(Float64(c * Float64(t * i)) + Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (z <= -6.1e+60)
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	elseif (z <= -5.5e-12)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= -9e-115)
		tmp = j * (y1 * ((x * i) - (y3 * y4)));
	elseif (z <= 8.2e-247)
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	elseif (z <= 3.55e-43)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (z <= 2.15e+37)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + (y1 * ((z * y3) - (x * y2))));
	elseif (z <= 6.8e+138)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	else
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[z, -6.1e+60], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -5.5e-12], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -9e-115], N[(j * N[(y1 * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 8.2e-247], N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.55e-43], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.15e+37], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 6.8e+138], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(N[(c * N[(t * i), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if z < -6.0999999999999999e60

   1. Initial program 23.9%

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

   3. Taylor expanded in i around -inf 56.7%

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

   4. Taylor expanded in y5 around 0 61.0%

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

   if -6.0999999999999999e60 < z < -5.5000000000000004e-12

   1. Initial program 29.0%

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

   3. Taylor expanded in b around inf 29.1%

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

   4. Taylor expanded in x around inf 65.2%

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

   if -5.5000000000000004e-12 < z < -9.00000000000000046e-115

   1. Initial program 12.8%

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

   3. Taylor expanded in j around inf 64.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y1 around -inf 61.1%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot \left(y3 \cdot y4 - i \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 61.1%

         \[\leadsto j \cdot \color{blue}{\left(-y1 \cdot \left(y3 \cdot y4 - i \cdot x\right)\right)} \]

   6. Simplified 61.1%

      \[\leadsto j \cdot \color{blue}{\left(-y1 \cdot \left(y3 \cdot y4 - i \cdot x\right)\right)} \]

   if -9.00000000000000046e-115 < z < 8.1999999999999997e-247

   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 c around inf 42.0%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 42.0%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 42.0%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in x around inf 36.1%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot y\right)\right)} \]

   if 8.1999999999999997e-247 < z < 3.55000000000000013e-43

   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 j around inf 26.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 46.7%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   if 3.55000000000000013e-43 < z < 2.1499999999999998e37

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 30.4%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 30.4%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 30.4%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in a around -inf 56.9%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 56.9%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   8. Simplified 56.9%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 2.1499999999999998e37 < z < 6.80000000000000022e138

   1. Initial program 27.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 42.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around 0 56.7%

      \[\leadsto \color{blue}{b \cdot \left(a \cdot \left(x \cdot y - t \cdot z\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 6.80000000000000022e138 < z

   1. Initial program 24.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 20.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 20.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 20.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in z around -inf 65.8%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 65.8%

         \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]

   8. Simplified 65.8%

      \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 55.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -6.1 \cdot 10^{+60}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;z \leq -5.5 \cdot 10^{-12}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-115}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-247}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 3.55 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{+138}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 40.7% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := a \cdot y1 - c \cdot y0\\ t_3 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot t\_2\right)\\ t_4 := t \cdot j - y \cdot k\\ t_5 := i \cdot \left(\left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_4\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;y3 \leq -2.9 \cdot 10^{+113}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{-11}:\\ \;\;\;\;z \cdot \left(y3 \cdot t\_2 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -4 \cdot 10^{-105}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq -3.1 \cdot 10^{-163}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_4 + y1 \cdot t\_1\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{-38}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot t\_1\right)\\ \mathbf{else}:\\ \;\;\;\;t\_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (- (* a y1) (* c y0)))
        (t_3 (* y3 (+ (* y (- (* c y4) (* a y5))) (* z t_2))))
        (t_4 (- (* t j) (* y k)))
        (t_5
         (*
          i
          (+
           (- (* c (- (* z t) (* x y))) (* y5 t_4))
           (* y1 (- (* x j) (* z k)))))))
   (if (<= y3 -2.9e+113)
     t_3
     (if (<= y3 -2.6e-11)
       (* z (+ (* y3 t_2) (* t (- (* c i) (* a b)))))
       (if (<= y3 -4e-105)
         t_5
         (if (<= y3 -3.1e-163)
           (* y4 (+ (+ (* b t_4) (* y1 t_1)) (* c (- (* y y3) (* t y2)))))
           (if (<= y3 4.8e-38)
             t_5
             (if (<= y3 5.8e+165)
               (* y1 (+ (* a (- (* z y3) (* x y2))) (* y4 t_1)))
               t_3))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (k * y2) - (j * y3);
	double t_2 = (a * y1) - (c * y0);
	double t_3 = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_2));
	double t_4 = (t * j) - (y * k);
	double t_5 = i * (((c * ((z * t) - (x * y))) - (y5 * t_4)) + (y1 * ((x * j) - (z * k))));
	double tmp;
	if (y3 <= -2.9e+113) {
		tmp = t_3;
	} else if (y3 <= -2.6e-11) {
		tmp = z * ((y3 * t_2) + (t * ((c * i) - (a * b))));
	} else if (y3 <= -4e-105) {
		tmp = t_5;
	} else if (y3 <= -3.1e-163) {
		tmp = y4 * (((b * t_4) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 4.8e-38) {
		tmp = t_5;
	} else if (y3 <= 5.8e+165) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_1));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (k * y2) - (j * y3)
    t_2 = (a * y1) - (c * y0)
    t_3 = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_2))
    t_4 = (t * j) - (y * k)
    t_5 = i * (((c * ((z * t) - (x * y))) - (y5 * t_4)) + (y1 * ((x * j) - (z * k))))
    if (y3 <= (-2.9d+113)) then
        tmp = t_3
    else if (y3 <= (-2.6d-11)) then
        tmp = z * ((y3 * t_2) + (t * ((c * i) - (a * b))))
    else if (y3 <= (-4d-105)) then
        tmp = t_5
    else if (y3 <= (-3.1d-163)) then
        tmp = y4 * (((b * t_4) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
    else if (y3 <= 4.8d-38) then
        tmp = t_5
    else if (y3 <= 5.8d+165) then
        tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_1))
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (k * y2) - (j * y3);
	double t_2 = (a * y1) - (c * y0);
	double t_3 = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_2));
	double t_4 = (t * j) - (y * k);
	double t_5 = i * (((c * ((z * t) - (x * y))) - (y5 * t_4)) + (y1 * ((x * j) - (z * k))));
	double tmp;
	if (y3 <= -2.9e+113) {
		tmp = t_3;
	} else if (y3 <= -2.6e-11) {
		tmp = z * ((y3 * t_2) + (t * ((c * i) - (a * b))));
	} else if (y3 <= -4e-105) {
		tmp = t_5;
	} else if (y3 <= -3.1e-163) {
		tmp = y4 * (((b * t_4) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 4.8e-38) {
		tmp = t_5;
	} else if (y3 <= 5.8e+165) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_1));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y2) - (j * y3)
	t_2 = (a * y1) - (c * y0)
	t_3 = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_2))
	t_4 = (t * j) - (y * k)
	t_5 = i * (((c * ((z * t) - (x * y))) - (y5 * t_4)) + (y1 * ((x * j) - (z * k))))
	tmp = 0
	if y3 <= -2.9e+113:
		tmp = t_3
	elif y3 <= -2.6e-11:
		tmp = z * ((y3 * t_2) + (t * ((c * i) - (a * b))))
	elif y3 <= -4e-105:
		tmp = t_5
	elif y3 <= -3.1e-163:
		tmp = y4 * (((b * t_4) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
	elif y3 <= 4.8e-38:
		tmp = t_5
	elif y3 <= 5.8e+165:
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_1))
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(k * y2) - Float64(j * y3))
	t_2 = Float64(Float64(a * y1) - Float64(c * y0))
	t_3 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(z * t_2)))
	t_4 = Float64(Float64(t * j) - Float64(y * k))
	t_5 = Float64(i * Float64(Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_4)) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))))
	tmp = 0.0
	if (y3 <= -2.9e+113)
		tmp = t_3;
	elseif (y3 <= -2.6e-11)
		tmp = Float64(z * Float64(Float64(y3 * t_2) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))));
	elseif (y3 <= -4e-105)
		tmp = t_5;
	elseif (y3 <= -3.1e-163)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_4) + Float64(y1 * t_1)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y3 <= 4.8e-38)
		tmp = t_5;
	elseif (y3 <= 5.8e+165)
		tmp = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * t_1)));
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (k * y2) - (j * y3);
	t_2 = (a * y1) - (c * y0);
	t_3 = y3 * ((y * ((c * y4) - (a * y5))) + (z * t_2));
	t_4 = (t * j) - (y * k);
	t_5 = i * (((c * ((z * t) - (x * y))) - (y5 * t_4)) + (y1 * ((x * j) - (z * k))));
	tmp = 0.0;
	if (y3 <= -2.9e+113)
		tmp = t_3;
	elseif (y3 <= -2.6e-11)
		tmp = z * ((y3 * t_2) + (t * ((c * i) - (a * b))));
	elseif (y3 <= -4e-105)
		tmp = t_5;
	elseif (y3 <= -3.1e-163)
		tmp = y4 * (((b * t_4) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	elseif (y3 <= 4.8e-38)
		tmp = t_5;
	elseif (y3 <= 5.8e+165)
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * t_1));
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(i * N[(N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.9e+113], t$95$3, If[LessEqual[y3, -2.6e-11], N[(z * N[(N[(y3 * t$95$2), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4e-105], t$95$5, If[LessEqual[y3, -3.1e-163], N[(y4 * N[(N[(N[(b * t$95$4), $MachinePrecision] + N[(y1 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.8e-38], t$95$5, If[LessEqual[y3, 5.8e+165], N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y3 < -2.89999999999999984e113 or 5.80000000000000011e165 < y3

   1. Initial program 15.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 49.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in j around 0 56.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if -2.89999999999999984e113 < y3 < -2.6000000000000001e-11

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in z around -inf 44.4%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(\left(t \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - k \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   4. Taylor expanded in k around 0 56.2%

      \[\leadsto -1 \cdot \color{blue}{\left(z \cdot \left(t \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]

   if -2.6000000000000001e-11 < y3 < -3.99999999999999986e-105 or -3.09999999999999975e-163 < y3 < 4.80000000000000044e-38

   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 i around -inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if -3.99999999999999986e-105 < y3 < -3.09999999999999975e-163

   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 71.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 4.80000000000000044e-38 < y3 < 5.80000000000000011e165

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 25.0%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 25.0%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 25.0%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 63.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 58.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.9 \cdot 10^{+113}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{-11}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -4 \cdot 10^{-105}:\\ \;\;\;\;i \cdot \left(\left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -3.1 \cdot 10^{-163}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.8 \cdot 10^{-38}:\\ \;\;\;\;i \cdot \left(\left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 5.8 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 35.6% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -2.8 \cdot 10^{+173}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{+100}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -2.75 \cdot 10^{-5}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-64}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{-79}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;x \leq -7.2 \cdot 10^{-184}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+53}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -2.8e+173)
   (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))
   (if (<= x -1.1e+100)
     (* b (* y0 (- (* z k) (* x j))))
     (if (<= x -2.75e-5)
       (* b (* a (- (* x y) (* z t))))
       (if (<= x -5.6e-64)
         (* y3 (* y1 (- (* z a) (* j y4))))
         (if (<= x -1.2e-79)
           (* c (* i (- (* z t) (* x y))))
           (if (<= x -7.2e-184)
             (* b (* k (- (* z y0) (* y y4))))
             (if (<= x 1.05e+53)
               (* z (+ (* c (* t i)) (* y3 (- (* a y1) (* c y0)))))
               (* i (* x (- (* j y1) (* y c))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -2.8e+173) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (x <= -1.1e+100) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (x <= -2.75e-5) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (x <= -5.6e-64) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (x <= -1.2e-79) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (x <= -7.2e-184) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 1.05e+53) {
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	} else {
		tmp = i * (x * ((j * y1) - (y * c)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (x <= (-2.8d+173)) then
        tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    else if (x <= (-1.1d+100)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (x <= (-2.75d-5)) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (x <= (-5.6d-64)) then
        tmp = y3 * (y1 * ((z * a) - (j * y4)))
    else if (x <= (-1.2d-79)) then
        tmp = c * (i * ((z * t) - (x * y)))
    else if (x <= (-7.2d-184)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (x <= 1.05d+53) then
        tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))))
    else
        tmp = i * (x * ((j * y1) - (y * c)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -2.8e+173) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (x <= -1.1e+100) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (x <= -2.75e-5) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (x <= -5.6e-64) {
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	} else if (x <= -1.2e-79) {
		tmp = c * (i * ((z * t) - (x * y)));
	} else if (x <= -7.2e-184) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 1.05e+53) {
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	} else {
		tmp = i * (x * ((j * y1) - (y * 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 x <= -2.8e+173:
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	elif x <= -1.1e+100:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif x <= -2.75e-5:
		tmp = b * (a * ((x * y) - (z * t)))
	elif x <= -5.6e-64:
		tmp = y3 * (y1 * ((z * a) - (j * y4)))
	elif x <= -1.2e-79:
		tmp = c * (i * ((z * t) - (x * y)))
	elif x <= -7.2e-184:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif x <= 1.05e+53:
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))))
	else:
		tmp = i * (x * ((j * y1) - (y * 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 (x <= -2.8e+173)
		tmp = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))));
	elseif (x <= -1.1e+100)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (x <= -2.75e-5)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (x <= -5.6e-64)
		tmp = Float64(y3 * Float64(y1 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (x <= -1.2e-79)
		tmp = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))));
	elseif (x <= -7.2e-184)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (x <= 1.05e+53)
		tmp = Float64(z * Float64(Float64(c * Float64(t * i)) + Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0)))));
	else
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (x <= -2.8e+173)
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	elseif (x <= -1.1e+100)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (x <= -2.75e-5)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (x <= -5.6e-64)
		tmp = y3 * (y1 * ((z * a) - (j * y4)));
	elseif (x <= -1.2e-79)
		tmp = c * (i * ((z * t) - (x * y)));
	elseif (x <= -7.2e-184)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (x <= 1.05e+53)
		tmp = z * ((c * (t * i)) + (y3 * ((a * y1) - (c * y0))));
	else
		tmp = i * (x * ((j * y1) - (y * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[x, -2.8e+173], N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.1e+100], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.75e-5], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.6e-64], N[(y3 * N[(y1 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.2e-79], N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -7.2e-184], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.05e+53], N[(z * N[(N[(c * N[(t * i), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -2.79999999999999982e173

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 28.4%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 28.4%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 28.4%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in x around inf 60.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot y\right)\right)} \]

   if -2.79999999999999982e173 < x < -1.1e100

   1. Initial program 13.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 68.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.1e100 < x < -2.7500000000000001e-5

   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 b around inf 38.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 52.4%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.7500000000000001e-5 < x < -5.60000000000000008e-64

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 16.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 62.5%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(y1 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)}\right) \]

   if -5.60000000000000008e-64 < x < -1.20000000000000003e-79

   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 i around -inf 66.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in c around inf 66.8%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} \]

   if -1.20000000000000003e-79 < x < -7.2000000000000002e-184

   1. Initial program 43.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 54.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in k around -inf 53.4%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 53.4%

         \[\leadsto b \cdot \color{blue}{\left(-k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

   6. Simplified 53.4%

      \[\leadsto b \cdot \color{blue}{\left(-k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

   if -7.2000000000000002e-184 < x < 1.0500000000000001e53

   1. Initial program 28.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 36.6%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 36.6%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 36.6%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in z around -inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 42.8%

         \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]

   8. Simplified 42.8%

      \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]

   if 1.0500000000000001e53 < x

   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 42.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in x around inf 42.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 50.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.8 \cdot 10^{+173}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{+100}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -2.75 \cdot 10^{-5}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-64}:\\ \;\;\;\;y3 \cdot \left(y1 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{-79}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;x \leq -7.2 \cdot 10^{-184}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+53}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 35.9% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ \mathbf{if}\;x \leq -1.3 \cdot 10^{+173}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{+117}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{+17}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.85 \cdot 10^{-5}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{-100}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot t\_1\right)\\ \mathbf{elif}\;x \leq -1.32 \cdot 10^{-183}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3 \cdot 10^{+56}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot t\_1\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0))))
   (if (<= x -1.3e+173)
     (* x (- (* y2 (- (* c y0) (* a y1))) (* c (* y i))))
     (if (<= x -2.4e+117)
       (* b (+ (* a (- (* x y) (* z t))) (* y0 (- (* z k) (* x j)))))
       (if (<= x -2.1e+17)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= x -1.85e-5)
           (* y1 (* (* i k) (- z)))
           (if (<= x -2.4e-100)
             (* y3 (+ (* c (* y y4)) (* z t_1)))
             (if (<= x -1.32e-183)
               (* b (* k (- (* z y0) (* y y4))))
               (if (<= x 3e+56)
                 (* z (+ (* c (* t i)) (* y3 t_1)))
                 (* i (* x (- (* j y1) (* y c)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double tmp;
	if (x <= -1.3e+173) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (x <= -2.4e+117) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else if (x <= -2.1e+17) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (x <= -1.85e-5) {
		tmp = y1 * ((i * k) * -z);
	} else if (x <= -2.4e-100) {
		tmp = y3 * ((c * (y * y4)) + (z * t_1));
	} else if (x <= -1.32e-183) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 3e+56) {
		tmp = z * ((c * (t * i)) + (y3 * t_1));
	} else {
		tmp = i * (x * ((j * y1) - (y * c)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    if (x <= (-1.3d+173)) then
        tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
    else if (x <= (-2.4d+117)) then
        tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
    else if (x <= (-2.1d+17)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (x <= (-1.85d-5)) then
        tmp = y1 * ((i * k) * -z)
    else if (x <= (-2.4d-100)) then
        tmp = y3 * ((c * (y * y4)) + (z * t_1))
    else if (x <= (-1.32d-183)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (x <= 3d+56) then
        tmp = z * ((c * (t * i)) + (y3 * t_1))
    else
        tmp = i * (x * ((j * y1) - (y * c)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double tmp;
	if (x <= -1.3e+173) {
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	} else if (x <= -2.4e+117) {
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	} else if (x <= -2.1e+17) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (x <= -1.85e-5) {
		tmp = y1 * ((i * k) * -z);
	} else if (x <= -2.4e-100) {
		tmp = y3 * ((c * (y * y4)) + (z * t_1));
	} else if (x <= -1.32e-183) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 3e+56) {
		tmp = z * ((c * (t * i)) + (y3 * t_1));
	} else {
		tmp = i * (x * ((j * y1) - (y * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	tmp = 0
	if x <= -1.3e+173:
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)))
	elif x <= -2.4e+117:
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))))
	elif x <= -2.1e+17:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif x <= -1.85e-5:
		tmp = y1 * ((i * k) * -z)
	elif x <= -2.4e-100:
		tmp = y3 * ((c * (y * y4)) + (z * t_1))
	elif x <= -1.32e-183:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif x <= 3e+56:
		tmp = z * ((c * (t * i)) + (y3 * t_1))
	else:
		tmp = i * (x * ((j * y1) - (y * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	tmp = 0.0
	if (x <= -1.3e+173)
		tmp = Float64(x * Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(c * Float64(y * i))));
	elseif (x <= -2.4e+117)
		tmp = Float64(b * Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (x <= -2.1e+17)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (x <= -1.85e-5)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	elseif (x <= -2.4e-100)
		tmp = Float64(y3 * Float64(Float64(c * Float64(y * y4)) + Float64(z * t_1)));
	elseif (x <= -1.32e-183)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (x <= 3e+56)
		tmp = Float64(z * Float64(Float64(c * Float64(t * i)) + Float64(y3 * t_1)));
	else
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	tmp = 0.0;
	if (x <= -1.3e+173)
		tmp = x * ((y2 * ((c * y0) - (a * y1))) - (c * (y * i)));
	elseif (x <= -2.4e+117)
		tmp = b * ((a * ((x * y) - (z * t))) + (y0 * ((z * k) - (x * j))));
	elseif (x <= -2.1e+17)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (x <= -1.85e-5)
		tmp = y1 * ((i * k) * -z);
	elseif (x <= -2.4e-100)
		tmp = y3 * ((c * (y * y4)) + (z * t_1));
	elseif (x <= -1.32e-183)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (x <= 3e+56)
		tmp = z * ((c * (t * i)) + (y3 * t_1));
	else
		tmp = i * (x * ((j * y1) - (y * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.3e+173], N[(x * N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.4e+117], N[(b * N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.1e+17], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.85e-5], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.4e-100], N[(y3 * N[(N[(c * N[(y * y4), $MachinePrecision]), $MachinePrecision] + N[(z * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.32e-183], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3e+56], N[(z * N[(N[(c * N[(t * i), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -1.2999999999999999e173

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 28.4%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 28.4%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 28.4%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in x around inf 60.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot y\right)\right)} \]

   if -1.2999999999999999e173 < x < -2.3999999999999999e117

   1. Initial program 12.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 59.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around 0 65.4%

      \[\leadsto \color{blue}{b \cdot \left(a \cdot \left(x \cdot y - t \cdot z\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -2.3999999999999999e117 < x < -2.1e17

   1. Initial program 44.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in z around -inf 50.4%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(\left(t \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - k \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   4. Taylor expanded in c around inf 65.5%

      \[\leadsto -1 \cdot \left(z \cdot \color{blue}{\left(c \cdot \left(-1 \cdot \left(i \cdot t\right) + y0 \cdot y3\right)\right)}\right) \]
   5. Step-by-step derivation

      1. +-commutative 65.5%

         \[\leadsto -1 \cdot \left(z \cdot \left(c \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right)\right) \]

      2. mul-1-neg 65.5%

         \[\leadsto -1 \cdot \left(z \cdot \left(c \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right)\right) \]

      3. unsub-neg 65.5%

         \[\leadsto -1 \cdot \left(z \cdot \left(c \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right)\right) \]

      4. *-commutative 65.5%

         \[\leadsto -1 \cdot \left(z \cdot \left(c \cdot \left(\color{blue}{y3 \cdot y0} - i \cdot t\right)\right)\right) \]

   6. Simplified 65.5%

      \[\leadsto -1 \cdot \left(z \cdot \color{blue}{\left(c \cdot \left(y3 \cdot y0 - i \cdot t\right)\right)}\right) \]

   if -2.1e17 < x < -1.84999999999999991e-5

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 57.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 44.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.8%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 44.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 45.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 45.2%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 58.6%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 58.6%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 58.6%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 58.6%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 72.1%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 72.1%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 72.1%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if -1.84999999999999991e-5 < x < -2.4000000000000003e-100

   1. Initial program 36.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 16.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in j around 0 32.3%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   5. Taylor expanded in y5 around 0 48.0%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot y4\right)\right)\right)} \]

   if -2.4000000000000003e-100 < x < -1.3199999999999999e-183

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 61.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in k around -inf 59.9%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 59.9%

         \[\leadsto b \cdot \color{blue}{\left(-k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

   6. Simplified 59.9%

      \[\leadsto b \cdot \color{blue}{\left(-k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

   if -1.3199999999999999e-183 < x < 3.00000000000000006e56

   1. Initial program 28.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 36.6%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 36.6%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 36.6%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in z around -inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 42.8%

         \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]

   8. Simplified 42.8%

      \[\leadsto \color{blue}{-z \cdot \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(i \cdot t\right)\right)} \]

   if 3.00000000000000006e56 < x

   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 42.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in x around inf 42.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.3 \cdot 10^{+173}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - c \cdot \left(y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{+117}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{+17}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.85 \cdot 10^{-5}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{-100}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -1.32 \cdot 10^{-183}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3 \cdot 10^{+56}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 30.0% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ t_2 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;a \leq -4.2 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-194}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 5 \cdot 10^{-251}:\\ \;\;\;\;\left(z \cdot y1\right) \cdot \left(i \cdot \left(-k\right)\right)\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-163}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{-38}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+81}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+139}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{+172}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* i (- (* z t) (* x y)))))
        (t_2 (* b (* y0 (- (* z k) (* x j))))))
   (if (<= a -4.2e-68)
     (* b (* a (- (* x y) (* z t))))
     (if (<= a -8e-194)
       t_1
       (if (<= a 5e-251)
         (* (* z y1) (* i (- k)))
         (if (<= a 4.1e-163)
           t_1
           (if (<= a 4.2e-38)
             (* b (* y4 (- (* t j) (* y k))))
             (if (<= a 3e+81)
               t_2
               (if (<= a 5.8e+139)
                 (* j (* y0 (- (* y3 y5) (* x b))))
                 (if (<= a 6.5e+172)
                   t_2
                   (* y1 (* y2 (- (* k y4) (* x a))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (i * ((z * t) - (x * y)));
	double t_2 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (a <= -4.2e-68) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (a <= -8e-194) {
		tmp = t_1;
	} else if (a <= 5e-251) {
		tmp = (z * y1) * (i * -k);
	} else if (a <= 4.1e-163) {
		tmp = t_1;
	} else if (a <= 4.2e-38) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (a <= 3e+81) {
		tmp = t_2;
	} else if (a <= 5.8e+139) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (a <= 6.5e+172) {
		tmp = t_2;
	} else {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (i * ((z * t) - (x * y)))
    t_2 = b * (y0 * ((z * k) - (x * j)))
    if (a <= (-4.2d-68)) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (a <= (-8d-194)) then
        tmp = t_1
    else if (a <= 5d-251) then
        tmp = (z * y1) * (i * -k)
    else if (a <= 4.1d-163) then
        tmp = t_1
    else if (a <= 4.2d-38) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (a <= 3d+81) then
        tmp = t_2
    else if (a <= 5.8d+139) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (a <= 6.5d+172) then
        tmp = t_2
    else
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (i * ((z * t) - (x * y)));
	double t_2 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (a <= -4.2e-68) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (a <= -8e-194) {
		tmp = t_1;
	} else if (a <= 5e-251) {
		tmp = (z * y1) * (i * -k);
	} else if (a <= 4.1e-163) {
		tmp = t_1;
	} else if (a <= 4.2e-38) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (a <= 3e+81) {
		tmp = t_2;
	} else if (a <= 5.8e+139) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (a <= 6.5e+172) {
		tmp = t_2;
	} else {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (i * ((z * t) - (x * y)))
	t_2 = b * (y0 * ((z * k) - (x * j)))
	tmp = 0
	if a <= -4.2e-68:
		tmp = b * (a * ((x * y) - (z * t)))
	elif a <= -8e-194:
		tmp = t_1
	elif a <= 5e-251:
		tmp = (z * y1) * (i * -k)
	elif a <= 4.1e-163:
		tmp = t_1
	elif a <= 4.2e-38:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif a <= 3e+81:
		tmp = t_2
	elif a <= 5.8e+139:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif a <= 6.5e+172:
		tmp = t_2
	else:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))))
	t_2 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	tmp = 0.0
	if (a <= -4.2e-68)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (a <= -8e-194)
		tmp = t_1;
	elseif (a <= 5e-251)
		tmp = Float64(Float64(z * y1) * Float64(i * Float64(-k)));
	elseif (a <= 4.1e-163)
		tmp = t_1;
	elseif (a <= 4.2e-38)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (a <= 3e+81)
		tmp = t_2;
	elseif (a <= 5.8e+139)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (a <= 6.5e+172)
		tmp = t_2;
	else
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (i * ((z * t) - (x * y)));
	t_2 = b * (y0 * ((z * k) - (x * j)));
	tmp = 0.0;
	if (a <= -4.2e-68)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (a <= -8e-194)
		tmp = t_1;
	elseif (a <= 5e-251)
		tmp = (z * y1) * (i * -k);
	elseif (a <= 4.1e-163)
		tmp = t_1;
	elseif (a <= 4.2e-38)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (a <= 3e+81)
		tmp = t_2;
	elseif (a <= 5.8e+139)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (a <= 6.5e+172)
		tmp = t_2;
	else
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -4.2e-68], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8e-194], t$95$1, If[LessEqual[a, 5e-251], N[(N[(z * y1), $MachinePrecision] * N[(i * (-k)), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.1e-163], t$95$1, If[LessEqual[a, 4.2e-38], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3e+81], t$95$2, If[LessEqual[a, 5.8e+139], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.5e+172], t$95$2, N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -4.20000000000000016e-68

   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 b around inf 37.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 38.5%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -4.20000000000000016e-68 < a < -8.00000000000000014e-194 or 5.0000000000000003e-251 < a < 4.09999999999999982e-163

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 56.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in c around inf 64.1%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} \]

   if -8.00000000000000014e-194 < a < 5.0000000000000003e-251

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 39.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 43.2%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 43.2%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 43.2%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 40.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.0%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 43.0%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)} \]

   if 4.09999999999999982e-163 < a < 4.20000000000000026e-38

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 42.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 43.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 4.20000000000000026e-38 < a < 2.99999999999999997e81 or 5.7999999999999998e139 < a < 6.4999999999999997e172

   1. Initial program 21.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 29.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 50.7%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 2.99999999999999997e81 < a < 5.7999999999999998e139

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 62.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 52.8%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   if 6.4999999999999997e172 < a

   1. Initial program 9.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 9.5%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 9.5%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 9.5%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 57.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in y2 around inf 62.3%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. +-commutative 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      4. *-commutative 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

   9. Simplified 62.3%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(y4 \cdot k - a \cdot x\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.2 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-194}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 5 \cdot 10^{-251}:\\ \;\;\;\;\left(z \cdot y1\right) \cdot \left(i \cdot \left(-k\right)\right)\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-163}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{-38}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+81}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+139}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{+172}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 22.6% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{if}\;z \leq -5.2 \cdot 10^{+241}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;z \leq -5 \cdot 10^{+73}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-56}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq -6.2 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-196}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-9}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 8.8 \cdot 10^{+41}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (* y2 y4)))))
   (if (<= z -5.2e+241)
     (* y1 (* (* i k) (- z)))
     (if (<= z -5e+73)
       (* y3 (* a (* z y1)))
       (if (<= z -3.2e-56)
         t_1
         (if (<= z -6.2e-117)
           (* j (* (* y3 y4) (- y1)))
           (if (<= z 1.65e-196)
             t_1
             (if (<= z 1.1e-9)
               (* j (* y0 (* y3 y5)))
               (if (<= z 8.8e+41)
                 (* y1 (* (* x y2) (- a)))
                 (if (<= z 4.4e+135)
                   (* b (* z (* k y0)))
                   (* c (* (* z t) 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 = k * (y1 * (y2 * y4));
	double tmp;
	if (z <= -5.2e+241) {
		tmp = y1 * ((i * k) * -z);
	} else if (z <= -5e+73) {
		tmp = y3 * (a * (z * y1));
	} else if (z <= -3.2e-56) {
		tmp = t_1;
	} else if (z <= -6.2e-117) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (z <= 1.65e-196) {
		tmp = t_1;
	} else if (z <= 1.1e-9) {
		tmp = j * (y0 * (y3 * y5));
	} else if (z <= 8.8e+41) {
		tmp = y1 * ((x * y2) * -a);
	} else if (z <= 4.4e+135) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = c * ((z * t) * 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 = k * (y1 * (y2 * y4))
    if (z <= (-5.2d+241)) then
        tmp = y1 * ((i * k) * -z)
    else if (z <= (-5d+73)) then
        tmp = y3 * (a * (z * y1))
    else if (z <= (-3.2d-56)) then
        tmp = t_1
    else if (z <= (-6.2d-117)) then
        tmp = j * ((y3 * y4) * -y1)
    else if (z <= 1.65d-196) then
        tmp = t_1
    else if (z <= 1.1d-9) then
        tmp = j * (y0 * (y3 * y5))
    else if (z <= 8.8d+41) then
        tmp = y1 * ((x * y2) * -a)
    else if (z <= 4.4d+135) then
        tmp = b * (z * (k * y0))
    else
        tmp = c * ((z * t) * 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 = k * (y1 * (y2 * y4));
	double tmp;
	if (z <= -5.2e+241) {
		tmp = y1 * ((i * k) * -z);
	} else if (z <= -5e+73) {
		tmp = y3 * (a * (z * y1));
	} else if (z <= -3.2e-56) {
		tmp = t_1;
	} else if (z <= -6.2e-117) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (z <= 1.65e-196) {
		tmp = t_1;
	} else if (z <= 1.1e-9) {
		tmp = j * (y0 * (y3 * y5));
	} else if (z <= 8.8e+41) {
		tmp = y1 * ((x * y2) * -a);
	} else if (z <= 4.4e+135) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = c * ((z * t) * i);
	}
	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))
	tmp = 0
	if z <= -5.2e+241:
		tmp = y1 * ((i * k) * -z)
	elif z <= -5e+73:
		tmp = y3 * (a * (z * y1))
	elif z <= -3.2e-56:
		tmp = t_1
	elif z <= -6.2e-117:
		tmp = j * ((y3 * y4) * -y1)
	elif z <= 1.65e-196:
		tmp = t_1
	elif z <= 1.1e-9:
		tmp = j * (y0 * (y3 * y5))
	elif z <= 8.8e+41:
		tmp = y1 * ((x * y2) * -a)
	elif z <= 4.4e+135:
		tmp = b * (z * (k * y0))
	else:
		tmp = c * ((z * t) * 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(k * Float64(y1 * Float64(y2 * y4)))
	tmp = 0.0
	if (z <= -5.2e+241)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	elseif (z <= -5e+73)
		tmp = Float64(y3 * Float64(a * Float64(z * y1)));
	elseif (z <= -3.2e-56)
		tmp = t_1;
	elseif (z <= -6.2e-117)
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	elseif (z <= 1.65e-196)
		tmp = t_1;
	elseif (z <= 1.1e-9)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (z <= 8.8e+41)
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	elseif (z <= 4.4e+135)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	else
		tmp = Float64(c * Float64(Float64(z * t) * 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 = k * (y1 * (y2 * y4));
	tmp = 0.0;
	if (z <= -5.2e+241)
		tmp = y1 * ((i * k) * -z);
	elseif (z <= -5e+73)
		tmp = y3 * (a * (z * y1));
	elseif (z <= -3.2e-56)
		tmp = t_1;
	elseif (z <= -6.2e-117)
		tmp = j * ((y3 * y4) * -y1);
	elseif (z <= 1.65e-196)
		tmp = t_1;
	elseif (z <= 1.1e-9)
		tmp = j * (y0 * (y3 * y5));
	elseif (z <= 8.8e+41)
		tmp = y1 * ((x * y2) * -a);
	elseif (z <= 4.4e+135)
		tmp = b * (z * (k * y0));
	else
		tmp = c * ((z * t) * 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[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -5.2e+241], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -5e+73], N[(y3 * N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3.2e-56], t$95$1, If[LessEqual[z, -6.2e-117], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.65e-196], t$95$1, If[LessEqual[z, 1.1e-9], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 8.8e+41], N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.4e+135], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(z * t), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if z < -5.20000000000000015e241

   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 i around -inf 85.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 78.7%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 78.7%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 78.7%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 51.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 51.1%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 51.1%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 51.1%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 51.1%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 51.1%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 64.8%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 64.8%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 64.8%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if -5.20000000000000015e241 < z < -4.99999999999999976e73

   1. Initial program 23.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 31.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in j around 0 51.1%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.5%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right)\right)}\right) \]
   6. Step-by-step derivation

      1. associate-*r* 47.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(\left(-1 \cdot a\right) \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 47.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(\color{blue}{\left(-a\right)} \cdot \left(y1 \cdot z\right)\right)\right) \]

   7. Simplified 47.5%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(\left(-a\right) \cdot \left(y1 \cdot z\right)\right)}\right) \]

   if -4.99999999999999976e73 < z < -3.19999999999999986e-56 or -6.20000000000000022e-117 < z < 1.64999999999999999e-196

   1. Initial program 27.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 33.7%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 33.7%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.7%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 38.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 28.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 28.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 28.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if -3.19999999999999986e-56 < z < -6.20000000000000022e-117

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 13.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 13.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 13.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 32.5%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in j around inf 50.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 50.8%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 50.8%

         \[\leadsto \color{blue}{j \cdot \left(-y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. distribute-rgt-neg-in 50.8%

         \[\leadsto j \cdot \color{blue}{\left(y1 \cdot \left(-y3 \cdot y4\right)\right)} \]

      4. *-commutative 50.8%

         \[\leadsto j \cdot \left(y1 \cdot \left(-\color{blue}{y4 \cdot y3}\right)\right) \]

   9. Simplified 50.8%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-y4 \cdot y3\right)\right)} \]

   if 1.64999999999999999e-196 < z < 1.0999999999999999e-9

   1. Initial program 33.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 30.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 36.1%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   5. Taylor expanded in y3 around inf 28.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 28.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

   7. Simplified 28.0%

      \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

   if 1.0999999999999999e-9 < z < 8.79999999999999959e41

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 7.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 7.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 7.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 58.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in x around inf 57.7%

      \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 57.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y2\right)\right)} \]

      2. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(-\color{blue}{\left(x \cdot y2\right) \cdot a}\right) \]

      3. distribute-rgt-neg-in 57.7%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)} \]

      4. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y2 \cdot x\right)} \cdot \left(-a\right)\right) \]

   9. Simplified 57.7%

      \[\leadsto y1 \cdot \color{blue}{\left(\left(y2 \cdot x\right) \cdot \left(-a\right)\right)} \]

   if 8.79999999999999959e41 < z < 4.3999999999999999e135

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in z around -inf 43.0%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.0%

         \[\leadsto b \cdot \color{blue}{\left(-z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   6. Simplified 43.0%

      \[\leadsto b \cdot \color{blue}{\left(-z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   7. Taylor expanded in a around 0 38.5%

      \[\leadsto b \cdot \left(-\color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 38.5%

         \[\leadsto b \cdot \left(-\color{blue}{\left(-k \cdot \left(y0 \cdot z\right)\right)}\right) \]

      2. associate-*r* 38.6%

         \[\leadsto b \cdot \left(-\left(-\color{blue}{\left(k \cdot y0\right) \cdot z}\right)\right) \]

      3. distribute-rgt-neg-in 38.6%

         \[\leadsto b \cdot \left(-\color{blue}{\left(k \cdot y0\right) \cdot \left(-z\right)}\right) \]

   9. Simplified 38.6%

      \[\leadsto b \cdot \left(-\color{blue}{\left(k \cdot y0\right) \cdot \left(-z\right)}\right) \]

   if 4.3999999999999999e135 < z

   1. Initial program 23.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 39.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 57.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 57.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around inf 53.3%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(i \cdot \left(t \cdot z\right)\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 53.3%

         \[\leadsto -1 \cdot \color{blue}{\left(-c \cdot \left(i \cdot \left(t \cdot z\right)\right)\right)} \]

      2. *-commutative 53.3%

         \[\leadsto -1 \cdot \left(-\color{blue}{\left(i \cdot \left(t \cdot z\right)\right) \cdot c}\right) \]

      3. distribute-rgt-neg-in 53.3%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot \left(t \cdot z\right)\right) \cdot \left(-c\right)\right)} \]

      4. *-commutative 53.3%

         \[\leadsto -1 \cdot \left(\left(i \cdot \color{blue}{\left(z \cdot t\right)}\right) \cdot \left(-c\right)\right) \]

   9. Simplified 53.3%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot \left(z \cdot t\right)\right) \cdot \left(-c\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 40.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -5.2 \cdot 10^{+241}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;z \leq -5 \cdot 10^{+73}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-56}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -6.2 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-196}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-9}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 8.8 \cdot 10^{+41}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(z \cdot t\right) \cdot i\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 21.4% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;y \leq -4.3 \cdot 10^{-30}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-148}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-252}:\\ \;\;\;\;\left(z \cdot y1\right) \cdot \left(i \cdot \left(-k\right)\right)\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{-126}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y0 \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.55 \cdot 10^{-108}:\\ \;\;\;\;a \cdot \left(\left(z \cdot t\right) \cdot \left(-b\right)\right)\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{-51}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{+99}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= y -4.3e-30)
     t_1
     (if (<= y -4.2e-148)
       (* j (* (* y3 y4) (- y1)))
       (if (<= y 3.8e-252)
         (* (* z y1) (* i (- k)))
         (if (<= y 5.6e-126)
           (* y3 (* c (* y0 (- z))))
           (if (<= y 2.55e-108)
             (* a (* (* z t) (- b)))
             (if (<= y 2.1e-51)
               (* k (* y1 (* y2 y4)))
               (if (<= y 3.7e+99) (* y1 (* a (* z y3))) t_1)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (y <= -4.3e-30) {
		tmp = t_1;
	} else if (y <= -4.2e-148) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (y <= 3.8e-252) {
		tmp = (z * y1) * (i * -k);
	} else if (y <= 5.6e-126) {
		tmp = y3 * (c * (y0 * -z));
	} else if (y <= 2.55e-108) {
		tmp = a * ((z * t) * -b);
	} else if (y <= 2.1e-51) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y <= 3.7e+99) {
		tmp = y1 * (a * (z * y3));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (y <= (-4.3d-30)) then
        tmp = t_1
    else if (y <= (-4.2d-148)) then
        tmp = j * ((y3 * y4) * -y1)
    else if (y <= 3.8d-252) then
        tmp = (z * y1) * (i * -k)
    else if (y <= 5.6d-126) then
        tmp = y3 * (c * (y0 * -z))
    else if (y <= 2.55d-108) then
        tmp = a * ((z * t) * -b)
    else if (y <= 2.1d-51) then
        tmp = k * (y1 * (y2 * y4))
    else if (y <= 3.7d+99) then
        tmp = y1 * (a * (z * y3))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (y <= -4.3e-30) {
		tmp = t_1;
	} else if (y <= -4.2e-148) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (y <= 3.8e-252) {
		tmp = (z * y1) * (i * -k);
	} else if (y <= 5.6e-126) {
		tmp = y3 * (c * (y0 * -z));
	} else if (y <= 2.55e-108) {
		tmp = a * ((z * t) * -b);
	} else if (y <= 2.1e-51) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y <= 3.7e+99) {
		tmp = y1 * (a * (z * y3));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if y <= -4.3e-30:
		tmp = t_1
	elif y <= -4.2e-148:
		tmp = j * ((y3 * y4) * -y1)
	elif y <= 3.8e-252:
		tmp = (z * y1) * (i * -k)
	elif y <= 5.6e-126:
		tmp = y3 * (c * (y0 * -z))
	elif y <= 2.55e-108:
		tmp = a * ((z * t) * -b)
	elif y <= 2.1e-51:
		tmp = k * (y1 * (y2 * y4))
	elif y <= 3.7e+99:
		tmp = y1 * (a * (z * y3))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (y <= -4.3e-30)
		tmp = t_1;
	elseif (y <= -4.2e-148)
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	elseif (y <= 3.8e-252)
		tmp = Float64(Float64(z * y1) * Float64(i * Float64(-k)));
	elseif (y <= 5.6e-126)
		tmp = Float64(y3 * Float64(c * Float64(y0 * Float64(-z))));
	elseif (y <= 2.55e-108)
		tmp = Float64(a * Float64(Float64(z * t) * Float64(-b)));
	elseif (y <= 2.1e-51)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y <= 3.7e+99)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (y <= -4.3e-30)
		tmp = t_1;
	elseif (y <= -4.2e-148)
		tmp = j * ((y3 * y4) * -y1);
	elseif (y <= 3.8e-252)
		tmp = (z * y1) * (i * -k);
	elseif (y <= 5.6e-126)
		tmp = y3 * (c * (y0 * -z));
	elseif (y <= 2.55e-108)
		tmp = a * ((z * t) * -b);
	elseif (y <= 2.1e-51)
		tmp = k * (y1 * (y2 * y4));
	elseif (y <= 3.7e+99)
		tmp = y1 * (a * (z * y3));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -4.3e-30], t$95$1, If[LessEqual[y, -4.2e-148], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.8e-252], N[(N[(z * y1), $MachinePrecision] * N[(i * (-k)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.6e-126], N[(y3 * N[(c * N[(y0 * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.55e-108], N[(a * N[(N[(z * t), $MachinePrecision] * (-b)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.1e-51], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.7e+99], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -4.29999999999999966e-30 or 3.7000000000000001e99 < y

   1. Initial program 26.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 37.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 36.3%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

   if -4.29999999999999966e-30 < y < -4.2e-148

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 24.0%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 24.0%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 24.0%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 57.4%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in j around inf 34.1%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 34.1%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 34.1%

         \[\leadsto \color{blue}{j \cdot \left(-y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. distribute-rgt-neg-in 34.1%

         \[\leadsto j \cdot \color{blue}{\left(y1 \cdot \left(-y3 \cdot y4\right)\right)} \]

      4. *-commutative 34.1%

         \[\leadsto j \cdot \left(y1 \cdot \left(-\color{blue}{y4 \cdot y3}\right)\right) \]

   9. Simplified 34.1%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-y4 \cdot y3\right)\right)} \]

   if -4.2e-148 < y < 3.8e-252

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 47.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 47.5%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 47.5%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 47.5%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 33.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 35.2%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 35.2%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)} \]

   if 3.8e-252 < y < 5.59999999999999983e-126

   1. Initial program 21.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 22.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in j around 0 27.0%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   5. Taylor expanded in y0 around inf 31.5%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(c \cdot \left(y0 \cdot z\right)\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 31.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(\left(y0 \cdot z\right) \cdot c\right)}\right) \]

      2. *-commutative 31.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(\color{blue}{\left(z \cdot y0\right)} \cdot c\right)\right) \]

   7. Simplified 31.5%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(\left(z \cdot y0\right) \cdot c\right)}\right) \]

   if 5.59999999999999983e-126 < y < 2.5500000000000001e-108

   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 b around inf 50.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 68.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around 0 68.3%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 68.3%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. mul-1-neg 68.3%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(b \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 68.3%

         \[\leadsto \left(-a\right) \cdot \left(b \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   7. Simplified 68.3%

      \[\leadsto \color{blue}{\left(-a\right) \cdot \left(b \cdot \left(z \cdot t\right)\right)} \]

   if 2.5500000000000001e-108 < y < 2.10000000000000002e-51

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 33.3%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 33.3%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.3%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 41.1%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 41.1%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 41.1%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if 2.10000000000000002e-51 < y < 3.7000000000000001e99

   1. Initial program 24.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 20.7%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 20.7%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 20.7%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 55.5%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 39.6%

      \[\leadsto y1 \cdot \color{blue}{\left(a \cdot \left(y3 \cdot z\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 36.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -4.3 \cdot 10^{-30}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-148}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-252}:\\ \;\;\;\;\left(z \cdot y1\right) \cdot \left(i \cdot \left(-k\right)\right)\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{-126}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y0 \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.55 \cdot 10^{-108}:\\ \;\;\;\;a \cdot \left(\left(z \cdot t\right) \cdot \left(-b\right)\right)\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{-51}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{+99}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 22.3% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{if}\;z \leq -1.75 \cdot 10^{+74}:\\ \;\;\;\;i \cdot \left(\left(z \cdot y1\right) \cdot \left(-k\right)\right)\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-55}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-198}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-9}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 10^{+42}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (* y2 y4)))))
   (if (<= z -1.75e+74)
     (* i (* (* z y1) (- k)))
     (if (<= z -1.25e-55)
       t_1
       (if (<= z -1.1e-116)
         (* j (* (* y3 y4) (- y1)))
         (if (<= z 7.8e-198)
           t_1
           (if (<= z 6.5e-9)
             (* j (* y0 (* y3 y5)))
             (if (<= z 1e+42)
               (* y1 (* (* x y2) (- a)))
               (if (<= z 4.8e+135)
                 (* b (* z (* k y0)))
                 (* i (* z (* 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 = k * (y1 * (y2 * y4));
	double tmp;
	if (z <= -1.75e+74) {
		tmp = i * ((z * y1) * -k);
	} else if (z <= -1.25e-55) {
		tmp = t_1;
	} else if (z <= -1.1e-116) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (z <= 7.8e-198) {
		tmp = t_1;
	} else if (z <= 6.5e-9) {
		tmp = j * (y0 * (y3 * y5));
	} else if (z <= 1e+42) {
		tmp = y1 * ((x * y2) * -a);
	} else if (z <= 4.8e+135) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = i * (z * (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 = k * (y1 * (y2 * y4))
    if (z <= (-1.75d+74)) then
        tmp = i * ((z * y1) * -k)
    else if (z <= (-1.25d-55)) then
        tmp = t_1
    else if (z <= (-1.1d-116)) then
        tmp = j * ((y3 * y4) * -y1)
    else if (z <= 7.8d-198) then
        tmp = t_1
    else if (z <= 6.5d-9) then
        tmp = j * (y0 * (y3 * y5))
    else if (z <= 1d+42) then
        tmp = y1 * ((x * y2) * -a)
    else if (z <= 4.8d+135) then
        tmp = b * (z * (k * y0))
    else
        tmp = i * (z * (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 = k * (y1 * (y2 * y4));
	double tmp;
	if (z <= -1.75e+74) {
		tmp = i * ((z * y1) * -k);
	} else if (z <= -1.25e-55) {
		tmp = t_1;
	} else if (z <= -1.1e-116) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (z <= 7.8e-198) {
		tmp = t_1;
	} else if (z <= 6.5e-9) {
		tmp = j * (y0 * (y3 * y5));
	} else if (z <= 1e+42) {
		tmp = y1 * ((x * y2) * -a);
	} else if (z <= 4.8e+135) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = i * (z * (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 = k * (y1 * (y2 * y4))
	tmp = 0
	if z <= -1.75e+74:
		tmp = i * ((z * y1) * -k)
	elif z <= -1.25e-55:
		tmp = t_1
	elif z <= -1.1e-116:
		tmp = j * ((y3 * y4) * -y1)
	elif z <= 7.8e-198:
		tmp = t_1
	elif z <= 6.5e-9:
		tmp = j * (y0 * (y3 * y5))
	elif z <= 1e+42:
		tmp = y1 * ((x * y2) * -a)
	elif z <= 4.8e+135:
		tmp = b * (z * (k * y0))
	else:
		tmp = i * (z * (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(k * Float64(y1 * Float64(y2 * y4)))
	tmp = 0.0
	if (z <= -1.75e+74)
		tmp = Float64(i * Float64(Float64(z * y1) * Float64(-k)));
	elseif (z <= -1.25e-55)
		tmp = t_1;
	elseif (z <= -1.1e-116)
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	elseif (z <= 7.8e-198)
		tmp = t_1;
	elseif (z <= 6.5e-9)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (z <= 1e+42)
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	elseif (z <= 4.8e+135)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	else
		tmp = Float64(i * Float64(z * 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 = k * (y1 * (y2 * y4));
	tmp = 0.0;
	if (z <= -1.75e+74)
		tmp = i * ((z * y1) * -k);
	elseif (z <= -1.25e-55)
		tmp = t_1;
	elseif (z <= -1.1e-116)
		tmp = j * ((y3 * y4) * -y1);
	elseif (z <= 7.8e-198)
		tmp = t_1;
	elseif (z <= 6.5e-9)
		tmp = j * (y0 * (y3 * y5));
	elseif (z <= 1e+42)
		tmp = y1 * ((x * y2) * -a);
	elseif (z <= 4.8e+135)
		tmp = b * (z * (k * y0));
	else
		tmp = i * (z * (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[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1.75e+74], N[(i * N[(N[(z * y1), $MachinePrecision] * (-k)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.25e-55], t$95$1, If[LessEqual[z, -1.1e-116], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 7.8e-198], t$95$1, If[LessEqual[z, 6.5e-9], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1e+42], N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.8e+135], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(z * N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if z < -1.75000000000000007e74

   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 i around -inf 57.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 52.7%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 52.7%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 52.7%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 42.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]

   if -1.75000000000000007e74 < z < -1.25e-55 or -1.10000000000000005e-116 < z < 7.7999999999999998e-198

   1. Initial program 27.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 33.7%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 33.7%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.7%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 38.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 28.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 28.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 28.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if -1.25e-55 < z < -1.10000000000000005e-116

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 13.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 13.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 13.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 32.5%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in j around inf 50.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 50.8%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 50.8%

         \[\leadsto \color{blue}{j \cdot \left(-y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. distribute-rgt-neg-in 50.8%

         \[\leadsto j \cdot \color{blue}{\left(y1 \cdot \left(-y3 \cdot y4\right)\right)} \]

      4. *-commutative 50.8%

         \[\leadsto j \cdot \left(y1 \cdot \left(-\color{blue}{y4 \cdot y3}\right)\right) \]

   9. Simplified 50.8%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-y4 \cdot y3\right)\right)} \]

   if 7.7999999999999998e-198 < z < 6.5000000000000003e-9

   1. Initial program 33.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 30.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 36.1%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   5. Taylor expanded in y3 around inf 28.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 28.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

   7. Simplified 28.0%

      \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

   if 6.5000000000000003e-9 < z < 1.00000000000000004e42

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 7.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 7.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 7.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 58.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in x around inf 57.7%

      \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 57.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y2\right)\right)} \]

      2. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(-\color{blue}{\left(x \cdot y2\right) \cdot a}\right) \]

      3. distribute-rgt-neg-in 57.7%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)} \]

      4. *-commutative 57.7%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y2 \cdot x\right)} \cdot \left(-a\right)\right) \]

   9. Simplified 57.7%

      \[\leadsto y1 \cdot \color{blue}{\left(\left(y2 \cdot x\right) \cdot \left(-a\right)\right)} \]

   if 1.00000000000000004e42 < z < 4.79999999999999995e135

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in z around -inf 43.0%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.0%

         \[\leadsto b \cdot \color{blue}{\left(-z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   6. Simplified 43.0%

      \[\leadsto b \cdot \color{blue}{\left(-z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   7. Taylor expanded in a around 0 38.5%

      \[\leadsto b \cdot \left(-\color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 38.5%

         \[\leadsto b \cdot \left(-\color{blue}{\left(-k \cdot \left(y0 \cdot z\right)\right)}\right) \]

      2. associate-*r* 38.6%

         \[\leadsto b \cdot \left(-\left(-\color{blue}{\left(k \cdot y0\right) \cdot z}\right)\right) \]

      3. distribute-rgt-neg-in 38.6%

         \[\leadsto b \cdot \left(-\color{blue}{\left(k \cdot y0\right) \cdot \left(-z\right)}\right) \]

   9. Simplified 38.6%

      \[\leadsto b \cdot \left(-\color{blue}{\left(k \cdot y0\right) \cdot \left(-z\right)}\right) \]

   if 4.79999999999999995e135 < z

   1. Initial program 23.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 39.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 57.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 57.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around inf 48.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(c \cdot t\right)}\right)\right) \]
   8. Step-by-step derivation

      1. *-commutative 48.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   9. Simplified 48.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]
3. Recombined 7 regimes into one program.

4. Final simplification 38.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.75 \cdot 10^{+74}:\\ \;\;\;\;i \cdot \left(\left(z \cdot y1\right) \cdot \left(-k\right)\right)\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-55}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-198}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-9}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 10^{+42}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+135}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 27.0% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{if}\;y2 \leq -2.25 \cdot 10^{+192}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -1.25 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 7.2 \cdot 10^{-182}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 5.2 \cdot 10^{+40}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{+180}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

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)))))
   (if (<= y2 -2.25e+192)
     t_1
     (if (<= y2 -1.25e+39)
       (* b (* y0 (- (* z k) (* x j))))
       (if (<= y2 7.2e-182)
         (* b (* a (- (* x y) (* z t))))
         (if (<= y2 1.5e-70)
           (* a (* y1 (* z y3)))
           (if (<= y2 5.2e+40)
             (* y1 (* (* i k) (- z)))
             (if (<= y2 1.5e+180) (* b (* x (- (* y a) (* j y0)))) 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));
	double tmp;
	if (y2 <= -2.25e+192) {
		tmp = t_1;
	} else if (y2 <= -1.25e+39) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= 7.2e-182) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (y2 <= 1.5e-70) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 5.2e+40) {
		tmp = y1 * ((i * k) * -z);
	} else if (y2 <= 1.5e+180) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} 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))
    if (y2 <= (-2.25d+192)) then
        tmp = t_1
    else if (y2 <= (-1.25d+39)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y2 <= 7.2d-182) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (y2 <= 1.5d-70) then
        tmp = a * (y1 * (z * y3))
    else if (y2 <= 5.2d+40) then
        tmp = y1 * ((i * k) * -z)
    else if (y2 <= 1.5d+180) then
        tmp = b * (x * ((y * a) - (j * y0)))
    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));
	double tmp;
	if (y2 <= -2.25e+192) {
		tmp = t_1;
	} else if (y2 <= -1.25e+39) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= 7.2e-182) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (y2 <= 1.5e-70) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 5.2e+40) {
		tmp = y1 * ((i * k) * -z);
	} else if (y2 <= 1.5e+180) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} 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))
	tmp = 0
	if y2 <= -2.25e+192:
		tmp = t_1
	elif y2 <= -1.25e+39:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y2 <= 7.2e-182:
		tmp = b * (a * ((x * y) - (z * t)))
	elif y2 <= 1.5e-70:
		tmp = a * (y1 * (z * y3))
	elif y2 <= 5.2e+40:
		tmp = y1 * ((i * k) * -z)
	elif y2 <= 1.5e+180:
		tmp = b * (x * ((y * a) - (j * y0)))
	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(y2 * y4)))
	tmp = 0.0
	if (y2 <= -2.25e+192)
		tmp = t_1;
	elseif (y2 <= -1.25e+39)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y2 <= 7.2e-182)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= 1.5e-70)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y2 <= 5.2e+40)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	elseif (y2 <= 1.5e+180)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	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));
	tmp = 0.0;
	if (y2 <= -2.25e+192)
		tmp = t_1;
	elseif (y2 <= -1.25e+39)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y2 <= 7.2e-182)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (y2 <= 1.5e-70)
		tmp = a * (y1 * (z * y3));
	elseif (y2 <= 5.2e+40)
		tmp = y1 * ((i * k) * -z);
	elseif (y2 <= 1.5e+180)
		tmp = b * (x * ((y * a) - (j * y0)));
	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[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -2.25e+192], t$95$1, If[LessEqual[y2, -1.25e+39], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.2e-182], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.5e-70], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.2e+40], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.5e+180], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -2.25e192 or 1.50000000000000001e180 < y2

   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 c around inf 22.8%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 22.8%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 22.8%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 46.4%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 46.4%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if -2.25e192 < y2 < -1.25000000000000004e39

   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 b around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 55.1%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.25000000000000004e39 < y2 < 7.19999999999999954e-182

   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 b around inf 39.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 37.1%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 7.19999999999999954e-182 < y2 < 1.5000000000000001e-70

   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 c around inf 28.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 28.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 28.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 50.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if 1.5000000000000001e-70 < y2 < 5.2000000000000001e40

   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 i around -inf 46.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 46.9%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 46.9%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 46.9%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 30.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 30.1%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 30.0%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 30.0%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 30.0%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 30.0%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 34.6%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 34.6%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 34.6%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if 5.2000000000000001e40 < y2 < 1.50000000000000001e180

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 46.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 42.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.25 \cdot 10^{+192}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.25 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 7.2 \cdot 10^{-182}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 5.2 \cdot 10^{+40}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{+180}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 27.6% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{if}\;y2 \leq -4.7 \cdot 10^{+191}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -6 \cdot 10^{+38}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -8 \cdot 10^{-12}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-38}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 4300000000000:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 7.5 \cdot 10^{+178}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k))))))
   (if (<= y2 -4.7e+191)
     t_1
     (if (<= y2 -6e+38)
       (* b (* y0 (- (* z k) (* x j))))
       (if (<= y2 -8e-12)
         t_1
         (if (<= y2 -2.2e-38)
           (* i (* z (* t c)))
           (if (<= y2 4300000000000.0)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y2 7.5e+178)
               (* b (* x (- (* y a) (* j y0))))
               (* k (* y1 (* y2 y4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double tmp;
	if (y2 <= -4.7e+191) {
		tmp = t_1;
	} else if (y2 <= -6e+38) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -8e-12) {
		tmp = t_1;
	} else if (y2 <= -2.2e-38) {
		tmp = i * (z * (t * c));
	} else if (y2 <= 4300000000000.0) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= 7.5e+178) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = k * (y1 * (y2 * 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) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    if (y2 <= (-4.7d+191)) then
        tmp = t_1
    else if (y2 <= (-6d+38)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y2 <= (-8d-12)) then
        tmp = t_1
    else if (y2 <= (-2.2d-38)) then
        tmp = i * (z * (t * c))
    else if (y2 <= 4300000000000.0d0) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y2 <= 7.5d+178) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else
        tmp = k * (y1 * (y2 * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double tmp;
	if (y2 <= -4.7e+191) {
		tmp = t_1;
	} else if (y2 <= -6e+38) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -8e-12) {
		tmp = t_1;
	} else if (y2 <= -2.2e-38) {
		tmp = i * (z * (t * c));
	} else if (y2 <= 4300000000000.0) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= 7.5e+178) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = k * (y1 * (y2 * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	tmp = 0
	if y2 <= -4.7e+191:
		tmp = t_1
	elif y2 <= -6e+38:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y2 <= -8e-12:
		tmp = t_1
	elif y2 <= -2.2e-38:
		tmp = i * (z * (t * c))
	elif y2 <= 4300000000000.0:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y2 <= 7.5e+178:
		tmp = b * (x * ((y * a) - (j * y0)))
	else:
		tmp = k * (y1 * (y2 * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	tmp = 0.0
	if (y2 <= -4.7e+191)
		tmp = t_1;
	elseif (y2 <= -6e+38)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y2 <= -8e-12)
		tmp = t_1;
	elseif (y2 <= -2.2e-38)
		tmp = Float64(i * Float64(z * Float64(t * c)));
	elseif (y2 <= 4300000000000.0)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= 7.5e+178)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	else
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	tmp = 0.0;
	if (y2 <= -4.7e+191)
		tmp = t_1;
	elseif (y2 <= -6e+38)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y2 <= -8e-12)
		tmp = t_1;
	elseif (y2 <= -2.2e-38)
		tmp = i * (z * (t * c));
	elseif (y2 <= 4300000000000.0)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y2 <= 7.5e+178)
		tmp = b * (x * ((y * a) - (j * y0)));
	else
		tmp = k * (y1 * (y2 * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.7e+191], t$95$1, If[LessEqual[y2, -6e+38], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8e-12], t$95$1, If[LessEqual[y2, -2.2e-38], N[(i * N[(z * N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4300000000000.0], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.5e+178], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -4.7000000000000001e191 or -6.0000000000000002e38 < y2 < -7.99999999999999984e-12

   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 b around inf 49.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 54.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -4.7000000000000001e191 < y2 < -6.0000000000000002e38

   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 b around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 55.1%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -7.99999999999999984e-12 < y2 < -2.20000000000000007e-38

   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 i around -inf 33.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 66.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 66.8%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 66.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around inf 67.2%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(c \cdot t\right)}\right)\right) \]
   8. Step-by-step derivation

      1. *-commutative 67.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   9. Simplified 67.2%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   if -2.20000000000000007e-38 < y2 < 4.3e12

   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 b around inf 30.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 35.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 4.3e12 < y2 < 7.4999999999999995e178

   1. Initial program 14.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 36.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 42.6%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 7.4999999999999995e178 < y2

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 21.9%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.9%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.9%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 44.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 44.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.7 \cdot 10^{+191}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -6 \cdot 10^{+38}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -8 \cdot 10^{-12}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-38}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 4300000000000:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 7.5 \cdot 10^{+178}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 31.2% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{if}\;j \leq -1.75 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{+79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.04 \cdot 10^{+24}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -1.45 \cdot 10^{-38}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-180}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{+144}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* i (- (* z t) (* x y))))))
   (if (<= j -1.75e+193)
     (* i (* j (- (* x y1) (* t y5))))
     (if (<= j -2.3e+79)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= j -1.04e+24)
         t_1
         (if (<= j -1.45e-38)
           (* b (* k (- (* z y0) (* y y4))))
           (if (<= j -6e-180)
             (* y3 (* z (- (* a y1) (* c y0))))
             (if (<= j 3.8e+144) t_1 (* j (* y0 (- (* y3 y5) (* 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 t_1 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (j <= -1.75e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -2.3e+79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -1.04e+24) {
		tmp = t_1;
	} else if (j <= -1.45e-38) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (j <= -6e-180) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (j <= 3.8e+144) {
		tmp = t_1;
	} else {
		tmp = j * (y0 * ((y3 * y5) - (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) :: t_1
    real(8) :: tmp
    t_1 = c * (i * ((z * t) - (x * y)))
    if (j <= (-1.75d+193)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (j <= (-2.3d+79)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (j <= (-1.04d+24)) then
        tmp = t_1
    else if (j <= (-1.45d-38)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (j <= (-6d-180)) then
        tmp = y3 * (z * ((a * y1) - (c * y0)))
    else if (j <= 3.8d+144) then
        tmp = t_1
    else
        tmp = j * (y0 * ((y3 * y5) - (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 t_1 = c * (i * ((z * t) - (x * y)));
	double tmp;
	if (j <= -1.75e+193) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (j <= -2.3e+79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= -1.04e+24) {
		tmp = t_1;
	} else if (j <= -1.45e-38) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (j <= -6e-180) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (j <= 3.8e+144) {
		tmp = t_1;
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (i * ((z * t) - (x * y)))
	tmp = 0
	if j <= -1.75e+193:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif j <= -2.3e+79:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif j <= -1.04e+24:
		tmp = t_1
	elif j <= -1.45e-38:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif j <= -6e-180:
		tmp = y3 * (z * ((a * y1) - (c * y0)))
	elif j <= 3.8e+144:
		tmp = t_1
	else:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(i * Float64(Float64(z * t) - Float64(x * y))))
	tmp = 0.0
	if (j <= -1.75e+193)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (j <= -2.3e+79)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (j <= -1.04e+24)
		tmp = t_1;
	elseif (j <= -1.45e-38)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (j <= -6e-180)
		tmp = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (j <= 3.8e+144)
		tmp = t_1;
	else
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - 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)
	t_1 = c * (i * ((z * t) - (x * y)));
	tmp = 0.0;
	if (j <= -1.75e+193)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (j <= -2.3e+79)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (j <= -1.04e+24)
		tmp = t_1;
	elseif (j <= -1.45e-38)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (j <= -6e-180)
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	elseif (j <= 3.8e+144)
		tmp = t_1;
	else
		tmp = j * (y0 * ((y3 * y5) - (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_] := Block[{t$95$1 = N[(c * N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.75e+193], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.3e+79], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.04e+24], t$95$1, If[LessEqual[j, -1.45e-38], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -6e-180], N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.8e+144], t$95$1, N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -1.75000000000000007e193

   1. Initial program 12.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 58.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in i around -inf 64.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 64.8%

         \[\leadsto \color{blue}{-i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   6. Simplified 64.8%

      \[\leadsto \color{blue}{-i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   if -1.75000000000000007e193 < j < -2.3e79

   1. Initial program 23.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 46.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 58.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -2.3e79 < j < -1.03999999999999997e24 or -6.0000000000000001e-180 < j < 3.80000000000000026e144

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 42.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in c around inf 39.9%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} \]

   if -1.03999999999999997e24 < j < -1.44999999999999997e-38

   1. Initial program 40.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 60.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in k around -inf 53.7%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 53.7%

         \[\leadsto b \cdot \color{blue}{\left(-k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

   6. Simplified 53.7%

      \[\leadsto b \cdot \color{blue}{\left(-k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

   if -1.44999999999999997e-38 < j < -6.0000000000000001e-180

   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 y3 around -inf 34.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in z around inf 42.1%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]

   if 3.80000000000000026e144 < j

   1. Initial program 11.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 58.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 65.3%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 49.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.75 \cdot 10^{+193}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{+79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.04 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq -1.45 \cdot 10^{-38}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-180}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 37.4% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{if}\;i \leq -5.7 \cdot 10^{+130}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{elif}\;i \leq -5 \cdot 10^{-135}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -4.8 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 2.95 \cdot 10^{+116}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (* y1 (+ (* a (- (* z y3) (* x y2))) (* y4 (- (* k y2) (* j y3)))))))
   (if (<= i -5.7e+130)
     (* i (* z (* t (- c (* k (/ y1 t))))))
     (if (<= i -5e-135)
       t_1
       (if (<= i -4.8e-297)
         (* j (* y0 (- (* y3 y5) (* x b))))
         (if (<= i 2.95e+116)
           t_1
           (* i (+ (* y1 (- (* x j) (* z k))) (* c (- (* z t) (* x y)))))))))))

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 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))));
	double tmp;
	if (i <= -5.7e+130) {
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	} else if (i <= -5e-135) {
		tmp = t_1;
	} else if (i <= -4.8e-297) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (i <= 2.95e+116) {
		tmp = t_1;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))))
    if (i <= (-5.7d+130)) then
        tmp = i * (z * (t * (c - (k * (y1 / t)))))
    else if (i <= (-5d-135)) then
        tmp = t_1
    else if (i <= (-4.8d-297)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (i <= 2.95d+116) then
        tmp = t_1
    else
        tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
    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 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))));
	double tmp;
	if (i <= -5.7e+130) {
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	} else if (i <= -5e-135) {
		tmp = t_1;
	} else if (i <= -4.8e-297) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (i <= 2.95e+116) {
		tmp = t_1;
	} else {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y1 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))))
	tmp = 0
	if i <= -5.7e+130:
		tmp = i * (z * (t * (c - (k * (y1 / t)))))
	elif i <= -5e-135:
		tmp = t_1
	elif i <= -4.8e-297:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif i <= 2.95e+116:
		tmp = t_1
	else:
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))))
	tmp = 0.0
	if (i <= -5.7e+130)
		tmp = Float64(i * Float64(z * Float64(t * Float64(c - Float64(k * Float64(y1 / t))))));
	elseif (i <= -5e-135)
		tmp = t_1;
	elseif (i <= -4.8e-297)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (i <= 2.95e+116)
		tmp = t_1;
	else
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(c * Float64(Float64(z * t) - Float64(x * y)))));
	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 * ((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3))));
	tmp = 0.0;
	if (i <= -5.7e+130)
		tmp = i * (z * (t * (c - (k * (y1 / t)))));
	elseif (i <= -5e-135)
		tmp = t_1;
	elseif (i <= -4.8e-297)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (i <= 2.95e+116)
		tmp = t_1;
	else
		tmp = i * ((y1 * ((x * j) - (z * k))) + (c * ((z * t) - (x * y))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -5.7e+130], N[(i * N[(z * N[(t * N[(c - N[(k * N[(y1 / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -5e-135], t$95$1, If[LessEqual[i, -4.8e-297], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.95e+116], t$95$1, N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if i < -5.7e130

   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 i around -inf 54.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 48.1%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 48.1%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 48.1%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in t around inf 51.2%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot \left(c + -1 \cdot \frac{k \cdot y1}{t}\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 51.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \left(t \cdot \left(c + \color{blue}{\left(-\frac{k \cdot y1}{t}\right)}\right)\right)\right)\right) \]

      2. unsub-neg 51.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \left(t \cdot \color{blue}{\left(c - \frac{k \cdot y1}{t}\right)}\right)\right)\right) \]

      3. associate-/l* 54.6%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \left(t \cdot \left(c - \color{blue}{k \cdot \frac{y1}{t}}\right)\right)\right)\right) \]

   9. Simplified 54.6%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)}\right)\right) \]

   if -5.7e130 < i < -5.0000000000000002e-135 or -4.7999999999999999e-297 < i < 2.95e116

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 27.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 27.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 27.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 48.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   if -5.0000000000000002e-135 < i < -4.7999999999999999e-297

   1. Initial program 30.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 43.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 48.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   if 2.95e116 < i

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 60.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 57.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 51.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -5.7 \cdot 10^{+130}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot \left(c - k \cdot \frac{y1}{t}\right)\right)\right)\\ \mathbf{elif}\;i \leq -5 \cdot 10^{-135}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq -4.8 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 2.95 \cdot 10^{+116}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 19.7% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;j \leq -1.46 \cdot 10^{+158}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{+24}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -3.45 \cdot 10^{-161}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 10^{+18}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{+216}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= j -1.46e+158)
   (* j (* (* y3 y4) (- y1)))
   (if (<= j -1.55e+24)
     (* k (* y1 (* y2 y4)))
     (if (<= j -3.45e-161)
       (* y3 (* a (* z y1)))
       (if (<= j 7.5e-196)
         (* b (* z (* k y0)))
         (if (<= j 1e+18)
           (* y1 (* a (* z y3)))
           (if (<= j 3.6e+216)
             (* i (* z (* t c)))
             (* b (* j (* 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 tmp;
	if (j <= -1.46e+158) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (j <= -1.55e+24) {
		tmp = k * (y1 * (y2 * y4));
	} else if (j <= -3.45e-161) {
		tmp = y3 * (a * (z * y1));
	} else if (j <= 7.5e-196) {
		tmp = b * (z * (k * y0));
	} else if (j <= 1e+18) {
		tmp = y1 * (a * (z * y3));
	} else if (j <= 3.6e+216) {
		tmp = i * (z * (t * c));
	} else {
		tmp = b * (j * (x * -y0));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (j <= (-1.46d+158)) then
        tmp = j * ((y3 * y4) * -y1)
    else if (j <= (-1.55d+24)) then
        tmp = k * (y1 * (y2 * y4))
    else if (j <= (-3.45d-161)) then
        tmp = y3 * (a * (z * y1))
    else if (j <= 7.5d-196) then
        tmp = b * (z * (k * y0))
    else if (j <= 1d+18) then
        tmp = y1 * (a * (z * y3))
    else if (j <= 3.6d+216) then
        tmp = i * (z * (t * c))
    else
        tmp = b * (j * (x * -y0))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -1.46e+158) {
		tmp = j * ((y3 * y4) * -y1);
	} else if (j <= -1.55e+24) {
		tmp = k * (y1 * (y2 * y4));
	} else if (j <= -3.45e-161) {
		tmp = y3 * (a * (z * y1));
	} else if (j <= 7.5e-196) {
		tmp = b * (z * (k * y0));
	} else if (j <= 1e+18) {
		tmp = y1 * (a * (z * y3));
	} else if (j <= 3.6e+216) {
		tmp = i * (z * (t * c));
	} else {
		tmp = b * (j * (x * -y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if j <= -1.46e+158:
		tmp = j * ((y3 * y4) * -y1)
	elif j <= -1.55e+24:
		tmp = k * (y1 * (y2 * y4))
	elif j <= -3.45e-161:
		tmp = y3 * (a * (z * y1))
	elif j <= 7.5e-196:
		tmp = b * (z * (k * y0))
	elif j <= 1e+18:
		tmp = y1 * (a * (z * y3))
	elif j <= 3.6e+216:
		tmp = i * (z * (t * c))
	else:
		tmp = b * (j * (x * -y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (j <= -1.46e+158)
		tmp = Float64(j * Float64(Float64(y3 * y4) * Float64(-y1)));
	elseif (j <= -1.55e+24)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (j <= -3.45e-161)
		tmp = Float64(y3 * Float64(a * Float64(z * y1)));
	elseif (j <= 7.5e-196)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (j <= 1e+18)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (j <= 3.6e+216)
		tmp = Float64(i * Float64(z * Float64(t * c)));
	else
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (j <= -1.46e+158)
		tmp = j * ((y3 * y4) * -y1);
	elseif (j <= -1.55e+24)
		tmp = k * (y1 * (y2 * y4));
	elseif (j <= -3.45e-161)
		tmp = y3 * (a * (z * y1));
	elseif (j <= 7.5e-196)
		tmp = b * (z * (k * y0));
	elseif (j <= 1e+18)
		tmp = y1 * (a * (z * y3));
	elseif (j <= 3.6e+216)
		tmp = i * (z * (t * c));
	else
		tmp = b * (j * (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_] := If[LessEqual[j, -1.46e+158], N[(j * N[(N[(y3 * y4), $MachinePrecision] * (-y1)), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.55e+24], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -3.45e-161], N[(y3 * N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 7.5e-196], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1e+18], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.6e+216], N[(i * N[(z * N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if j < -1.4599999999999999e158

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 16.8%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 16.8%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 16.8%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 34.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in j around inf 37.3%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 37.3%

         \[\leadsto \color{blue}{-j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 37.3%

         \[\leadsto \color{blue}{j \cdot \left(-y1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. distribute-rgt-neg-in 37.3%

         \[\leadsto j \cdot \color{blue}{\left(y1 \cdot \left(-y3 \cdot y4\right)\right)} \]

      4. *-commutative 37.3%

         \[\leadsto j \cdot \left(y1 \cdot \left(-\color{blue}{y4 \cdot y3}\right)\right) \]

   9. Simplified 37.3%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-y4 \cdot y3\right)\right)} \]

   if -1.4599999999999999e158 < j < -1.55000000000000005e24

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 31.2%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 31.2%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 31.2%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 48.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 39.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 39.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 39.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if -1.55000000000000005e24 < j < -3.45000000000000001e-161

   1. Initial program 39.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 36.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in j around 0 46.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   5. Taylor expanded in y1 around inf 31.8%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right)\right)}\right) \]
   6. Step-by-step derivation

      1. associate-*r* 31.8%

         \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(\left(-1 \cdot a\right) \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 31.8%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(\color{blue}{\left(-a\right)} \cdot \left(y1 \cdot z\right)\right)\right) \]

   7. Simplified 31.8%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(\left(-a\right) \cdot \left(y1 \cdot z\right)\right)}\right) \]

   if -3.45000000000000001e-161 < j < 7.5e-196

   1. Initial program 40.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 43.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in z around -inf 40.9%

      \[\leadsto b \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.9%

         \[\leadsto b \cdot \color{blue}{\left(-z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   6. Simplified 40.9%

      \[\leadsto b \cdot \color{blue}{\left(-z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   7. Taylor expanded in a around 0 25.8%

      \[\leadsto b \cdot \left(-\color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 25.8%

         \[\leadsto b \cdot \left(-\color{blue}{\left(-k \cdot \left(y0 \cdot z\right)\right)}\right) \]

      2. associate-*r* 28.0%

         \[\leadsto b \cdot \left(-\left(-\color{blue}{\left(k \cdot y0\right) \cdot z}\right)\right) \]

      3. distribute-rgt-neg-in 28.0%

         \[\leadsto b \cdot \left(-\color{blue}{\left(k \cdot y0\right) \cdot \left(-z\right)}\right) \]

   9. Simplified 28.0%

      \[\leadsto b \cdot \left(-\color{blue}{\left(k \cdot y0\right) \cdot \left(-z\right)}\right) \]

   if 7.5e-196 < j < 1e18

   1. Initial program 29.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 35.0%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 35.0%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 35.0%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 51.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 38.0%

      \[\leadsto y1 \cdot \color{blue}{\left(a \cdot \left(y3 \cdot z\right)\right)} \]

   if 1e18 < j < 3.6000000000000002e216

   1. Initial program 9.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 33.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 46.3%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 46.3%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around inf 40.4%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(c \cdot t\right)}\right)\right) \]
   8. Step-by-step derivation

      1. *-commutative 40.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   9. Simplified 40.4%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   if 3.6000000000000002e216 < j

   1. Initial program 9.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 68.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 68.8%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   5. Taylor expanded in y3 around 0 55.4%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 55.4%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(j \cdot \left(x \cdot y0\right)\right)} \]

      2. neg-mul-1 55.4%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(j \cdot \left(x \cdot y0\right)\right) \]

      3. *-commutative 55.4%

         \[\leadsto \left(-b\right) \cdot \color{blue}{\left(\left(x \cdot y0\right) \cdot j\right)} \]

      4. *-commutative 55.4%

         \[\leadsto \left(-b\right) \cdot \left(\color{blue}{\left(y0 \cdot x\right)} \cdot j\right) \]

   7. Simplified 55.4%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(\left(y0 \cdot x\right) \cdot j\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 37.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.46 \cdot 10^{+158}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot y4\right) \cdot \left(-y1\right)\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{+24}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -3.45 \cdot 10^{-161}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 10^{+18}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{+216}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 26.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;y2 \leq -1.8 \cdot 10^{+39}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-183}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{+18}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+180}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= y2 -1.8e+39)
     t_1
     (if (<= y2 1.7e-183)
       (* b (* a (- (* x y) (* z t))))
       (if (<= y2 1.45e-70)
         (* a (* y1 (* z y3)))
         (if (<= y2 1.7e+18)
           (* y1 (* (* i k) (- z)))
           (if (<= y2 2.1e+180) t_1 (* k (* y1 (* y2 y4))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y2 <= -1.8e+39) {
		tmp = t_1;
	} else if (y2 <= 1.7e-183) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (y2 <= 1.45e-70) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 1.7e+18) {
		tmp = y1 * ((i * k) * -z);
	} else if (y2 <= 2.1e+180) {
		tmp = t_1;
	} else {
		tmp = k * (y1 * (y2 * 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) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (y2 <= (-1.8d+39)) then
        tmp = t_1
    else if (y2 <= 1.7d-183) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (y2 <= 1.45d-70) then
        tmp = a * (y1 * (z * y3))
    else if (y2 <= 1.7d+18) then
        tmp = y1 * ((i * k) * -z)
    else if (y2 <= 2.1d+180) then
        tmp = t_1
    else
        tmp = k * (y1 * (y2 * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y2 <= -1.8e+39) {
		tmp = t_1;
	} else if (y2 <= 1.7e-183) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (y2 <= 1.45e-70) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 1.7e+18) {
		tmp = y1 * ((i * k) * -z);
	} else if (y2 <= 2.1e+180) {
		tmp = t_1;
	} else {
		tmp = k * (y1 * (y2 * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if y2 <= -1.8e+39:
		tmp = t_1
	elif y2 <= 1.7e-183:
		tmp = b * (a * ((x * y) - (z * t)))
	elif y2 <= 1.45e-70:
		tmp = a * (y1 * (z * y3))
	elif y2 <= 1.7e+18:
		tmp = y1 * ((i * k) * -z)
	elif y2 <= 2.1e+180:
		tmp = t_1
	else:
		tmp = k * (y1 * (y2 * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (y2 <= -1.8e+39)
		tmp = t_1;
	elseif (y2 <= 1.7e-183)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= 1.45e-70)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y2 <= 1.7e+18)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	elseif (y2 <= 2.1e+180)
		tmp = t_1;
	else
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (y2 <= -1.8e+39)
		tmp = t_1;
	elseif (y2 <= 1.7e-183)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (y2 <= 1.45e-70)
		tmp = a * (y1 * (z * y3));
	elseif (y2 <= 1.7e+18)
		tmp = y1 * ((i * k) * -z);
	elseif (y2 <= 2.1e+180)
		tmp = t_1;
	else
		tmp = k * (y1 * (y2 * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.8e+39], t$95$1, If[LessEqual[y2, 1.7e-183], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.45e-70], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.7e+18], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.1e+180], t$95$1, N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -1.79999999999999992e39 or 1.7e18 < y2 < 2.1e180

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 40.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -1.79999999999999992e39 < y2 < 1.70000000000000007e-183

   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 b around inf 39.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 37.1%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 1.70000000000000007e-183 < y2 < 1.44999999999999986e-70

   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 c around inf 28.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 28.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 28.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 50.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if 1.44999999999999986e-70 < y2 < 1.7e18

   1. Initial program 23.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 48.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 49.0%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 49.0%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 49.0%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 29.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 29.4%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 29.4%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 29.4%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 29.4%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 29.4%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 34.7%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 34.7%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 34.7%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if 2.1e180 < y2

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 21.9%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.9%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.9%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 44.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 44.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 39.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.8 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-183}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{+18}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+180}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 26.1% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -2.45 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.25 \cdot 10^{-181}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 7.2 \cdot 10^{+40}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{+179}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -2.45e+39)
   (* b (* j (- (* t y4) (* x y0))))
   (if (<= y2 2.25e-181)
     (* b (* a (- (* x y) (* z t))))
     (if (<= y2 2.1e-76)
       (* a (* y1 (* z y3)))
       (if (<= y2 7.2e+40)
         (* y1 (* (* i k) (- z)))
         (if (<= y2 9e+179)
           (* b (* x (- (* y a) (* j y0))))
           (* k (* y1 (* y2 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 tmp;
	if (y2 <= -2.45e+39) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y2 <= 2.25e-181) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (y2 <= 2.1e-76) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 7.2e+40) {
		tmp = y1 * ((i * k) * -z);
	} else if (y2 <= 9e+179) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = k * (y1 * (y2 * 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) :: tmp
    if (y2 <= (-2.45d+39)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y2 <= 2.25d-181) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (y2 <= 2.1d-76) then
        tmp = a * (y1 * (z * y3))
    else if (y2 <= 7.2d+40) then
        tmp = y1 * ((i * k) * -z)
    else if (y2 <= 9d+179) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else
        tmp = k * (y1 * (y2 * 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 tmp;
	if (y2 <= -2.45e+39) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y2 <= 2.25e-181) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (y2 <= 2.1e-76) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 7.2e+40) {
		tmp = y1 * ((i * k) * -z);
	} else if (y2 <= 9e+179) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = k * (y1 * (y2 * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -2.45e+39:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y2 <= 2.25e-181:
		tmp = b * (a * ((x * y) - (z * t)))
	elif y2 <= 2.1e-76:
		tmp = a * (y1 * (z * y3))
	elif y2 <= 7.2e+40:
		tmp = y1 * ((i * k) * -z)
	elif y2 <= 9e+179:
		tmp = b * (x * ((y * a) - (j * y0)))
	else:
		tmp = k * (y1 * (y2 * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -2.45e+39)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y2 <= 2.25e-181)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= 2.1e-76)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y2 <= 7.2e+40)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	elseif (y2 <= 9e+179)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	else
		tmp = Float64(k * Float64(y1 * Float64(y2 * 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)
	tmp = 0.0;
	if (y2 <= -2.45e+39)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y2 <= 2.25e-181)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (y2 <= 2.1e-76)
		tmp = a * (y1 * (z * y3));
	elseif (y2 <= 7.2e+40)
		tmp = y1 * ((i * k) * -z);
	elseif (y2 <= 9e+179)
		tmp = b * (x * ((y * a) - (j * y0)));
	else
		tmp = k * (y1 * (y2 * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -2.45e+39], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.25e-181], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.1e-76], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.2e+40], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9e+179], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -2.44999999999999994e39

   1. Initial program 18.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 33.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 39.7%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -2.44999999999999994e39 < y2 < 2.2499999999999999e-181

   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 b around inf 39.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 37.1%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 2.2499999999999999e-181 < y2 < 2.09999999999999992e-76

   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 c around inf 28.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 28.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 28.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 55.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 50.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if 2.09999999999999992e-76 < y2 < 7.19999999999999993e40

   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 i around -inf 46.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 46.9%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 46.9%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 46.9%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 30.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 30.1%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 30.0%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 30.0%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 30.0%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 30.0%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 34.6%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 34.6%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 34.6%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if 7.19999999999999993e40 < y2 < 9.0000000000000005e179

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 46.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 9.0000000000000005e179 < y2

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 21.9%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.9%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.9%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 44.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 44.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 40.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.45 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.25 \cdot 10^{-181}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 7.2 \cdot 10^{+40}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{+179}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 31.8% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{if}\;y2 \leq -9.2 \cdot 10^{+190}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -6.4 \cdot 10^{+38}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{-38}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{+14}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y1 (* y2 (- (* k y4) (* x a))))))
   (if (<= y2 -9.2e+190)
     t_1
     (if (<= y2 -6.4e+38)
       (* b (* y0 (- (* z k) (* x j))))
       (if (<= y2 -1.15e-17)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y2 -3.2e-38)
           (* i (* z (* t c)))
           (if (<= y2 1.35e+14) (* a (* b (- (* x y) (* z t)))) 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 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -9.2e+190) {
		tmp = t_1;
	} else if (y2 <= -6.4e+38) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -1.15e-17) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y2 <= -3.2e-38) {
		tmp = i * (z * (t * c));
	} else if (y2 <= 1.35e+14) {
		tmp = a * (b * ((x * y) - (z * t)));
	} 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 = y1 * (y2 * ((k * y4) - (x * a)))
    if (y2 <= (-9.2d+190)) then
        tmp = t_1
    else if (y2 <= (-6.4d+38)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y2 <= (-1.15d-17)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y2 <= (-3.2d-38)) then
        tmp = i * (z * (t * c))
    else if (y2 <= 1.35d+14) then
        tmp = a * (b * ((x * y) - (z * t)))
    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 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -9.2e+190) {
		tmp = t_1;
	} else if (y2 <= -6.4e+38) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -1.15e-17) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y2 <= -3.2e-38) {
		tmp = i * (z * (t * c));
	} else if (y2 <= 1.35e+14) {
		tmp = a * (b * ((x * y) - (z * t)));
	} 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 = y1 * (y2 * ((k * y4) - (x * a)))
	tmp = 0
	if y2 <= -9.2e+190:
		tmp = t_1
	elif y2 <= -6.4e+38:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y2 <= -1.15e-17:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y2 <= -3.2e-38:
		tmp = i * (z * (t * c))
	elif y2 <= 1.35e+14:
		tmp = a * (b * ((x * y) - (z * t)))
	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(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))))
	tmp = 0.0
	if (y2 <= -9.2e+190)
		tmp = t_1;
	elseif (y2 <= -6.4e+38)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y2 <= -1.15e-17)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y2 <= -3.2e-38)
		tmp = Float64(i * Float64(z * Float64(t * c)));
	elseif (y2 <= 1.35e+14)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	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 = y1 * (y2 * ((k * y4) - (x * a)));
	tmp = 0.0;
	if (y2 <= -9.2e+190)
		tmp = t_1;
	elseif (y2 <= -6.4e+38)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y2 <= -1.15e-17)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y2 <= -3.2e-38)
		tmp = i * (z * (t * c));
	elseif (y2 <= 1.35e+14)
		tmp = a * (b * ((x * y) - (z * t)));
	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[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -9.2e+190], t$95$1, If[LessEqual[y2, -6.4e+38], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.15e-17], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.2e-38], N[(i * N[(z * N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.35e+14], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -9.2e190 or 1.35e14 < y2

   1. Initial program 13.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 22.3%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 22.3%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 22.3%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 46.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in y2 around inf 44.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. +-commutative 44.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 44.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 44.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      4. *-commutative 44.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

   9. Simplified 44.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(y4 \cdot k - a \cdot x\right)\right)} \]

   if -9.2e190 < y2 < -6.3999999999999997e38

   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 b around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 55.1%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -6.3999999999999997e38 < y2 < -1.15000000000000004e-17

   1. Initial program 25.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 75.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 63.3%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.15000000000000004e-17 < y2 < -3.19999999999999977e-38

   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 i around -inf 33.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 66.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 66.8%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 66.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around inf 67.2%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(c \cdot t\right)}\right)\right) \]
   8. Step-by-step derivation

      1. *-commutative 67.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   9. Simplified 67.2%

      \[\leadsto -1 \cdot \left(i \cdot \left(-z \cdot \color{blue}{\left(t \cdot c\right)}\right)\right) \]

   if -3.19999999999999977e-38 < y2 < 1.35e14

   1. Initial program 35.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 30.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 35.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -9.2 \cdot 10^{+190}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -6.4 \cdot 10^{+38}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{-38}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{+14}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 28.3% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -7.2 \cdot 10^{-190}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-241}:\\ \;\;\;\;\left(z \cdot y1\right) \cdot \left(i \cdot \left(-k\right)\right)\\ \mathbf{elif}\;a \leq 9.6 \cdot 10^{-42}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 145:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{+173}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* j (- (* x y1) (* t y5))))))
   (if (<= a -7.2e-190)
     (* b (* a (- (* x y) (* z t))))
     (if (<= a 3.8e-241)
       (* (* z y1) (* i (- k)))
       (if (<= a 9.6e-42)
         t_1
         (if (<= a 145.0)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= a 3.6e+173) t_1 (* y1 (* y2 (- (* k y4) (* x a)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * ((x * y1) - (t * y5)));
	double tmp;
	if (a <= -7.2e-190) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (a <= 3.8e-241) {
		tmp = (z * y1) * (i * -k);
	} else if (a <= 9.6e-42) {
		tmp = t_1;
	} else if (a <= 145.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 3.6e+173) {
		tmp = t_1;
	} else {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (j * ((x * y1) - (t * y5)))
    if (a <= (-7.2d-190)) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (a <= 3.8d-241) then
        tmp = (z * y1) * (i * -k)
    else if (a <= 9.6d-42) then
        tmp = t_1
    else if (a <= 145.0d0) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (a <= 3.6d+173) then
        tmp = t_1
    else
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * ((x * y1) - (t * y5)));
	double tmp;
	if (a <= -7.2e-190) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (a <= 3.8e-241) {
		tmp = (z * y1) * (i * -k);
	} else if (a <= 9.6e-42) {
		tmp = t_1;
	} else if (a <= 145.0) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (a <= 3.6e+173) {
		tmp = t_1;
	} else {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (j * ((x * y1) - (t * y5)))
	tmp = 0
	if a <= -7.2e-190:
		tmp = b * (a * ((x * y) - (z * t)))
	elif a <= 3.8e-241:
		tmp = (z * y1) * (i * -k)
	elif a <= 9.6e-42:
		tmp = t_1
	elif a <= 145.0:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif a <= 3.6e+173:
		tmp = t_1
	else:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))))
	tmp = 0.0
	if (a <= -7.2e-190)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (a <= 3.8e-241)
		tmp = Float64(Float64(z * y1) * Float64(i * Float64(-k)));
	elseif (a <= 9.6e-42)
		tmp = t_1;
	elseif (a <= 145.0)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (a <= 3.6e+173)
		tmp = t_1;
	else
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (j * ((x * y1) - (t * y5)));
	tmp = 0.0;
	if (a <= -7.2e-190)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (a <= 3.8e-241)
		tmp = (z * y1) * (i * -k);
	elseif (a <= 9.6e-42)
		tmp = t_1;
	elseif (a <= 145.0)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (a <= 3.6e+173)
		tmp = t_1;
	else
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -7.2e-190], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.8e-241], N[(N[(z * y1), $MachinePrecision] * N[(i * (-k)), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.6e-42], t$95$1, If[LessEqual[a, 145.0], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.6e+173], t$95$1, N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if a < -7.20000000000000014e-190

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 36.7%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -7.20000000000000014e-190 < a < 3.7999999999999999e-241

   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 i around -inf 41.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 45.1%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 45.1%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 45.1%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 42.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 47.4%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 47.4%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)} \]

   if 3.7999999999999999e-241 < a < 9.60000000000000011e-42 or 145 < a < 3.6000000000000002e173

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 40.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in i around -inf 40.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.8%

         \[\leadsto \color{blue}{-i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   6. Simplified 40.8%

      \[\leadsto \color{blue}{-i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   if 9.60000000000000011e-42 < a < 145

   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 b around inf 52.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 61.2%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 3.6000000000000002e173 < a

   1. Initial program 9.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 9.5%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 9.5%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 9.5%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 57.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in y2 around inf 62.3%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. +-commutative 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      4. *-commutative 62.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

   9. Simplified 62.3%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(y4 \cdot k - a \cdot x\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -7.2 \cdot 10^{-190}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-241}:\\ \;\;\;\;\left(z \cdot y1\right) \cdot \left(i \cdot \left(-k\right)\right)\\ \mathbf{elif}\;a \leq 9.6 \cdot 10^{-42}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 145:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{+173}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 39: 21.3% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -2.6 \cdot 10^{+120}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-5}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;x \leq 2.06 \cdot 10^{-26}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{+77}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(y \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;x \leq 8.6 \cdot 10^{+146}:\\ \;\;\;\;a \cdot \left(\left(z \cdot t\right) \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y2 \cdot \left(-y1\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -2.6e+120)
   (* y1 (* (* x y2) (- a)))
   (if (<= x -1.4e-5)
     (* y1 (* (* i k) (- z)))
     (if (<= x 2.06e-26)
       (* a (* y1 (* z y3)))
       (if (<= x 4.6e+77)
         (* y3 (* a (* y (- y5))))
         (if (<= x 8.6e+146)
           (* a (* (* z t) (- b)))
           (* a (* x (* y2 (- y1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -2.6e+120) {
		tmp = y1 * ((x * y2) * -a);
	} else if (x <= -1.4e-5) {
		tmp = y1 * ((i * k) * -z);
	} else if (x <= 2.06e-26) {
		tmp = a * (y1 * (z * y3));
	} else if (x <= 4.6e+77) {
		tmp = y3 * (a * (y * -y5));
	} else if (x <= 8.6e+146) {
		tmp = a * ((z * t) * -b);
	} else {
		tmp = a * (x * (y2 * -y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (x <= (-2.6d+120)) then
        tmp = y1 * ((x * y2) * -a)
    else if (x <= (-1.4d-5)) then
        tmp = y1 * ((i * k) * -z)
    else if (x <= 2.06d-26) then
        tmp = a * (y1 * (z * y3))
    else if (x <= 4.6d+77) then
        tmp = y3 * (a * (y * -y5))
    else if (x <= 8.6d+146) then
        tmp = a * ((z * t) * -b)
    else
        tmp = a * (x * (y2 * -y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -2.6e+120) {
		tmp = y1 * ((x * y2) * -a);
	} else if (x <= -1.4e-5) {
		tmp = y1 * ((i * k) * -z);
	} else if (x <= 2.06e-26) {
		tmp = a * (y1 * (z * y3));
	} else if (x <= 4.6e+77) {
		tmp = y3 * (a * (y * -y5));
	} else if (x <= 8.6e+146) {
		tmp = a * ((z * t) * -b);
	} else {
		tmp = a * (x * (y2 * -y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if x <= -2.6e+120:
		tmp = y1 * ((x * y2) * -a)
	elif x <= -1.4e-5:
		tmp = y1 * ((i * k) * -z)
	elif x <= 2.06e-26:
		tmp = a * (y1 * (z * y3))
	elif x <= 4.6e+77:
		tmp = y3 * (a * (y * -y5))
	elif x <= 8.6e+146:
		tmp = a * ((z * t) * -b)
	else:
		tmp = a * (x * (y2 * -y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (x <= -2.6e+120)
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	elseif (x <= -1.4e-5)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	elseif (x <= 2.06e-26)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (x <= 4.6e+77)
		tmp = Float64(y3 * Float64(a * Float64(y * Float64(-y5))));
	elseif (x <= 8.6e+146)
		tmp = Float64(a * Float64(Float64(z * t) * Float64(-b)));
	else
		tmp = Float64(a * Float64(x * Float64(y2 * Float64(-y1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (x <= -2.6e+120)
		tmp = y1 * ((x * y2) * -a);
	elseif (x <= -1.4e-5)
		tmp = y1 * ((i * k) * -z);
	elseif (x <= 2.06e-26)
		tmp = a * (y1 * (z * y3));
	elseif (x <= 4.6e+77)
		tmp = y3 * (a * (y * -y5));
	elseif (x <= 8.6e+146)
		tmp = a * ((z * t) * -b);
	else
		tmp = a * (x * (y2 * -y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[x, -2.6e+120], N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.4e-5], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.06e-26], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.6e+77], N[(y3 * N[(a * N[(y * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.6e+146], N[(a * N[(N[(z * t), $MachinePrecision] * (-b)), $MachinePrecision]), $MachinePrecision], N[(a * N[(x * N[(y2 * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if x < -2.5999999999999999e120

   1. Initial program 15.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 24.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 24.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 24.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 39.8%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in x around inf 42.3%

      \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 42.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y2\right)\right)} \]

      2. *-commutative 42.3%

         \[\leadsto y1 \cdot \left(-\color{blue}{\left(x \cdot y2\right) \cdot a}\right) \]

      3. distribute-rgt-neg-in 42.3%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)} \]

      4. *-commutative 42.3%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y2 \cdot x\right)} \cdot \left(-a\right)\right) \]

   9. Simplified 42.3%

      \[\leadsto y1 \cdot \color{blue}{\left(\left(y2 \cdot x\right) \cdot \left(-a\right)\right)} \]

   if -2.5999999999999999e120 < x < -1.39999999999999998e-5

   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 i around -inf 47.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 48.1%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 48.1%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 48.1%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 18.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 18.6%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 24.8%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 24.8%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 24.8%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 24.8%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 34.3%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 34.3%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 34.3%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if -1.39999999999999998e-5 < x < 2.0599999999999999e-26

   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 c around inf 32.9%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 32.9%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 32.9%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 27.0%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if 2.0599999999999999e-26 < x < 4.5999999999999999e77

   1. Initial program 44.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 22.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in j around 0 28.6%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   5. Taylor expanded in y5 around inf 39.8%

      \[\leadsto -1 \cdot \left(y3 \cdot \color{blue}{\left(a \cdot \left(y \cdot y5\right)\right)}\right) \]

   if 4.5999999999999999e77 < x < 8.5999999999999997e146

   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 b around inf 45.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 47.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around 0 46.3%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.3%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. mul-1-neg 46.3%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(b \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 46.3%

         \[\leadsto \left(-a\right) \cdot \left(b \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   7. Simplified 46.3%

      \[\leadsto \color{blue}{\left(-a\right) \cdot \left(b \cdot \left(z \cdot t\right)\right)} \]

   if 8.5999999999999997e146 < x

   1. Initial program 8.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 13.6%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 13.6%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 13.6%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 43.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in x around inf 41.3%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(x \cdot \left(y1 \cdot y2\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 41.3%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(x \cdot \left(y1 \cdot y2\right)\right)} \]

      2. mul-1-neg 41.3%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(x \cdot \left(y1 \cdot y2\right)\right) \]

   9. Simplified 41.3%

      \[\leadsto \color{blue}{\left(-a\right) \cdot \left(x \cdot \left(y1 \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 34.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.6 \cdot 10^{+120}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-5}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;x \leq 2.06 \cdot 10^{-26}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{+77}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(y \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;x \leq 8.6 \cdot 10^{+146}:\\ \;\;\;\;a \cdot \left(\left(z \cdot t\right) \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y2 \cdot \left(-y1\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 40: 22.0% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;y3 \leq -1.62 \cdot 10^{-49}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.4 \cdot 10^{-124}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -1.2 \cdot 10^{-242}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 1.35 \cdot 10^{-51}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+35}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= y3 -1.62e-49)
     (* y1 (* a (* z y3)))
     (if (<= y3 -1.4e-124)
       t_1
       (if (<= y3 -1.2e-242)
         (* b (* j (* x (- y0))))
         (if (<= y3 1.35e-51)
           t_1
           (if (<= y3 3.1e+35)
             (* k (* y1 (* y2 y4)))
             (* a (* y1 (* z y3))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (y3 <= -1.62e-49) {
		tmp = y1 * (a * (z * y3));
	} else if (y3 <= -1.4e-124) {
		tmp = t_1;
	} else if (y3 <= -1.2e-242) {
		tmp = b * (j * (x * -y0));
	} else if (y3 <= 1.35e-51) {
		tmp = t_1;
	} else if (y3 <= 3.1e+35) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = a * (y1 * (z * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (y3 <= (-1.62d-49)) then
        tmp = y1 * (a * (z * y3))
    else if (y3 <= (-1.4d-124)) then
        tmp = t_1
    else if (y3 <= (-1.2d-242)) then
        tmp = b * (j * (x * -y0))
    else if (y3 <= 1.35d-51) then
        tmp = t_1
    else if (y3 <= 3.1d+35) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = a * (y1 * (z * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (y3 <= -1.62e-49) {
		tmp = y1 * (a * (z * y3));
	} else if (y3 <= -1.4e-124) {
		tmp = t_1;
	} else if (y3 <= -1.2e-242) {
		tmp = b * (j * (x * -y0));
	} else if (y3 <= 1.35e-51) {
		tmp = t_1;
	} else if (y3 <= 3.1e+35) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = a * (y1 * (z * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if y3 <= -1.62e-49:
		tmp = y1 * (a * (z * y3))
	elif y3 <= -1.4e-124:
		tmp = t_1
	elif y3 <= -1.2e-242:
		tmp = b * (j * (x * -y0))
	elif y3 <= 1.35e-51:
		tmp = t_1
	elif y3 <= 3.1e+35:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = a * (y1 * (z * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (y3 <= -1.62e-49)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (y3 <= -1.4e-124)
		tmp = t_1;
	elseif (y3 <= -1.2e-242)
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	elseif (y3 <= 1.35e-51)
		tmp = t_1;
	elseif (y3 <= 3.1e+35)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (y3 <= -1.62e-49)
		tmp = y1 * (a * (z * y3));
	elseif (y3 <= -1.4e-124)
		tmp = t_1;
	elseif (y3 <= -1.2e-242)
		tmp = b * (j * (x * -y0));
	elseif (y3 <= 1.35e-51)
		tmp = t_1;
	elseif (y3 <= 3.1e+35)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = a * (y1 * (z * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.62e-49], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.4e-124], t$95$1, If[LessEqual[y3, -1.2e-242], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.35e-51], t$95$1, If[LessEqual[y3, 3.1e+35], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y3 < -1.62e-49

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 27.4%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 27.4%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 27.4%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 32.6%

      \[\leadsto y1 \cdot \color{blue}{\left(a \cdot \left(y3 \cdot z\right)\right)} \]

   if -1.62e-49 < y3 < -1.39999999999999999e-124 or -1.2e-242 < y3 < 1.3499999999999999e-51

   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 31.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 34.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 29.8%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

   if -1.39999999999999999e-124 < y3 < -1.2e-242

   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 j around inf 41.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 30.7%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   5. Taylor expanded in y3 around 0 30.7%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 30.7%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(j \cdot \left(x \cdot y0\right)\right)} \]

      2. neg-mul-1 30.7%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(j \cdot \left(x \cdot y0\right)\right) \]

      3. *-commutative 30.7%

         \[\leadsto \left(-b\right) \cdot \color{blue}{\left(\left(x \cdot y0\right) \cdot j\right)} \]

      4. *-commutative 30.7%

         \[\leadsto \left(-b\right) \cdot \left(\color{blue}{\left(y0 \cdot x\right)} \cdot j\right) \]

   7. Simplified 30.7%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(\left(y0 \cdot x\right) \cdot j\right)} \]

   if 1.3499999999999999e-51 < y3 < 3.09999999999999987e35

   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 c around inf 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 69.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 43.6%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if 3.09999999999999987e35 < y3

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 25.7%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 25.7%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 25.7%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 40.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 34.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.62 \cdot 10^{-49}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.4 \cdot 10^{-124}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq -1.2 \cdot 10^{-242}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 1.35 \cdot 10^{-51}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+35}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 41: 26.9% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.65 \cdot 10^{+109}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;y2 \leq 9.5 \cdot 10^{-184}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{-110}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+38}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.65e+109)
   (* y1 (* (* x y2) (- a)))
   (if (<= y2 9.5e-184)
     (* a (* b (- (* x y) (* z t))))
     (if (<= y2 1.9e-110)
       (* a (* y1 (* z y3)))
       (if (<= y2 1.65e+38)
         (* y1 (* (* i k) (- z)))
         (* k (* y1 (* y2 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 tmp;
	if (y2 <= -1.65e+109) {
		tmp = y1 * ((x * y2) * -a);
	} else if (y2 <= 9.5e-184) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= 1.9e-110) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 1.65e+38) {
		tmp = y1 * ((i * k) * -z);
	} else {
		tmp = k * (y1 * (y2 * 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) :: tmp
    if (y2 <= (-1.65d+109)) then
        tmp = y1 * ((x * y2) * -a)
    else if (y2 <= 9.5d-184) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y2 <= 1.9d-110) then
        tmp = a * (y1 * (z * y3))
    else if (y2 <= 1.65d+38) then
        tmp = y1 * ((i * k) * -z)
    else
        tmp = k * (y1 * (y2 * 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 tmp;
	if (y2 <= -1.65e+109) {
		tmp = y1 * ((x * y2) * -a);
	} else if (y2 <= 9.5e-184) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= 1.9e-110) {
		tmp = a * (y1 * (z * y3));
	} else if (y2 <= 1.65e+38) {
		tmp = y1 * ((i * k) * -z);
	} else {
		tmp = k * (y1 * (y2 * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.65e+109:
		tmp = y1 * ((x * y2) * -a)
	elif y2 <= 9.5e-184:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y2 <= 1.9e-110:
		tmp = a * (y1 * (z * y3))
	elif y2 <= 1.65e+38:
		tmp = y1 * ((i * k) * -z)
	else:
		tmp = k * (y1 * (y2 * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.65e+109)
		tmp = Float64(y1 * Float64(Float64(x * y2) * Float64(-a)));
	elseif (y2 <= 9.5e-184)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= 1.9e-110)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y2 <= 1.65e+38)
		tmp = Float64(y1 * Float64(Float64(i * k) * Float64(-z)));
	else
		tmp = Float64(k * Float64(y1 * Float64(y2 * 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)
	tmp = 0.0;
	if (y2 <= -1.65e+109)
		tmp = y1 * ((x * y2) * -a);
	elseif (y2 <= 9.5e-184)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y2 <= 1.9e-110)
		tmp = a * (y1 * (z * y3));
	elseif (y2 <= 1.65e+38)
		tmp = y1 * ((i * k) * -z);
	else
		tmp = k * (y1 * (y2 * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.65e+109], N[(y1 * N[(N[(x * y2), $MachinePrecision] * (-a)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.5e-184], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.9e-110], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.65e+38], N[(y1 * N[(N[(i * k), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -1.6499999999999999e109

   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 c around inf 23.8%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 23.8%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 23.8%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 35.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in x around inf 41.1%

      \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 41.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y2\right)\right)} \]

      2. *-commutative 41.1%

         \[\leadsto y1 \cdot \left(-\color{blue}{\left(x \cdot y2\right) \cdot a}\right) \]

      3. distribute-rgt-neg-in 41.1%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)} \]

      4. *-commutative 41.1%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y2 \cdot x\right)} \cdot \left(-a\right)\right) \]

   9. Simplified 41.1%

      \[\leadsto y1 \cdot \color{blue}{\left(\left(y2 \cdot x\right) \cdot \left(-a\right)\right)} \]

   if -1.6499999999999999e109 < y2 < 9.4999999999999991e-184

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 36.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 9.4999999999999991e-184 < y2 < 1.8999999999999999e-110

   1. Initial program 23.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 23.5%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 23.5%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 23.5%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 68.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 54.3%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if 1.8999999999999999e-110 < y2 < 1.65e38

   1. Initial program 33.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 46.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 51.6%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 51.6%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   6. Simplified 51.6%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-z \cdot \left(c \cdot t - k \cdot y1\right)\right)}\right) \]

   7. Taylor expanded in c around 0 33.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 33.4%

         \[\leadsto -1 \cdot \color{blue}{{\left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)}^{1}} \]

      2. associate-*r* 33.4%

         \[\leadsto -1 \cdot {\color{blue}{\left(\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)\right)}}^{1} \]

      3. *-commutative 33.4%

         \[\leadsto -1 \cdot {\left(\left(i \cdot k\right) \cdot \color{blue}{\left(z \cdot y1\right)}\right)}^{1} \]

   9. Applied egg-rr 33.4%

      \[\leadsto -1 \cdot \color{blue}{{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 33.4%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot k\right) \cdot \left(z \cdot y1\right)\right)} \]

       2. associate-*r* 37.2%

          \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(i \cdot k\right) \cdot z\right) \cdot y1\right)} \]

       3. *-commutative 37.2%

          \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(k \cdot i\right)} \cdot z\right) \cdot y1\right) \]

   11. Simplified 37.2%

       \[\leadsto -1 \cdot \color{blue}{\left(\left(\left(k \cdot i\right) \cdot z\right) \cdot y1\right)} \]

   if 1.65e38 < y2

   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 c around inf 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 52.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 36.5%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 36.5%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 36.5%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 38.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.65 \cdot 10^{+109}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot y2\right) \cdot \left(-a\right)\right)\\ \mathbf{elif}\;y2 \leq 9.5 \cdot 10^{-184}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{-110}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+38}:\\ \;\;\;\;y1 \cdot \left(\left(i \cdot k\right) \cdot \left(-z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 42: 21.9% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{if}\;y3 \leq -5.2 \cdot 10^{-49}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 2.75 \cdot 10^{-52}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+35}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y1 (* z y3)))))
   (if (<= y3 -5.2e-49)
     t_1
     (if (<= y3 2.75e-52)
       (* a (* (* x y) b))
       (if (<= y3 9e+35) (* 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 = a * (y1 * (z * y3));
	double tmp;
	if (y3 <= -5.2e-49) {
		tmp = t_1;
	} else if (y3 <= 2.75e-52) {
		tmp = a * ((x * y) * b);
	} else if (y3 <= 9e+35) {
		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 = a * (y1 * (z * y3))
    if (y3 <= (-5.2d-49)) then
        tmp = t_1
    else if (y3 <= 2.75d-52) then
        tmp = a * ((x * y) * b)
    else if (y3 <= 9d+35) 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 = a * (y1 * (z * y3));
	double tmp;
	if (y3 <= -5.2e-49) {
		tmp = t_1;
	} else if (y3 <= 2.75e-52) {
		tmp = a * ((x * y) * b);
	} else if (y3 <= 9e+35) {
		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 = a * (y1 * (z * y3))
	tmp = 0
	if y3 <= -5.2e-49:
		tmp = t_1
	elif y3 <= 2.75e-52:
		tmp = a * ((x * y) * b)
	elif y3 <= 9e+35:
		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(a * Float64(y1 * Float64(z * y3)))
	tmp = 0.0
	if (y3 <= -5.2e-49)
		tmp = t_1;
	elseif (y3 <= 2.75e-52)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y3 <= 9e+35)
		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 = a * (y1 * (z * y3));
	tmp = 0.0;
	if (y3 <= -5.2e-49)
		tmp = t_1;
	elseif (y3 <= 2.75e-52)
		tmp = a * ((x * y) * b);
	elseif (y3 <= 9e+35)
		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[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -5.2e-49], t$95$1, If[LessEqual[y3, 2.75e-52], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9e+35], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y3 < -5.1999999999999999e-49 or 8.9999999999999993e35 < y3

   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 c around inf 26.6%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 26.6%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 26.6%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 35.8%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if -5.1999999999999999e-49 < y3 < 2.75e-52

   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 b around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 24.4%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

   if 2.75e-52 < y3 < 8.9999999999999993e35

   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 c around inf 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 69.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 43.6%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 31.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -5.2 \cdot 10^{-49}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 2.75 \cdot 10^{-52}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+35}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 43: 21.9% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -9.2 \cdot 10^{-49}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 4.9 \cdot 10^{-55}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+36}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -9.2e-49)
   (* y1 (* a (* z y3)))
   (if (<= y3 4.9e-55)
     (* a (* (* x y) b))
     (if (<= y3 2.3e+36) (* k (* y1 (* y2 y4))) (* a (* y1 (* z y3)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -9.2e-49) {
		tmp = y1 * (a * (z * y3));
	} else if (y3 <= 4.9e-55) {
		tmp = a * ((x * y) * b);
	} else if (y3 <= 2.3e+36) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = a * (y1 * (z * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y3 <= (-9.2d-49)) then
        tmp = y1 * (a * (z * y3))
    else if (y3 <= 4.9d-55) then
        tmp = a * ((x * y) * b)
    else if (y3 <= 2.3d+36) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = a * (y1 * (z * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -9.2e-49) {
		tmp = y1 * (a * (z * y3));
	} else if (y3 <= 4.9e-55) {
		tmp = a * ((x * y) * b);
	} else if (y3 <= 2.3e+36) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = a * (y1 * (z * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y3 <= -9.2e-49:
		tmp = y1 * (a * (z * y3))
	elif y3 <= 4.9e-55:
		tmp = a * ((x * y) * b)
	elif y3 <= 2.3e+36:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = a * (y1 * (z * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y3 <= -9.2e-49)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (y3 <= 4.9e-55)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y3 <= 2.3e+36)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y3 <= -9.2e-49)
		tmp = y1 * (a * (z * y3));
	elseif (y3 <= 4.9e-55)
		tmp = a * ((x * y) * b);
	elseif (y3 <= 2.3e+36)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = a * (y1 * (z * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y3, -9.2e-49], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.9e-55], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.3e+36], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y3 < -9.1999999999999996e-49

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 27.4%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 27.4%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 27.4%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 32.6%

      \[\leadsto y1 \cdot \color{blue}{\left(a \cdot \left(y3 \cdot z\right)\right)} \]

   if -9.1999999999999996e-49 < y3 < 4.90000000000000035e-55

   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 b around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 24.4%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

   if 4.90000000000000035e-55 < y3 < 2.29999999999999996e36

   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 c around inf 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 21.1%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 21.1%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 69.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in k around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 43.6%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if 2.29999999999999996e36 < y3

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 25.7%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 25.7%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 25.7%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 42.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 40.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 31.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -9.2 \cdot 10^{-49}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 4.9 \cdot 10^{-55}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+36}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 44: 21.6% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -2 \cdot 10^{-48} \lor \neg \left(y3 \leq 8 \cdot 10^{-34}\right):\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y3 -2e-48) (not (<= y3 8e-34)))
   (* a (* y1 (* z y3)))
   (* a (* (* x y) b))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y3 <= -2e-48) || !(y3 <= 8e-34)) {
		tmp = a * (y1 * (z * y3));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((y3 <= (-2d-48)) .or. (.not. (y3 <= 8d-34))) then
        tmp = a * (y1 * (z * y3))
    else
        tmp = a * ((x * y) * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y3 <= -2e-48) || !(y3 <= 8e-34)) {
		tmp = a * (y1 * (z * y3));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (y3 <= -2e-48) or not (y3 <= 8e-34):
		tmp = a * (y1 * (z * y3))
	else:
		tmp = a * ((x * y) * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((y3 <= -2e-48) || !(y3 <= 8e-34))
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	else
		tmp = Float64(a * Float64(Float64(x * y) * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((y3 <= -2e-48) || ~((y3 <= 8e-34)))
		tmp = a * (y1 * (z * y3));
	else
		tmp = a * ((x * y) * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[y3, -2e-48], N[Not[LessEqual[y3, 8e-34]], $MachinePrecision]], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y3 < -1.9999999999999999e-48 or 7.99999999999999942e-34 < y3

   1. Initial program 21.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 25.8%

      \[\leadsto \left(\left(\left(\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. mul-1-neg 25.8%

         \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 25.8%

      \[\leadsto \left(\left(\left(\color{blue}{\left(-c \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in y1 around inf 46.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   7. Taylor expanded in z around inf 34.1%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]

   if -1.9999999999999999e-48 < y3 < 7.99999999999999942e-34

   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 b around inf 33.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 29.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 23.8%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 29.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2 \cdot 10^{-48} \lor \neg \left(y3 \leq 8 \cdot 10^{-34}\right):\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 45: 16.4% 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 25.3%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in b around inf 34.0%

   \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

4. Taylor expanded in a around inf 30.7%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

5. Taylor expanded in x around inf 19.1%

   \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

6. Final simplification 19.1%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
7. Add Preprocessing

Developer target: 27.8% 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 2024066 
(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)))))