Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 29.9% → 35.8%

Time: 1.3min

Alternatives: 39

Speedup: 3.1×

• 88.4% 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: 29.9% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 35.8% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := c \cdot y4 - a \cdot y5\\ t_4 := i \cdot y5 - b \cdot y4\\ t_5 := t \cdot y2 - y \cdot y3\\ t_6 := a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot t\_5\right)\\ t_7 := y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -6.5 \cdot 10^{+104}:\\ \;\;\;\;y5 \cdot \left(a \cdot t\_5 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.1 \cdot 10^{+59}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;t \leq -48000000000:\\ \;\;\;\;y \cdot \left(\left(k \cdot t\_4 + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot t\_3\right)\\ \mathbf{elif}\;t \leq -1.18 \cdot 10^{-21}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;t \leq -2.15 \cdot 10^{-196}:\\ \;\;\;\;k \cdot \left(\left(y \cdot t\_4 + y2 \cdot t\_1\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq -1.05 \cdot 10^{-274}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_2\right)\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-223}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-197}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-82}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(y \cdot t\_3 + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot t\_2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* a y5) (* c y4)))
        (t_3 (- (* c y4) (* a y5)))
        (t_4 (- (* i y5) (* b y4)))
        (t_5 (- (* t y2) (* y y3)))
        (t_6
         (*
          a
          (+
           (+ (* y1 (- (* z y3) (* x y2))) (* b (- (* x y) (* z t))))
           (* y5 t_5))))
        (t_7 (* y3 (* z (- (* a y1) (* c y0))))))
   (if (<= t -6.5e+104)
     (* y5 (+ (* a t_5) (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -3.1e+59)
       t_7
       (if (<= t -48000000000.0)
         (* y (+ (+ (* k t_4) (* x (- (* a b) (* c i)))) (* y3 t_3)))
         (if (<= t -1.18e-21)
           t_7
           (if (<= t -2.15e-196)
             (* k (+ (+ (* y t_4) (* y2 t_1)) (* z (- (* b y0) (* i y1)))))
             (if (<= t -1.05e-274)
               (* y2 (+ (+ (* k t_1) (* x (- (* c y0) (* a y1)))) (* t t_2)))
               (if (<= t 1.4e-223)
                 t_6
                 (if (<= t 3.1e-197)
                   (* j (* x (- (* i y1) (* b y0))))
                   (if (<= t 9.8e-82)
                     t_6
                     (if (<= t 2.6e+257)
                       (* y3 (+ (* y t_3) (- (* a (* z y1)) (* c (* z y0)))))
                       (*
                        t
                        (+
                         (+
                          (* z (- (* c i) (* a b)))
                          (* j (- (* b y4) (* i y5))))
                         (* y2 t_2)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = (i * y5) - (b * y4);
	double t_5 = (t * y2) - (y * y3);
	double t_6 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_5));
	double t_7 = y3 * (z * ((a * y1) - (c * y0)));
	double tmp;
	if (t <= -6.5e+104) {
		tmp = y5 * ((a * t_5) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.1e+59) {
		tmp = t_7;
	} else if (t <= -48000000000.0) {
		tmp = y * (((k * t_4) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	} else if (t <= -1.18e-21) {
		tmp = t_7;
	} else if (t <= -2.15e-196) {
		tmp = k * (((y * t_4) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))));
	} else if (t <= -1.05e-274) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (t <= 1.4e-223) {
		tmp = t_6;
	} else if (t <= 3.1e-197) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 9.8e-82) {
		tmp = t_6;
	} else if (t <= 2.6e+257) {
		tmp = y3 * ((y * t_3) + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = (a * y5) - (c * y4)
    t_3 = (c * y4) - (a * y5)
    t_4 = (i * y5) - (b * y4)
    t_5 = (t * y2) - (y * y3)
    t_6 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_5))
    t_7 = y3 * (z * ((a * y1) - (c * y0)))
    if (t <= (-6.5d+104)) then
        tmp = y5 * ((a * t_5) + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-3.1d+59)) then
        tmp = t_7
    else if (t <= (-48000000000.0d0)) then
        tmp = y * (((k * t_4) + (x * ((a * b) - (c * i)))) + (y3 * t_3))
    else if (t <= (-1.18d-21)) then
        tmp = t_7
    else if (t <= (-2.15d-196)) then
        tmp = k * (((y * t_4) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))))
    else if (t <= (-1.05d-274)) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    else if (t <= 1.4d-223) then
        tmp = t_6
    else if (t <= 3.1d-197) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (t <= 9.8d-82) then
        tmp = t_6
    else if (t <= 2.6d+257) then
        tmp = y3 * ((y * t_3) + ((a * (z * y1)) - (c * (z * y0))))
    else
        tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = (i * y5) - (b * y4);
	double t_5 = (t * y2) - (y * y3);
	double t_6 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_5));
	double t_7 = y3 * (z * ((a * y1) - (c * y0)));
	double tmp;
	if (t <= -6.5e+104) {
		tmp = y5 * ((a * t_5) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.1e+59) {
		tmp = t_7;
	} else if (t <= -48000000000.0) {
		tmp = y * (((k * t_4) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	} else if (t <= -1.18e-21) {
		tmp = t_7;
	} else if (t <= -2.15e-196) {
		tmp = k * (((y * t_4) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))));
	} else if (t <= -1.05e-274) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (t <= 1.4e-223) {
		tmp = t_6;
	} else if (t <= 3.1e-197) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 9.8e-82) {
		tmp = t_6;
	} else if (t <= 2.6e+257) {
		tmp = y3 * ((y * t_3) + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = (a * y5) - (c * y4)
	t_3 = (c * y4) - (a * y5)
	t_4 = (i * y5) - (b * y4)
	t_5 = (t * y2) - (y * y3)
	t_6 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_5))
	t_7 = y3 * (z * ((a * y1) - (c * y0)))
	tmp = 0
	if t <= -6.5e+104:
		tmp = y5 * ((a * t_5) + (y0 * ((j * y3) - (k * y2))))
	elif t <= -3.1e+59:
		tmp = t_7
	elif t <= -48000000000.0:
		tmp = y * (((k * t_4) + (x * ((a * b) - (c * i)))) + (y3 * t_3))
	elif t <= -1.18e-21:
		tmp = t_7
	elif t <= -2.15e-196:
		tmp = k * (((y * t_4) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))))
	elif t <= -1.05e-274:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	elif t <= 1.4e-223:
		tmp = t_6
	elif t <= 3.1e-197:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif t <= 9.8e-82:
		tmp = t_6
	elif t <= 2.6e+257:
		tmp = y3 * ((y * t_3) + ((a * (z * y1)) - (c * (z * y0))))
	else:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(Float64(c * y4) - Float64(a * y5))
	t_4 = Float64(Float64(i * y5) - Float64(b * y4))
	t_5 = Float64(Float64(t * y2) - Float64(y * y3))
	t_6 = Float64(a * Float64(Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(b * Float64(Float64(x * y) - Float64(z * t)))) + Float64(y5 * t_5)))
	t_7 = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))
	tmp = 0.0
	if (t <= -6.5e+104)
		tmp = Float64(y5 * Float64(Float64(a * t_5) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -3.1e+59)
		tmp = t_7;
	elseif (t <= -48000000000.0)
		tmp = Float64(y * Float64(Float64(Float64(k * t_4) + Float64(x * Float64(Float64(a * b) - Float64(c * i)))) + Float64(y3 * t_3)));
	elseif (t <= -1.18e-21)
		tmp = t_7;
	elseif (t <= -2.15e-196)
		tmp = Float64(k * Float64(Float64(Float64(y * t_4) + Float64(y2 * t_1)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (t <= -1.05e-274)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)));
	elseif (t <= 1.4e-223)
		tmp = t_6;
	elseif (t <= 3.1e-197)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (t <= 9.8e-82)
		tmp = t_6;
	elseif (t <= 2.6e+257)
		tmp = Float64(y3 * Float64(Float64(y * t_3) + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	else
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(y2 * t_2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = (a * y5) - (c * y4);
	t_3 = (c * y4) - (a * y5);
	t_4 = (i * y5) - (b * y4);
	t_5 = (t * y2) - (y * y3);
	t_6 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_5));
	t_7 = y3 * (z * ((a * y1) - (c * y0)));
	tmp = 0.0;
	if (t <= -6.5e+104)
		tmp = y5 * ((a * t_5) + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -3.1e+59)
		tmp = t_7;
	elseif (t <= -48000000000.0)
		tmp = y * (((k * t_4) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	elseif (t <= -1.18e-21)
		tmp = t_7;
	elseif (t <= -2.15e-196)
		tmp = k * (((y * t_4) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))));
	elseif (t <= -1.05e-274)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	elseif (t <= 1.4e-223)
		tmp = t_6;
	elseif (t <= 3.1e-197)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (t <= 9.8e-82)
		tmp = t_6;
	elseif (t <= 2.6e+257)
		tmp = y3 * ((y * t_3) + ((a * (z * y1)) - (c * (z * y0))));
	else
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(a * N[(N[(N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -6.5e+104], N[(y5 * N[(N[(a * t$95$5), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.1e+59], t$95$7, If[LessEqual[t, -48000000000.0], N[(y * N[(N[(N[(k * t$95$4), $MachinePrecision] + N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.18e-21], t$95$7, If[LessEqual[t, -2.15e-196], N[(k * N[(N[(N[(y * t$95$4), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.05e-274], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.4e-223], t$95$6, If[LessEqual[t, 3.1e-197], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 9.8e-82], t$95$6, If[LessEqual[t, 2.6e+257], N[(y3 * N[(N[(y * t$95$3), $MachinePrecision] + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if t < -6.5000000000000005e104

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -6.5000000000000005e104 < t < -3.10000000000000015e59 or -4.8e10 < t < -1.18000000000000002e-21

   1. Initial program 23.1%

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

   3. Taylor expanded in y3 around -inf 46.3%

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

   4. Taylor expanded in z around inf 84.8%

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

   if -3.10000000000000015e59 < t < -4.8e10

   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 y around inf 77.8%

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

   if -1.18000000000000002e-21 < t < -2.1499999999999999e-196

   1. Initial program 28.8%

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

   3. Taylor expanded in k around inf 64.9%

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

   if -2.1499999999999999e-196 < t < -1.04999999999999997e-274

   1. Initial program 36.4%

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

   3. Taylor expanded in y2 around inf 77.6%

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

   if -1.04999999999999997e-274 < t < 1.40000000000000007e-223 or 3.10000000000000029e-197 < t < 9.8000000000000006e-82

   1. Initial program 45.3%

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

   3. Taylor expanded in a around inf 56.5%

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

   if 1.40000000000000007e-223 < t < 3.10000000000000029e-197

   1. Initial program 0.7%

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

   3. Taylor expanded in j around inf 78.1%

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

   4. Taylor expanded in x around inf 78.3%

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

   if 9.8000000000000006e-82 < t < 2.60000000000000021e257

   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 y3 around -inf 52.7%

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

   4. Taylor expanded in c around 0 57.9%

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

   5. Taylor expanded in j around 0 56.6%

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

   if 2.60000000000000021e257 < t

   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 t around inf 87.5%

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

4. Final simplification 65.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -6.5 \cdot 10^{+104}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.1 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -48000000000:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -1.18 \cdot 10^{-21}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.15 \cdot 10^{-196}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq -1.05 \cdot 10^{-274}:\\ \;\;\;\;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}\;t \leq 1.4 \cdot 10^{-223}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-197}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 53.3% accurate, 0.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := b \cdot y4 - i \cdot y5\\ t_3 := \left(\left(\left(\left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - z \cdot t\right) + \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + t\_2 \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot t\_1\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{if}\;t\_3 \leq \infty:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot t\_2\right) + y2 \cdot t\_1\right)\\ \end{array} \end{array} \]

FPCore

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

C

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

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y5) - (c * y4)
	t_2 = (b * y4) - (i * y5)
	t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (t_2 * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * t_1)) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if t_3 <= math.inf:
		tmp = t_3
	else:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_2)) + (y2 * 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 * y5) - Float64(c * y4))
	t_2 = Float64(Float64(b * y4) - Float64(i * y5))
	t_3 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(a * b) - Float64(c * i)) * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(Float64(i * y1) - Float64(b * y0)))) + Float64(Float64(Float64(c * y0) - Float64(a * y1)) * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(t_2 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * t_1)) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * t_2)) + Float64(y2 * t_1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y5) - (c * y4);
	t_2 = (b * y4) - (i * y5);
	t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (t_2 * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * t_1)) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = t * (((z * ((c * i) - (a * b))) + (j * t_2)) + (y2 * 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 * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(N[(N[(N[(N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$2 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, Infinity], t$95$3, N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y2 * 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 95.3%

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

   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 t around inf 39.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 56.8%

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

Alternative 3: 35.8% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := t \cdot y2 - y \cdot y3\\ t_4 := a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot t\_3\right)\\ t_5 := y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{if}\;t \leq -7.2 \cdot 10^{+105}:\\ \;\;\;\;y5 \cdot \left(a \cdot t\_3 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.9 \cdot 10^{+59}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t \leq -7600000000:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -7.3 \cdot 10^{-22}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-197}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t\_1\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-273}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_2\right)\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{-227}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-197}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-82}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot t\_2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* a y5) (* c y4)))
        (t_3 (- (* t y2) (* y y3)))
        (t_4
         (*
          a
          (+
           (+ (* y1 (- (* z y3) (* x y2))) (* b (- (* x y) (* z t))))
           (* y5 t_3))))
        (t_5 (* y3 (* z (- (* a y1) (* c y0))))))
   (if (<= t -7.2e+105)
     (* y5 (+ (* a t_3) (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -3.9e+59)
       t_5
       (if (<= t -7600000000.0)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= t -7.3e-22)
           t_5
           (if (<= t -5e-197)
             (*
              k
              (+
               (+ (* y (- (* i y5) (* b y4))) (* y2 t_1))
               (* z (- (* b y0) (* i y1)))))
             (if (<= t -1.8e-273)
               (* y2 (+ (+ (* k t_1) (* x (- (* c y0) (* a y1)))) (* t t_2)))
               (if (<= t 1.6e-227)
                 t_4
                 (if (<= t 2.2e-197)
                   (* j (* x (- (* i y1) (* b y0))))
                   (if (<= t 6e-82)
                     t_4
                     (if (<= t 2e+257)
                       (*
                        y3
                        (+
                         (* y (- (* c y4) (* a y5)))
                         (- (* a (* z y1)) (* c (* z y0)))))
                       (*
                        t
                        (+
                         (+
                          (* z (- (* c i) (* a b)))
                          (* j (- (* b y4) (* i y5))))
                         (* y2 t_2)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = (t * y2) - (y * y3);
	double t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_3));
	double t_5 = y3 * (z * ((a * y1) - (c * y0)));
	double tmp;
	if (t <= -7.2e+105) {
		tmp = y5 * ((a * t_3) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.9e+59) {
		tmp = t_5;
	} else if (t <= -7600000000.0) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -7.3e-22) {
		tmp = t_5;
	} else if (t <= -5e-197) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))));
	} else if (t <= -1.8e-273) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (t <= 1.6e-227) {
		tmp = t_4;
	} else if (t <= 2.2e-197) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 6e-82) {
		tmp = t_4;
	} else if (t <= 2e+257) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = (a * y5) - (c * y4)
    t_3 = (t * y2) - (y * y3)
    t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_3))
    t_5 = y3 * (z * ((a * y1) - (c * y0)))
    if (t <= (-7.2d+105)) then
        tmp = y5 * ((a * t_3) + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-3.9d+59)) then
        tmp = t_5
    else if (t <= (-7600000000.0d0)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (t <= (-7.3d-22)) then
        tmp = t_5
    else if (t <= (-5d-197)) then
        tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))))
    else if (t <= (-1.8d-273)) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    else if (t <= 1.6d-227) then
        tmp = t_4
    else if (t <= 2.2d-197) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (t <= 6d-82) then
        tmp = t_4
    else if (t <= 2d+257) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
    else
        tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = (t * y2) - (y * y3);
	double t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_3));
	double t_5 = y3 * (z * ((a * y1) - (c * y0)));
	double tmp;
	if (t <= -7.2e+105) {
		tmp = y5 * ((a * t_3) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.9e+59) {
		tmp = t_5;
	} else if (t <= -7600000000.0) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -7.3e-22) {
		tmp = t_5;
	} else if (t <= -5e-197) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))));
	} else if (t <= -1.8e-273) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (t <= 1.6e-227) {
		tmp = t_4;
	} else if (t <= 2.2e-197) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 6e-82) {
		tmp = t_4;
	} else if (t <= 2e+257) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = (a * y5) - (c * y4)
	t_3 = (t * y2) - (y * y3)
	t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_3))
	t_5 = y3 * (z * ((a * y1) - (c * y0)))
	tmp = 0
	if t <= -7.2e+105:
		tmp = y5 * ((a * t_3) + (y0 * ((j * y3) - (k * y2))))
	elif t <= -3.9e+59:
		tmp = t_5
	elif t <= -7600000000.0:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif t <= -7.3e-22:
		tmp = t_5
	elif t <= -5e-197:
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))))
	elif t <= -1.8e-273:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	elif t <= 1.6e-227:
		tmp = t_4
	elif t <= 2.2e-197:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif t <= 6e-82:
		tmp = t_4
	elif t <= 2e+257:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
	else:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(Float64(t * y2) - Float64(y * y3))
	t_4 = Float64(a * Float64(Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(b * Float64(Float64(x * y) - Float64(z * t)))) + Float64(y5 * t_3)))
	t_5 = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))
	tmp = 0.0
	if (t <= -7.2e+105)
		tmp = Float64(y5 * Float64(Float64(a * t_3) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -3.9e+59)
		tmp = t_5;
	elseif (t <= -7600000000.0)
		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 (t <= -7.3e-22)
		tmp = t_5;
	elseif (t <= -5e-197)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_1)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (t <= -1.8e-273)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)));
	elseif (t <= 1.6e-227)
		tmp = t_4;
	elseif (t <= 2.2e-197)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (t <= 6e-82)
		tmp = t_4;
	elseif (t <= 2e+257)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	else
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(y2 * t_2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = (a * y5) - (c * y4);
	t_3 = (t * y2) - (y * y3);
	t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_3));
	t_5 = y3 * (z * ((a * y1) - (c * y0)));
	tmp = 0.0;
	if (t <= -7.2e+105)
		tmp = y5 * ((a * t_3) + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -3.9e+59)
		tmp = t_5;
	elseif (t <= -7600000000.0)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (t <= -7.3e-22)
		tmp = t_5;
	elseif (t <= -5e-197)
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_1)) + (z * ((b * y0) - (i * y1))));
	elseif (t <= -1.8e-273)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	elseif (t <= 1.6e-227)
		tmp = t_4;
	elseif (t <= 2.2e-197)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (t <= 6e-82)
		tmp = t_4;
	elseif (t <= 2e+257)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	else
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(a * N[(N[(N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -7.2e+105], N[(y5 * N[(N[(a * t$95$3), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.9e+59], t$95$5, If[LessEqual[t, -7600000000.0], 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[t, -7.3e-22], t$95$5, If[LessEqual[t, -5e-197], N[(k * N[(N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.8e-273], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.6e-227], t$95$4, If[LessEqual[t, 2.2e-197], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6e-82], t$95$4, If[LessEqual[t, 2e+257], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if t < -7.1999999999999998e105

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -7.1999999999999998e105 < t < -3.90000000000000021e59 or -7.6e9 < t < -7.30000000000000028e-22

   1. Initial program 23.1%

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

   3. Taylor expanded in y3 around -inf 46.3%

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

   4. Taylor expanded in z around inf 84.8%

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

   if -3.90000000000000021e59 < t < -7.6e9

   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 y4 around inf 77.8%

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

   if -7.30000000000000028e-22 < t < -5.0000000000000002e-197

   1. Initial program 28.8%

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

   3. Taylor expanded in k around inf 64.9%

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

   if -5.0000000000000002e-197 < t < -1.79999999999999996e-273

   1. Initial program 36.4%

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

   3. Taylor expanded in y2 around inf 77.6%

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

   if -1.79999999999999996e-273 < t < 1.60000000000000005e-227 or 2.2e-197 < t < 5.9999999999999998e-82

   1. Initial program 45.3%

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

   3. Taylor expanded in a around inf 56.5%

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

   if 1.60000000000000005e-227 < t < 2.2e-197

   1. Initial program 0.7%

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

   3. Taylor expanded in j around inf 78.1%

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

   4. Taylor expanded in x around inf 78.3%

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

   if 5.9999999999999998e-82 < t < 2.00000000000000006e257

   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 y3 around -inf 52.7%

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

   4. Taylor expanded in c around 0 57.9%

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

   5. Taylor expanded in j around 0 56.6%

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

   if 2.00000000000000006e257 < t

   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 t around inf 87.5%

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

4. Final simplification 65.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7.2 \cdot 10^{+105}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.9 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -7600000000:\\ \;\;\;\;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}\;t \leq -7.3 \cdot 10^{-22}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-197}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-273}:\\ \;\;\;\;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}\;t \leq 1.6 \cdot 10^{-227}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-197}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 39.1% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := c \cdot y4 - a \cdot y5\\ t_4 := y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot t\_3\right)\\ t_5 := y3 \cdot \left(y \cdot t\_3 - \left(j \cdot t\_1 + \left(c \cdot \left(z \cdot y0\right) - a \cdot \left(z \cdot y1\right)\right)\right)\right)\\ t_6 := a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ t_7 := z \cdot y3 - x \cdot y2\\ \mathbf{if}\;y3 \leq -3.7 \cdot 10^{+125}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq -2.8 \cdot 10^{+44}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_2\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{+17}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-41}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y3 \leq -3.2 \cdot 10^{-105}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{-171}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y3 \leq -4.1 \cdot 10^{-229}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_2\right)\\ \mathbf{elif}\;y3 \leq 7.2 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot t\_7 + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 7.5 \cdot 10^{+202}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot t\_7 + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* a y5) (* c y4)))
        (t_3 (- (* c y4) (* a y5)))
        (t_4
         (*
          y
          (+
           (+ (* k (- (* i y5) (* b y4))) (* x (- (* a b) (* c i))))
           (* y3 t_3))))
        (t_5
         (* y3 (- (* y t_3) (+ (* j t_1) (- (* c (* z y0)) (* a (* z y1)))))))
        (t_6 (* a (* y3 (- (* z y1) (* y y5)))))
        (t_7 (- (* z y3) (* x y2))))
   (if (<= y3 -3.7e+125)
     t_5
     (if (<= y3 -2.8e+44)
       (* t (* y2 t_2))
       (if (<= y3 -9.5e+17)
         t_6
         (if (<= y3 -8.2e-41)
           t_4
           (if (<= y3 -3.2e-105)
             t_6
             (if (<= y3 -3e-171)
               t_4
               (if (<= y3 -4.1e-229)
                 (* y2 (+ (+ (* k t_1) (* x (- (* c y0) (* a y1)))) (* t t_2)))
                 (if (<= y3 7.2e-106)
                   (*
                    a
                    (+
                     (+ (* y1 t_7) (* b (- (* x y) (* z t))))
                     (* y5 (- (* t y2) (* y y3)))))
                   (if (<= y3 7.5e+202)
                     (*
                      y1
                      (+
                       (+ (* a t_7) (* y4 (- (* k y2) (* j y3))))
                       (* i (- (* x j) (* z k)))))
                     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 = (y1 * y4) - (y0 * y5);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	double t_5 = y3 * ((y * t_3) - ((j * t_1) + ((c * (z * y0)) - (a * (z * y1)))));
	double t_6 = a * (y3 * ((z * y1) - (y * y5)));
	double t_7 = (z * y3) - (x * y2);
	double tmp;
	if (y3 <= -3.7e+125) {
		tmp = t_5;
	} else if (y3 <= -2.8e+44) {
		tmp = t * (y2 * t_2);
	} else if (y3 <= -9.5e+17) {
		tmp = t_6;
	} else if (y3 <= -8.2e-41) {
		tmp = t_4;
	} else if (y3 <= -3.2e-105) {
		tmp = t_6;
	} else if (y3 <= -3e-171) {
		tmp = t_4;
	} else if (y3 <= -4.1e-229) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (y3 <= 7.2e-106) {
		tmp = a * (((y1 * t_7) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= 7.5e+202) {
		tmp = y1 * (((a * t_7) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} 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) :: t_7
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = (a * y5) - (c * y4)
    t_3 = (c * y4) - (a * y5)
    t_4 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3))
    t_5 = y3 * ((y * t_3) - ((j * t_1) + ((c * (z * y0)) - (a * (z * y1)))))
    t_6 = a * (y3 * ((z * y1) - (y * y5)))
    t_7 = (z * y3) - (x * y2)
    if (y3 <= (-3.7d+125)) then
        tmp = t_5
    else if (y3 <= (-2.8d+44)) then
        tmp = t * (y2 * t_2)
    else if (y3 <= (-9.5d+17)) then
        tmp = t_6
    else if (y3 <= (-8.2d-41)) then
        tmp = t_4
    else if (y3 <= (-3.2d-105)) then
        tmp = t_6
    else if (y3 <= (-3d-171)) then
        tmp = t_4
    else if (y3 <= (-4.1d-229)) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    else if (y3 <= 7.2d-106) then
        tmp = a * (((y1 * t_7) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))))
    else if (y3 <= 7.5d+202) then
        tmp = y1 * (((a * t_7) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
    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 = (y1 * y4) - (y0 * y5);
	double t_2 = (a * y5) - (c * y4);
	double t_3 = (c * y4) - (a * y5);
	double t_4 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	double t_5 = y3 * ((y * t_3) - ((j * t_1) + ((c * (z * y0)) - (a * (z * y1)))));
	double t_6 = a * (y3 * ((z * y1) - (y * y5)));
	double t_7 = (z * y3) - (x * y2);
	double tmp;
	if (y3 <= -3.7e+125) {
		tmp = t_5;
	} else if (y3 <= -2.8e+44) {
		tmp = t * (y2 * t_2);
	} else if (y3 <= -9.5e+17) {
		tmp = t_6;
	} else if (y3 <= -8.2e-41) {
		tmp = t_4;
	} else if (y3 <= -3.2e-105) {
		tmp = t_6;
	} else if (y3 <= -3e-171) {
		tmp = t_4;
	} else if (y3 <= -4.1e-229) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (y3 <= 7.2e-106) {
		tmp = a * (((y1 * t_7) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= 7.5e+202) {
		tmp = y1 * (((a * t_7) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} 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 = (y1 * y4) - (y0 * y5)
	t_2 = (a * y5) - (c * y4)
	t_3 = (c * y4) - (a * y5)
	t_4 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3))
	t_5 = y3 * ((y * t_3) - ((j * t_1) + ((c * (z * y0)) - (a * (z * y1)))))
	t_6 = a * (y3 * ((z * y1) - (y * y5)))
	t_7 = (z * y3) - (x * y2)
	tmp = 0
	if y3 <= -3.7e+125:
		tmp = t_5
	elif y3 <= -2.8e+44:
		tmp = t * (y2 * t_2)
	elif y3 <= -9.5e+17:
		tmp = t_6
	elif y3 <= -8.2e-41:
		tmp = t_4
	elif y3 <= -3.2e-105:
		tmp = t_6
	elif y3 <= -3e-171:
		tmp = t_4
	elif y3 <= -4.1e-229:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	elif y3 <= 7.2e-106:
		tmp = a * (((y1 * t_7) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))))
	elif y3 <= 7.5e+202:
		tmp = y1 * (((a * t_7) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
	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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(Float64(c * y4) - Float64(a * y5))
	t_4 = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * Float64(Float64(a * b) - Float64(c * i)))) + Float64(y3 * t_3)))
	t_5 = Float64(y3 * Float64(Float64(y * t_3) - Float64(Float64(j * t_1) + Float64(Float64(c * Float64(z * y0)) - Float64(a * Float64(z * y1))))))
	t_6 = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))))
	t_7 = Float64(Float64(z * y3) - Float64(x * y2))
	tmp = 0.0
	if (y3 <= -3.7e+125)
		tmp = t_5;
	elseif (y3 <= -2.8e+44)
		tmp = Float64(t * Float64(y2 * t_2));
	elseif (y3 <= -9.5e+17)
		tmp = t_6;
	elseif (y3 <= -8.2e-41)
		tmp = t_4;
	elseif (y3 <= -3.2e-105)
		tmp = t_6;
	elseif (y3 <= -3e-171)
		tmp = t_4;
	elseif (y3 <= -4.1e-229)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)));
	elseif (y3 <= 7.2e-106)
		tmp = Float64(a * Float64(Float64(Float64(y1 * t_7) + Float64(b * Float64(Float64(x * y) - Float64(z * t)))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (y3 <= 7.5e+202)
		tmp = Float64(y1 * Float64(Float64(Float64(a * t_7) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	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 = (y1 * y4) - (y0 * y5);
	t_2 = (a * y5) - (c * y4);
	t_3 = (c * y4) - (a * y5);
	t_4 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_3));
	t_5 = y3 * ((y * t_3) - ((j * t_1) + ((c * (z * y0)) - (a * (z * y1)))));
	t_6 = a * (y3 * ((z * y1) - (y * y5)));
	t_7 = (z * y3) - (x * y2);
	tmp = 0.0;
	if (y3 <= -3.7e+125)
		tmp = t_5;
	elseif (y3 <= -2.8e+44)
		tmp = t * (y2 * t_2);
	elseif (y3 <= -9.5e+17)
		tmp = t_6;
	elseif (y3 <= -8.2e-41)
		tmp = t_4;
	elseif (y3 <= -3.2e-105)
		tmp = t_6;
	elseif (y3 <= -3e-171)
		tmp = t_4;
	elseif (y3 <= -4.1e-229)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	elseif (y3 <= 7.2e-106)
		tmp = a * (((y1 * t_7) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))));
	elseif (y3 <= 7.5e+202)
		tmp = y1 * (((a * t_7) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y3 * N[(N[(y * t$95$3), $MachinePrecision] - N[(N[(j * t$95$1), $MachinePrecision] + N[(N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision] - N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.7e+125], t$95$5, If[LessEqual[y3, -2.8e+44], N[(t * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9.5e+17], t$95$6, If[LessEqual[y3, -8.2e-41], t$95$4, If[LessEqual[y3, -3.2e-105], t$95$6, If[LessEqual[y3, -3e-171], t$95$4, If[LessEqual[y3, -4.1e-229], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 7.2e-106], N[(a * N[(N[(N[(y1 * t$95$7), $MachinePrecision] + N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 7.5e+202], N[(y1 * N[(N[(N[(a * t$95$7), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$5]]]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -3.6999999999999998e125 or 7.4999999999999999e202 < y3

   1. Initial program 30.8%

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

   3. Taylor expanded in y3 around -inf 69.5%

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

   4. Taylor expanded in c around 0 72.1%

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

   if -3.6999999999999998e125 < y3 < -2.8000000000000001e44

   1. Initial program 45.5%

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

   3. Taylor expanded in y2 around inf 64.0%

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

   4. Taylor expanded in t around inf 73.7%

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

   if -2.8000000000000001e44 < y3 < -9.5e17 or -8.20000000000000028e-41 < y3 < -3.19999999999999981e-105

   1. Initial program 22.7%

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

   3. Taylor expanded in y3 around -inf 50.2%

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

   4. Taylor expanded in a around -inf 73.5%

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

      1. mul-1-neg 73.5%

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

   6. Simplified 73.5%

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

   if -9.5e17 < y3 < -8.20000000000000028e-41 or -3.19999999999999981e-105 < y3 < -3e-171

   1. Initial program 25.7%

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

   3. Taylor expanded in y around inf 63.0%

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

   if -3e-171 < y3 < -4.1e-229

   1. Initial program 37.9%

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

   3. Taylor expanded in y2 around inf 73.8%

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

   if -4.1e-229 < y3 < 7.20000000000000025e-106

   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 a around inf 60.6%

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

   if 7.20000000000000025e-106 < y3 < 7.4999999999999999e202

   1. Initial program 29.6%

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

   3. Taylor expanded in y1 around inf 46.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 62.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.7 \cdot 10^{+125}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(c \cdot \left(z \cdot y0\right) - a \cdot \left(z \cdot y1\right)\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -2.8 \cdot 10^{+44}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{+17}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-41}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3.2 \cdot 10^{-105}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{-171}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -4.1 \cdot 10^{-229}:\\ \;\;\;\;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}\;y3 \leq 7.2 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 7.5 \cdot 10^{+202}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(c \cdot \left(z \cdot y0\right) - a \cdot \left(z \cdot y1\right)\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 40.3% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot y3 - x \cdot y2\\ t_2 := y0 \cdot y5 - y1 \cdot y4\\ t_3 := a \cdot y5 - c \cdot y4\\ t_4 := c \cdot y4 - a \cdot y5\\ t_5 := y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot t\_2\right) + y \cdot t\_4\right)\\ t_6 := y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot t\_4\right)\\ \mathbf{if}\;y3 \leq -4.2 \cdot 10^{+125}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{+45}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_3\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{+18}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.85 \cdot 10^{-39}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq -4.6 \cdot 10^{-140}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot t\_2\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -6.2 \cdot 10^{-171}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq -2.2 \cdot 10^{-229}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_3\right)\\ \mathbf{elif}\;y3 \leq 3.6 \cdot 10^{-103}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot t\_1 + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{+200}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot t\_1 + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z y3) (* x y2)))
        (t_2 (- (* y0 y5) (* y1 y4)))
        (t_3 (- (* a y5) (* c y4)))
        (t_4 (- (* c y4) (* a y5)))
        (t_5 (* y3 (+ (+ (* z (- (* a y1) (* c y0))) (* j t_2)) (* y t_4))))
        (t_6
         (*
          y
          (+
           (+ (* k (- (* i y5) (* b y4))) (* x (- (* a b) (* c i))))
           (* y3 t_4)))))
   (if (<= y3 -4.2e+125)
     t_5
     (if (<= y3 -3e+45)
       (* t (* y2 t_3))
       (if (<= y3 -1.25e+18)
         (* a (* y3 (- (* z y1) (* y y5))))
         (if (<= y3 -1.85e-39)
           t_6
           (if (<= y3 -4.6e-140)
             (*
              j
              (+
               (+ (* t (- (* b y4) (* i y5))) (* y3 t_2))
               (* x (- (* i y1) (* b y0)))))
             (if (<= y3 -6.2e-171)
               t_6
               (if (<= y3 -2.2e-229)
                 (*
                  y2
                  (+
                   (+
                    (* k (- (* y1 y4) (* y0 y5)))
                    (* x (- (* c y0) (* a y1))))
                   (* t t_3)))
                 (if (<= y3 3.6e-103)
                   (*
                    a
                    (+
                     (+ (* y1 t_1) (* b (- (* x y) (* z t))))
                     (* y5 (- (* t y2) (* y y3)))))
                   (if (<= y3 1.7e+200)
                     (*
                      y1
                      (+
                       (+ (* a t_1) (* y4 (- (* k y2) (* j y3))))
                       (* i (- (* x j) (* z k)))))
                     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 = (z * y3) - (x * y2);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = (a * y5) - (c * y4);
	double t_4 = (c * y4) - (a * y5);
	double t_5 = y3 * (((z * ((a * y1) - (c * y0))) + (j * t_2)) + (y * t_4));
	double t_6 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_4));
	double tmp;
	if (y3 <= -4.2e+125) {
		tmp = t_5;
	} else if (y3 <= -3e+45) {
		tmp = t * (y2 * t_3);
	} else if (y3 <= -1.25e+18) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1.85e-39) {
		tmp = t_6;
	} else if (y3 <= -4.6e-140) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))));
	} else if (y3 <= -6.2e-171) {
		tmp = t_6;
	} else if (y3 <= -2.2e-229) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_3));
	} else if (y3 <= 3.6e-103) {
		tmp = a * (((y1 * t_1) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= 1.7e+200) {
		tmp = y1 * (((a * t_1) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} 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 = (z * y3) - (x * y2)
    t_2 = (y0 * y5) - (y1 * y4)
    t_3 = (a * y5) - (c * y4)
    t_4 = (c * y4) - (a * y5)
    t_5 = y3 * (((z * ((a * y1) - (c * y0))) + (j * t_2)) + (y * t_4))
    t_6 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_4))
    if (y3 <= (-4.2d+125)) then
        tmp = t_5
    else if (y3 <= (-3d+45)) then
        tmp = t * (y2 * t_3)
    else if (y3 <= (-1.25d+18)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-1.85d-39)) then
        tmp = t_6
    else if (y3 <= (-4.6d-140)) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))))
    else if (y3 <= (-6.2d-171)) then
        tmp = t_6
    else if (y3 <= (-2.2d-229)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_3))
    else if (y3 <= 3.6d-103) then
        tmp = a * (((y1 * t_1) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))))
    else if (y3 <= 1.7d+200) then
        tmp = y1 * (((a * t_1) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
    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 = (z * y3) - (x * y2);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = (a * y5) - (c * y4);
	double t_4 = (c * y4) - (a * y5);
	double t_5 = y3 * (((z * ((a * y1) - (c * y0))) + (j * t_2)) + (y * t_4));
	double t_6 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_4));
	double tmp;
	if (y3 <= -4.2e+125) {
		tmp = t_5;
	} else if (y3 <= -3e+45) {
		tmp = t * (y2 * t_3);
	} else if (y3 <= -1.25e+18) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1.85e-39) {
		tmp = t_6;
	} else if (y3 <= -4.6e-140) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))));
	} else if (y3 <= -6.2e-171) {
		tmp = t_6;
	} else if (y3 <= -2.2e-229) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_3));
	} else if (y3 <= 3.6e-103) {
		tmp = a * (((y1 * t_1) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= 1.7e+200) {
		tmp = y1 * (((a * t_1) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} 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 = (z * y3) - (x * y2)
	t_2 = (y0 * y5) - (y1 * y4)
	t_3 = (a * y5) - (c * y4)
	t_4 = (c * y4) - (a * y5)
	t_5 = y3 * (((z * ((a * y1) - (c * y0))) + (j * t_2)) + (y * t_4))
	t_6 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_4))
	tmp = 0
	if y3 <= -4.2e+125:
		tmp = t_5
	elif y3 <= -3e+45:
		tmp = t * (y2 * t_3)
	elif y3 <= -1.25e+18:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -1.85e-39:
		tmp = t_6
	elif y3 <= -4.6e-140:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))))
	elif y3 <= -6.2e-171:
		tmp = t_6
	elif y3 <= -2.2e-229:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_3))
	elif y3 <= 3.6e-103:
		tmp = a * (((y1 * t_1) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))))
	elif y3 <= 1.7e+200:
		tmp = y1 * (((a * t_1) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
	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(z * y3) - Float64(x * y2))
	t_2 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_3 = Float64(Float64(a * y5) - Float64(c * y4))
	t_4 = Float64(Float64(c * y4) - Float64(a * y5))
	t_5 = Float64(y3 * Float64(Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * t_2)) + Float64(y * t_4)))
	t_6 = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * Float64(Float64(a * b) - Float64(c * i)))) + Float64(y3 * t_4)))
	tmp = 0.0
	if (y3 <= -4.2e+125)
		tmp = t_5;
	elseif (y3 <= -3e+45)
		tmp = Float64(t * Float64(y2 * t_3));
	elseif (y3 <= -1.25e+18)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -1.85e-39)
		tmp = t_6;
	elseif (y3 <= -4.6e-140)
		tmp = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * t_2)) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y3 <= -6.2e-171)
		tmp = t_6;
	elseif (y3 <= -2.2e-229)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_3)));
	elseif (y3 <= 3.6e-103)
		tmp = Float64(a * Float64(Float64(Float64(y1 * t_1) + Float64(b * Float64(Float64(x * y) - Float64(z * t)))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (y3 <= 1.7e+200)
		tmp = Float64(y1 * Float64(Float64(Float64(a * t_1) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	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 = (z * y3) - (x * y2);
	t_2 = (y0 * y5) - (y1 * y4);
	t_3 = (a * y5) - (c * y4);
	t_4 = (c * y4) - (a * y5);
	t_5 = y3 * (((z * ((a * y1) - (c * y0))) + (j * t_2)) + (y * t_4));
	t_6 = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * t_4));
	tmp = 0.0;
	if (y3 <= -4.2e+125)
		tmp = t_5;
	elseif (y3 <= -3e+45)
		tmp = t * (y2 * t_3);
	elseif (y3 <= -1.25e+18)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -1.85e-39)
		tmp = t_6;
	elseif (y3 <= -4.6e-140)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_2)) + (x * ((i * y1) - (b * y0))));
	elseif (y3 <= -6.2e-171)
		tmp = t_6;
	elseif (y3 <= -2.2e-229)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_3));
	elseif (y3 <= 3.6e-103)
		tmp = a * (((y1 * t_1) + (b * ((x * y) - (z * t)))) + (y5 * ((t * y2) - (y * y3))));
	elseif (y3 <= 1.7e+200)
		tmp = y1 * (((a * t_1) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	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[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y3 * N[(N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -4.2e+125], t$95$5, If[LessEqual[y3, -3e+45], N[(t * N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.25e+18], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.85e-39], t$95$6, If[LessEqual[y3, -4.6e-140], N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -6.2e-171], t$95$6, If[LessEqual[y3, -2.2e-229], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.6e-103], N[(a * N[(N[(N[(y1 * t$95$1), $MachinePrecision] + N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.7e+200], N[(y1 * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$5]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -4.2000000000000001e125 or 1.69999999999999985e200 < y3

   1. Initial program 30.8%

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

   3. Taylor expanded in y3 around -inf 69.5%

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

   if -4.2000000000000001e125 < y3 < -3.00000000000000011e45

   1. Initial program 45.5%

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

   3. Taylor expanded in y2 around inf 64.0%

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

   4. Taylor expanded in t around inf 73.7%

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

   if -3.00000000000000011e45 < y3 < -1.25e18

   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 y3 around -inf 75.0%

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

   4. Taylor expanded in a around -inf 100.0%

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

      1. mul-1-neg 100.0%

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

   6. Simplified 100.0%

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

   if -1.25e18 < y3 < -1.85000000000000007e-39 or -4.6000000000000002e-140 < y3 < -6.2000000000000001e-171

   1. Initial program 26.9%

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

   3. Taylor expanded in y around inf 61.6%

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

   if -1.85000000000000007e-39 < y3 < -4.6000000000000002e-140

   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 j around inf 61.7%

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

   if -6.2000000000000001e-171 < y3 < -2.1999999999999999e-229

   1. Initial program 37.9%

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

   3. Taylor expanded in y2 around inf 73.8%

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

   if -2.1999999999999999e-229 < y3 < 3.5999999999999998e-103

   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 a around inf 60.6%

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

   if 3.5999999999999998e-103 < y3 < 1.69999999999999985e200

   1. Initial program 29.6%

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

   3. Taylor expanded in y1 around inf 46.8%

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

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -4.2 \cdot 10^{+125}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{+45}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{+18}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.85 \cdot 10^{-39}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -4.6 \cdot 10^{-140}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq -6.2 \cdot 10^{-171}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.2 \cdot 10^{-229}:\\ \;\;\;\;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}\;y3 \leq 3.6 \cdot 10^{-103}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{+200}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 36.0% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := t \cdot y2 - y \cdot y3\\ t_3 := a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot t\_2\right)\\ t_4 := t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot t\_1\right)\\ t_5 := y \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{if}\;t \leq -2.4 \cdot 10^{+108}:\\ \;\;\;\;y5 \cdot \left(a \cdot t\_2 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{+32}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-16}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t \leq -2.45 \cdot 10^{-197}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + t\_5\right)\\ \mathbf{elif}\;t \leq -1.05 \cdot 10^{-272}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_1\right)\\ \mathbf{elif}\;t \leq 5.6 \cdot 10^{-225}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 6.9 \cdot 10^{-199}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-82}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(t\_5 + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y5) (* c y4)))
        (t_2 (- (* t y2) (* y y3)))
        (t_3
         (*
          a
          (+
           (+ (* y1 (- (* z y3) (* x y2))) (* b (- (* x y) (* z t))))
           (* y5 t_2))))
        (t_4
         (*
          t
          (+
           (+ (* z (- (* c i) (* a b))) (* j (- (* b y4) (* i y5))))
           (* y2 t_1))))
        (t_5 (* y (- (* c y4) (* a y5)))))
   (if (<= t -2.4e+108)
     (* y5 (+ (* a t_2) (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -1.7e+32)
       t_3
       (if (<= t -6.4e-16)
         t_4
         (if (<= t -2.45e-197)
           (*
            y3
            (+
             (+ (* z (- (* a y1) (* c y0))) (* j (- (* y0 y5) (* y1 y4))))
             t_5))
           (if (<= t -1.05e-272)
             (*
              y2
              (+
               (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
               (* t t_1)))
             (if (<= t 5.6e-225)
               t_3
               (if (<= t 6.9e-199)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= t 2.8e-82)
                   t_3
                   (if (<= t 2e+257)
                     (* y3 (+ t_5 (- (* a (* z y1)) (* c (* z y0)))))
                     t_4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_2));
	double t_4 = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_1));
	double t_5 = y * ((c * y4) - (a * y5));
	double tmp;
	if (t <= -2.4e+108) {
		tmp = y5 * ((a * t_2) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -1.7e+32) {
		tmp = t_3;
	} else if (t <= -6.4e-16) {
		tmp = t_4;
	} else if (t <= -2.45e-197) {
		tmp = y3 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + t_5);
	} else if (t <= -1.05e-272) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else if (t <= 5.6e-225) {
		tmp = t_3;
	} else if (t <= 6.9e-199) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 2.8e-82) {
		tmp = t_3;
	} else if (t <= 2e+257) {
		tmp = y3 * (t_5 + ((a * (z * y1)) - (c * (z * y0))));
	} 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 = (a * y5) - (c * y4)
    t_2 = (t * y2) - (y * y3)
    t_3 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_2))
    t_4 = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_1))
    t_5 = y * ((c * y4) - (a * y5))
    if (t <= (-2.4d+108)) then
        tmp = y5 * ((a * t_2) + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-1.7d+32)) then
        tmp = t_3
    else if (t <= (-6.4d-16)) then
        tmp = t_4
    else if (t <= (-2.45d-197)) then
        tmp = y3 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + t_5)
    else if (t <= (-1.05d-272)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
    else if (t <= 5.6d-225) then
        tmp = t_3
    else if (t <= 6.9d-199) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (t <= 2.8d-82) then
        tmp = t_3
    else if (t <= 2d+257) then
        tmp = y3 * (t_5 + ((a * (z * y1)) - (c * (z * y0))))
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_2));
	double t_4 = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_1));
	double t_5 = y * ((c * y4) - (a * y5));
	double tmp;
	if (t <= -2.4e+108) {
		tmp = y5 * ((a * t_2) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -1.7e+32) {
		tmp = t_3;
	} else if (t <= -6.4e-16) {
		tmp = t_4;
	} else if (t <= -2.45e-197) {
		tmp = y3 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + t_5);
	} else if (t <= -1.05e-272) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else if (t <= 5.6e-225) {
		tmp = t_3;
	} else if (t <= 6.9e-199) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 2.8e-82) {
		tmp = t_3;
	} else if (t <= 2e+257) {
		tmp = y3 * (t_5 + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y5) - (c * y4)
	t_2 = (t * y2) - (y * y3)
	t_3 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_2))
	t_4 = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_1))
	t_5 = y * ((c * y4) - (a * y5))
	tmp = 0
	if t <= -2.4e+108:
		tmp = y5 * ((a * t_2) + (y0 * ((j * y3) - (k * y2))))
	elif t <= -1.7e+32:
		tmp = t_3
	elif t <= -6.4e-16:
		tmp = t_4
	elif t <= -2.45e-197:
		tmp = y3 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + t_5)
	elif t <= -1.05e-272:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
	elif t <= 5.6e-225:
		tmp = t_3
	elif t <= 6.9e-199:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif t <= 2.8e-82:
		tmp = t_3
	elif t <= 2e+257:
		tmp = y3 * (t_5 + ((a * (z * y1)) - (c * (z * y0))))
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y5) - Float64(c * y4))
	t_2 = Float64(Float64(t * y2) - Float64(y * y3))
	t_3 = Float64(a * Float64(Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(b * Float64(Float64(x * y) - Float64(z * t)))) + Float64(y5 * t_2)))
	t_4 = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(y2 * t_1)))
	t_5 = Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))
	tmp = 0.0
	if (t <= -2.4e+108)
		tmp = Float64(y5 * Float64(Float64(a * t_2) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -1.7e+32)
		tmp = t_3;
	elseif (t <= -6.4e-16)
		tmp = t_4;
	elseif (t <= -2.45e-197)
		tmp = Float64(y3 * Float64(Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + t_5));
	elseif (t <= -1.05e-272)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_1)));
	elseif (t <= 5.6e-225)
		tmp = t_3;
	elseif (t <= 6.9e-199)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (t <= 2.8e-82)
		tmp = t_3;
	elseif (t <= 2e+257)
		tmp = Float64(y3 * Float64(t_5 + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y5) - (c * y4);
	t_2 = (t * y2) - (y * y3);
	t_3 = a * (((y1 * ((z * y3) - (x * y2))) + (b * ((x * y) - (z * t)))) + (y5 * t_2));
	t_4 = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * t_1));
	t_5 = y * ((c * y4) - (a * y5));
	tmp = 0.0;
	if (t <= -2.4e+108)
		tmp = y5 * ((a * t_2) + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -1.7e+32)
		tmp = t_3;
	elseif (t <= -6.4e-16)
		tmp = t_4;
	elseif (t <= -2.45e-197)
		tmp = y3 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + t_5);
	elseif (t <= -1.05e-272)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	elseif (t <= 5.6e-225)
		tmp = t_3;
	elseif (t <= 6.9e-199)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (t <= 2.8e-82)
		tmp = t_3;
	elseif (t <= 2e+257)
		tmp = y3 * (t_5 + ((a * (z * y1)) - (c * (z * y0))));
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(N[(N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.4e+108], N[(y5 * N[(N[(a * t$95$2), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.7e+32], t$95$3, If[LessEqual[t, -6.4e-16], t$95$4, If[LessEqual[t, -2.45e-197], N[(y3 * N[(N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.05e-272], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 5.6e-225], t$95$3, If[LessEqual[t, 6.9e-199], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.8e-82], t$95$3, If[LessEqual[t, 2e+257], N[(y3 * N[(t$95$5 + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if t < -2.40000000000000019e108

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -2.40000000000000019e108 < t < -1.69999999999999989e32 or -1.04999999999999993e-272 < t < 5.6e-225 or 6.9000000000000004e-199 < t < 2.80000000000000024e-82

   1. Initial program 45.4%

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

   3. Taylor expanded in a around inf 59.9%

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

   if -1.69999999999999989e32 < t < -6.40000000000000046e-16 or 2.00000000000000006e257 < t

   1. Initial program 20.8%

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

   3. Taylor expanded in t around inf 79.4%

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

   if -6.40000000000000046e-16 < t < -2.4500000000000001e-197

   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 y3 around -inf 55.5%

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

   if -2.4500000000000001e-197 < t < -1.04999999999999993e-272

   1. Initial program 36.4%

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

   3. Taylor expanded in y2 around inf 77.6%

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

   if 5.6e-225 < t < 6.9000000000000004e-199

   1. Initial program 0.7%

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

   3. Taylor expanded in j around inf 78.1%

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

   4. Taylor expanded in x around inf 78.3%

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

   if 2.80000000000000024e-82 < t < 2.00000000000000006e257

   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 y3 around -inf 52.7%

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

   4. Taylor expanded in c around 0 57.9%

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

   5. Taylor expanded in j around 0 56.6%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right) + c \cdot \left(y0 \cdot z\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 62.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.4 \cdot 10^{+108}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{+32}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-16}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq -2.45 \cdot 10^{-197}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -1.05 \cdot 10^{-272}:\\ \;\;\;\;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}\;t \leq 5.6 \cdot 10^{-225}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 6.9 \cdot 10^{-199}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 34.8% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(a \cdot y1 - c \cdot y0\right)\\ t_2 := y \cdot \left(c \cdot y4 - a \cdot y5\right)\\ t_3 := y3 \cdot \left(\left(t\_1 + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + t\_2\right)\\ t_4 := a \cdot y5 - c \cdot y4\\ \mathbf{if}\;t \leq -1.2 \cdot 10^{+105}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.7 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot t\_1\\ \mathbf{elif}\;t \leq -3.8 \cdot 10^{+33}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.1 \cdot 10^{-196}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-295}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_4\right)\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-224}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-178}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-81}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(t\_2 + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot t\_4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (- (* a y1) (* c y0))))
        (t_2 (* y (- (* c y4) (* a y5))))
        (t_3 (* y3 (+ (+ t_1 (* j (- (* y0 y5) (* y1 y4)))) t_2)))
        (t_4 (- (* a y5) (* c y4))))
   (if (<= t -1.2e+105)
     (* y5 (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -3.7e+59)
       (* y3 t_1)
       (if (<= t -3.8e+33)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= t -3.1e-196)
           t_3
           (if (<= t 6e-295)
             (*
              y2
              (+
               (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
               (* t t_4)))
             (if (<= t 6.5e-224)
               t_3
               (if (<= t 9.2e-178)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= t 1.25e-81)
                   (* x (* y (- (* a b) (* c i))))
                   (if (<= t 3.2e+257)
                     (* y3 (+ t_2 (- (* a (* z y1)) (* c (* z y0)))))
                     (*
                      t
                      (+
                       (+
                        (* z (- (* c i) (* a b)))
                        (* j (- (* b y4) (* i y5))))
                       (* y2 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 = z * ((a * y1) - (c * y0));
	double t_2 = y * ((c * y4) - (a * y5));
	double t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2);
	double t_4 = (a * y5) - (c * y4);
	double tmp;
	if (t <= -1.2e+105) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.7e+59) {
		tmp = y3 * t_1;
	} else if (t <= -3.8e+33) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -3.1e-196) {
		tmp = t_3;
	} else if (t <= 6e-295) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_4));
	} else if (t <= 6.5e-224) {
		tmp = t_3;
	} else if (t <= 9.2e-178) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 1.25e-81) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (t <= 3.2e+257) {
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * 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) :: tmp
    t_1 = z * ((a * y1) - (c * y0))
    t_2 = y * ((c * y4) - (a * y5))
    t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2)
    t_4 = (a * y5) - (c * y4)
    if (t <= (-1.2d+105)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-3.7d+59)) then
        tmp = y3 * t_1
    else if (t <= (-3.8d+33)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (t <= (-3.1d-196)) then
        tmp = t_3
    else if (t <= 6d-295) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_4))
    else if (t <= 6.5d-224) then
        tmp = t_3
    else if (t <= 9.2d-178) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (t <= 1.25d-81) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (t <= 3.2d+257) then
        tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))))
    else
        tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * 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 = z * ((a * y1) - (c * y0));
	double t_2 = y * ((c * y4) - (a * y5));
	double t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2);
	double t_4 = (a * y5) - (c * y4);
	double tmp;
	if (t <= -1.2e+105) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.7e+59) {
		tmp = y3 * t_1;
	} else if (t <= -3.8e+33) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -3.1e-196) {
		tmp = t_3;
	} else if (t <= 6e-295) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_4));
	} else if (t <= 6.5e-224) {
		tmp = t_3;
	} else if (t <= 9.2e-178) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 1.25e-81) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (t <= 3.2e+257) {
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))));
	} else {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * 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 = z * ((a * y1) - (c * y0))
	t_2 = y * ((c * y4) - (a * y5))
	t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2)
	t_4 = (a * y5) - (c * y4)
	tmp = 0
	if t <= -1.2e+105:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif t <= -3.7e+59:
		tmp = y3 * t_1
	elif t <= -3.8e+33:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif t <= -3.1e-196:
		tmp = t_3
	elif t <= 6e-295:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_4))
	elif t <= 6.5e-224:
		tmp = t_3
	elif t <= 9.2e-178:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif t <= 1.25e-81:
		tmp = x * (y * ((a * b) - (c * i)))
	elif t <= 3.2e+257:
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))))
	else:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * 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(z * Float64(Float64(a * y1) - Float64(c * y0)))
	t_2 = Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))
	t_3 = Float64(y3 * Float64(Float64(t_1 + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + t_2))
	t_4 = Float64(Float64(a * y5) - Float64(c * y4))
	tmp = 0.0
	if (t <= -1.2e+105)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -3.7e+59)
		tmp = Float64(y3 * t_1);
	elseif (t <= -3.8e+33)
		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 (t <= -3.1e-196)
		tmp = t_3;
	elseif (t <= 6e-295)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_4)));
	elseif (t <= 6.5e-224)
		tmp = t_3;
	elseif (t <= 9.2e-178)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (t <= 1.25e-81)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (t <= 3.2e+257)
		tmp = Float64(y3 * Float64(t_2 + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	else
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(y2 * t_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 = z * ((a * y1) - (c * y0));
	t_2 = y * ((c * y4) - (a * y5));
	t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2);
	t_4 = (a * y5) - (c * y4);
	tmp = 0.0;
	if (t <= -1.2e+105)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -3.7e+59)
		tmp = y3 * t_1;
	elseif (t <= -3.8e+33)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (t <= -3.1e-196)
		tmp = t_3;
	elseif (t <= 6e-295)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_4));
	elseif (t <= 6.5e-224)
		tmp = t_3;
	elseif (t <= 9.2e-178)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (t <= 1.25e-81)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (t <= 3.2e+257)
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))));
	else
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * 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[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y3 * N[(N[(t$95$1 + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.2e+105], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.7e+59], N[(y3 * t$95$1), $MachinePrecision], If[LessEqual[t, -3.8e+33], 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[t, -3.1e-196], t$95$3, If[LessEqual[t, 6e-295], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.5e-224], t$95$3, If[LessEqual[t, 9.2e-178], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.25e-81], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.2e+257], N[(y3 * N[(t$95$2 + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if t < -1.19999999999999987e105

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -1.19999999999999987e105 < t < -3.69999999999999997e59

   1. Initial program 42.9%

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

   3. Taylor expanded in y3 around -inf 43.1%

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

   4. Taylor expanded in z around inf 86.0%

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

   if -3.69999999999999997e59 < t < -3.80000000000000002e33

   1. Initial program 66.7%

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

   3. Taylor expanded in y4 around inf 100.0%

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

   if -3.80000000000000002e33 < t < -3.09999999999999993e-196 or 5.99999999999999993e-295 < t < 6.5e-224

   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 y3 around -inf 54.9%

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

   if -3.09999999999999993e-196 < t < 5.99999999999999993e-295

   1. Initial program 40.6%

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

   3. Taylor expanded in y2 around inf 66.0%

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

   if 6.5e-224 < t < 9.19999999999999978e-178

   1. Initial program 9.6%

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

   3. Taylor expanded in j around inf 73.7%

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

   4. Taylor expanded in x around inf 73.8%

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

   if 9.19999999999999978e-178 < t < 1.24999999999999995e-81

   1. Initial program 39.8%

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

   3. Taylor expanded in y around inf 45.2%

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

   4. Taylor expanded in x around inf 41.4%

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

   if 1.24999999999999995e-81 < t < 3.2000000000000001e257

   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 y3 around -inf 52.7%

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

   4. Taylor expanded in c around 0 57.9%

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

   5. Taylor expanded in j around 0 56.6%

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

   if 3.2000000000000001e257 < t

   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 t around inf 87.5%

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

4. Final simplification 61.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.2 \cdot 10^{+105}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.7 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -3.8 \cdot 10^{+33}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.1 \cdot 10^{-196}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-295}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-224}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-178}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-81}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+257}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 42.2% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_2 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_3 := y \cdot y3 - t \cdot y2\\ t_4 := a \cdot \left(t \cdot y2 - y \cdot y3\right)\\ \mathbf{if}\;y2 \leq -1.22 \cdot 10^{+107}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{+28}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + t\_4\right)\\ \mathbf{elif}\;y2 \leq -6.3 \cdot 10^{-236}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -8.2 \cdot 10^{-280}:\\ \;\;\;\;y5 \cdot \left(t\_4 + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) + i \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{-226}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.76 \cdot 10^{-171}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t\_3\right)\\ \mathbf{elif}\;y2 \leq 7.5 \cdot 10^{-126}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+116}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot t\_3\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y3
          (+
           (+ (* z (- (* a y1) (* c y0))) (* j (- (* y0 y5) (* y1 y4))))
           (* y (- (* c y4) (* a y5))))))
        (t_2
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4))))))
        (t_3 (- (* y y3) (* t y2)))
        (t_4 (* a (- (* t y2) (* y y3)))))
   (if (<= y2 -1.22e+107)
     t_2
     (if (<= y2 -1.95e+28)
       (* y5 (+ (- (* j (* y0 y3)) (* i (* t j))) t_4))
       (if (<= y2 -6.3e-236)
         t_1
         (if (<= y2 -8.2e-280)
           (*
            y5
            (+ t_4 (+ (* y0 (- (* j y3) (* k y2))) (* i (- (* y k) (* t j))))))
           (if (<= y2 5.8e-226)
             t_1
             (if (<= y2 1.76e-171)
               (*
                y4
                (+
                 (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
                 (* c t_3)))
               (if (<= y2 7.5e-126)
                 (* x (* y (- (* a b) (* c i))))
                 (if (<= y2 6.2e+116)
                   (*
                    c
                    (+
                     (+ (* i (- (* z t) (* x y))) (* y0 (- (* x y2) (* z y3))))
                     (* y4 t_3)))
                   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 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + (y * ((c * y4) - (a * y5))));
	double t_2 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_3 = (y * y3) - (t * y2);
	double t_4 = a * ((t * y2) - (y * y3));
	double tmp;
	if (y2 <= -1.22e+107) {
		tmp = t_2;
	} else if (y2 <= -1.95e+28) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_4);
	} else if (y2 <= -6.3e-236) {
		tmp = t_1;
	} else if (y2 <= -8.2e-280) {
		tmp = y5 * (t_4 + ((y0 * ((j * y3) - (k * y2))) + (i * ((y * k) - (t * j)))));
	} else if (y2 <= 5.8e-226) {
		tmp = t_1;
	} else if (y2 <= 1.76e-171) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3));
	} else if (y2 <= 7.5e-126) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y2 <= 6.2e+116) {
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_3));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = y3 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + (y * ((c * y4) - (a * y5))))
    t_2 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    t_3 = (y * y3) - (t * y2)
    t_4 = a * ((t * y2) - (y * y3))
    if (y2 <= (-1.22d+107)) then
        tmp = t_2
    else if (y2 <= (-1.95d+28)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_4)
    else if (y2 <= (-6.3d-236)) then
        tmp = t_1
    else if (y2 <= (-8.2d-280)) then
        tmp = y5 * (t_4 + ((y0 * ((j * y3) - (k * y2))) + (i * ((y * k) - (t * j)))))
    else if (y2 <= 5.8d-226) then
        tmp = t_1
    else if (y2 <= 1.76d-171) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3))
    else if (y2 <= 7.5d-126) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y2 <= 6.2d+116) then
        tmp = c * (((i * ((z * t) - (x * y))) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_3))
    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 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + (y * ((c * y4) - (a * y5))));
	double t_2 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_3 = (y * y3) - (t * y2);
	double t_4 = a * ((t * y2) - (y * y3));
	double tmp;
	if (y2 <= -1.22e+107) {
		tmp = t_2;
	} else if (y2 <= -1.95e+28) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_4);
	} else if (y2 <= -6.3e-236) {
		tmp = t_1;
	} else if (y2 <= -8.2e-280) {
		tmp = y5 * (t_4 + ((y0 * ((j * y3) - (k * y2))) + (i * ((y * k) - (t * j)))));
	} else if (y2 <= 5.8e-226) {
		tmp = t_1;
	} else if (y2 <= 1.76e-171) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3));
	} else if (y2 <= 7.5e-126) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y2 <= 6.2e+116) {
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_3));
	} 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 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + (y * ((c * y4) - (a * y5))))
	t_2 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	t_3 = (y * y3) - (t * y2)
	t_4 = a * ((t * y2) - (y * y3))
	tmp = 0
	if y2 <= -1.22e+107:
		tmp = t_2
	elif y2 <= -1.95e+28:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_4)
	elif y2 <= -6.3e-236:
		tmp = t_1
	elif y2 <= -8.2e-280:
		tmp = y5 * (t_4 + ((y0 * ((j * y3) - (k * y2))) + (i * ((y * k) - (t * j)))))
	elif y2 <= 5.8e-226:
		tmp = t_1
	elif y2 <= 1.76e-171:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3))
	elif y2 <= 7.5e-126:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y2 <= 6.2e+116:
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_3))
	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(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))))
	t_2 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	t_3 = Float64(Float64(y * y3) - Float64(t * y2))
	t_4 = Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))
	tmp = 0.0
	if (y2 <= -1.22e+107)
		tmp = t_2;
	elseif (y2 <= -1.95e+28)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + t_4));
	elseif (y2 <= -6.3e-236)
		tmp = t_1;
	elseif (y2 <= -8.2e-280)
		tmp = Float64(y5 * Float64(t_4 + Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(i * Float64(Float64(y * k) - Float64(t * j))))));
	elseif (y2 <= 5.8e-226)
		tmp = t_1;
	elseif (y2 <= 1.76e-171)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_3)));
	elseif (y2 <= 7.5e-126)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y2 <= 6.2e+116)
		tmp = Float64(c * Float64(Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * t_3)));
	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 * (((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))) + (y * ((c * y4) - (a * y5))));
	t_2 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	t_3 = (y * y3) - (t * y2);
	t_4 = a * ((t * y2) - (y * y3));
	tmp = 0.0;
	if (y2 <= -1.22e+107)
		tmp = t_2;
	elseif (y2 <= -1.95e+28)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_4);
	elseif (y2 <= -6.3e-236)
		tmp = t_1;
	elseif (y2 <= -8.2e-280)
		tmp = y5 * (t_4 + ((y0 * ((j * y3) - (k * y2))) + (i * ((y * k) - (t * j)))));
	elseif (y2 <= 5.8e-226)
		tmp = t_1;
	elseif (y2 <= 1.76e-171)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * t_3));
	elseif (y2 <= 7.5e-126)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y2 <= 6.2e+116)
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * ((x * y2) - (z * y3)))) + (y4 * t_3));
	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[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.22e+107], t$95$2, If[LessEqual[y2, -1.95e+28], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.3e-236], t$95$1, If[LessEqual[y2, -8.2e-280], N[(y5 * N[(t$95$4 + N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.8e-226], t$95$1, If[LessEqual[y2, 1.76e-171], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.5e-126], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.2e+116], N[(c * N[(N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -1.22e107 or 6.19999999999999992e116 < y2

   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 60.9%

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

   if -1.22e107 < y2 < -1.9499999999999999e28

   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 y5 around -inf 71.4%

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

   4. Taylor expanded in k around 0 72.0%

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

      1. +-commutative 72.0%

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

      2. mul-1-neg 72.0%

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

      3. unsub-neg 72.0%

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

      4. *-commutative 72.0%

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

      5. *-commutative 72.0%

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

   6. Simplified 72.0%

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

   if -1.9499999999999999e28 < y2 < -6.2999999999999998e-236 or -8.2000000000000003e-280 < y2 < 5.80000000000000003e-226

   1. Initial program 38.8%

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

   3. Taylor expanded in y3 around -inf 59.2%

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

   if -6.2999999999999998e-236 < y2 < -8.2000000000000003e-280

   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 y5 around -inf 65.5%

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

   if 5.80000000000000003e-226 < y2 < 1.76000000000000007e-171

   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 y4 around inf 63.9%

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

   if 1.76000000000000007e-171 < y2 < 7.49999999999999976e-126

   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 y around inf 0.0%

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

   4. Taylor expanded in x around inf 100.0%

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

   if 7.49999999999999976e-126 < y2 < 6.19999999999999992e116

   1. Initial program 30.9%

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

   3. Taylor expanded in c around inf 49.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 59.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.22 \cdot 10^{+107}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{+28}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.3 \cdot 10^{-236}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -8.2 \cdot 10^{-280}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) + i \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{-226}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.76 \cdot 10^{-171}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 7.5 \cdot 10^{-126}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+116}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 32.9% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_3 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -1.36 \cdot 10^{+45}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y2 \leq -1.5 \cdot 10^{-97}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-239}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq -1.5 \cdot 10^{-273}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-297}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 9.5 \cdot 10^{-304}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 1.06 \cdot 10^{-176}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+31}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{+82}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 2.5 \cdot 10^{+135} \lor \neg \left(y2 \leq 1.4 \cdot 10^{+258}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (- (* a b) (* c i)))))
        (t_2 (* j (* x (- (* i y1) (* b y0)))))
        (t_3 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -1.36e+45)
     t_3
     (if (<= y2 -1.5e-97)
       t_2
       (if (<= y2 -2.1e-239)
         (* j (* y0 (- (* y3 y5) (* x b))))
         (if (<= y2 -1.5e-273)
           (* i (* k (- (* y y5) (* z y1))))
           (if (<= y2 -1.8e-297)
             t_1
             (if (<= y2 9.5e-304)
               (* k (* z (- (* b y0) (* i y1))))
               (if (<= y2 1.06e-176)
                 t_2
                 (if (<= y2 2.7e+31)
                   t_1
                   (if (<= y2 1.5e+82)
                     t_2
                     (if (or (<= y2 2.5e+135) (not (<= y2 1.4e+258)))
                       (* t (* y2 (- (* a y5) (* c y4))))
                       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 = x * (y * ((a * b) - (c * i)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -1.36e+45) {
		tmp = t_3;
	} else if (y2 <= -1.5e-97) {
		tmp = t_2;
	} else if (y2 <= -2.1e-239) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y2 <= -1.5e-273) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= -1.8e-297) {
		tmp = t_1;
	} else if (y2 <= 9.5e-304) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y2 <= 1.06e-176) {
		tmp = t_2;
	} else if (y2 <= 2.7e+31) {
		tmp = t_1;
	} else if (y2 <= 1.5e+82) {
		tmp = t_2;
	} else if ((y2 <= 2.5e+135) || !(y2 <= 1.4e+258)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} 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) :: tmp
    t_1 = x * (y * ((a * b) - (c * i)))
    t_2 = j * (x * ((i * y1) - (b * y0)))
    t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-1.36d+45)) then
        tmp = t_3
    else if (y2 <= (-1.5d-97)) then
        tmp = t_2
    else if (y2 <= (-2.1d-239)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (y2 <= (-1.5d-273)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= (-1.8d-297)) then
        tmp = t_1
    else if (y2 <= 9.5d-304) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y2 <= 1.06d-176) then
        tmp = t_2
    else if (y2 <= 2.7d+31) then
        tmp = t_1
    else if (y2 <= 1.5d+82) then
        tmp = t_2
    else if ((y2 <= 2.5d+135) .or. (.not. (y2 <= 1.4d+258))) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    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 = x * (y * ((a * b) - (c * i)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -1.36e+45) {
		tmp = t_3;
	} else if (y2 <= -1.5e-97) {
		tmp = t_2;
	} else if (y2 <= -2.1e-239) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y2 <= -1.5e-273) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= -1.8e-297) {
		tmp = t_1;
	} else if (y2 <= 9.5e-304) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y2 <= 1.06e-176) {
		tmp = t_2;
	} else if (y2 <= 2.7e+31) {
		tmp = t_1;
	} else if (y2 <= 1.5e+82) {
		tmp = t_2;
	} else if ((y2 <= 2.5e+135) || !(y2 <= 1.4e+258)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} 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 = x * (y * ((a * b) - (c * i)))
	t_2 = j * (x * ((i * y1) - (b * y0)))
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -1.36e+45:
		tmp = t_3
	elif y2 <= -1.5e-97:
		tmp = t_2
	elif y2 <= -2.1e-239:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif y2 <= -1.5e-273:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= -1.8e-297:
		tmp = t_1
	elif y2 <= 9.5e-304:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y2 <= 1.06e-176:
		tmp = t_2
	elif y2 <= 2.7e+31:
		tmp = t_1
	elif y2 <= 1.5e+82:
		tmp = t_2
	elif (y2 <= 2.5e+135) or not (y2 <= 1.4e+258):
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	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(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_3 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -1.36e+45)
		tmp = t_3;
	elseif (y2 <= -1.5e-97)
		tmp = t_2;
	elseif (y2 <= -2.1e-239)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y2 <= -1.5e-273)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= -1.8e-297)
		tmp = t_1;
	elseif (y2 <= 9.5e-304)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y2 <= 1.06e-176)
		tmp = t_2;
	elseif (y2 <= 2.7e+31)
		tmp = t_1;
	elseif (y2 <= 1.5e+82)
		tmp = t_2;
	elseif ((y2 <= 2.5e+135) || !(y2 <= 1.4e+258))
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	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 = x * (y * ((a * b) - (c * i)));
	t_2 = j * (x * ((i * y1) - (b * y0)));
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -1.36e+45)
		tmp = t_3;
	elseif (y2 <= -1.5e-97)
		tmp = t_2;
	elseif (y2 <= -2.1e-239)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (y2 <= -1.5e-273)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= -1.8e-297)
		tmp = t_1;
	elseif (y2 <= 9.5e-304)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y2 <= 1.06e-176)
		tmp = t_2;
	elseif (y2 <= 2.7e+31)
		tmp = t_1;
	elseif (y2 <= 1.5e+82)
		tmp = t_2;
	elseif ((y2 <= 2.5e+135) || ~((y2 <= 1.4e+258)))
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	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[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.36e+45], t$95$3, If[LessEqual[y2, -1.5e-97], t$95$2, If[LessEqual[y2, -2.1e-239], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.5e-273], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.8e-297], t$95$1, If[LessEqual[y2, 9.5e-304], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.06e-176], t$95$2, If[LessEqual[y2, 2.7e+31], t$95$1, If[LessEqual[y2, 1.5e+82], t$95$2, If[Or[LessEqual[y2, 2.5e+135], N[Not[LessEqual[y2, 1.4e+258]], $MachinePrecision]], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -1.36e45 or 2.50000000000000015e135 < y2 < 1.39999999999999991e258

   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 y2 around inf 53.6%

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

   4. Taylor expanded in k around inf 54.1%

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

   if -1.36e45 < y2 < -1.50000000000000012e-97 or 9.50000000000000023e-304 < y2 < 1.06000000000000006e-176 or 2.69999999999999986e31 < y2 < 1.49999999999999995e82

   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 j around inf 42.5%

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

   4. Taylor expanded in x around inf 49.3%

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

   if -1.50000000000000012e-97 < y2 < -2.1000000000000002e-239

   1. Initial program 39.6%

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

   3. Taylor expanded in j around inf 47.1%

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

   4. Taylor expanded in y0 around inf 51.0%

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

   if -2.1000000000000002e-239 < y2 < -1.49999999999999994e-273

   1. Initial program 30.6%

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

   3. Taylor expanded in k around inf 46.4%

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

   4. Taylor expanded in i around inf 47.7%

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

   if -1.49999999999999994e-273 < y2 < -1.79999999999999997e-297 or 1.06000000000000006e-176 < y2 < 2.69999999999999986e31

   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 y around inf 35.8%

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

   4. Taylor expanded in x around inf 45.5%

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

   if -1.79999999999999997e-297 < y2 < 9.50000000000000023e-304

   1. Initial program 74.6%

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

   3. Taylor expanded in k around inf 75.5%

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

   4. Taylor expanded in z around inf 51.0%

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

   if 1.49999999999999995e82 < y2 < 2.50000000000000015e135 or 1.39999999999999991e258 < y2

   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 y2 around inf 60.9%

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

   4. Taylor expanded in t around inf 70.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 52.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.36 \cdot 10^{+45}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.5 \cdot 10^{-97}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-239}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq -1.5 \cdot 10^{-273}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-297}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 9.5 \cdot 10^{-304}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 1.06 \cdot 10^{-176}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+31}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{+82}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.5 \cdot 10^{+135} \lor \neg \left(y2 \leq 1.4 \cdot 10^{+258}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 33.3% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(a \cdot y1 - c \cdot y0\right)\\ t_2 := y \cdot \left(c \cdot y4 - a \cdot y5\right)\\ t_3 := y3 \cdot \left(\left(t\_1 + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + t\_2\right)\\ \mathbf{if}\;t \leq -6.2 \cdot 10^{+107}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.9 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot t\_1\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+33}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.26 \cdot 10^{-197}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 1.32 \cdot 10^{-294}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{-227}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-179}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-81}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(t\_2 + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (- (* a y1) (* c y0))))
        (t_2 (* y (- (* c y4) (* a y5))))
        (t_3 (* y3 (+ (+ t_1 (* j (- (* y0 y5) (* y1 y4)))) t_2))))
   (if (<= t -6.2e+107)
     (* y5 (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -3.9e+59)
       (* y3 t_1)
       (if (<= t -3.5e+33)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= t -1.26e-197)
           t_3
           (if (<= t 1.32e-294)
             (*
              y2
              (+
               (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
               (* t (- (* a y5) (* c y4)))))
             (if (<= t 3.8e-227)
               t_3
               (if (<= t 6.2e-179)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= t 1.25e-81)
                   (* x (* y (- (* a b) (* c i))))
                   (* y3 (+ t_2 (- (* a (* z y1)) (* c (* z y0)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * ((a * y1) - (c * y0));
	double t_2 = y * ((c * y4) - (a * y5));
	double t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2);
	double tmp;
	if (t <= -6.2e+107) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.9e+59) {
		tmp = y3 * t_1;
	} else if (t <= -3.5e+33) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -1.26e-197) {
		tmp = t_3;
	} else if (t <= 1.32e-294) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (t <= 3.8e-227) {
		tmp = t_3;
	} else if (t <= 6.2e-179) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 1.25e-81) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else {
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = z * ((a * y1) - (c * y0))
    t_2 = y * ((c * y4) - (a * y5))
    t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2)
    if (t <= (-6.2d+107)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-3.9d+59)) then
        tmp = y3 * t_1
    else if (t <= (-3.5d+33)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (t <= (-1.26d-197)) then
        tmp = t_3
    else if (t <= 1.32d-294) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (t <= 3.8d-227) then
        tmp = t_3
    else if (t <= 6.2d-179) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (t <= 1.25d-81) then
        tmp = x * (y * ((a * b) - (c * i)))
    else
        tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * ((a * y1) - (c * y0));
	double t_2 = y * ((c * y4) - (a * y5));
	double t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2);
	double tmp;
	if (t <= -6.2e+107) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.9e+59) {
		tmp = y3 * t_1;
	} else if (t <= -3.5e+33) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -1.26e-197) {
		tmp = t_3;
	} else if (t <= 1.32e-294) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (t <= 3.8e-227) {
		tmp = t_3;
	} else if (t <= 6.2e-179) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 1.25e-81) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else {
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * ((a * y1) - (c * y0))
	t_2 = y * ((c * y4) - (a * y5))
	t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2)
	tmp = 0
	if t <= -6.2e+107:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif t <= -3.9e+59:
		tmp = y3 * t_1
	elif t <= -3.5e+33:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif t <= -1.26e-197:
		tmp = t_3
	elif t <= 1.32e-294:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif t <= 3.8e-227:
		tmp = t_3
	elif t <= 6.2e-179:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif t <= 1.25e-81:
		tmp = x * (y * ((a * b) - (c * i)))
	else:
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(Float64(a * y1) - Float64(c * y0)))
	t_2 = Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))
	t_3 = Float64(y3 * Float64(Float64(t_1 + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + t_2))
	tmp = 0.0
	if (t <= -6.2e+107)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -3.9e+59)
		tmp = Float64(y3 * t_1);
	elseif (t <= -3.5e+33)
		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 (t <= -1.26e-197)
		tmp = t_3;
	elseif (t <= 1.32e-294)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (t <= 3.8e-227)
		tmp = t_3;
	elseif (t <= 6.2e-179)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (t <= 1.25e-81)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(y3 * Float64(t_2 + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * ((a * y1) - (c * y0));
	t_2 = y * ((c * y4) - (a * y5));
	t_3 = y3 * ((t_1 + (j * ((y0 * y5) - (y1 * y4)))) + t_2);
	tmp = 0.0;
	if (t <= -6.2e+107)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -3.9e+59)
		tmp = y3 * t_1;
	elseif (t <= -3.5e+33)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (t <= -1.26e-197)
		tmp = t_3;
	elseif (t <= 1.32e-294)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (t <= 3.8e-227)
		tmp = t_3;
	elseif (t <= 6.2e-179)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (t <= 1.25e-81)
		tmp = x * (y * ((a * b) - (c * i)));
	else
		tmp = y3 * (t_2 + ((a * (z * y1)) - (c * (z * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y3 * N[(N[(t$95$1 + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -6.2e+107], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.9e+59], N[(y3 * t$95$1), $MachinePrecision], If[LessEqual[t, -3.5e+33], 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[t, -1.26e-197], t$95$3, If[LessEqual[t, 1.32e-294], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.8e-227], t$95$3, If[LessEqual[t, 6.2e-179], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.25e-81], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y3 * N[(t$95$2 + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if t < -6.20000000000000052e107

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -6.20000000000000052e107 < t < -3.90000000000000021e59

   1. Initial program 42.9%

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

   3. Taylor expanded in y3 around -inf 43.1%

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

   4. Taylor expanded in z around inf 86.0%

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

   if -3.90000000000000021e59 < t < -3.5000000000000001e33

   1. Initial program 66.7%

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

   3. Taylor expanded in y4 around inf 100.0%

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

   if -3.5000000000000001e33 < t < -1.26000000000000003e-197 or 1.3199999999999999e-294 < t < 3.8000000000000001e-227

   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 y3 around -inf 54.9%

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

   if -1.26000000000000003e-197 < t < 1.3199999999999999e-294

   1. Initial program 40.6%

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

   3. Taylor expanded in y2 around inf 66.0%

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

   if 3.8000000000000001e-227 < t < 6.2000000000000005e-179

   1. Initial program 9.6%

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

   3. Taylor expanded in j around inf 73.7%

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

   4. Taylor expanded in x around inf 73.8%

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

   if 6.2000000000000005e-179 < t < 1.24999999999999995e-81

   1. Initial program 39.8%

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

   3. Taylor expanded in y around inf 45.2%

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

   4. Taylor expanded in x around inf 41.4%

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

   if 1.24999999999999995e-81 < t

   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 y3 around -inf 51.2%

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

   4. Taylor expanded in c around 0 55.5%

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

   5. Taylor expanded in j around 0 52.3%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right) + c \cdot \left(y0 \cdot z\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 57.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -6.2 \cdot 10^{+107}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.9 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+33}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.26 \cdot 10^{-197}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.32 \cdot 10^{-294}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{-227}:\\ \;\;\;\;y3 \cdot \left(\left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-179}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-81}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 32.7% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -3.7 \cdot 10^{+46}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -1.75 \cdot 10^{-158}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{-239}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;y2 \leq -1.75 \cdot 10^{-285}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-227}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{-179}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{+31}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+79}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+135} \lor \neg \left(y2 \leq 2.8 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -3.7e+46)
     t_2
     (if (<= y2 -1.75e-158)
       t_1
       (if (<= y2 -1.65e-239)
         (* (* z y3) (- (* a y1) (* c y0)))
         (if (<= y2 -1.75e-285)
           (* i (* j (- (* x y1) (* t y5))))
           (if (<= y2 4e-227)
             (* y3 (* c (- (* y y4) (* z y0))))
             (if (<= y2 1.3e-179)
               (* i (* k (- (* y y5) (* z y1))))
               (if (<= y2 3.2e+31)
                 (* x (* y (- (* a b) (* c i))))
                 (if (<= y2 7.8e+79)
                   t_1
                   (if (or (<= y2 1.45e+135) (not (<= y2 2.8e+257)))
                     (* t (* y2 (- (* a y5) (* c y4))))
                     t_2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -3.7e+46) {
		tmp = t_2;
	} else if (y2 <= -1.75e-158) {
		tmp = t_1;
	} else if (y2 <= -1.65e-239) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (y2 <= -1.75e-285) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 4e-227) {
		tmp = y3 * (c * ((y * y4) - (z * y0)));
	} else if (y2 <= 1.3e-179) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 3.2e+31) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y2 <= 7.8e+79) {
		tmp = t_1;
	} else if ((y2 <= 1.45e+135) || !(y2 <= 2.8e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-3.7d+46)) then
        tmp = t_2
    else if (y2 <= (-1.75d-158)) then
        tmp = t_1
    else if (y2 <= (-1.65d-239)) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    else if (y2 <= (-1.75d-285)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y2 <= 4d-227) then
        tmp = y3 * (c * ((y * y4) - (z * y0)))
    else if (y2 <= 1.3d-179) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= 3.2d+31) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y2 <= 7.8d+79) then
        tmp = t_1
    else if ((y2 <= 1.45d+135) .or. (.not. (y2 <= 2.8d+257))) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -3.7e+46) {
		tmp = t_2;
	} else if (y2 <= -1.75e-158) {
		tmp = t_1;
	} else if (y2 <= -1.65e-239) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (y2 <= -1.75e-285) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 4e-227) {
		tmp = y3 * (c * ((y * y4) - (z * y0)));
	} else if (y2 <= 1.3e-179) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 3.2e+31) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y2 <= 7.8e+79) {
		tmp = t_1;
	} else if ((y2 <= 1.45e+135) || !(y2 <= 2.8e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -3.7e+46:
		tmp = t_2
	elif y2 <= -1.75e-158:
		tmp = t_1
	elif y2 <= -1.65e-239:
		tmp = (z * y3) * ((a * y1) - (c * y0))
	elif y2 <= -1.75e-285:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y2 <= 4e-227:
		tmp = y3 * (c * ((y * y4) - (z * y0)))
	elif y2 <= 1.3e-179:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= 3.2e+31:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y2 <= 7.8e+79:
		tmp = t_1
	elif (y2 <= 1.45e+135) or not (y2 <= 2.8e+257):
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -3.7e+46)
		tmp = t_2;
	elseif (y2 <= -1.75e-158)
		tmp = t_1;
	elseif (y2 <= -1.65e-239)
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	elseif (y2 <= -1.75e-285)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y2 <= 4e-227)
		tmp = Float64(y3 * Float64(c * Float64(Float64(y * y4) - Float64(z * y0))));
	elseif (y2 <= 1.3e-179)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= 3.2e+31)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y2 <= 7.8e+79)
		tmp = t_1;
	elseif ((y2 <= 1.45e+135) || !(y2 <= 2.8e+257))
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -3.7e+46)
		tmp = t_2;
	elseif (y2 <= -1.75e-158)
		tmp = t_1;
	elseif (y2 <= -1.65e-239)
		tmp = (z * y3) * ((a * y1) - (c * y0));
	elseif (y2 <= -1.75e-285)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y2 <= 4e-227)
		tmp = y3 * (c * ((y * y4) - (z * y0)));
	elseif (y2 <= 1.3e-179)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= 3.2e+31)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y2 <= 7.8e+79)
		tmp = t_1;
	elseif ((y2 <= 1.45e+135) || ~((y2 <= 2.8e+257)))
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.7e+46], t$95$2, If[LessEqual[y2, -1.75e-158], t$95$1, If[LessEqual[y2, -1.65e-239], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.75e-285], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4e-227], N[(y3 * N[(c * N[(N[(y * y4), $MachinePrecision] - N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.3e-179], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.2e+31], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.8e+79], t$95$1, If[Or[LessEqual[y2, 1.45e+135], N[Not[LessEqual[y2, 2.8e+257]], $MachinePrecision]], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -3.6999999999999999e46 or 1.4499999999999999e135 < y2 < 2.7999999999999998e257

   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 y2 around inf 53.6%

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

   4. Taylor expanded in k around inf 54.1%

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

   if -3.6999999999999999e46 < y2 < -1.75000000000000006e-158 or 3.2000000000000001e31 < y2 < 7.7999999999999994e79

   1. Initial program 30.2%

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

   3. Taylor expanded in j around inf 44.5%

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

   4. Taylor expanded in x around inf 51.0%

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

   if -1.75000000000000006e-158 < y2 < -1.64999999999999998e-239

   1. Initial program 42.1%

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

   3. Taylor expanded in y3 around -inf 74.4%

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

   4. Taylor expanded in c around 0 69.1%

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

   5. Taylor expanded in z around inf 48.9%

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

      1. associate-*r* 48.9%

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

      2. +-commutative 48.9%

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

      3. mul-1-neg 48.9%

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

      4. unsub-neg 48.9%

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

   7. Simplified 48.9%

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

   if -1.64999999999999998e-239 < y2 < -1.7500000000000002e-285

   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 j around inf 61.7%

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

   4. Taylor expanded in i around -inf 56.4%

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

      1. mul-1-neg 56.4%

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

   6. Simplified 56.4%

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

   if -1.7500000000000002e-285 < y2 < 3.99999999999999978e-227

   1. Initial program 49.9%

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

   3. Taylor expanded in y3 around -inf 59.9%

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

   4. Taylor expanded in c around inf 50.9%

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

   if 3.99999999999999978e-227 < y2 < 1.30000000000000003e-179

   1. Initial program 9.8%

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

   3. Taylor expanded in k around inf 20.5%

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

   4. Taylor expanded in i around inf 51.0%

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

   if 1.30000000000000003e-179 < y2 < 3.2000000000000001e31

   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 y around inf 34.6%

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

   4. Taylor expanded in x around inf 41.2%

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

   if 7.7999999999999994e79 < y2 < 1.4499999999999999e135 or 2.7999999999999998e257 < y2

   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 y2 around inf 60.9%

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

   4. Taylor expanded in t around inf 70.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 52.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.7 \cdot 10^{+46}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.75 \cdot 10^{-158}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{-239}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;y2 \leq -1.75 \cdot 10^{-285}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-227}:\\ \;\;\;\;y3 \cdot \left(c \cdot \left(y \cdot y4 - z \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{-179}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{+31}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+79}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+135} \lor \neg \left(y2 \leq 2.8 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 32.2% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot y2 - y \cdot y3\right)\\ \mathbf{if}\;t \leq -2.9 \cdot 10^{+107}:\\ \;\;\;\;y5 \cdot \left(t\_1 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -8.8 \cdot 10^{+16}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.2 \cdot 10^{-21}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-85}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + t\_1\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-246}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 4.7 \cdot 10^{-83}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (- (* t y2) (* y y3)))))
   (if (<= t -2.9e+107)
     (* y5 (+ t_1 (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -3.5e+59)
       (* y3 (* z (- (* a y1) (* c y0))))
       (if (<= t -8.8e+16)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= t -1.2e-21)
           (* y3 (* y0 (- (* j y5) (* z c))))
           (if (<= t -6.4e-85)
             (* y5 (+ (- (* j (* y0 y3)) (* i (* t j))) t_1))
             (if (<= t 2.8e-246)
               (*
                y2
                (+
                 (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= t 4.7e-83)
                 (* a (* y3 (- (* z y1) (* y y5))))
                 (*
                  y3
                  (+
                   (* y (- (* c y4) (* a y5)))
                   (- (* a (* z y1)) (* c (* z y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double tmp;
	if (t <= -2.9e+107) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.5e+59) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -8.8e+16) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -1.2e-21) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (t <= -6.4e-85) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	} else if (t <= 2.8e-246) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (t <= 4.7e-83) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((t * y2) - (y * y3))
    if (t <= (-2.9d+107)) then
        tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-3.5d+59)) then
        tmp = y3 * (z * ((a * y1) - (c * y0)))
    else if (t <= (-8.8d+16)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (t <= (-1.2d-21)) then
        tmp = y3 * (y0 * ((j * y5) - (z * c)))
    else if (t <= (-6.4d-85)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
    else if (t <= 2.8d-246) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (t <= 4.7d-83) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double tmp;
	if (t <= -2.9e+107) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -3.5e+59) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -8.8e+16) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (t <= -1.2e-21) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (t <= -6.4e-85) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	} else if (t <= 2.8e-246) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (t <= 4.7e-83) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((t * y2) - (y * y3))
	tmp = 0
	if t <= -2.9e+107:
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
	elif t <= -3.5e+59:
		tmp = y3 * (z * ((a * y1) - (c * y0)))
	elif t <= -8.8e+16:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif t <= -1.2e-21:
		tmp = y3 * (y0 * ((j * y5) - (z * c)))
	elif t <= -6.4e-85:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
	elif t <= 2.8e-246:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif t <= 4.7e-83:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	else:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))
	tmp = 0.0
	if (t <= -2.9e+107)
		tmp = Float64(y5 * Float64(t_1 + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -3.5e+59)
		tmp = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (t <= -8.8e+16)
		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 (t <= -1.2e-21)
		tmp = Float64(y3 * Float64(y0 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (t <= -6.4e-85)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + t_1));
	elseif (t <= 2.8e-246)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (t <= 4.7e-83)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	else
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((t * y2) - (y * y3));
	tmp = 0.0;
	if (t <= -2.9e+107)
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -3.5e+59)
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	elseif (t <= -8.8e+16)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (t <= -1.2e-21)
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	elseif (t <= -6.4e-85)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	elseif (t <= 2.8e-246)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (t <= 4.7e-83)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	else
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.9e+107], N[(y5 * N[(t$95$1 + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.5e+59], N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -8.8e+16], 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[t, -1.2e-21], N[(y3 * N[(y0 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -6.4e-85], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.8e-246], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4.7e-83], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if t < -2.89999999999999988e107

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -2.89999999999999988e107 < t < -3.5e59

   1. Initial program 42.9%

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

   3. Taylor expanded in y3 around -inf 43.1%

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

   4. Taylor expanded in z around inf 86.0%

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

   if -3.5e59 < t < -8.8e16

   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 85.7%

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

   if -8.8e16 < t < -1.2e-21

   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 y0 around inf 75.0%

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

   if -1.2e-21 < t < -6.40000000000000054e-85

   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 y5 around -inf 62.8%

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

   4. Taylor expanded in k around 0 75.9%

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

      1. +-commutative 75.9%

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

      2. mul-1-neg 75.9%

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

      3. unsub-neg 75.9%

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

      4. *-commutative 75.9%

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

      5. *-commutative 75.9%

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

   6. Simplified 75.9%

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

   if -6.40000000000000054e-85 < t < 2.7999999999999999e-246

   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 y2 around inf 51.6%

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

   if 2.7999999999999999e-246 < t < 4.7000000000000003e-83

   1. Initial program 31.5%

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

   3. Taylor expanded in y3 around -inf 32.2%

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

   4. Taylor expanded in a around -inf 46.4%

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

      1. mul-1-neg 46.4%

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

   6. Simplified 46.4%

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

   if 4.7000000000000003e-83 < t

   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 y3 around -inf 50.7%

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

   4. Taylor expanded in c around 0 55.0%

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

   5. Taylor expanded in j around 0 51.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right) + c \cdot \left(y0 \cdot z\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 56.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.9 \cdot 10^{+107}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+59}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -8.8 \cdot 10^{+16}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.2 \cdot 10^{-21}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-85}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-246}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 4.7 \cdot 10^{-83}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 31.5% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot y2 - y \cdot y3\right)\\ \mathbf{if}\;t \leq -1.1 \cdot 10^{+105}:\\ \;\;\;\;y5 \cdot \left(t\_1 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{+47}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-85}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + t\_1\right)\\ \mathbf{elif}\;t \leq -3.6 \cdot 10^{-287}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 2.75 \cdot 10^{-227}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-199}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 5.4 \cdot 10^{-82}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (- (* t y2) (* y y3)))))
   (if (<= t -1.1e+105)
     (* y5 (+ t_1 (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -1.3e+47)
       (* y3 (* z (- (* a y1) (* c y0))))
       (if (<= t -6.4e-85)
         (* y5 (+ (- (* j (* y0 y3)) (* i (* t j))) t_1))
         (if (<= t -3.6e-287)
           (*
            y2
            (+
             (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
             (* t (- (* a y5) (* c y4)))))
           (if (<= t 2.75e-227)
             (* b (+ (* (* x y) a) (* y4 (- (* t j) (* y k)))))
             (if (<= t 7e-199)
               (* j (* x (- (* i y1) (* b y0))))
               (if (<= t 5.4e-82)
                 (* x (* y (- (* a b) (* c i))))
                 (*
                  y3
                  (+
                   (* y (- (* c y4) (* a y5)))
                   (- (* a (* z y1)) (* c (* z y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double tmp;
	if (t <= -1.1e+105) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -1.3e+47) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -6.4e-85) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	} else if (t <= -3.6e-287) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (t <= 2.75e-227) {
		tmp = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	} else if (t <= 7e-199) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 5.4e-82) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((t * y2) - (y * y3))
    if (t <= (-1.1d+105)) then
        tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-1.3d+47)) then
        tmp = y3 * (z * ((a * y1) - (c * y0)))
    else if (t <= (-6.4d-85)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
    else if (t <= (-3.6d-287)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (t <= 2.75d-227) then
        tmp = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))))
    else if (t <= 7d-199) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (t <= 5.4d-82) then
        tmp = x * (y * ((a * b) - (c * i)))
    else
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double tmp;
	if (t <= -1.1e+105) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -1.3e+47) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -6.4e-85) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	} else if (t <= -3.6e-287) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (t <= 2.75e-227) {
		tmp = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	} else if (t <= 7e-199) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (t <= 5.4e-82) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((t * y2) - (y * y3))
	tmp = 0
	if t <= -1.1e+105:
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
	elif t <= -1.3e+47:
		tmp = y3 * (z * ((a * y1) - (c * y0)))
	elif t <= -6.4e-85:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
	elif t <= -3.6e-287:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif t <= 2.75e-227:
		tmp = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))))
	elif t <= 7e-199:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif t <= 5.4e-82:
		tmp = x * (y * ((a * b) - (c * i)))
	else:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))
	tmp = 0.0
	if (t <= -1.1e+105)
		tmp = Float64(y5 * Float64(t_1 + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -1.3e+47)
		tmp = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (t <= -6.4e-85)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + t_1));
	elseif (t <= -3.6e-287)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (t <= 2.75e-227)
		tmp = Float64(b * Float64(Float64(Float64(x * y) * a) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))));
	elseif (t <= 7e-199)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (t <= 5.4e-82)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((t * y2) - (y * y3));
	tmp = 0.0;
	if (t <= -1.1e+105)
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -1.3e+47)
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	elseif (t <= -6.4e-85)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	elseif (t <= -3.6e-287)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (t <= 2.75e-227)
		tmp = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	elseif (t <= 7e-199)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (t <= 5.4e-82)
		tmp = x * (y * ((a * b) - (c * i)));
	else
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.1e+105], N[(y5 * N[(t$95$1 + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.3e+47], N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -6.4e-85], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.6e-287], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.75e-227], N[(b * N[(N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7e-199], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 5.4e-82], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if t < -1.10000000000000003e105

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -1.10000000000000003e105 < t < -1.30000000000000002e47

   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 y3 around -inf 50.2%

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

   4. Taylor expanded in z around inf 75.4%

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

   if -1.30000000000000002e47 < t < -6.40000000000000054e-85

   1. Initial program 22.7%

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

   3. Taylor expanded in y5 around -inf 50.3%

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

   4. Taylor expanded in k around 0 55.7%

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

      1. +-commutative 55.7%

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

      2. mul-1-neg 55.7%

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

      3. unsub-neg 55.7%

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

      4. *-commutative 55.7%

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

      5. *-commutative 55.7%

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

   6. Simplified 55.7%

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

   if -6.40000000000000054e-85 < t < -3.6000000000000001e-287

   1. Initial program 29.1%

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

   3. Taylor expanded in y2 around inf 58.4%

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

   if -3.6000000000000001e-287 < t < 2.75e-227

   1. Initial program 53.4%

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

   3. Taylor expanded in y around inf 31.1%

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

   4. Taylor expanded in b around inf 43.8%

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

   if 2.75e-227 < t < 6.9999999999999998e-199

   1. Initial program 0.7%

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

   3. Taylor expanded in j around inf 78.1%

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

   4. Taylor expanded in x around inf 78.3%

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

   if 6.9999999999999998e-199 < t < 5.4000000000000003e-82

   1. Initial program 40.8%

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

   3. Taylor expanded in y around inf 45.7%

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

   4. Taylor expanded in x around inf 42.3%

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

   if 5.4000000000000003e-82 < t

   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 y3 around -inf 51.2%

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

   4. Taylor expanded in c around 0 55.5%

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

   5. Taylor expanded in j around 0 52.3%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right) + c \cdot \left(y0 \cdot z\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 55.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.1 \cdot 10^{+105}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{+47}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-85}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -3.6 \cdot 10^{-287}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 2.75 \cdot 10^{-227}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-199}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 5.4 \cdot 10^{-82}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 30.7% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot y2 - y \cdot y3\right)\\ t_2 := y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + t\_1\right)\\ \mathbf{if}\;t \leq -7.5 \cdot 10^{+104}:\\ \;\;\;\;y5 \cdot \left(t\_1 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{+48}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{-127}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq -6.8 \cdot 10^{-164}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-204}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{-251}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 9.6 \cdot 10^{-9}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (- (* t y2) (* y y3))))
        (t_2 (* y5 (+ (- (* j (* y0 y3)) (* i (* t j))) t_1))))
   (if (<= t -7.5e+104)
     (* y5 (+ t_1 (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -7.5e+48)
       (* y3 (* z (- (* a y1) (* c y0))))
       (if (<= t -9.5e-127)
         t_2
         (if (<= t -6.8e-164)
           (* y1 (* y4 (- (* k y2) (* j y3))))
           (if (<= t -1.8e-204)
             t_2
             (if (<= t 4.2e-251)
               (* y2 (* x (- (* c y0) (* a y1))))
               (if (<= t 9.6e-9)
                 (* a (* y3 (- (* z y1) (* y y5))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	double tmp;
	if (t <= -7.5e+104) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -7.5e+48) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -9.5e-127) {
		tmp = t_2;
	} else if (t <= -6.8e-164) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (t <= -1.8e-204) {
		tmp = t_2;
	} else if (t <= 4.2e-251) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (t <= 9.6e-9) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * ((t * y2) - (y * y3))
    t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
    if (t <= (-7.5d+104)) then
        tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-7.5d+48)) then
        tmp = y3 * (z * ((a * y1) - (c * y0)))
    else if (t <= (-9.5d-127)) then
        tmp = t_2
    else if (t <= (-6.8d-164)) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (t <= (-1.8d-204)) then
        tmp = t_2
    else if (t <= 4.2d-251) then
        tmp = y2 * (x * ((c * y0) - (a * y1)))
    else if (t <= 9.6d-9) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	double tmp;
	if (t <= -7.5e+104) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -7.5e+48) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -9.5e-127) {
		tmp = t_2;
	} else if (t <= -6.8e-164) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (t <= -1.8e-204) {
		tmp = t_2;
	} else if (t <= 4.2e-251) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (t <= 9.6e-9) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((t * y2) - (y * y3))
	t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
	tmp = 0
	if t <= -7.5e+104:
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
	elif t <= -7.5e+48:
		tmp = y3 * (z * ((a * y1) - (c * y0)))
	elif t <= -9.5e-127:
		tmp = t_2
	elif t <= -6.8e-164:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif t <= -1.8e-204:
		tmp = t_2
	elif t <= 4.2e-251:
		tmp = y2 * (x * ((c * y0) - (a * y1)))
	elif t <= 9.6e-9:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))
	t_2 = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + t_1))
	tmp = 0.0
	if (t <= -7.5e+104)
		tmp = Float64(y5 * Float64(t_1 + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -7.5e+48)
		tmp = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (t <= -9.5e-127)
		tmp = t_2;
	elseif (t <= -6.8e-164)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (t <= -1.8e-204)
		tmp = t_2;
	elseif (t <= 4.2e-251)
		tmp = Float64(y2 * Float64(x * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (t <= 9.6e-9)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((t * y2) - (y * y3));
	t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	tmp = 0.0;
	if (t <= -7.5e+104)
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -7.5e+48)
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	elseif (t <= -9.5e-127)
		tmp = t_2;
	elseif (t <= -6.8e-164)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (t <= -1.8e-204)
		tmp = t_2;
	elseif (t <= 4.2e-251)
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	elseif (t <= 9.6e-9)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -7.5e+104], N[(y5 * N[(t$95$1 + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -7.5e+48], N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -9.5e-127], t$95$2, If[LessEqual[t, -6.8e-164], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.8e-204], t$95$2, If[LessEqual[t, 4.2e-251], N[(y2 * N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 9.6e-9], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -7.5000000000000002e104

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -7.5000000000000002e104 < t < -7.5000000000000006e48

   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 y3 around -inf 50.2%

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

   4. Taylor expanded in z around inf 75.4%

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

   if -7.5000000000000006e48 < t < -9.4999999999999997e-127 or -6.8e-164 < t < -1.79999999999999982e-204 or 9.5999999999999999e-9 < t

   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 y5 around -inf 45.1%

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

   4. Taylor expanded in k around 0 50.7%

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

      1. +-commutative 50.7%

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

      2. mul-1-neg 50.7%

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

      3. unsub-neg 50.7%

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

      4. *-commutative 50.7%

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

      5. *-commutative 50.7%

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

   6. Simplified 50.7%

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

   if -9.4999999999999997e-127 < t < -6.8e-164

   1. Initial program 17.9%

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

   3. Taylor expanded in y around inf 51.2%

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

   4. Taylor expanded in y1 around inf 68.0%

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

   if -1.79999999999999982e-204 < t < 4.19999999999999964e-251

   1. Initial program 42.7%

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

   3. Taylor expanded in y2 around inf 55.3%

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

   4. Taylor expanded in x around inf 43.4%

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

   if 4.19999999999999964e-251 < t < 9.5999999999999999e-9

   1. Initial program 39.6%

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

   3. Taylor expanded in y3 around -inf 44.1%

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

   4. Taylor expanded in a around -inf 44.2%

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

      1. mul-1-neg 44.2%

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

   6. Simplified 44.2%

      \[\leadsto -1 \cdot \color{blue}{\left(-a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 51.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7.5 \cdot 10^{+104}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{+48}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{-127}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -6.8 \cdot 10^{-164}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-204}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{-251}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 9.6 \cdot 10^{-9}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 32.9% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -8.2 \cdot 10^{+50}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -3 \cdot 10^{-157}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -1.35 \cdot 10^{-237}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -8.6 \cdot 10^{-284}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-304}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+77}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+136} \lor \neg \left(y2 \leq 6.5 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -8.2e+50)
     t_2
     (if (<= y2 -3e-157)
       t_1
       (if (<= y2 -1.35e-237)
         (* y3 (* z (- (* a y1) (* c y0))))
         (if (<= y2 -8.6e-284)
           (* i (* j (- (* x y1) (* t y5))))
           (if (<= y2 9e-304)
             (* i (* k (- (* y y5) (* z y1))))
             (if (<= y2 3.4e+77)
               t_1
               (if (or (<= y2 2.7e+136) (not (<= y2 6.5e+257)))
                 (* t (* y2 (- (* a y5) (* c y4))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -8.2e+50) {
		tmp = t_2;
	} else if (y2 <= -3e-157) {
		tmp = t_1;
	} else if (y2 <= -1.35e-237) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (y2 <= -8.6e-284) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 9e-304) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 3.4e+77) {
		tmp = t_1;
	} else if ((y2 <= 2.7e+136) || !(y2 <= 6.5e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-8.2d+50)) then
        tmp = t_2
    else if (y2 <= (-3d-157)) then
        tmp = t_1
    else if (y2 <= (-1.35d-237)) then
        tmp = y3 * (z * ((a * y1) - (c * y0)))
    else if (y2 <= (-8.6d-284)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y2 <= 9d-304) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= 3.4d+77) then
        tmp = t_1
    else if ((y2 <= 2.7d+136) .or. (.not. (y2 <= 6.5d+257))) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -8.2e+50) {
		tmp = t_2;
	} else if (y2 <= -3e-157) {
		tmp = t_1;
	} else if (y2 <= -1.35e-237) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (y2 <= -8.6e-284) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 9e-304) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 3.4e+77) {
		tmp = t_1;
	} else if ((y2 <= 2.7e+136) || !(y2 <= 6.5e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -8.2e+50:
		tmp = t_2
	elif y2 <= -3e-157:
		tmp = t_1
	elif y2 <= -1.35e-237:
		tmp = y3 * (z * ((a * y1) - (c * y0)))
	elif y2 <= -8.6e-284:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y2 <= 9e-304:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= 3.4e+77:
		tmp = t_1
	elif (y2 <= 2.7e+136) or not (y2 <= 6.5e+257):
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -8.2e+50)
		tmp = t_2;
	elseif (y2 <= -3e-157)
		tmp = t_1;
	elseif (y2 <= -1.35e-237)
		tmp = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (y2 <= -8.6e-284)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y2 <= 9e-304)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= 3.4e+77)
		tmp = t_1;
	elseif ((y2 <= 2.7e+136) || !(y2 <= 6.5e+257))
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -8.2e+50)
		tmp = t_2;
	elseif (y2 <= -3e-157)
		tmp = t_1;
	elseif (y2 <= -1.35e-237)
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	elseif (y2 <= -8.6e-284)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y2 <= 9e-304)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= 3.4e+77)
		tmp = t_1;
	elseif ((y2 <= 2.7e+136) || ~((y2 <= 6.5e+257)))
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -8.2e+50], t$95$2, If[LessEqual[y2, -3e-157], t$95$1, If[LessEqual[y2, -1.35e-237], N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8.6e-284], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9e-304], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.4e+77], t$95$1, If[Or[LessEqual[y2, 2.7e+136], N[Not[LessEqual[y2, 6.5e+257]], $MachinePrecision]], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -8.2000000000000002e50 or 2.7000000000000002e136 < y2 < 6.50000000000000026e257

   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 y2 around inf 53.6%

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

   4. Taylor expanded in k around inf 54.1%

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

   if -8.2000000000000002e50 < y2 < -3e-157 or 8.9999999999999995e-304 < y2 < 3.39999999999999997e77

   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 j around inf 38.9%

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

   4. Taylor expanded in x around inf 42.8%

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

   if -3e-157 < y2 < -1.34999999999999992e-237

   1. Initial program 42.1%

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

   3. Taylor expanded in y3 around -inf 74.4%

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

   4. Taylor expanded in z around inf 48.9%

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

   if -1.34999999999999992e-237 < y2 < -8.6000000000000005e-284

   1. Initial program 23.4%

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

   3. Taylor expanded in j around inf 65.1%

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

   4. Taylor expanded in i around -inf 59.5%

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

      1. mul-1-neg 59.5%

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

   6. Simplified 59.5%

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

   if -8.6000000000000005e-284 < y2 < 8.9999999999999995e-304

   1. Initial program 59.8%

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

   3. Taylor expanded in k around inf 70.3%

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

   4. Taylor expanded in i around inf 50.7%

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

   if 3.39999999999999997e77 < y2 < 2.7000000000000002e136 or 6.50000000000000026e257 < y2

   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 y2 around inf 60.9%

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

   4. Taylor expanded in t around inf 70.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -8.2 \cdot 10^{+50}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3 \cdot 10^{-157}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -1.35 \cdot 10^{-237}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -8.6 \cdot 10^{-284}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-304}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+77}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+136} \lor \neg \left(y2 \leq 6.5 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 32.8% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -9 \cdot 10^{+48}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{-158}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-260}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -2.6 \cdot 10^{-280}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 10^{-299}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{+78}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 6.6 \cdot 10^{+135} \lor \neg \left(y2 \leq 10^{+258}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -9e+48)
     t_2
     (if (<= y2 -1.95e-158)
       t_1
       (if (<= y2 -2.1e-260)
         (* j (* y3 (- (* y0 y5) (* y1 y4))))
         (if (<= y2 -2.6e-280)
           (* i (* j (- (* x y1) (* t y5))))
           (if (<= y2 1e-299)
             (* i (* k (- (* y y5) (* z y1))))
             (if (<= y2 4.2e+78)
               t_1
               (if (or (<= y2 6.6e+135) (not (<= y2 1e+258)))
                 (* t (* y2 (- (* a y5) (* c y4))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -9e+48) {
		tmp = t_2;
	} else if (y2 <= -1.95e-158) {
		tmp = t_1;
	} else if (y2 <= -2.1e-260) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (y2 <= -2.6e-280) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 1e-299) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 4.2e+78) {
		tmp = t_1;
	} else if ((y2 <= 6.6e+135) || !(y2 <= 1e+258)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-9d+48)) then
        tmp = t_2
    else if (y2 <= (-1.95d-158)) then
        tmp = t_1
    else if (y2 <= (-2.1d-260)) then
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    else if (y2 <= (-2.6d-280)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y2 <= 1d-299) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= 4.2d+78) then
        tmp = t_1
    else if ((y2 <= 6.6d+135) .or. (.not. (y2 <= 1d+258))) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -9e+48) {
		tmp = t_2;
	} else if (y2 <= -1.95e-158) {
		tmp = t_1;
	} else if (y2 <= -2.1e-260) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (y2 <= -2.6e-280) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 1e-299) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 4.2e+78) {
		tmp = t_1;
	} else if ((y2 <= 6.6e+135) || !(y2 <= 1e+258)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -9e+48:
		tmp = t_2
	elif y2 <= -1.95e-158:
		tmp = t_1
	elif y2 <= -2.1e-260:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	elif y2 <= -2.6e-280:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y2 <= 1e-299:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= 4.2e+78:
		tmp = t_1
	elif (y2 <= 6.6e+135) or not (y2 <= 1e+258):
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -9e+48)
		tmp = t_2;
	elseif (y2 <= -1.95e-158)
		tmp = t_1;
	elseif (y2 <= -2.1e-260)
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	elseif (y2 <= -2.6e-280)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y2 <= 1e-299)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= 4.2e+78)
		tmp = t_1;
	elseif ((y2 <= 6.6e+135) || !(y2 <= 1e+258))
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -9e+48)
		tmp = t_2;
	elseif (y2 <= -1.95e-158)
		tmp = t_1;
	elseif (y2 <= -2.1e-260)
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	elseif (y2 <= -2.6e-280)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y2 <= 1e-299)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= 4.2e+78)
		tmp = t_1;
	elseif ((y2 <= 6.6e+135) || ~((y2 <= 1e+258)))
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -9e+48], t$95$2, If[LessEqual[y2, -1.95e-158], t$95$1, If[LessEqual[y2, -2.1e-260], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.6e-280], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1e-299], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.2e+78], t$95$1, If[Or[LessEqual[y2, 6.6e+135], N[Not[LessEqual[y2, 1e+258]], $MachinePrecision]], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -8.99999999999999991e48 or 6.5999999999999998e135 < y2 < 1.00000000000000006e258

   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 y2 around inf 53.6%

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

   4. Taylor expanded in k around inf 54.1%

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

   if -8.99999999999999991e48 < y2 < -1.9499999999999998e-158 or 9.99999999999999992e-300 < y2 < 4.2000000000000002e78

   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 j around inf 38.9%

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

   4. Taylor expanded in x around inf 42.8%

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

   if -1.9499999999999998e-158 < y2 < -2.10000000000000005e-260

   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 j around inf 54.0%

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

   4. Taylor expanded in y3 around inf 47.6%

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

      1. neg-mul-1 47.6%

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

      2. distribute-rgt-neg-in 47.6%

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

   6. Simplified 47.6%

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

   if -2.10000000000000005e-260 < y2 < -2.6e-280

   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 50.7%

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

   4. Taylor expanded in i around -inf 75.8%

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

      1. mul-1-neg 75.8%

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

   6. Simplified 75.8%

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

   if -2.6e-280 < y2 < 9.99999999999999992e-300

   1. Initial program 59.8%

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

   3. Taylor expanded in k around inf 70.3%

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

   4. Taylor expanded in i around inf 50.7%

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

   if 4.2000000000000002e78 < y2 < 6.5999999999999998e135 or 1.00000000000000006e258 < y2

   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 y2 around inf 60.9%

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

   4. Taylor expanded in t around inf 70.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -9 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{-158}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-260}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -2.6 \cdot 10^{-280}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 10^{-299}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{+78}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 6.6 \cdot 10^{+135} \lor \neg \left(y2 \leq 10^{+258}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 32.7% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -9.2 \cdot 10^{+49}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -1.55 \cdot 10^{-97}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-236}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-284}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 10^{-301}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 6.8 \cdot 10^{+77}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.55 \cdot 10^{+139} \lor \neg \left(y2 \leq 4.6 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -9.2e+49)
     t_2
     (if (<= y2 -1.55e-97)
       t_1
       (if (<= y2 -5.2e-236)
         (* j (* y0 (- (* y3 y5) (* x b))))
         (if (<= y2 -5.2e-284)
           (* i (* j (- (* x y1) (* t y5))))
           (if (<= y2 1e-301)
             (* i (* k (- (* y y5) (* z y1))))
             (if (<= y2 6.8e+77)
               t_1
               (if (or (<= y2 1.55e+139) (not (<= y2 4.6e+257)))
                 (* t (* y2 (- (* a y5) (* c y4))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -9.2e+49) {
		tmp = t_2;
	} else if (y2 <= -1.55e-97) {
		tmp = t_1;
	} else if (y2 <= -5.2e-236) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y2 <= -5.2e-284) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 1e-301) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 6.8e+77) {
		tmp = t_1;
	} else if ((y2 <= 1.55e+139) || !(y2 <= 4.6e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-9.2d+49)) then
        tmp = t_2
    else if (y2 <= (-1.55d-97)) then
        tmp = t_1
    else if (y2 <= (-5.2d-236)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (y2 <= (-5.2d-284)) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y2 <= 1d-301) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= 6.8d+77) then
        tmp = t_1
    else if ((y2 <= 1.55d+139) .or. (.not. (y2 <= 4.6d+257))) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -9.2e+49) {
		tmp = t_2;
	} else if (y2 <= -1.55e-97) {
		tmp = t_1;
	} else if (y2 <= -5.2e-236) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (y2 <= -5.2e-284) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y2 <= 1e-301) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 6.8e+77) {
		tmp = t_1;
	} else if ((y2 <= 1.55e+139) || !(y2 <= 4.6e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -9.2e+49:
		tmp = t_2
	elif y2 <= -1.55e-97:
		tmp = t_1
	elif y2 <= -5.2e-236:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif y2 <= -5.2e-284:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y2 <= 1e-301:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= 6.8e+77:
		tmp = t_1
	elif (y2 <= 1.55e+139) or not (y2 <= 4.6e+257):
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -9.2e+49)
		tmp = t_2;
	elseif (y2 <= -1.55e-97)
		tmp = t_1;
	elseif (y2 <= -5.2e-236)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y2 <= -5.2e-284)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y2 <= 1e-301)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= 6.8e+77)
		tmp = t_1;
	elseif ((y2 <= 1.55e+139) || !(y2 <= 4.6e+257))
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -9.2e+49)
		tmp = t_2;
	elseif (y2 <= -1.55e-97)
		tmp = t_1;
	elseif (y2 <= -5.2e-236)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (y2 <= -5.2e-284)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y2 <= 1e-301)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= 6.8e+77)
		tmp = t_1;
	elseif ((y2 <= 1.55e+139) || ~((y2 <= 4.6e+257)))
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -9.2e+49], t$95$2, If[LessEqual[y2, -1.55e-97], t$95$1, If[LessEqual[y2, -5.2e-236], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.2e-284], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1e-301], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.8e+77], t$95$1, If[Or[LessEqual[y2, 1.55e+139], N[Not[LessEqual[y2, 4.6e+257]], $MachinePrecision]], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -9.20000000000000008e49 or 1.55e139 < y2 < 4.6e257

   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 y2 around inf 53.6%

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

   4. Taylor expanded in k around inf 54.1%

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

   if -9.20000000000000008e49 < y2 < -1.55000000000000001e-97 or 1.00000000000000007e-301 < y2 < 6.79999999999999993e77

   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 j around inf 37.3%

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

   4. Taylor expanded in x around inf 41.5%

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

   if -1.55000000000000001e-97 < y2 < -5.2000000000000001e-236

   1. Initial program 37.4%

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

   3. Taylor expanded in j around inf 48.8%

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

   4. Taylor expanded in y0 around inf 52.8%

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

   if -5.2000000000000001e-236 < y2 < -5.2e-284

   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 j around inf 61.6%

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

   4. Taylor expanded in i around -inf 56.3%

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

      1. mul-1-neg 56.3%

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

   6. Simplified 56.3%

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

   if -5.2e-284 < y2 < 1.00000000000000007e-301

   1. Initial program 59.8%

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

   3. Taylor expanded in k around inf 70.3%

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

   4. Taylor expanded in i around inf 50.7%

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

   if 6.79999999999999993e77 < y2 < 1.55e139 or 4.6e257 < y2

   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 y2 around inf 60.9%

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

   4. Taylor expanded in t around inf 70.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -9.2 \cdot 10^{+49}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.55 \cdot 10^{-97}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-236}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-284}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 10^{-301}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 6.8 \cdot 10^{+77}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.55 \cdot 10^{+139} \lor \neg \left(y2 \leq 4.6 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 30.3% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot y2 - y \cdot y3\right)\\ \mathbf{if}\;t \leq -8.5 \cdot 10^{+104}:\\ \;\;\;\;y5 \cdot \left(t\_1 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{+52}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.1 \cdot 10^{-202}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + t\_1\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-251}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (- (* t y2) (* y y3)))))
   (if (<= t -8.5e+104)
     (* y5 (+ t_1 (* y0 (- (* j y3) (* k y2)))))
     (if (<= t -9.5e+52)
       (* y3 (* z (- (* a y1) (* c y0))))
       (if (<= t -2.1e-202)
         (* y5 (+ (- (* j (* y0 y3)) (* i (* t j))) t_1))
         (if (<= t 6.2e-251)
           (* y2 (* x (- (* c y0) (* a y1))))
           (if (<= t 1.5e-82)
             (* a (* y3 (- (* z y1) (* y y5))))
             (*
              y3
              (+
               (* y (- (* c y4) (* a y5)))
               (- (* a (* z y1)) (* c (* z y0))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double tmp;
	if (t <= -8.5e+104) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -9.5e+52) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -2.1e-202) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	} else if (t <= 6.2e-251) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (t <= 1.5e-82) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((t * y2) - (y * y3))
    if (t <= (-8.5d+104)) then
        tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
    else if (t <= (-9.5d+52)) then
        tmp = y3 * (z * ((a * y1) - (c * y0)))
    else if (t <= (-2.1d-202)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
    else if (t <= 6.2d-251) then
        tmp = y2 * (x * ((c * y0) - (a * y1)))
    else if (t <= 1.5d-82) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((t * y2) - (y * y3));
	double tmp;
	if (t <= -8.5e+104) {
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	} else if (t <= -9.5e+52) {
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	} else if (t <= -2.1e-202) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	} else if (t <= 6.2e-251) {
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	} else if (t <= 1.5e-82) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((t * y2) - (y * y3))
	tmp = 0
	if t <= -8.5e+104:
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))))
	elif t <= -9.5e+52:
		tmp = y3 * (z * ((a * y1) - (c * y0)))
	elif t <= -2.1e-202:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1)
	elif t <= 6.2e-251:
		tmp = y2 * (x * ((c * y0) - (a * y1)))
	elif t <= 1.5e-82:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	else:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))
	tmp = 0.0
	if (t <= -8.5e+104)
		tmp = Float64(y5 * Float64(t_1 + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (t <= -9.5e+52)
		tmp = Float64(y3 * Float64(z * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (t <= -2.1e-202)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + t_1));
	elseif (t <= 6.2e-251)
		tmp = Float64(y2 * Float64(x * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (t <= 1.5e-82)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	else
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(a * Float64(z * y1)) - Float64(c * Float64(z * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((t * y2) - (y * y3));
	tmp = 0.0;
	if (t <= -8.5e+104)
		tmp = y5 * (t_1 + (y0 * ((j * y3) - (k * y2))));
	elseif (t <= -9.5e+52)
		tmp = y3 * (z * ((a * y1) - (c * y0)));
	elseif (t <= -2.1e-202)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + t_1);
	elseif (t <= 6.2e-251)
		tmp = y2 * (x * ((c * y0) - (a * y1)));
	elseif (t <= 1.5e-82)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	else
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((a * (z * y1)) - (c * (z * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -8.5e+104], N[(y5 * N[(t$95$1 + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -9.5e+52], N[(y3 * N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -2.1e-202], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.2e-251], N[(y2 * N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.5e-82], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(z * y1), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -8.4999999999999999e104

   1. Initial program 23.8%

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

   3. Taylor expanded in y5 around -inf 59.9%

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

   4. Taylor expanded in i around 0 62.5%

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

      1. *-commutative 62.5%

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

      2. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if -8.4999999999999999e104 < t < -9.49999999999999994e52

   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 y3 around -inf 50.2%

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

   4. Taylor expanded in z around inf 75.4%

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

   if -9.49999999999999994e52 < t < -2.09999999999999985e-202

   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 y5 around -inf 42.2%

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

   4. Taylor expanded in k around 0 47.0%

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

      1. +-commutative 47.0%

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

      2. mul-1-neg 47.0%

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

      3. unsub-neg 47.0%

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

      4. *-commutative 47.0%

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

      5. *-commutative 47.0%

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

   6. Simplified 47.0%

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

   if -2.09999999999999985e-202 < t < 6.20000000000000006e-251

   1. Initial program 42.7%

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

   3. Taylor expanded in y2 around inf 55.3%

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

   4. Taylor expanded in x around inf 43.4%

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

   if 6.20000000000000006e-251 < t < 1.4999999999999999e-82

   1. Initial program 31.5%

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

   3. Taylor expanded in y3 around -inf 32.2%

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

   4. Taylor expanded in a around -inf 46.4%

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

      1. mul-1-neg 46.4%

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

   6. Simplified 46.4%

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

   if 1.4999999999999999e-82 < t

   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 y3 around -inf 50.7%

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

   4. Taylor expanded in c around 0 55.0%

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

   5. Taylor expanded in j around 0 51.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(\left(-1 \cdot \left(a \cdot \left(y1 \cdot z\right)\right) + c \cdot \left(y0 \cdot z\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 51.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -8.5 \cdot 10^{+104}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{+52}:\\ \;\;\;\;y3 \cdot \left(z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.1 \cdot 10^{-202}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-251}:\\ \;\;\;\;y2 \cdot \left(x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(a \cdot \left(z \cdot y1\right) - c \cdot \left(z \cdot y0\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 33.5% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{if}\;y \leq -6.5 \cdot 10^{+21}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{-155}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{-305}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-222}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{-29}:\\ \;\;\;\;\left(y1 \cdot y3\right) \cdot \left(z \cdot a - j \cdot y4\right)\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{+240}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (+ (* (* x y) a) (* y4 (- (* t j) (* y k)))))))
   (if (<= y -6.5e+21)
     t_1
     (if (<= y -4.1e-155)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= y -1.35e-305)
         (* y5 (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
         (if (<= y 4.2e-222)
           (* y3 (* y0 (- (* j y5) (* z c))))
           (if (<= y 3.5e-29)
             (* (* y1 y3) (- (* z a) (* j y4)))
             (if (<= y 1.45e+240) t_1 (* y (* y5 (- (* i k) (* a y3))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	double tmp;
	if (y <= -6.5e+21) {
		tmp = t_1;
	} else if (y <= -4.1e-155) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= -1.35e-305) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (y <= 4.2e-222) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (y <= 3.5e-29) {
		tmp = (y1 * y3) * ((z * a) - (j * y4));
	} else if (y <= 1.45e+240) {
		tmp = t_1;
	} else {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))))
    if (y <= (-6.5d+21)) then
        tmp = t_1
    else if (y <= (-4.1d-155)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y <= (-1.35d-305)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (y <= 4.2d-222) then
        tmp = y3 * (y0 * ((j * y5) - (z * c)))
    else if (y <= 3.5d-29) then
        tmp = (y1 * y3) * ((z * a) - (j * y4))
    else if (y <= 1.45d+240) then
        tmp = t_1
    else
        tmp = y * (y5 * ((i * k) - (a * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	double tmp;
	if (y <= -6.5e+21) {
		tmp = t_1;
	} else if (y <= -4.1e-155) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= -1.35e-305) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (y <= 4.2e-222) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (y <= 3.5e-29) {
		tmp = (y1 * y3) * ((z * a) - (j * y4));
	} else if (y <= 1.45e+240) {
		tmp = t_1;
	} else {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))))
	tmp = 0
	if y <= -6.5e+21:
		tmp = t_1
	elif y <= -4.1e-155:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y <= -1.35e-305:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif y <= 4.2e-222:
		tmp = y3 * (y0 * ((j * y5) - (z * c)))
	elif y <= 3.5e-29:
		tmp = (y1 * y3) * ((z * a) - (j * y4))
	elif y <= 1.45e+240:
		tmp = t_1
	else:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(Float64(x * y) * a) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))))
	tmp = 0.0
	if (y <= -6.5e+21)
		tmp = t_1;
	elseif (y <= -4.1e-155)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y <= -1.35e-305)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (y <= 4.2e-222)
		tmp = Float64(y3 * Float64(y0 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (y <= 3.5e-29)
		tmp = Float64(Float64(y1 * y3) * Float64(Float64(z * a) - Float64(j * y4)));
	elseif (y <= 1.45e+240)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	tmp = 0.0;
	if (y <= -6.5e+21)
		tmp = t_1;
	elseif (y <= -4.1e-155)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y <= -1.35e-305)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (y <= 4.2e-222)
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	elseif (y <= 3.5e-29)
		tmp = (y1 * y3) * ((z * a) - (j * y4));
	elseif (y <= 1.45e+240)
		tmp = t_1;
	else
		tmp = y * (y5 * ((i * k) - (a * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -6.5e+21], t$95$1, If[LessEqual[y, -4.1e-155], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.35e-305], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.2e-222], N[(y3 * N[(y0 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.5e-29], N[(N[(y1 * y3), $MachinePrecision] * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.45e+240], t$95$1, N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -6.5e21 or 3.4999999999999997e-29 < y < 1.44999999999999999e240

   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 y around inf 42.0%

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

   4. Taylor expanded in b around inf 53.3%

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

   if -6.5e21 < y < -4.0999999999999998e-155

   1. Initial program 29.6%

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

   3. Taylor expanded in j around inf 43.8%

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

   4. Taylor expanded in x around inf 49.6%

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

   if -4.0999999999999998e-155 < y < -1.35e-305

   1. Initial program 38.7%

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

   3. Taylor expanded in y5 around -inf 54.7%

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

   4. Taylor expanded in i around 0 46.2%

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

      1. *-commutative 46.2%

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

      2. *-commutative 46.2%

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

   6. Simplified 46.2%

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

   if -1.35e-305 < y < 4.1999999999999998e-222

   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 y3 around -inf 50.4%

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

   4. Taylor expanded in y0 around inf 50.8%

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

   if 4.1999999999999998e-222 < y < 3.4999999999999997e-29

   1. Initial program 15.7%

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

   3. Taylor expanded in y3 around -inf 27.1%

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

   4. Taylor expanded in c around 0 29.8%

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

   5. Taylor expanded in y1 around inf 40.4%

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

      1. associate-*r* 40.4%

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

      2. *-commutative 40.4%

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

      3. +-commutative 40.4%

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

      4. mul-1-neg 40.4%

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

      5. unsub-neg 40.4%

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

   7. Simplified 40.4%

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

   if 1.44999999999999999e240 < y

   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 y5 around -inf 62.5%

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

   4. Taylor expanded in y around -inf 69.4%

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

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -6.5 \cdot 10^{+21}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{-155}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{-305}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-222}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{-29}:\\ \;\;\;\;\left(y1 \cdot y3\right) \cdot \left(z \cdot a - j \cdot y4\right)\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{+240}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 33.7% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{if}\;y \leq -1.15 \cdot 10^{-18}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 6.4 \cdot 10^{-221}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;y \leq 4.7 \cdot 10^{-158}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.42 \cdot 10^{-80}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-34}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.42 \cdot 10^{+240}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (+ (* (* x y) a) (* y4 (- (* t j) (* y k)))))))
   (if (<= y -1.15e-18)
     t_1
     (if (<= y 6.4e-221)
       (* y3 (* y0 (- (* j y5) (* z c))))
       (if (<= y 4.7e-158)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= y 1.42e-80)
           (* x (* y2 (- (* c y0) (* a y1))))
           (if (<= y 3.4e-34)
             (* y2 (* y5 (- (* t a) (* k y0))))
             (if (<= y 1.42e+240) t_1 (* y (* y5 (- (* i k) (* a y3))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	double tmp;
	if (y <= -1.15e-18) {
		tmp = t_1;
	} else if (y <= 6.4e-221) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (y <= 4.7e-158) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y <= 1.42e-80) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 3.4e-34) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y <= 1.42e+240) {
		tmp = t_1;
	} else {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))))
    if (y <= (-1.15d-18)) then
        tmp = t_1
    else if (y <= 6.4d-221) then
        tmp = y3 * (y0 * ((j * y5) - (z * c)))
    else if (y <= 4.7d-158) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (y <= 1.42d-80) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y <= 3.4d-34) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (y <= 1.42d+240) then
        tmp = t_1
    else
        tmp = y * (y5 * ((i * k) - (a * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	double tmp;
	if (y <= -1.15e-18) {
		tmp = t_1;
	} else if (y <= 6.4e-221) {
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	} else if (y <= 4.7e-158) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y <= 1.42e-80) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y <= 3.4e-34) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y <= 1.42e+240) {
		tmp = t_1;
	} else {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))))
	tmp = 0
	if y <= -1.15e-18:
		tmp = t_1
	elif y <= 6.4e-221:
		tmp = y3 * (y0 * ((j * y5) - (z * c)))
	elif y <= 4.7e-158:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif y <= 1.42e-80:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y <= 3.4e-34:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif y <= 1.42e+240:
		tmp = t_1
	else:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(Float64(x * y) * a) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))))
	tmp = 0.0
	if (y <= -1.15e-18)
		tmp = t_1;
	elseif (y <= 6.4e-221)
		tmp = Float64(y3 * Float64(y0 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (y <= 4.7e-158)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y <= 1.42e-80)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y <= 3.4e-34)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (y <= 1.42e+240)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (((x * y) * a) + (y4 * ((t * j) - (y * k))));
	tmp = 0.0;
	if (y <= -1.15e-18)
		tmp = t_1;
	elseif (y <= 6.4e-221)
		tmp = y3 * (y0 * ((j * y5) - (z * c)));
	elseif (y <= 4.7e-158)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (y <= 1.42e-80)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y <= 3.4e-34)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (y <= 1.42e+240)
		tmp = t_1;
	else
		tmp = y * (y5 * ((i * k) - (a * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.15e-18], t$95$1, If[LessEqual[y, 6.4e-221], N[(y3 * N[(y0 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.7e-158], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.42e-80], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.4e-34], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.42e+240], t$95$1, N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -1.15e-18 or 3.4000000000000001e-34 < y < 1.41999999999999999e240

   1. Initial program 32.9%

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

   3. Taylor expanded in y around inf 41.2%

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

   4. Taylor expanded in b around inf 49.9%

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

   if -1.15e-18 < y < 6.40000000000000031e-221

   1. Initial program 35.5%

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

   3. Taylor expanded in y3 around -inf 54.7%

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

   4. Taylor expanded in y0 around inf 45.9%

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

   if 6.40000000000000031e-221 < y < 4.70000000000000036e-158

   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 55.3%

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

   4. Taylor expanded in t around inf 65.5%

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

   if 4.70000000000000036e-158 < y < 1.42000000000000004e-80

   1. Initial program 23.4%

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

   3. Taylor expanded in y2 around inf 36.5%

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

   4. Taylor expanded in x around inf 42.2%

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

   if 1.42000000000000004e-80 < y < 3.4000000000000001e-34

   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 y2 around inf 12.6%

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

   4. Taylor expanded in y5 around -inf 50.7%

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

      1. associate-*r* 50.7%

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

      2. neg-mul-1 50.7%

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

   6. Simplified 50.7%

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

   if 1.41999999999999999e240 < y

   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 y5 around -inf 62.5%

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

   4. Taylor expanded in y around -inf 69.4%

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

4. Final simplification 50.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.15 \cdot 10^{-18}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 6.4 \cdot 10^{-221}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;y \leq 4.7 \cdot 10^{-158}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.42 \cdot 10^{-80}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-34}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.42 \cdot 10^{+240}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a + y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 29.0% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -8.2 \cdot 10^{+247}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-179}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-283}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 2.3 \cdot 10^{-70}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;b \leq 2.95 \cdot 10^{+47}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+212}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y3 (- (* z y1) (* y y5))))))
   (if (<= b -8.2e+247)
     (* a (* (* x y) b))
     (if (<= b -1.2e+36)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= b -7.5e-179)
         t_1
         (if (<= b -7e-283)
           (* i (* k (- (* y y5) (* z y1))))
           (if (<= b 2.3e-70)
             t_1
             (if (<= b 2.95e+47)
               (* y1 (* y4 (- (* k y2) (* j y3))))
               (if (<= b 7.5e+212)
                 t_1
                 (* j (* t (- (* b y4) (* i y5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (b <= -8.2e+247) {
		tmp = a * ((x * y) * b);
	} else if (b <= -1.2e+36) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (b <= -7.5e-179) {
		tmp = t_1;
	} else if (b <= -7e-283) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (b <= 2.3e-70) {
		tmp = t_1;
	} else if (b <= 2.95e+47) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (b <= 7.5e+212) {
		tmp = t_1;
	} else {
		tmp = j * (t * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y3 * ((z * y1) - (y * y5)))
    if (b <= (-8.2d+247)) then
        tmp = a * ((x * y) * b)
    else if (b <= (-1.2d+36)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (b <= (-7.5d-179)) then
        tmp = t_1
    else if (b <= (-7d-283)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (b <= 2.3d-70) then
        tmp = t_1
    else if (b <= 2.95d+47) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (b <= 7.5d+212) then
        tmp = t_1
    else
        tmp = j * (t * ((b * y4) - (i * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (b <= -8.2e+247) {
		tmp = a * ((x * y) * b);
	} else if (b <= -1.2e+36) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (b <= -7.5e-179) {
		tmp = t_1;
	} else if (b <= -7e-283) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (b <= 2.3e-70) {
		tmp = t_1;
	} else if (b <= 2.95e+47) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (b <= 7.5e+212) {
		tmp = t_1;
	} else {
		tmp = j * (t * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y3 * ((z * y1) - (y * y5)))
	tmp = 0
	if b <= -8.2e+247:
		tmp = a * ((x * y) * b)
	elif b <= -1.2e+36:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif b <= -7.5e-179:
		tmp = t_1
	elif b <= -7e-283:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif b <= 2.3e-70:
		tmp = t_1
	elif b <= 2.95e+47:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif b <= 7.5e+212:
		tmp = t_1
	else:
		tmp = j * (t * ((b * y4) - (i * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))))
	tmp = 0.0
	if (b <= -8.2e+247)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (b <= -1.2e+36)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (b <= -7.5e-179)
		tmp = t_1;
	elseif (b <= -7e-283)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (b <= 2.3e-70)
		tmp = t_1;
	elseif (b <= 2.95e+47)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (b <= 7.5e+212)
		tmp = t_1;
	else
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y3 * ((z * y1) - (y * y5)));
	tmp = 0.0;
	if (b <= -8.2e+247)
		tmp = a * ((x * y) * b);
	elseif (b <= -1.2e+36)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (b <= -7.5e-179)
		tmp = t_1;
	elseif (b <= -7e-283)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (b <= 2.3e-70)
		tmp = t_1;
	elseif (b <= 2.95e+47)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (b <= 7.5e+212)
		tmp = t_1;
	else
		tmp = j * (t * ((b * y4) - (i * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -8.2e+247], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.2e+36], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.5e-179], t$95$1, If[LessEqual[b, -7e-283], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.3e-70], t$95$1, If[LessEqual[b, 2.95e+47], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7.5e+212], t$95$1, N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if b < -8.2000000000000004e247

   1. Initial program 30.8%

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

   3. Taylor expanded in y around inf 38.5%

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

   4. Taylor expanded in x around inf 47.1%

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

   5. Taylor expanded in a around inf 55.0%

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

      1. *-commutative 55.0%

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

   7. Simplified 55.0%

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

   if -8.2000000000000004e247 < b < -1.19999999999999996e36

   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 j around inf 40.0%

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

   4. Taylor expanded in x around inf 50.7%

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

   if -1.19999999999999996e36 < b < -7.4999999999999996e-179 or -6.9999999999999997e-283 < b < 2.30000000000000001e-70 or 2.95000000000000017e47 < b < 7.5000000000000003e212

   1. Initial program 35.3%

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

   3. Taylor expanded in y3 around -inf 50.1%

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

   4. Taylor expanded in a around -inf 46.6%

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

      1. mul-1-neg 46.6%

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

   6. Simplified 46.6%

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

   if -7.4999999999999996e-179 < b < -6.9999999999999997e-283

   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 k around inf 36.5%

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

   4. Taylor expanded in i around inf 40.1%

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

   if 2.30000000000000001e-70 < b < 2.95000000000000017e47

   1. Initial program 25.0%

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

   3. Taylor expanded in y around inf 26.1%

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

   4. Taylor expanded in y1 around inf 60.8%

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

   if 7.5000000000000003e212 < b

   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 j around inf 55.7%

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

   4. Taylor expanded in t around inf 61.8%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 49.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -8.2 \cdot 10^{+247}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-179}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-283}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 2.3 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.95 \cdot 10^{+47}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+212}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 25.5% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;y \leq -1.02 \cdot 10^{+150}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-71}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -8.6 \cdot 10^{-169}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(c \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-269}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 114000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{+68}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+92}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= y -1.02e+150)
     (* x (* y (* a b)))
     (if (<= y -3.1e-71)
       t_1
       (if (<= y -8.6e-169)
         (* y3 (* y0 (* c (- z))))
         (if (<= y 2.6e-269)
           (* y3 (* y0 (* j y5)))
           (if (<= y 114000.0)
             t_1
             (if (<= y 9.5e+68)
               (* y3 (* y (* c y4)))
               (if (<= y 1.9e+92)
                 (* x (* c (* y (- i))))
                 (* x (* a (* y b))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y <= -1.02e+150) {
		tmp = x * (y * (a * b));
	} else if (y <= -3.1e-71) {
		tmp = t_1;
	} else if (y <= -8.6e-169) {
		tmp = y3 * (y0 * (c * -z));
	} else if (y <= 2.6e-269) {
		tmp = y3 * (y0 * (j * y5));
	} else if (y <= 114000.0) {
		tmp = t_1;
	} else if (y <= 9.5e+68) {
		tmp = y3 * (y * (c * y4));
	} else if (y <= 1.9e+92) {
		tmp = x * (c * (y * -i));
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (y <= (-1.02d+150)) then
        tmp = x * (y * (a * b))
    else if (y <= (-3.1d-71)) then
        tmp = t_1
    else if (y <= (-8.6d-169)) then
        tmp = y3 * (y0 * (c * -z))
    else if (y <= 2.6d-269) then
        tmp = y3 * (y0 * (j * y5))
    else if (y <= 114000.0d0) then
        tmp = t_1
    else if (y <= 9.5d+68) then
        tmp = y3 * (y * (c * y4))
    else if (y <= 1.9d+92) then
        tmp = x * (c * (y * -i))
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y <= -1.02e+150) {
		tmp = x * (y * (a * b));
	} else if (y <= -3.1e-71) {
		tmp = t_1;
	} else if (y <= -8.6e-169) {
		tmp = y3 * (y0 * (c * -z));
	} else if (y <= 2.6e-269) {
		tmp = y3 * (y0 * (j * y5));
	} else if (y <= 114000.0) {
		tmp = t_1;
	} else if (y <= 9.5e+68) {
		tmp = y3 * (y * (c * y4));
	} else if (y <= 1.9e+92) {
		tmp = x * (c * (y * -i));
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if y <= -1.02e+150:
		tmp = x * (y * (a * b))
	elif y <= -3.1e-71:
		tmp = t_1
	elif y <= -8.6e-169:
		tmp = y3 * (y0 * (c * -z))
	elif y <= 2.6e-269:
		tmp = y3 * (y0 * (j * y5))
	elif y <= 114000.0:
		tmp = t_1
	elif y <= 9.5e+68:
		tmp = y3 * (y * (c * y4))
	elif y <= 1.9e+92:
		tmp = x * (c * (y * -i))
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (y <= -1.02e+150)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y <= -3.1e-71)
		tmp = t_1;
	elseif (y <= -8.6e-169)
		tmp = Float64(y3 * Float64(y0 * Float64(c * Float64(-z))));
	elseif (y <= 2.6e-269)
		tmp = Float64(y3 * Float64(y0 * Float64(j * y5)));
	elseif (y <= 114000.0)
		tmp = t_1;
	elseif (y <= 9.5e+68)
		tmp = Float64(y3 * Float64(y * Float64(c * y4)));
	elseif (y <= 1.9e+92)
		tmp = Float64(x * Float64(c * Float64(y * Float64(-i))));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (y <= -1.02e+150)
		tmp = x * (y * (a * b));
	elseif (y <= -3.1e-71)
		tmp = t_1;
	elseif (y <= -8.6e-169)
		tmp = y3 * (y0 * (c * -z));
	elseif (y <= 2.6e-269)
		tmp = y3 * (y0 * (j * y5));
	elseif (y <= 114000.0)
		tmp = t_1;
	elseif (y <= 9.5e+68)
		tmp = y3 * (y * (c * y4));
	elseif (y <= 1.9e+92)
		tmp = x * (c * (y * -i));
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.02e+150], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.1e-71], t$95$1, If[LessEqual[y, -8.6e-169], N[(y3 * N[(y0 * N[(c * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.6e-269], N[(y3 * N[(y0 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 114000.0], t$95$1, If[LessEqual[y, 9.5e+68], N[(y3 * N[(y * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.9e+92], N[(x * N[(c * N[(y * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -1.0199999999999999e150

   1. Initial program 42.3%

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

   3. Taylor expanded in y around inf 34.6%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 50.9%

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

      1. associate-*r* 50.9%

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

   7. Simplified 50.9%

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

   if -1.0199999999999999e150 < y < -3.10000000000000002e-71 or 2.6e-269 < y < 114000

   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 j around inf 47.8%

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

   4. Taylor expanded in b around inf 36.9%

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

   if -3.10000000000000002e-71 < y < -8.59999999999999967e-169

   1. Initial program 40.7%

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

   3. Taylor expanded in y3 around -inf 60.1%

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

   4. Taylor expanded in y0 around inf 50.5%

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

   5. Taylor expanded in j around 0 37.2%

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

      1. *-commutative 37.2%

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

   7. Simplified 37.2%

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

   if -8.59999999999999967e-169 < y < 2.6e-269

   1. Initial program 37.0%

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

   3. Taylor expanded in y3 around -inf 54.2%

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

   4. Taylor expanded in y0 around inf 40.6%

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

   5. Taylor expanded in j around inf 30.8%

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

      1. neg-mul-1 30.8%

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

      2. distribute-rgt-neg-in 30.8%

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

   7. Simplified 30.8%

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

   if 114000 < y < 9.50000000000000069e68

   1. Initial program 45.5%

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

   3. Taylor expanded in y3 around -inf 63.7%

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

   4. Taylor expanded in y around inf 46.5%

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

   5. Taylor expanded in a around 0 45.9%

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

      1. neg-mul-1 45.9%

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

      2. distribute-rgt-neg-in 45.9%

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

   7. Simplified 45.9%

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

   if 9.50000000000000069e68 < y < 1.9e92

   1. Initial program 25.0%

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

   3. Taylor expanded in y around inf 75.0%

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

   4. Taylor expanded in x around inf 75.2%

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

   5. Taylor expanded in a around 0 75.4%

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

      1. mul-1-neg 75.4%

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

   7. Simplified 75.4%

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

   if 1.9e92 < y

   1. Initial program 30.7%

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

   3. Taylor expanded in y around inf 36.9%

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

   4. Taylor expanded in x around inf 47.4%

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

   5. Taylor expanded in a around inf 47.3%

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

4. Final simplification 40.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.02 \cdot 10^{+150}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-71}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -8.6 \cdot 10^{-169}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(c \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-269}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 114000:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{+68}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+92}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 32.5% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -9.5 \cdot 10^{+45}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-159}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-301}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+79}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 2.6 \cdot 10^{+135} \lor \neg \left(y2 \leq 8 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -9.5e+45)
     t_2
     (if (<= y2 -5.2e-159)
       t_1
       (if (<= y2 6.5e-301)
         (* i (* k (- (* y y5) (* z y1))))
         (if (<= y2 2.7e+79)
           t_1
           (if (or (<= y2 2.6e+135) (not (<= y2 8e+257)))
             (* t (* y2 (- (* a y5) (* c y4))))
             t_2)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -9.5e+45) {
		tmp = t_2;
	} else if (y2 <= -5.2e-159) {
		tmp = t_1;
	} else if (y2 <= 6.5e-301) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 2.7e+79) {
		tmp = t_1;
	} else if ((y2 <= 2.6e+135) || !(y2 <= 8e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-9.5d+45)) then
        tmp = t_2
    else if (y2 <= (-5.2d-159)) then
        tmp = t_1
    else if (y2 <= 6.5d-301) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= 2.7d+79) then
        tmp = t_1
    else if ((y2 <= 2.6d+135) .or. (.not. (y2 <= 8d+257))) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -9.5e+45) {
		tmp = t_2;
	} else if (y2 <= -5.2e-159) {
		tmp = t_1;
	} else if (y2 <= 6.5e-301) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 2.7e+79) {
		tmp = t_1;
	} else if ((y2 <= 2.6e+135) || !(y2 <= 8e+257)) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -9.5e+45:
		tmp = t_2
	elif y2 <= -5.2e-159:
		tmp = t_1
	elif y2 <= 6.5e-301:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= 2.7e+79:
		tmp = t_1
	elif (y2 <= 2.6e+135) or not (y2 <= 8e+257):
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -9.5e+45)
		tmp = t_2;
	elseif (y2 <= -5.2e-159)
		tmp = t_1;
	elseif (y2 <= 6.5e-301)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= 2.7e+79)
		tmp = t_1;
	elseif ((y2 <= 2.6e+135) || !(y2 <= 8e+257))
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -9.5e+45)
		tmp = t_2;
	elseif (y2 <= -5.2e-159)
		tmp = t_1;
	elseif (y2 <= 6.5e-301)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= 2.7e+79)
		tmp = t_1;
	elseif ((y2 <= 2.6e+135) || ~((y2 <= 8e+257)))
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -9.5e+45], t$95$2, If[LessEqual[y2, -5.2e-159], t$95$1, If[LessEqual[y2, 6.5e-301], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.7e+79], t$95$1, If[Or[LessEqual[y2, 2.6e+135], N[Not[LessEqual[y2, 8e+257]], $MachinePrecision]], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y2 < -9.4999999999999998e45 or 2.6e135 < y2 < 8.00000000000000024e257

   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 y2 around inf 53.6%

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

   4. Taylor expanded in k around inf 54.1%

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

   if -9.4999999999999998e45 < y2 < -5.1999999999999997e-159 or 6.49999999999999991e-301 < y2 < 2.7e79

   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 40.0%

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

   4. Taylor expanded in x around inf 42.9%

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

   if -5.1999999999999997e-159 < y2 < 6.49999999999999991e-301

   1. Initial program 38.6%

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

   3. Taylor expanded in k around inf 46.1%

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

   4. Taylor expanded in i around inf 40.0%

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

   if 2.7e79 < y2 < 2.6e135 or 8.00000000000000024e257 < y2

   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 y2 around inf 60.9%

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

   4. Taylor expanded in t around inf 70.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 48.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -9.5 \cdot 10^{+45}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-301}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+79}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.6 \cdot 10^{+135} \lor \neg \left(y2 \leq 8 \cdot 10^{+257}\right):\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 31.2% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{if}\;k \leq -4 \cdot 10^{+29}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-52}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq -6.2 \cdot 10^{-118}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -2.15 \cdot 10^{-201}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-298}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{+73}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* k (- (* y y5) (* z y1))))))
   (if (<= k -4e+29)
     t_1
     (if (<= k -6e-52)
       (* j (* y0 (- (* y3 y5) (* x b))))
       (if (<= k -6.2e-118)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= k -2.15e-201)
           (* c (* y (* y3 y4)))
           (if (<= k -1.3e-298)
             (* b (* j (- (* t y4) (* x y0))))
             (if (<= k 1.6e+73) (* j (* x (- (* i y1) (* b 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 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -4e+29) {
		tmp = t_1;
	} else if (k <= -6e-52) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (k <= -6.2e-118) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= -2.15e-201) {
		tmp = c * (y * (y3 * y4));
	} else if (k <= -1.3e-298) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (k <= 1.6e+73) {
		tmp = j * (x * ((i * y1) - (b * 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 = i * (k * ((y * y5) - (z * y1)))
    if (k <= (-4d+29)) then
        tmp = t_1
    else if (k <= (-6d-52)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (k <= (-6.2d-118)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= (-2.15d-201)) then
        tmp = c * (y * (y3 * y4))
    else if (k <= (-1.3d-298)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (k <= 1.6d+73) then
        tmp = j * (x * ((i * y1) - (b * 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 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -4e+29) {
		tmp = t_1;
	} else if (k <= -6e-52) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (k <= -6.2e-118) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= -2.15e-201) {
		tmp = c * (y * (y3 * y4));
	} else if (k <= -1.3e-298) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (k <= 1.6e+73) {
		tmp = j * (x * ((i * y1) - (b * 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 = i * (k * ((y * y5) - (z * y1)))
	tmp = 0
	if k <= -4e+29:
		tmp = t_1
	elif k <= -6e-52:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif k <= -6.2e-118:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= -2.15e-201:
		tmp = c * (y * (y3 * y4))
	elif k <= -1.3e-298:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif k <= 1.6e+73:
		tmp = j * (x * ((i * y1) - (b * 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(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	tmp = 0.0
	if (k <= -4e+29)
		tmp = t_1;
	elseif (k <= -6e-52)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (k <= -6.2e-118)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= -2.15e-201)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (k <= -1.3e-298)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (k <= 1.6e+73)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * 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 = i * (k * ((y * y5) - (z * y1)));
	tmp = 0.0;
	if (k <= -4e+29)
		tmp = t_1;
	elseif (k <= -6e-52)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (k <= -6.2e-118)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= -2.15e-201)
		tmp = c * (y * (y3 * y4));
	elseif (k <= -1.3e-298)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (k <= 1.6e+73)
		tmp = j * (x * ((i * y1) - (b * 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[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4e+29], t$95$1, If[LessEqual[k, -6e-52], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -6.2e-118], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.15e-201], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.3e-298], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.6e+73], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -3.99999999999999966e29 or 1.59999999999999991e73 < k

   1. Initial program 22.7%

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

   3. Taylor expanded in k around inf 47.8%

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

   4. Taylor expanded in i around inf 46.5%

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

   if -3.99999999999999966e29 < k < -6e-52

   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 57.7%

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

   4. Taylor expanded in y0 around inf 58.1%

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

   if -6e-52 < k < -6.2000000000000002e-118

   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 j around inf 55.2%

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

   4. Taylor expanded in t around inf 46.2%

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

   if -6.2000000000000002e-118 < k < -2.1499999999999999e-201

   1. Initial program 41.7%

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

   3. Taylor expanded in y3 around -inf 58.4%

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

   4. Taylor expanded in y around inf 34.3%

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

   5. Taylor expanded in a around 0 42.3%

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

      1. mul-1-neg 42.3%

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

      2. *-commutative 42.3%

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

      3. distribute-rgt-neg-in 42.3%

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

   7. Simplified 42.3%

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

   if -2.1499999999999999e-201 < k < -1.2999999999999999e-298

   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 j around inf 50.9%

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

   4. Taylor expanded in b around inf 41.0%

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

   if -1.2999999999999999e-298 < k < 1.59999999999999991e73

   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 j around inf 40.3%

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

   4. Taylor expanded in x around inf 37.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4 \cdot 10^{+29}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-52}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq -6.2 \cdot 10^{-118}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -2.15 \cdot 10^{-201}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-298}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{+73}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 21.3% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -2.7 \cdot 10^{+150}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{+37}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-169}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(c \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-218}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -2.7e+150)
   (* x (* y (* a b)))
   (if (<= y -3.1e+37)
     (* b (* j (* t y4)))
     (if (<= y -7.2e-46)
       (* j (* y0 (* y3 y5)))
       (if (<= y -1.1e-169)
         (* y3 (* y0 (* c (- z))))
         (if (<= y 8.5e-218)
           (* y3 (* y0 (* j y5)))
           (if (<= y 2.9e-25)
             (* j (* (* y1 y4) (- y3)))
             (* x (* a (* y b))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -2.7e+150) {
		tmp = x * (y * (a * b));
	} else if (y <= -3.1e+37) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.2e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= -1.1e-169) {
		tmp = y3 * (y0 * (c * -z));
	} else if (y <= 8.5e-218) {
		tmp = y3 * (y0 * (j * y5));
	} else if (y <= 2.9e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-2.7d+150)) then
        tmp = x * (y * (a * b))
    else if (y <= (-3.1d+37)) then
        tmp = b * (j * (t * y4))
    else if (y <= (-7.2d-46)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= (-1.1d-169)) then
        tmp = y3 * (y0 * (c * -z))
    else if (y <= 8.5d-218) then
        tmp = y3 * (y0 * (j * y5))
    else if (y <= 2.9d-25) then
        tmp = j * ((y1 * y4) * -y3)
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -2.7e+150) {
		tmp = x * (y * (a * b));
	} else if (y <= -3.1e+37) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.2e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= -1.1e-169) {
		tmp = y3 * (y0 * (c * -z));
	} else if (y <= 8.5e-218) {
		tmp = y3 * (y0 * (j * y5));
	} else if (y <= 2.9e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -2.7e+150:
		tmp = x * (y * (a * b))
	elif y <= -3.1e+37:
		tmp = b * (j * (t * y4))
	elif y <= -7.2e-46:
		tmp = j * (y0 * (y3 * y5))
	elif y <= -1.1e-169:
		tmp = y3 * (y0 * (c * -z))
	elif y <= 8.5e-218:
		tmp = y3 * (y0 * (j * y5))
	elif y <= 2.9e-25:
		tmp = j * ((y1 * y4) * -y3)
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -2.7e+150)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y <= -3.1e+37)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y <= -7.2e-46)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= -1.1e-169)
		tmp = Float64(y3 * Float64(y0 * Float64(c * Float64(-z))));
	elseif (y <= 8.5e-218)
		tmp = Float64(y3 * Float64(y0 * Float64(j * y5)));
	elseif (y <= 2.9e-25)
		tmp = Float64(j * Float64(Float64(y1 * y4) * Float64(-y3)));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -2.7e+150)
		tmp = x * (y * (a * b));
	elseif (y <= -3.1e+37)
		tmp = b * (j * (t * y4));
	elseif (y <= -7.2e-46)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= -1.1e-169)
		tmp = y3 * (y0 * (c * -z));
	elseif (y <= 8.5e-218)
		tmp = y3 * (y0 * (j * y5));
	elseif (y <= 2.9e-25)
		tmp = j * ((y1 * y4) * -y3);
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -2.7e+150], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.1e+37], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.2e-46], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.1e-169], N[(y3 * N[(y0 * N[(c * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8.5e-218], N[(y3 * N[(y0 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.9e-25], N[(j * N[(N[(y1 * y4), $MachinePrecision] * (-y3)), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -2.70000000000000008e150

   1. Initial program 42.3%

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

   3. Taylor expanded in y around inf 34.6%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 50.9%

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

      1. associate-*r* 50.9%

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

   7. Simplified 50.9%

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

   if -2.70000000000000008e150 < y < -3.1000000000000002e37

   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 j around inf 45.1%

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

   4. Taylor expanded in b around inf 37.7%

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

   5. Taylor expanded in t around inf 30.5%

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

      1. *-commutative 30.5%

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

   7. Simplified 30.5%

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

   if -3.1000000000000002e37 < y < -7.2e-46

   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 j around inf 47.8%

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

   4. Taylor expanded in y3 around inf 33.8%

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

      1. neg-mul-1 33.8%

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

      2. distribute-rgt-neg-in 33.8%

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

   6. Simplified 33.8%

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

   7. Taylor expanded in y1 around 0 38.8%

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

   if -7.2e-46 < y < -1.10000000000000004e-169

   1. Initial program 38.3%

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

   3. Taylor expanded in y3 around -inf 58.5%

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

   4. Taylor expanded in y0 around inf 46.7%

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

   5. Taylor expanded in j around 0 35.4%

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

      1. *-commutative 35.4%

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

   7. Simplified 35.4%

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

   if -1.10000000000000004e-169 < y < 8.5000000000000004e-218

   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 y3 around -inf 51.3%

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

   4. Taylor expanded in y0 around inf 41.1%

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

   5. Taylor expanded in j around inf 29.6%

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

      1. neg-mul-1 29.6%

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

      2. distribute-rgt-neg-in 29.6%

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

   7. Simplified 29.6%

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

   if 8.5000000000000004e-218 < y < 2.9000000000000001e-25

   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 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 y3 around inf 27.4%

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

      1. neg-mul-1 27.4%

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

      2. distribute-rgt-neg-in 27.4%

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

   6. Simplified 27.4%

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

   7. Taylor expanded in y1 around inf 27.3%

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

   if 2.9000000000000001e-25 < y

   1. Initial program 33.9%

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

   3. Taylor expanded in y around inf 42.9%

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

   4. Taylor expanded in x around inf 47.7%

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

   5. Taylor expanded in a around inf 42.0%

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

4. Final simplification 36.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.7 \cdot 10^{+150}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{+37}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-169}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(c \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-218}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 28.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{if}\;k \leq -7.4 \cdot 10^{-28}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -4.3 \cdot 10^{-268}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-257}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(z \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;k \leq 4.7 \cdot 10^{-111}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{+79}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* k (- (* y y5) (* z y1))))))
   (if (<= k -7.4e-28)
     t_1
     (if (<= k -4.3e-268)
       (* j (* t (- (* b y4) (* i y5))))
       (if (<= k 1.25e-257)
         (* c (* y0 (* z (- y3))))
         (if (<= k 4.7e-111)
           (* j (* (* y1 y4) (- y3)))
           (if (<= k 1.25e+79) (* x (* a (* y b))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -7.4e-28) {
		tmp = t_1;
	} else if (k <= -4.3e-268) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1.25e-257) {
		tmp = c * (y0 * (z * -y3));
	} else if (k <= 4.7e-111) {
		tmp = j * ((y1 * y4) * -y3);
	} else if (k <= 1.25e+79) {
		tmp = x * (a * (y * b));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (k * ((y * y5) - (z * y1)))
    if (k <= (-7.4d-28)) then
        tmp = t_1
    else if (k <= (-4.3d-268)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 1.25d-257) then
        tmp = c * (y0 * (z * -y3))
    else if (k <= 4.7d-111) then
        tmp = j * ((y1 * y4) * -y3)
    else if (k <= 1.25d+79) then
        tmp = x * (a * (y * b))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -7.4e-28) {
		tmp = t_1;
	} else if (k <= -4.3e-268) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1.25e-257) {
		tmp = c * (y0 * (z * -y3));
	} else if (k <= 4.7e-111) {
		tmp = j * ((y1 * y4) * -y3);
	} else if (k <= 1.25e+79) {
		tmp = x * (a * (y * b));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (k * ((y * y5) - (z * y1)))
	tmp = 0
	if k <= -7.4e-28:
		tmp = t_1
	elif k <= -4.3e-268:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 1.25e-257:
		tmp = c * (y0 * (z * -y3))
	elif k <= 4.7e-111:
		tmp = j * ((y1 * y4) * -y3)
	elif k <= 1.25e+79:
		tmp = x * (a * (y * b))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	tmp = 0.0
	if (k <= -7.4e-28)
		tmp = t_1;
	elseif (k <= -4.3e-268)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 1.25e-257)
		tmp = Float64(c * Float64(y0 * Float64(z * Float64(-y3))));
	elseif (k <= 4.7e-111)
		tmp = Float64(j * Float64(Float64(y1 * y4) * Float64(-y3)));
	elseif (k <= 1.25e+79)
		tmp = Float64(x * Float64(a * Float64(y * b)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (k * ((y * y5) - (z * y1)));
	tmp = 0.0;
	if (k <= -7.4e-28)
		tmp = t_1;
	elseif (k <= -4.3e-268)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 1.25e-257)
		tmp = c * (y0 * (z * -y3));
	elseif (k <= 4.7e-111)
		tmp = j * ((y1 * y4) * -y3);
	elseif (k <= 1.25e+79)
		tmp = x * (a * (y * b));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -7.4e-28], t$95$1, If[LessEqual[k, -4.3e-268], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.25e-257], N[(c * N[(y0 * N[(z * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4.7e-111], N[(j * N[(N[(y1 * y4), $MachinePrecision] * (-y3)), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.25e+79], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if k < -7.40000000000000039e-28 or 1.25e79 < k

   1. Initial program 23.8%

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

   3. Taylor expanded in k around inf 47.2%

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

   4. Taylor expanded in i around inf 45.0%

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

   if -7.40000000000000039e-28 < k < -4.3e-268

   1. Initial program 45.4%

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

   3. Taylor expanded in j around inf 57.3%

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

   4. Taylor expanded in t around inf 33.6%

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

   if -4.3e-268 < k < 1.24999999999999997e-257

   1. Initial program 42.9%

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

   3. Taylor expanded in y3 around -inf 43.3%

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

   4. Taylor expanded in y0 around inf 37.7%

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

   5. Taylor expanded in j around 0 43.7%

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

   if 1.24999999999999997e-257 < k < 4.70000000000000006e-111

   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 j around inf 44.9%

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

   4. Taylor expanded in y3 around inf 34.4%

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

      1. neg-mul-1 34.4%

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

      2. distribute-rgt-neg-in 34.4%

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

   6. Simplified 34.4%

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

   7. Taylor expanded in y1 around inf 39.1%

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

   if 4.70000000000000006e-111 < k < 1.25e79

   1. Initial program 23.8%

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

   3. Taylor expanded in y around inf 37.5%

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

   4. Taylor expanded in x around inf 43.1%

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

   5. Taylor expanded in a around inf 37.9%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 40.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -7.4 \cdot 10^{-28}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -4.3 \cdot 10^{-268}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-257}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(z \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;k \leq 4.7 \cdot 10^{-111}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{+79}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 29.1% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{if}\;k \leq -3.3 \cdot 10^{-17}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-300}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{-126}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{elif}\;k \leq 2.1 \cdot 10^{-53}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.3 \cdot 10^{+74}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0)))))
        (t_2 (* i (* k (- (* y y5) (* z y1))))))
   (if (<= k -3.3e-17)
     t_2
     (if (<= k 1.9e-300)
       t_1
       (if (<= k 1.15e-126)
         (* j (* (* y1 y4) (- y3)))
         (if (<= k 2.1e-53)
           t_1
           (if (<= k 1.3e+74) (* x (* y (* a b))) t_2)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -3.3e-17) {
		tmp = t_2;
	} else if (k <= 1.9e-300) {
		tmp = t_1;
	} else if (k <= 1.15e-126) {
		tmp = j * ((y1 * y4) * -y3);
	} else if (k <= 2.1e-53) {
		tmp = t_1;
	} else if (k <= 1.3e+74) {
		tmp = x * (y * (a * b));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    t_2 = i * (k * ((y * y5) - (z * y1)))
    if (k <= (-3.3d-17)) then
        tmp = t_2
    else if (k <= 1.9d-300) then
        tmp = t_1
    else if (k <= 1.15d-126) then
        tmp = j * ((y1 * y4) * -y3)
    else if (k <= 2.1d-53) then
        tmp = t_1
    else if (k <= 1.3d+74) then
        tmp = x * (y * (a * b))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -3.3e-17) {
		tmp = t_2;
	} else if (k <= 1.9e-300) {
		tmp = t_1;
	} else if (k <= 1.15e-126) {
		tmp = j * ((y1 * y4) * -y3);
	} else if (k <= 2.1e-53) {
		tmp = t_1;
	} else if (k <= 1.3e+74) {
		tmp = x * (y * (a * b));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	t_2 = i * (k * ((y * y5) - (z * y1)))
	tmp = 0
	if k <= -3.3e-17:
		tmp = t_2
	elif k <= 1.9e-300:
		tmp = t_1
	elif k <= 1.15e-126:
		tmp = j * ((y1 * y4) * -y3)
	elif k <= 2.1e-53:
		tmp = t_1
	elif k <= 1.3e+74:
		tmp = x * (y * (a * b))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	t_2 = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	tmp = 0.0
	if (k <= -3.3e-17)
		tmp = t_2;
	elseif (k <= 1.9e-300)
		tmp = t_1;
	elseif (k <= 1.15e-126)
		tmp = Float64(j * Float64(Float64(y1 * y4) * Float64(-y3)));
	elseif (k <= 2.1e-53)
		tmp = t_1;
	elseif (k <= 1.3e+74)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	t_2 = i * (k * ((y * y5) - (z * y1)));
	tmp = 0.0;
	if (k <= -3.3e-17)
		tmp = t_2;
	elseif (k <= 1.9e-300)
		tmp = t_1;
	elseif (k <= 1.15e-126)
		tmp = j * ((y1 * y4) * -y3);
	elseif (k <= 2.1e-53)
		tmp = t_1;
	elseif (k <= 1.3e+74)
		tmp = x * (y * (a * b));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3.3e-17], t$95$2, If[LessEqual[k, 1.9e-300], t$95$1, If[LessEqual[k, 1.15e-126], N[(j * N[(N[(y1 * y4), $MachinePrecision] * (-y3)), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.1e-53], t$95$1, If[LessEqual[k, 1.3e+74], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]

Derivation

1. Split input into 4 regimes

2. if k < -3.3e-17 or 1.3e74 < k

   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 k around inf 47.6%

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

   4. Taylor expanded in i around inf 45.4%

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

   if -3.3e-17 < k < 1.90000000000000006e-300 or 1.15000000000000005e-126 < k < 2.09999999999999977e-53

   1. Initial program 46.7%

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

   3. Taylor expanded in j around inf 52.7%

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

   4. Taylor expanded in b around inf 34.3%

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

   if 1.90000000000000006e-300 < k < 1.15000000000000005e-126

   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 j around inf 39.0%

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

   4. Taylor expanded in y3 around inf 29.5%

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

      1. neg-mul-1 29.5%

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

      2. distribute-rgt-neg-in 29.5%

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

   6. Simplified 29.5%

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

   7. Taylor expanded in y1 around inf 33.8%

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

   if 2.09999999999999977e-53 < k < 1.3e74

   1. Initial program 18.1%

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

   3. Taylor expanded in y around inf 36.1%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 40.3%

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

      1. associate-*r* 43.8%

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

   7. Simplified 43.8%

      \[\leadsto x \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot y\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 40.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.3 \cdot 10^{-17}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-300}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{-126}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{elif}\;k \leq 2.1 \cdot 10^{-53}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.3 \cdot 10^{+74}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 21.6% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -5.5 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -1.02 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 8.8 \cdot 10^{-240}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(c \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -5.5e+149)
   (* x (* y (* a b)))
   (if (<= y -1.02e+40)
     (* b (* j (* t y4)))
     (if (<= y -7.5e-46)
       (* j (* y0 (* y3 y5)))
       (if (<= y 8.8e-240)
         (* y3 (* y0 (* c (- z))))
         (if (<= y 5e-25) (* j (* (* y1 y4) (- y3))) (* x (* a (* y b)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -5.5e+149) {
		tmp = x * (y * (a * b));
	} else if (y <= -1.02e+40) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.5e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 8.8e-240) {
		tmp = y3 * (y0 * (c * -z));
	} else if (y <= 5e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-5.5d+149)) then
        tmp = x * (y * (a * b))
    else if (y <= (-1.02d+40)) then
        tmp = b * (j * (t * y4))
    else if (y <= (-7.5d-46)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 8.8d-240) then
        tmp = y3 * (y0 * (c * -z))
    else if (y <= 5d-25) then
        tmp = j * ((y1 * y4) * -y3)
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -5.5e+149) {
		tmp = x * (y * (a * b));
	} else if (y <= -1.02e+40) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.5e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 8.8e-240) {
		tmp = y3 * (y0 * (c * -z));
	} else if (y <= 5e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -5.5e+149:
		tmp = x * (y * (a * b))
	elif y <= -1.02e+40:
		tmp = b * (j * (t * y4))
	elif y <= -7.5e-46:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 8.8e-240:
		tmp = y3 * (y0 * (c * -z))
	elif y <= 5e-25:
		tmp = j * ((y1 * y4) * -y3)
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -5.5e+149)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y <= -1.02e+40)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y <= -7.5e-46)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 8.8e-240)
		tmp = Float64(y3 * Float64(y0 * Float64(c * Float64(-z))));
	elseif (y <= 5e-25)
		tmp = Float64(j * Float64(Float64(y1 * y4) * Float64(-y3)));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -5.5e+149)
		tmp = x * (y * (a * b));
	elseif (y <= -1.02e+40)
		tmp = b * (j * (t * y4));
	elseif (y <= -7.5e-46)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 8.8e-240)
		tmp = y3 * (y0 * (c * -z));
	elseif (y <= 5e-25)
		tmp = j * ((y1 * y4) * -y3);
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -5.5e+149], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.02e+40], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.5e-46], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8.8e-240], N[(y3 * N[(y0 * N[(c * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5e-25], N[(j * N[(N[(y1 * y4), $MachinePrecision] * (-y3)), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -5.49999999999999999e149

   1. Initial program 42.3%

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

   3. Taylor expanded in y around inf 34.6%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 50.9%

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

      1. associate-*r* 50.9%

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

   7. Simplified 50.9%

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

   if -5.49999999999999999e149 < y < -1.02e40

   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 j around inf 45.1%

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

   4. Taylor expanded in b around inf 37.7%

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

   5. Taylor expanded in t around inf 30.5%

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

      1. *-commutative 30.5%

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

   7. Simplified 30.5%

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

   if -1.02e40 < y < -7.50000000000000027e-46

   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 j around inf 47.8%

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

   4. Taylor expanded in y3 around inf 33.8%

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

      1. neg-mul-1 33.8%

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

      2. distribute-rgt-neg-in 33.8%

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

   6. Simplified 33.8%

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

   7. Taylor expanded in y1 around 0 38.8%

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

   if -7.50000000000000027e-46 < y < 8.7999999999999997e-240

   1. Initial program 38.5%

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

   3. Taylor expanded in y3 around -inf 54.6%

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

   4. Taylor expanded in y0 around inf 43.3%

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

   5. Taylor expanded in j around 0 25.9%

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

      1. *-commutative 25.9%

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

   7. Simplified 25.9%

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

   if 8.7999999999999997e-240 < y < 4.99999999999999962e-25

   1. Initial program 17.0%

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

   3. Taylor expanded in j around inf 37.4%

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

   4. Taylor expanded in y3 around inf 30.3%

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

      1. neg-mul-1 30.3%

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

      2. distribute-rgt-neg-in 30.3%

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

   6. Simplified 30.3%

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

   7. Taylor expanded in y1 around inf 27.8%

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

   if 4.99999999999999962e-25 < y

   1. Initial program 33.9%

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

   3. Taylor expanded in y around inf 42.9%

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

   4. Taylor expanded in x around inf 47.7%

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

   5. Taylor expanded in a around inf 42.0%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 34.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -5.5 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -1.02 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 8.8 \cdot 10^{-240}:\\ \;\;\;\;y3 \cdot \left(y0 \cdot \left(c \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 21.5% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -5.5 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-285}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(z \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -5.5e+149)
   (* x (* y (* a b)))
   (if (<= y -1.4e+40)
     (* b (* j (* t y4)))
     (if (<= y -7.2e-46)
       (* j (* y0 (* y3 y5)))
       (if (<= y 3.6e-285)
         (* c (* y0 (* z (- y3))))
         (if (<= y 4.6e-25)
           (* j (* (* y1 y4) (- y3)))
           (* x (* a (* y b)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -5.5e+149) {
		tmp = x * (y * (a * b));
	} else if (y <= -1.4e+40) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.2e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 3.6e-285) {
		tmp = c * (y0 * (z * -y3));
	} else if (y <= 4.6e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-5.5d+149)) then
        tmp = x * (y * (a * b))
    else if (y <= (-1.4d+40)) then
        tmp = b * (j * (t * y4))
    else if (y <= (-7.2d-46)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 3.6d-285) then
        tmp = c * (y0 * (z * -y3))
    else if (y <= 4.6d-25) then
        tmp = j * ((y1 * y4) * -y3)
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -5.5e+149) {
		tmp = x * (y * (a * b));
	} else if (y <= -1.4e+40) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.2e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 3.6e-285) {
		tmp = c * (y0 * (z * -y3));
	} else if (y <= 4.6e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -5.5e+149:
		tmp = x * (y * (a * b))
	elif y <= -1.4e+40:
		tmp = b * (j * (t * y4))
	elif y <= -7.2e-46:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 3.6e-285:
		tmp = c * (y0 * (z * -y3))
	elif y <= 4.6e-25:
		tmp = j * ((y1 * y4) * -y3)
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -5.5e+149)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y <= -1.4e+40)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y <= -7.2e-46)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 3.6e-285)
		tmp = Float64(c * Float64(y0 * Float64(z * Float64(-y3))));
	elseif (y <= 4.6e-25)
		tmp = Float64(j * Float64(Float64(y1 * y4) * Float64(-y3)));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -5.5e+149)
		tmp = x * (y * (a * b));
	elseif (y <= -1.4e+40)
		tmp = b * (j * (t * y4));
	elseif (y <= -7.2e-46)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 3.6e-285)
		tmp = c * (y0 * (z * -y3));
	elseif (y <= 4.6e-25)
		tmp = j * ((y1 * y4) * -y3);
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -5.5e+149], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.4e+40], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.2e-46], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.6e-285], N[(c * N[(y0 * N[(z * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.6e-25], N[(j * N[(N[(y1 * y4), $MachinePrecision] * (-y3)), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -5.49999999999999999e149

   1. Initial program 42.3%

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

   3. Taylor expanded in y around inf 34.6%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 50.9%

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

      1. associate-*r* 50.9%

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

   7. Simplified 50.9%

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

   if -5.49999999999999999e149 < y < -1.4000000000000001e40

   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 j around inf 45.1%

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

   4. Taylor expanded in b around inf 37.7%

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

   5. Taylor expanded in t around inf 30.5%

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

      1. *-commutative 30.5%

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

   7. Simplified 30.5%

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

   if -1.4000000000000001e40 < y < -7.2e-46

   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 j around inf 47.8%

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

   4. Taylor expanded in y3 around inf 33.8%

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

      1. neg-mul-1 33.8%

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

      2. distribute-rgt-neg-in 33.8%

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

   6. Simplified 33.8%

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

   7. Taylor expanded in y1 around 0 38.8%

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

   if -7.2e-46 < y < 3.60000000000000004e-285

   1. Initial program 38.8%

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

   3. Taylor expanded in y3 around -inf 54.5%

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

   4. Taylor expanded in y0 around inf 41.2%

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

   5. Taylor expanded in j around 0 22.5%

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

   if 3.60000000000000004e-285 < y < 4.5999999999999998e-25

   1. Initial program 21.3%

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

   3. Taylor expanded in j around inf 47.0%

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

   4. Taylor expanded in y3 around inf 28.1%

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

      1. neg-mul-1 28.1%

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

      2. distribute-rgt-neg-in 28.1%

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

   6. Simplified 28.1%

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

   7. Taylor expanded in y1 around inf 26.1%

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

   if 4.5999999999999998e-25 < y

   1. Initial program 33.9%

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

   3. Taylor expanded in y around inf 42.9%

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

   4. Taylor expanded in x around inf 47.7%

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

   5. Taylor expanded in a around inf 42.0%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 33.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -5.5 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-285}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(z \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 21.1% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -2 \cdot 10^{+150}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{-178}:\\ \;\;\;\;b \cdot \left(\left(-j\right) \cdot \left(x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -2e+150)
   (* x (* y (* a b)))
   (if (<= y -4.1e+39)
     (* b (* j (* t y4)))
     (if (<= y -7.2e-46)
       (* j (* y0 (* y3 y5)))
       (if (<= y 1.4e-178)
         (* b (* (- j) (* x y0)))
         (if (<= y 5.5e-25)
           (* j (* (* y1 y4) (- y3)))
           (* x (* a (* y b)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -2e+150) {
		tmp = x * (y * (a * b));
	} else if (y <= -4.1e+39) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.2e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 1.4e-178) {
		tmp = b * (-j * (x * y0));
	} else if (y <= 5.5e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-2d+150)) then
        tmp = x * (y * (a * b))
    else if (y <= (-4.1d+39)) then
        tmp = b * (j * (t * y4))
    else if (y <= (-7.2d-46)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 1.4d-178) then
        tmp = b * (-j * (x * y0))
    else if (y <= 5.5d-25) then
        tmp = j * ((y1 * y4) * -y3)
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -2e+150) {
		tmp = x * (y * (a * b));
	} else if (y <= -4.1e+39) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.2e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 1.4e-178) {
		tmp = b * (-j * (x * y0));
	} else if (y <= 5.5e-25) {
		tmp = j * ((y1 * y4) * -y3);
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -2e+150:
		tmp = x * (y * (a * b))
	elif y <= -4.1e+39:
		tmp = b * (j * (t * y4))
	elif y <= -7.2e-46:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 1.4e-178:
		tmp = b * (-j * (x * y0))
	elif y <= 5.5e-25:
		tmp = j * ((y1 * y4) * -y3)
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -2e+150)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y <= -4.1e+39)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y <= -7.2e-46)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 1.4e-178)
		tmp = Float64(b * Float64(Float64(-j) * Float64(x * y0)));
	elseif (y <= 5.5e-25)
		tmp = Float64(j * Float64(Float64(y1 * y4) * Float64(-y3)));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -2e+150)
		tmp = x * (y * (a * b));
	elseif (y <= -4.1e+39)
		tmp = b * (j * (t * y4));
	elseif (y <= -7.2e-46)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 1.4e-178)
		tmp = b * (-j * (x * y0));
	elseif (y <= 5.5e-25)
		tmp = j * ((y1 * y4) * -y3);
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -2e+150], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -4.1e+39], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.2e-46], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.4e-178], N[(b * N[((-j) * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.5e-25], N[(j * N[(N[(y1 * y4), $MachinePrecision] * (-y3)), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -1.99999999999999996e150

   1. Initial program 42.3%

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

   3. Taylor expanded in y around inf 34.6%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 50.9%

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

      1. associate-*r* 50.9%

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

   7. Simplified 50.9%

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

   if -1.99999999999999996e150 < y < -4.10000000000000004e39

   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 j around inf 45.1%

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

   4. Taylor expanded in b around inf 37.7%

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

   5. Taylor expanded in t around inf 30.5%

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

      1. *-commutative 30.5%

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

   7. Simplified 30.5%

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

   if -4.10000000000000004e39 < y < -7.2e-46

   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 j around inf 47.8%

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

   4. Taylor expanded in y3 around inf 33.8%

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

      1. neg-mul-1 33.8%

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

      2. distribute-rgt-neg-in 33.8%

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

   6. Simplified 33.8%

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

   7. Taylor expanded in y1 around 0 38.8%

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

   if -7.2e-46 < y < 1.4000000000000001e-178

   1. Initial program 35.1%

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

   3. Taylor expanded in j around inf 42.1%

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

   4. Taylor expanded in b around inf 25.3%

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

   5. Taylor expanded in t around 0 23.1%

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

      1. associate-*r* 23.1%

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

      2. mul-1-neg 23.1%

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

      3. *-commutative 23.1%

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

   7. Simplified 23.1%

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

   if 1.4000000000000001e-178 < y < 5.50000000000000004e-25

   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 j around inf 36.6%

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

   4. Taylor expanded in y3 around inf 26.8%

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

      1. neg-mul-1 26.8%

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

      2. distribute-rgt-neg-in 26.8%

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

   6. Simplified 26.8%

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

   7. Taylor expanded in y1 around inf 26.8%

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

   if 5.50000000000000004e-25 < y

   1. Initial program 33.9%

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

   3. Taylor expanded in y around inf 42.9%

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

   4. Taylor expanded in x around inf 47.7%

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

   5. Taylor expanded in a around inf 42.0%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 33.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2 \cdot 10^{+150}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{+39}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{-178}:\\ \;\;\;\;b \cdot \left(\left(-j\right) \cdot \left(x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-25}:\\ \;\;\;\;j \cdot \left(\left(y1 \cdot y4\right) \cdot \left(-y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 21.4% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{if}\;y \leq -6.2 \cdot 10^{+149}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{+75}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq -2.15 \cdot 10^{+19}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{-212}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-14}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (* a b)))) (t_2 (* b (* j (* t y4)))))
   (if (<= y -6.2e+149)
     t_1
     (if (<= y -1.05e+75)
       t_2
       (if (<= y -2.15e+19)
         t_1
         (if (<= y 5.2e-212)
           (* j (* y0 (* y3 y5)))
           (if (<= y 2.6e-14) t_2 (* x (* a (* y b))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * b));
	double t_2 = b * (j * (t * y4));
	double tmp;
	if (y <= -6.2e+149) {
		tmp = t_1;
	} else if (y <= -1.05e+75) {
		tmp = t_2;
	} else if (y <= -2.15e+19) {
		tmp = t_1;
	} else if (y <= 5.2e-212) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 2.6e-14) {
		tmp = t_2;
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (y * (a * b))
    t_2 = b * (j * (t * y4))
    if (y <= (-6.2d+149)) then
        tmp = t_1
    else if (y <= (-1.05d+75)) then
        tmp = t_2
    else if (y <= (-2.15d+19)) then
        tmp = t_1
    else if (y <= 5.2d-212) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 2.6d-14) then
        tmp = t_2
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y * (a * b));
	double t_2 = b * (j * (t * y4));
	double tmp;
	if (y <= -6.2e+149) {
		tmp = t_1;
	} else if (y <= -1.05e+75) {
		tmp = t_2;
	} else if (y <= -2.15e+19) {
		tmp = t_1;
	} else if (y <= 5.2e-212) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 2.6e-14) {
		tmp = t_2;
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y * (a * b))
	t_2 = b * (j * (t * y4))
	tmp = 0
	if y <= -6.2e+149:
		tmp = t_1
	elif y <= -1.05e+75:
		tmp = t_2
	elif y <= -2.15e+19:
		tmp = t_1
	elif y <= 5.2e-212:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 2.6e-14:
		tmp = t_2
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(y * Float64(a * b)))
	t_2 = Float64(b * Float64(j * Float64(t * y4)))
	tmp = 0.0
	if (y <= -6.2e+149)
		tmp = t_1;
	elseif (y <= -1.05e+75)
		tmp = t_2;
	elseif (y <= -2.15e+19)
		tmp = t_1;
	elseif (y <= 5.2e-212)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 2.6e-14)
		tmp = t_2;
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (y * (a * b));
	t_2 = b * (j * (t * y4));
	tmp = 0.0;
	if (y <= -6.2e+149)
		tmp = t_1;
	elseif (y <= -1.05e+75)
		tmp = t_2;
	elseif (y <= -2.15e+19)
		tmp = t_1;
	elseif (y <= 5.2e-212)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 2.6e-14)
		tmp = t_2;
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -6.2e+149], t$95$1, If[LessEqual[y, -1.05e+75], t$95$2, If[LessEqual[y, -2.15e+19], t$95$1, If[LessEqual[y, 5.2e-212], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.6e-14], t$95$2, N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y < -6.19999999999999974e149 or -1.04999999999999999e75 < y < -2.15e19

   1. Initial program 30.9%

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

   3. Taylor expanded in y around inf 28.3%

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

   4. Taylor expanded in x around inf 46.9%

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

   5. Taylor expanded in a around inf 47.0%

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

      1. associate-*r* 47.1%

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

   7. Simplified 47.1%

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

   if -6.19999999999999974e149 < y < -1.04999999999999999e75 or 5.2e-212 < y < 2.59999999999999997e-14

   1. Initial program 22.0%

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

   3. Taylor expanded in j around inf 43.2%

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

   4. Taylor expanded in b around inf 33.3%

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

   5. Taylor expanded in t around inf 25.1%

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

      1. *-commutative 25.1%

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

   7. Simplified 25.1%

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

   if -2.15e19 < y < 5.2e-212

   1. Initial program 33.1%

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

   3. Taylor expanded in j around inf 41.7%

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

   4. Taylor expanded in y3 around inf 29.1%

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

      1. neg-mul-1 29.1%

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

      2. distribute-rgt-neg-in 29.1%

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

   6. Simplified 29.1%

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

   7. Taylor expanded in y1 around 0 21.7%

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

   if 2.59999999999999997e-14 < y

   1. Initial program 32.9%

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

   3. Taylor expanded in y around inf 42.0%

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

   4. Taylor expanded in x around inf 48.4%

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

   5. Taylor expanded in a around inf 42.6%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 31.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -6.2 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{+75}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -2.15 \cdot 10^{+19}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{-212}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-14}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 21.8% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{if}\;y \leq -5.5 \cdot 10^{+149}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -2.9 \cdot 10^{+35}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq -8.7 \cdot 10^{+18}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-210}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-15}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* a (* y b)))) (t_2 (* b (* j (* t y4)))))
   (if (<= y -5.5e+149)
     t_1
     (if (<= y -2.9e+35)
       t_2
       (if (<= y -8.7e+18)
         t_1
         (if (<= y 2.8e-210)
           (* j (* y0 (* y3 y5)))
           (if (<= y 4.2e-15) t_2 t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (a * (y * b));
	double t_2 = b * (j * (t * y4));
	double tmp;
	if (y <= -5.5e+149) {
		tmp = t_1;
	} else if (y <= -2.9e+35) {
		tmp = t_2;
	} else if (y <= -8.7e+18) {
		tmp = t_1;
	} else if (y <= 2.8e-210) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 4.2e-15) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (a * (y * b))
    t_2 = b * (j * (t * y4))
    if (y <= (-5.5d+149)) then
        tmp = t_1
    else if (y <= (-2.9d+35)) then
        tmp = t_2
    else if (y <= (-8.7d+18)) then
        tmp = t_1
    else if (y <= 2.8d-210) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 4.2d-15) then
        tmp = t_2
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (a * (y * b));
	double t_2 = b * (j * (t * y4));
	double tmp;
	if (y <= -5.5e+149) {
		tmp = t_1;
	} else if (y <= -2.9e+35) {
		tmp = t_2;
	} else if (y <= -8.7e+18) {
		tmp = t_1;
	} else if (y <= 2.8e-210) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 4.2e-15) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (a * (y * b))
	t_2 = b * (j * (t * y4))
	tmp = 0
	if y <= -5.5e+149:
		tmp = t_1
	elif y <= -2.9e+35:
		tmp = t_2
	elif y <= -8.7e+18:
		tmp = t_1
	elif y <= 2.8e-210:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 4.2e-15:
		tmp = t_2
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(a * Float64(y * b)))
	t_2 = Float64(b * Float64(j * Float64(t * y4)))
	tmp = 0.0
	if (y <= -5.5e+149)
		tmp = t_1;
	elseif (y <= -2.9e+35)
		tmp = t_2;
	elseif (y <= -8.7e+18)
		tmp = t_1;
	elseif (y <= 2.8e-210)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 4.2e-15)
		tmp = t_2;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (a * (y * b));
	t_2 = b * (j * (t * y4));
	tmp = 0.0;
	if (y <= -5.5e+149)
		tmp = t_1;
	elseif (y <= -2.9e+35)
		tmp = t_2;
	elseif (y <= -8.7e+18)
		tmp = t_1;
	elseif (y <= 2.8e-210)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 4.2e-15)
		tmp = t_2;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -5.5e+149], t$95$1, If[LessEqual[y, -2.9e+35], t$95$2, If[LessEqual[y, -8.7e+18], t$95$1, If[LessEqual[y, 2.8e-210], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.2e-15], t$95$2, t$95$1]]]]]]]

Derivation

1. Split input into 3 regimes

2. if y < -5.49999999999999999e149 or -2.89999999999999995e35 < y < -8.7e18 or 4.19999999999999962e-15 < y

   1. Initial program 34.8%

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

   3. Taylor expanded in y around inf 40.0%

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

   4. Taylor expanded in x around inf 49.7%

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

   5. Taylor expanded in a around inf 45.8%

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

   if -5.49999999999999999e149 < y < -2.89999999999999995e35 or 2.8e-210 < y < 4.19999999999999962e-15

   1. Initial program 19.5%

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

   3. Taylor expanded in j around inf 44.1%

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

   4. Taylor expanded in b around inf 32.4%

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

   5. Taylor expanded in t around inf 25.2%

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

      1. *-commutative 25.2%

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

   7. Simplified 25.2%

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

   if -8.7e18 < y < 2.8e-210

   1. Initial program 33.1%

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

   3. Taylor expanded in j around inf 41.7%

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

   4. Taylor expanded in y3 around inf 29.1%

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

      1. neg-mul-1 29.1%

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

      2. distribute-rgt-neg-in 29.1%

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

   6. Simplified 29.1%

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

   7. Taylor expanded in y1 around 0 21.7%

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

4. Final simplification 31.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -5.5 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -2.9 \cdot 10^{+35}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -8.7 \cdot 10^{+18}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-210}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-15}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 32.2% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y2 \leq -8.5 \cdot 10^{+50}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -3.3 \cdot 10^{-163}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{-301}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 1.22 \cdot 10^{+82}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y2 -8.5e+50)
     t_2
     (if (<= y2 -3.3e-163)
       t_1
       (if (<= y2 1.45e-301)
         (* i (* k (- (* y y5) (* z y1))))
         (if (<= y2 1.22e+82) t_1 t_2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -8.5e+50) {
		tmp = t_2;
	} else if (y2 <= -3.3e-163) {
		tmp = t_1;
	} else if (y2 <= 1.45e-301) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 1.22e+82) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y2 <= (-8.5d+50)) then
        tmp = t_2
    else if (y2 <= (-3.3d-163)) then
        tmp = t_1
    else if (y2 <= 1.45d-301) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y2 <= 1.22d+82) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y2 <= -8.5e+50) {
		tmp = t_2;
	} else if (y2 <= -3.3e-163) {
		tmp = t_1;
	} else if (y2 <= 1.45e-301) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y2 <= 1.22e+82) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y2 <= -8.5e+50:
		tmp = t_2
	elif y2 <= -3.3e-163:
		tmp = t_1
	elif y2 <= 1.45e-301:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y2 <= 1.22e+82:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y2 <= -8.5e+50)
		tmp = t_2;
	elseif (y2 <= -3.3e-163)
		tmp = t_1;
	elseif (y2 <= 1.45e-301)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y2 <= 1.22e+82)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y2 <= -8.5e+50)
		tmp = t_2;
	elseif (y2 <= -3.3e-163)
		tmp = t_1;
	elseif (y2 <= 1.45e-301)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y2 <= 1.22e+82)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -8.5e+50], t$95$2, If[LessEqual[y2, -3.3e-163], t$95$1, If[LessEqual[y2, 1.45e-301], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.22e+82], t$95$1, t$95$2]]]]]]

Derivation

1. Split input into 3 regimes

2. if y2 < -8.49999999999999961e50 or 1.22000000000000008e82 < y2

   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 y2 around inf 55.2%

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

   4. Taylor expanded in k around inf 49.0%

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

   if -8.49999999999999961e50 < y2 < -3.30000000000000001e-163 or 1.44999999999999992e-301 < y2 < 1.22000000000000008e82

   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 40.0%

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

   4. Taylor expanded in x around inf 42.9%

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

   if -3.30000000000000001e-163 < y2 < 1.44999999999999992e-301

   1. Initial program 38.6%

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

   3. Taylor expanded in k around inf 46.1%

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

   4. Taylor expanded in i around inf 40.0%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 44.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -8.5 \cdot 10^{+50}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.3 \cdot 10^{-163}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{-301}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 1.22 \cdot 10^{+82}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 31.9% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{if}\;k \leq -3 \cdot 10^{+38}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{-161}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -1.25 \cdot 10^{-267}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 4 \cdot 10^{+73}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* i (* k (- (* y y5) (* z y1))))))
   (if (<= k -3e+38)
     t_2
     (if (<= k -7.5e-161)
       t_1
       (if (<= k -1.25e-267)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= k 4e+73) t_1 t_2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -3e+38) {
		tmp = t_2;
	} else if (k <= -7.5e-161) {
		tmp = t_1;
	} else if (k <= -1.25e-267) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 4e+73) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = i * (k * ((y * y5) - (z * y1)))
    if (k <= (-3d+38)) then
        tmp = t_2
    else if (k <= (-7.5d-161)) then
        tmp = t_1
    else if (k <= (-1.25d-267)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 4d+73) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (k <= -3e+38) {
		tmp = t_2;
	} else if (k <= -7.5e-161) {
		tmp = t_1;
	} else if (k <= -1.25e-267) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 4e+73) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = i * (k * ((y * y5) - (z * y1)))
	tmp = 0
	if k <= -3e+38:
		tmp = t_2
	elif k <= -7.5e-161:
		tmp = t_1
	elif k <= -1.25e-267:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 4e+73:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	tmp = 0.0
	if (k <= -3e+38)
		tmp = t_2;
	elseif (k <= -7.5e-161)
		tmp = t_1;
	elseif (k <= -1.25e-267)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 4e+73)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = i * (k * ((y * y5) - (z * y1)));
	tmp = 0.0;
	if (k <= -3e+38)
		tmp = t_2;
	elseif (k <= -7.5e-161)
		tmp = t_1;
	elseif (k <= -1.25e-267)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 4e+73)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3e+38], t$95$2, If[LessEqual[k, -7.5e-161], t$95$1, If[LessEqual[k, -1.25e-267], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4e+73], t$95$1, t$95$2]]]]]]

Derivation

1. Split input into 3 regimes

2. if k < -3.0000000000000001e38 or 3.99999999999999993e73 < k

   1. Initial program 22.9%

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

   3. Taylor expanded in k around inf 47.4%

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

   4. Taylor expanded in i around inf 46.0%

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

   if -3.0000000000000001e38 < k < -7.49999999999999991e-161 or -1.25e-267 < k < 3.99999999999999993e73

   1. Initial program 33.1%

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

   3. Taylor expanded in j around inf 44.6%

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

   4. Taylor expanded in x around inf 38.7%

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

   if -7.49999999999999991e-161 < k < -1.25e-267

   1. Initial program 48.1%

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

   3. Taylor expanded in j around inf 58.1%

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

   4. Taylor expanded in t around inf 35.1%

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

4. Final simplification 41.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3 \cdot 10^{+38}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{-161}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -1.25 \cdot 10^{-267}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 4 \cdot 10^{+73}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 20.4% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -5.6 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -7.7 \cdot 10^{+37}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(\left(-j\right) \cdot \left(x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -5.6e+149)
   (* x (* y (* a b)))
   (if (<= y -7.7e+37)
     (* b (* j (* t y4)))
     (if (<= y -7.5e-46)
       (* j (* y0 (* y3 y5)))
       (if (<= y 2.3e-124) (* b (* (- j) (* x y0))) (* x (* a (* y b))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -5.6e+149) {
		tmp = x * (y * (a * b));
	} else if (y <= -7.7e+37) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.5e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 2.3e-124) {
		tmp = b * (-j * (x * y0));
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-5.6d+149)) then
        tmp = x * (y * (a * b))
    else if (y <= (-7.7d+37)) then
        tmp = b * (j * (t * y4))
    else if (y <= (-7.5d-46)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 2.3d-124) then
        tmp = b * (-j * (x * y0))
    else
        tmp = x * (a * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -5.6e+149) {
		tmp = x * (y * (a * b));
	} else if (y <= -7.7e+37) {
		tmp = b * (j * (t * y4));
	} else if (y <= -7.5e-46) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 2.3e-124) {
		tmp = b * (-j * (x * y0));
	} else {
		tmp = x * (a * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -5.6e+149:
		tmp = x * (y * (a * b))
	elif y <= -7.7e+37:
		tmp = b * (j * (t * y4))
	elif y <= -7.5e-46:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 2.3e-124:
		tmp = b * (-j * (x * y0))
	else:
		tmp = x * (a * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -5.6e+149)
		tmp = Float64(x * Float64(y * Float64(a * b)));
	elseif (y <= -7.7e+37)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y <= -7.5e-46)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 2.3e-124)
		tmp = Float64(b * Float64(Float64(-j) * Float64(x * y0)));
	else
		tmp = Float64(x * Float64(a * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -5.6e+149)
		tmp = x * (y * (a * b));
	elseif (y <= -7.7e+37)
		tmp = b * (j * (t * y4));
	elseif (y <= -7.5e-46)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 2.3e-124)
		tmp = b * (-j * (x * y0));
	else
		tmp = x * (a * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -5.6e+149], N[(x * N[(y * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.7e+37], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.5e-46], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.3e-124], N[(b * N[((-j) * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -5.5999999999999998e149

   1. Initial program 42.3%

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

   3. Taylor expanded in y around inf 34.6%

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

   4. Taylor expanded in x around inf 50.6%

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

   5. Taylor expanded in a around inf 50.9%

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

      1. associate-*r* 50.9%

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

   7. Simplified 50.9%

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

   if -5.5999999999999998e149 < y < -7.70000000000000022e37

   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 j around inf 45.1%

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

   4. Taylor expanded in b around inf 37.7%

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

   5. Taylor expanded in t around inf 30.5%

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

      1. *-commutative 30.5%

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

   7. Simplified 30.5%

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

   if -7.70000000000000022e37 < y < -7.50000000000000027e-46

   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 j around inf 47.8%

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

   4. Taylor expanded in y3 around inf 33.8%

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

      1. neg-mul-1 33.8%

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

      2. distribute-rgt-neg-in 33.8%

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

   6. Simplified 33.8%

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

   7. Taylor expanded in y1 around 0 38.8%

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

   if -7.50000000000000027e-46 < y < 2.30000000000000012e-124

   1. Initial program 31.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. 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 b around inf 25.0%

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

   5. Taylor expanded in t around 0 21.1%

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

      1. associate-*r* 21.1%

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

      2. mul-1-neg 21.1%

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

      3. *-commutative 21.1%

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

   7. Simplified 21.1%

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

   if 2.30000000000000012e-124 < y

   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 y around inf 39.2%

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

   4. Taylor expanded in x around inf 40.8%

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

   5. Taylor expanded in a around inf 35.3%

      \[\leadsto x \cdot \color{blue}{\left(a \cdot \left(b \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -5.6 \cdot 10^{+149}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq -7.7 \cdot 10^{+37}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(\left(-j\right) \cdot \left(x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 22.6% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;y \leq -9.5 \cdot 10^{+23}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-214}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= y -9.5e+23)
     t_1
     (if (<= y 6e-214)
       (* j (* y0 (* y3 y5)))
       (if (<= y 1.2e-17) (* b (* j (* t y4))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (y <= -9.5e+23) {
		tmp = t_1;
	} else if (y <= 6e-214) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 1.2e-17) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (y <= (-9.5d+23)) then
        tmp = t_1
    else if (y <= 6d-214) then
        tmp = j * (y0 * (y3 * y5))
    else if (y <= 1.2d-17) then
        tmp = b * (j * (t * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (y <= -9.5e+23) {
		tmp = t_1;
	} else if (y <= 6e-214) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y <= 1.2e-17) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if y <= -9.5e+23:
		tmp = t_1
	elif y <= 6e-214:
		tmp = j * (y0 * (y3 * y5))
	elif y <= 1.2e-17:
		tmp = b * (j * (t * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (y <= -9.5e+23)
		tmp = t_1;
	elseif (y <= 6e-214)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y <= 1.2e-17)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (y <= -9.5e+23)
		tmp = t_1;
	elseif (y <= 6e-214)
		tmp = j * (y0 * (y3 * y5));
	elseif (y <= 1.2e-17)
		tmp = b * (j * (t * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -9.5e+23], t$95$1, If[LessEqual[y, 6e-214], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.2e-17], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y < -9.50000000000000038e23 or 1.19999999999999993e-17 < y

   1. Initial program 31.0%

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

   3. Taylor expanded in y around inf 38.4%

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

   4. Taylor expanded in x around inf 44.7%

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

   5. Taylor expanded in a around inf 36.2%

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

      1. *-commutative 36.2%

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

   7. Simplified 36.2%

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

   if -9.50000000000000038e23 < y < 5.99999999999999989e-214

   1. Initial program 33.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. 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 y3 around inf 29.3%

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

      1. neg-mul-1 29.3%

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

      2. distribute-rgt-neg-in 29.3%

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

   6. Simplified 29.3%

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

   7. Taylor expanded in y1 around 0 22.1%

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

   if 5.99999999999999989e-214 < y < 1.19999999999999993e-17

   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 j around inf 41.9%

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

   4. Taylor expanded in b around inf 29.5%

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

   5. Taylor expanded in t around inf 22.0%

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

      1. *-commutative 22.0%

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

   7. Simplified 22.0%

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

4. Final simplification 28.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -9.5 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-214}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 21.6% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -3.9 \cdot 10^{-120}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{+95}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -3.9e-120)
   (* a (* y (* x b)))
   (if (<= x 3.1e+95) (* b (* j (* t y4))) (* 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 (x <= -3.9e-120) {
		tmp = a * (y * (x * b));
	} else if (x <= 3.1e+95) {
		tmp = b * (j * (t * y4));
	} 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 (x <= (-3.9d-120)) then
        tmp = a * (y * (x * b))
    else if (x <= 3.1d+95) then
        tmp = b * (j * (t * y4))
    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 (x <= -3.9e-120) {
		tmp = a * (y * (x * b));
	} else if (x <= 3.1e+95) {
		tmp = b * (j * (t * y4));
	} 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 x <= -3.9e-120:
		tmp = a * (y * (x * b))
	elif x <= 3.1e+95:
		tmp = b * (j * (t * y4))
	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 (x <= -3.9e-120)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	elseif (x <= 3.1e+95)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	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 (x <= -3.9e-120)
		tmp = a * (y * (x * b));
	elseif (x <= 3.1e+95)
		tmp = b * (j * (t * y4));
	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[LessEqual[x, -3.9e-120], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.1e+95], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if x < -3.9000000000000002e-120

   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 y around inf 30.3%

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

   4. Taylor expanded in x around inf 27.8%

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

   5. Taylor expanded in a around inf 21.6%

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

      1. associate-*r* 22.7%

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

   7. Simplified 22.7%

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

   if -3.9000000000000002e-120 < x < 3.1000000000000003e95

   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 j around inf 36.3%

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

   4. Taylor expanded in b around inf 23.1%

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

   5. Taylor expanded in t around inf 21.3%

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

      1. *-commutative 21.3%

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

   7. Simplified 21.3%

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

   if 3.1000000000000003e95 < x

   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 y around inf 26.3%

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

   4. Taylor expanded in x around inf 46.6%

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

   5. Taylor expanded in a around inf 48.8%

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

      1. *-commutative 48.8%

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

   7. Simplified 48.8%

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

4. Final simplification 26.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.9 \cdot 10^{-120}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{+95}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 16.9% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(y \cdot \left(x \cdot b\right)\right) \end{array} \]

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 30.2%

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

3. Taylor expanded in y around inf 34.1%

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

4. Taylor expanded in x around inf 28.2%

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

5. Taylor expanded in a around inf 20.8%

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

   1. associate-*r* 21.2%

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

7. Simplified 21.2%

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

8. Final simplification 21.2%

   \[\leadsto a \cdot \left(y \cdot \left(x \cdot b\right)\right) \]
9. Add Preprocessing

Alternative 39: 17.2% 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 30.2%

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

3. Taylor expanded in y around inf 34.1%

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

4. Taylor expanded in x around inf 28.2%

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

5. Taylor expanded in a around inf 20.8%

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

   1. *-commutative 20.8%

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

7. Simplified 20.8%

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

8. Final simplification 20.8%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
9. Add Preprocessing

Developer target: 27.4% 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 2024091 
(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)))))