Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 31.1% → 40.0%

Time: 1.9min

Alternatives: 39

Speedup: 3.5×

• 87.8% 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: 31.1% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 40.0% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := b \cdot t_1\\ t_3 := i \cdot y5 - b \cdot y4\\ t_4 := t \cdot y2 - y \cdot y3\\ t_5 := x \cdot \left(a \cdot b - c \cdot i\right)\\ t_6 := y \cdot \left(\left(k \cdot t_3 + t_5\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_7 := j \cdot y3 - k \cdot y2\\ t_8 := y0 \cdot \left(\left(y5 \cdot t_7 + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_9 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;a \leq -1.7 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + t_2\right) + y5 \cdot t_4\right)\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{-28}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{-119}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -1.42 \cdot 10^{-124}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-201}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot t_1 + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-304}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 1.32 \cdot 10^{-179}:\\ \;\;\;\;k \cdot \left(\left(y \cdot t_3 + y2 \cdot t_9\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{-130}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 4.6 \cdot 10^{+38}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_4 + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot t_7\right)\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{+116}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_9 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 3.35 \cdot 10^{+190}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 3.35 \cdot 10^{+249}:\\ \;\;\;\;a \cdot t_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot t_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (* b t_1))
        (t_3 (- (* i y5) (* b y4)))
        (t_4 (- (* t y2) (* y y3)))
        (t_5 (* x (- (* a b) (* c i))))
        (t_6 (* y (+ (+ (* k t_3) t_5) (* y3 (- (* c y4) (* a y5))))))
        (t_7 (- (* j y3) (* k y2)))
        (t_8
         (*
          y0
          (+
           (+ (* y5 t_7) (* c (- (* x y2) (* z y3))))
           (* b (- (* z k) (* x j))))))
        (t_9 (- (* y1 y4) (* y0 y5))))
   (if (<= a -1.7e+72)
     (* a (+ (+ (* y1 (- (* z y3) (* x y2))) t_2) (* y5 t_4)))
     (if (<= a -9.5e-28)
       t_8
       (if (<= a -6.5e-119)
         t_6
         (if (<= a -1.42e-124)
           (* j (* y0 (- (* y3 y5) (* x b))))
           (if (<= a -1.05e-201)
             (*
              i
              (-
               (* y1 (- (* x j) (* z k)))
               (+ (* c t_1) (* y5 (- (* t j) (* y k))))))
             (if (<= a -3.5e-304)
               t_8
               (if (<= a 1.32e-179)
                 (* k (+ (+ (* y t_3) (* y2 t_9)) (* z (- (* b y0) (* i y1)))))
                 (if (<= a 1.25e-130)
                   t_6
                   (if (<= a 4.6e+38)
                     (*
                      y5
                      (+ (* a t_4) (+ (* i (- (* y k) (* t j))) (* y0 t_7))))
                     (if (<= a 2.2e+116)
                       (* y2 (+ (* k t_9) (* t (- (* a y5) (* c y4)))))
                       (if (<= a 3.35e+190)
                         t_8
                         (if (<= a 3.35e+249) (* a t_2) (* y 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 = (x * y) - (z * t);
	double t_2 = b * t_1;
	double t_3 = (i * y5) - (b * y4);
	double t_4 = (t * y2) - (y * y3);
	double t_5 = x * ((a * b) - (c * i));
	double t_6 = y * (((k * t_3) + t_5) + (y3 * ((c * y4) - (a * y5))));
	double t_7 = (j * y3) - (k * y2);
	double t_8 = y0 * (((y5 * t_7) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double t_9 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (a <= -1.7e+72) {
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + t_2) + (y5 * t_4));
	} else if (a <= -9.5e-28) {
		tmp = t_8;
	} else if (a <= -6.5e-119) {
		tmp = t_6;
	} else if (a <= -1.42e-124) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (a <= -1.05e-201) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= -3.5e-304) {
		tmp = t_8;
	} else if (a <= 1.32e-179) {
		tmp = k * (((y * t_3) + (y2 * t_9)) + (z * ((b * y0) - (i * y1))));
	} else if (a <= 1.25e-130) {
		tmp = t_6;
	} else if (a <= 4.6e+38) {
		tmp = y5 * ((a * t_4) + ((i * ((y * k) - (t * j))) + (y0 * t_7)));
	} else if (a <= 2.2e+116) {
		tmp = y2 * ((k * t_9) + (t * ((a * y5) - (c * y4))));
	} else if (a <= 3.35e+190) {
		tmp = t_8;
	} else if (a <= 3.35e+249) {
		tmp = a * t_2;
	} else {
		tmp = y * 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) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = b * t_1
    t_3 = (i * y5) - (b * y4)
    t_4 = (t * y2) - (y * y3)
    t_5 = x * ((a * b) - (c * i))
    t_6 = y * (((k * t_3) + t_5) + (y3 * ((c * y4) - (a * y5))))
    t_7 = (j * y3) - (k * y2)
    t_8 = y0 * (((y5 * t_7) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    t_9 = (y1 * y4) - (y0 * y5)
    if (a <= (-1.7d+72)) then
        tmp = a * (((y1 * ((z * y3) - (x * y2))) + t_2) + (y5 * t_4))
    else if (a <= (-9.5d-28)) then
        tmp = t_8
    else if (a <= (-6.5d-119)) then
        tmp = t_6
    else if (a <= (-1.42d-124)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (a <= (-1.05d-201)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))))
    else if (a <= (-3.5d-304)) then
        tmp = t_8
    else if (a <= 1.32d-179) then
        tmp = k * (((y * t_3) + (y2 * t_9)) + (z * ((b * y0) - (i * y1))))
    else if (a <= 1.25d-130) then
        tmp = t_6
    else if (a <= 4.6d+38) then
        tmp = y5 * ((a * t_4) + ((i * ((y * k) - (t * j))) + (y0 * t_7)))
    else if (a <= 2.2d+116) then
        tmp = y2 * ((k * t_9) + (t * ((a * y5) - (c * y4))))
    else if (a <= 3.35d+190) then
        tmp = t_8
    else if (a <= 3.35d+249) then
        tmp = a * t_2
    else
        tmp = y * 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 = (x * y) - (z * t);
	double t_2 = b * t_1;
	double t_3 = (i * y5) - (b * y4);
	double t_4 = (t * y2) - (y * y3);
	double t_5 = x * ((a * b) - (c * i));
	double t_6 = y * (((k * t_3) + t_5) + (y3 * ((c * y4) - (a * y5))));
	double t_7 = (j * y3) - (k * y2);
	double t_8 = y0 * (((y5 * t_7) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double t_9 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (a <= -1.7e+72) {
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + t_2) + (y5 * t_4));
	} else if (a <= -9.5e-28) {
		tmp = t_8;
	} else if (a <= -6.5e-119) {
		tmp = t_6;
	} else if (a <= -1.42e-124) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (a <= -1.05e-201) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= -3.5e-304) {
		tmp = t_8;
	} else if (a <= 1.32e-179) {
		tmp = k * (((y * t_3) + (y2 * t_9)) + (z * ((b * y0) - (i * y1))));
	} else if (a <= 1.25e-130) {
		tmp = t_6;
	} else if (a <= 4.6e+38) {
		tmp = y5 * ((a * t_4) + ((i * ((y * k) - (t * j))) + (y0 * t_7)));
	} else if (a <= 2.2e+116) {
		tmp = y2 * ((k * t_9) + (t * ((a * y5) - (c * y4))));
	} else if (a <= 3.35e+190) {
		tmp = t_8;
	} else if (a <= 3.35e+249) {
		tmp = a * t_2;
	} else {
		tmp = y * 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 = (x * y) - (z * t)
	t_2 = b * t_1
	t_3 = (i * y5) - (b * y4)
	t_4 = (t * y2) - (y * y3)
	t_5 = x * ((a * b) - (c * i))
	t_6 = y * (((k * t_3) + t_5) + (y3 * ((c * y4) - (a * y5))))
	t_7 = (j * y3) - (k * y2)
	t_8 = y0 * (((y5 * t_7) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	t_9 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if a <= -1.7e+72:
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + t_2) + (y5 * t_4))
	elif a <= -9.5e-28:
		tmp = t_8
	elif a <= -6.5e-119:
		tmp = t_6
	elif a <= -1.42e-124:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif a <= -1.05e-201:
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))))
	elif a <= -3.5e-304:
		tmp = t_8
	elif a <= 1.32e-179:
		tmp = k * (((y * t_3) + (y2 * t_9)) + (z * ((b * y0) - (i * y1))))
	elif a <= 1.25e-130:
		tmp = t_6
	elif a <= 4.6e+38:
		tmp = y5 * ((a * t_4) + ((i * ((y * k) - (t * j))) + (y0 * t_7)))
	elif a <= 2.2e+116:
		tmp = y2 * ((k * t_9) + (t * ((a * y5) - (c * y4))))
	elif a <= 3.35e+190:
		tmp = t_8
	elif a <= 3.35e+249:
		tmp = a * t_2
	else:
		tmp = y * 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(x * y) - Float64(z * t))
	t_2 = Float64(b * t_1)
	t_3 = Float64(Float64(i * y5) - Float64(b * y4))
	t_4 = Float64(Float64(t * y2) - Float64(y * y3))
	t_5 = Float64(x * Float64(Float64(a * b) - Float64(c * i)))
	t_6 = Float64(y * Float64(Float64(Float64(k * t_3) + t_5) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))))
	t_7 = Float64(Float64(j * y3) - Float64(k * y2))
	t_8 = Float64(y0 * Float64(Float64(Float64(y5 * t_7) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	t_9 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (a <= -1.7e+72)
		tmp = Float64(a * Float64(Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + t_2) + Float64(y5 * t_4)));
	elseif (a <= -9.5e-28)
		tmp = t_8;
	elseif (a <= -6.5e-119)
		tmp = t_6;
	elseif (a <= -1.42e-124)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (a <= -1.05e-201)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * t_1) + Float64(y5 * Float64(Float64(t * j) - Float64(y * k))))));
	elseif (a <= -3.5e-304)
		tmp = t_8;
	elseif (a <= 1.32e-179)
		tmp = Float64(k * Float64(Float64(Float64(y * t_3) + Float64(y2 * t_9)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (a <= 1.25e-130)
		tmp = t_6;
	elseif (a <= 4.6e+38)
		tmp = Float64(y5 * Float64(Float64(a * t_4) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * t_7))));
	elseif (a <= 2.2e+116)
		tmp = Float64(y2 * Float64(Float64(k * t_9) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (a <= 3.35e+190)
		tmp = t_8;
	elseif (a <= 3.35e+249)
		tmp = Float64(a * t_2);
	else
		tmp = Float64(y * 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 = (x * y) - (z * t);
	t_2 = b * t_1;
	t_3 = (i * y5) - (b * y4);
	t_4 = (t * y2) - (y * y3);
	t_5 = x * ((a * b) - (c * i));
	t_6 = y * (((k * t_3) + t_5) + (y3 * ((c * y4) - (a * y5))));
	t_7 = (j * y3) - (k * y2);
	t_8 = y0 * (((y5 * t_7) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	t_9 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (a <= -1.7e+72)
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + t_2) + (y5 * t_4));
	elseif (a <= -9.5e-28)
		tmp = t_8;
	elseif (a <= -6.5e-119)
		tmp = t_6;
	elseif (a <= -1.42e-124)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (a <= -1.05e-201)
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	elseif (a <= -3.5e-304)
		tmp = t_8;
	elseif (a <= 1.32e-179)
		tmp = k * (((y * t_3) + (y2 * t_9)) + (z * ((b * y0) - (i * y1))));
	elseif (a <= 1.25e-130)
		tmp = t_6;
	elseif (a <= 4.6e+38)
		tmp = y5 * ((a * t_4) + ((i * ((y * k) - (t * j))) + (y0 * t_7)));
	elseif (a <= 2.2e+116)
		tmp = y2 * ((k * t_9) + (t * ((a * y5) - (c * y4))));
	elseif (a <= 3.35e+190)
		tmp = t_8;
	elseif (a <= 3.35e+249)
		tmp = a * t_2;
	else
		tmp = y * 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[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y * N[(N[(N[(k * t$95$3), $MachinePrecision] + t$95$5), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y0 * N[(N[(N[(y5 * t$95$7), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.7e+72], N[(a * N[(N[(N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision] + N[(y5 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -9.5e-28], t$95$8, If[LessEqual[a, -6.5e-119], t$95$6, If[LessEqual[a, -1.42e-124], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.05e-201], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.5e-304], t$95$8, If[LessEqual[a, 1.32e-179], N[(k * N[(N[(N[(y * t$95$3), $MachinePrecision] + N[(y2 * t$95$9), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.25e-130], t$95$6, If[LessEqual[a, 4.6e+38], N[(y5 * N[(N[(a * t$95$4), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.2e+116], N[(y2 * N[(N[(k * t$95$9), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.35e+190], t$95$8, If[LessEqual[a, 3.35e+249], N[(a * t$95$2), $MachinePrecision], N[(y * t$95$5), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -1.6999999999999999e72

   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. Taylor expanded in a around inf 66.5%

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

   if -1.6999999999999999e72 < a < -9.50000000000000001e-28 or -1.05000000000000006e-201 < a < -3.5e-304 or 2.2e116 < a < 3.35e190

   1. Initial program 28.8%

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

   2. Taylor expanded in y0 around inf 63.6%

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

   if -9.50000000000000001e-28 < a < -6.5e-119 or 1.31999999999999999e-179 < a < 1.2499999999999999e-130

   1. Initial program 50.8%

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

   2. Taylor expanded in y around inf 81.0%

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

   if -6.5e-119 < a < -1.42000000000000004e-124

   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. Taylor expanded in j around inf 100.0%

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

   3. Taylor expanded in y0 around inf 100.0%

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

   if -1.42000000000000004e-124 < a < -1.05000000000000006e-201

   1. Initial program 33.8%

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

   2. Taylor expanded in i around -inf 75.4%

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

   if -3.5e-304 < a < 1.31999999999999999e-179

   1. Initial program 37.8%

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

   2. Taylor expanded in k around inf 62.1%

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

   if 1.2499999999999999e-130 < a < 4.6000000000000002e38

   1. Initial program 34.3%

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

   2. Taylor expanded in y5 around -inf 54.3%

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

   if 4.6000000000000002e38 < a < 2.2e116

   1. Initial program 26.3%

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

   2. Taylor expanded in y around inf 21.4%

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

   3. Taylor expanded in y2 around inf 63.6%

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

      1. *-commutative 63.6%

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

      2. *-commutative 63.6%

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

   5. Simplified 63.6%

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

   if 3.35e190 < a < 3.35000000000000013e249

   1. Initial program 18.2%

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

   2. Taylor expanded in b around inf 36.5%

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

   3. Taylor expanded in a around inf 55.1%

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

   if 3.35000000000000013e249 < a

   1. Initial program 11.1%

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

   2. Taylor expanded in y around inf 33.7%

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

   3. Taylor expanded in x around inf 66.8%

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

4. Final simplification 65.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.7 \cdot 10^{+72}:\\ \;\;\;\;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}\;a \leq -9.5 \cdot 10^{-28}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{-119}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -1.42 \cdot 10^{-124}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-201}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-304}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.32 \cdot 10^{-179}:\\ \;\;\;\;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}\;a \leq 1.25 \cdot 10^{-130}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 4.6 \cdot 10^{+38}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{+116}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 3.35 \cdot 10^{+190}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 3.35 \cdot 10^{+249}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 2: 53.8% accurate, 0.5× speedup

Math

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

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2
         (+
          (+
           (+
            (+
             (+
              (* (- (* a b) (* c i)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) (- (* z k) (* x j))))
             (* (- (* c y0) (* a y1)) (- (* x y2) (* z y3))))
            (* (- (* b y4) (* i y5)) (- (* t j) (* y k))))
           (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
          (* (- (* k y2) (* j y3)) t_1))))
   (if (<= t_2 INFINITY)
     t_2
     (* k (+ (* y (- (* i y5) (* b y4))) (* 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 = (y1 * y4) - (y0 * y5);
	double t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * t_1);
	double tmp;
	if (t_2 <= ((double) INFINITY)) {
		tmp = t_2;
	} else {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (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 = (y1 * y4) - (y0 * y5);
	double t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * t_1);
	double tmp;
	if (t_2 <= Double.POSITIVE_INFINITY) {
		tmp = t_2;
	} else {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (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 = (y1 * y4) - (y0 * y5)
	t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * t_1)
	tmp = 0
	if t_2 <= math.inf:
		tmp = t_2
	else:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(a * b) - Float64(c * i)) * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(Float64(b * y0) - Float64(i * y1)) * Float64(Float64(z * k) - Float64(x * j)))) + Float64(Float64(Float64(c * y0) - Float64(a * y1)) * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(Float64(Float64(b * y4) - Float64(i * y5)) * Float64(Float64(t * j) - Float64(y * k)))) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_1))
	tmp = 0.0
	if (t_2 <= Inf)
		tmp = t_2;
	else
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + 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 = (y1 * y4) - (y0 * y5);
	t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * t_1);
	tmp = 0.0;
	if (t_2 <= Inf)
		tmp = t_2;
	else
		tmp = k * ((y * ((i * y5) - (b * y4))) + (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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(N[(N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision] * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$2, Infinity], t$95$2, N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $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 93.3%

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

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

   1. Initial program 0.0%

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

   2. Taylor expanded in y around inf 23.7%

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

   3. Taylor expanded in k around inf 39.8%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 59.7%

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

Alternative 3: 39.3% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := a \cdot \left(b \cdot t_1\right)\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := t \cdot j - y \cdot k\\ t_6 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot t_1 + y5 \cdot t_5\right)\right)\\ t_7 := z \cdot k - x \cdot j\\ t_8 := a \cdot b - c \cdot i\\ t_9 := y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot t_7\right)\\ t_10 := c \cdot y4 - a \cdot y5\\ \mathbf{if}\;b \leq -4.8 \cdot 10^{+135}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+92}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_5 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{-65}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-303}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t_4\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-219}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t_4 + x \cdot t_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-163}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(x \cdot t_8 + y3 \cdot t_10\right)\\ \mathbf{elif}\;b \leq 1.56 \cdot 10^{-27}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 5500000000:\\ \;\;\;\;y3 \cdot \left(y \cdot t_10 + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_4\right)\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{+25}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_8 + y2 \cdot t_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 1.65 \cdot 10^{+94}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{+164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 3.3 \cdot 10^{+180}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t_1 + y4 \cdot t_5\right) + y0 \cdot t_7\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (- (* c y0) (* a y1)))
        (t_3 (* a (* b t_1)))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5 (- (* t j) (* y k)))
        (t_6 (* i (- (* y1 (- (* x j) (* z k))) (+ (* c t_1) (* y5 t_5)))))
        (t_7 (- (* z k) (* x j)))
        (t_8 (- (* a b) (* c i)))
        (t_9
         (*
          y0
          (+
           (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))
           (* b t_7))))
        (t_10 (- (* c y4) (* a y5))))
   (if (<= b -4.8e+135)
     t_3
     (if (<= b -2.8e+92)
       (*
        y4
        (+
         (+ (* b t_5) (* y1 (- (* k y2) (* j y3))))
         (* c (- (* y y3) (* t y2)))))
       (if (<= b -1.4e-65)
         t_9
         (if (<= b 8.5e-303)
           (* k (+ (* y (- (* i y5) (* b y4))) (* y2 t_4)))
           (if (<= b 4.4e-219)
             (* y2 (+ (+ (* k t_4) (* x t_2)) (* t (- (* a y5) (* c y4)))))
             (if (<= b 1.9e-163)
               t_6
               (if (<= b 1.45e-96)
                 (* y (+ (* x t_8) (* y3 t_10)))
                 (if (<= b 1.56e-27)
                   t_6
                   (if (<= b 5500000000.0)
                     (*
                      y3
                      (+ (* y t_10) (- (* z (- (* a y1) (* c y0))) (* j t_4))))
                     (if (<= b 8.5e+25)
                       (*
                        x
                        (+
                         (+ (* y t_8) (* y2 t_2))
                         (* j (- (* i y1) (* b y0)))))
                       (if (<= b 1.65e+94)
                         t_9
                         (if (<= b 3.6e+164)
                           t_3
                           (if (<= b 3.3e+180)
                             (* j (* y0 (- (* y3 y5) (* x b))))
                             (*
                              b
                              (+
                               (+ (* a t_1) (* y4 t_5))
                               (* y0 t_7))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = a * (b * t_1);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (t * j) - (y * k);
	double t_6 = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * t_5)));
	double t_7 = (z * k) - (x * j);
	double t_8 = (a * b) - (c * i);
	double t_9 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_7));
	double t_10 = (c * y4) - (a * y5);
	double tmp;
	if (b <= -4.8e+135) {
		tmp = t_3;
	} else if (b <= -2.8e+92) {
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (b <= -1.4e-65) {
		tmp = t_9;
	} else if (b <= 8.5e-303) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_4));
	} else if (b <= 4.4e-219) {
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 1.9e-163) {
		tmp = t_6;
	} else if (b <= 1.45e-96) {
		tmp = y * ((x * t_8) + (y3 * t_10));
	} else if (b <= 1.56e-27) {
		tmp = t_6;
	} else if (b <= 5500000000.0) {
		tmp = y3 * ((y * t_10) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	} else if (b <= 8.5e+25) {
		tmp = x * (((y * t_8) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (b <= 1.65e+94) {
		tmp = t_9;
	} else if (b <= 3.6e+164) {
		tmp = t_3;
	} else if (b <= 3.3e+180) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = b * (((a * t_1) + (y4 * t_5)) + (y0 * t_7));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = (c * y0) - (a * y1)
    t_3 = a * (b * t_1)
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = (t * j) - (y * k)
    t_6 = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * t_5)))
    t_7 = (z * k) - (x * j)
    t_8 = (a * b) - (c * i)
    t_9 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_7))
    t_10 = (c * y4) - (a * y5)
    if (b <= (-4.8d+135)) then
        tmp = t_3
    else if (b <= (-2.8d+92)) then
        tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (b <= (-1.4d-65)) then
        tmp = t_9
    else if (b <= 8.5d-303) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_4))
    else if (b <= 4.4d-219) then
        tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    else if (b <= 1.9d-163) then
        tmp = t_6
    else if (b <= 1.45d-96) then
        tmp = y * ((x * t_8) + (y3 * t_10))
    else if (b <= 1.56d-27) then
        tmp = t_6
    else if (b <= 5500000000.0d0) then
        tmp = y3 * ((y * t_10) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
    else if (b <= 8.5d+25) then
        tmp = x * (((y * t_8) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
    else if (b <= 1.65d+94) then
        tmp = t_9
    else if (b <= 3.6d+164) then
        tmp = t_3
    else if (b <= 3.3d+180) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else
        tmp = b * (((a * t_1) + (y4 * t_5)) + (y0 * t_7))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = a * (b * t_1);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (t * j) - (y * k);
	double t_6 = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * t_5)));
	double t_7 = (z * k) - (x * j);
	double t_8 = (a * b) - (c * i);
	double t_9 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_7));
	double t_10 = (c * y4) - (a * y5);
	double tmp;
	if (b <= -4.8e+135) {
		tmp = t_3;
	} else if (b <= -2.8e+92) {
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (b <= -1.4e-65) {
		tmp = t_9;
	} else if (b <= 8.5e-303) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_4));
	} else if (b <= 4.4e-219) {
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 1.9e-163) {
		tmp = t_6;
	} else if (b <= 1.45e-96) {
		tmp = y * ((x * t_8) + (y3 * t_10));
	} else if (b <= 1.56e-27) {
		tmp = t_6;
	} else if (b <= 5500000000.0) {
		tmp = y3 * ((y * t_10) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	} else if (b <= 8.5e+25) {
		tmp = x * (((y * t_8) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (b <= 1.65e+94) {
		tmp = t_9;
	} else if (b <= 3.6e+164) {
		tmp = t_3;
	} else if (b <= 3.3e+180) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else {
		tmp = b * (((a * t_1) + (y4 * t_5)) + (y0 * t_7));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = (c * y0) - (a * y1)
	t_3 = a * (b * t_1)
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = (t * j) - (y * k)
	t_6 = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * t_5)))
	t_7 = (z * k) - (x * j)
	t_8 = (a * b) - (c * i)
	t_9 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_7))
	t_10 = (c * y4) - (a * y5)
	tmp = 0
	if b <= -4.8e+135:
		tmp = t_3
	elif b <= -2.8e+92:
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif b <= -1.4e-65:
		tmp = t_9
	elif b <= 8.5e-303:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_4))
	elif b <= 4.4e-219:
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	elif b <= 1.9e-163:
		tmp = t_6
	elif b <= 1.45e-96:
		tmp = y * ((x * t_8) + (y3 * t_10))
	elif b <= 1.56e-27:
		tmp = t_6
	elif b <= 5500000000.0:
		tmp = y3 * ((y * t_10) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
	elif b <= 8.5e+25:
		tmp = x * (((y * t_8) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
	elif b <= 1.65e+94:
		tmp = t_9
	elif b <= 3.6e+164:
		tmp = t_3
	elif b <= 3.3e+180:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	else:
		tmp = b * (((a * t_1) + (y4 * t_5)) + (y0 * t_7))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(a * Float64(b * t_1))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(Float64(t * j) - Float64(y * k))
	t_6 = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * t_1) + Float64(y5 * t_5))))
	t_7 = Float64(Float64(z * k) - Float64(x * j))
	t_8 = Float64(Float64(a * b) - Float64(c * i))
	t_9 = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * t_7)))
	t_10 = Float64(Float64(c * y4) - Float64(a * y5))
	tmp = 0.0
	if (b <= -4.8e+135)
		tmp = t_3;
	elseif (b <= -2.8e+92)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_5) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (b <= -1.4e-65)
		tmp = t_9;
	elseif (b <= 8.5e-303)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_4)));
	elseif (b <= 4.4e-219)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_4) + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (b <= 1.9e-163)
		tmp = t_6;
	elseif (b <= 1.45e-96)
		tmp = Float64(y * Float64(Float64(x * t_8) + Float64(y3 * t_10)));
	elseif (b <= 1.56e-27)
		tmp = t_6;
	elseif (b <= 5500000000.0)
		tmp = Float64(y3 * Float64(Float64(y * t_10) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_4))));
	elseif (b <= 8.5e+25)
		tmp = Float64(x * Float64(Float64(Float64(y * t_8) + Float64(y2 * t_2)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (b <= 1.65e+94)
		tmp = t_9;
	elseif (b <= 3.6e+164)
		tmp = t_3;
	elseif (b <= 3.3e+180)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	else
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_5)) + Float64(y0 * t_7)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = (c * y0) - (a * y1);
	t_3 = a * (b * t_1);
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = (t * j) - (y * k);
	t_6 = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * t_5)));
	t_7 = (z * k) - (x * j);
	t_8 = (a * b) - (c * i);
	t_9 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * t_7));
	t_10 = (c * y4) - (a * y5);
	tmp = 0.0;
	if (b <= -4.8e+135)
		tmp = t_3;
	elseif (b <= -2.8e+92)
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (b <= -1.4e-65)
		tmp = t_9;
	elseif (b <= 8.5e-303)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_4));
	elseif (b <= 4.4e-219)
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	elseif (b <= 1.9e-163)
		tmp = t_6;
	elseif (b <= 1.45e-96)
		tmp = y * ((x * t_8) + (y3 * t_10));
	elseif (b <= 1.56e-27)
		tmp = t_6;
	elseif (b <= 5500000000.0)
		tmp = y3 * ((y * t_10) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	elseif (b <= 8.5e+25)
		tmp = x * (((y * t_8) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	elseif (b <= 1.65e+94)
		tmp = t_9;
	elseif (b <= 3.6e+164)
		tmp = t_3;
	elseif (b <= 3.3e+180)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	else
		tmp = b * (((a * t_1) + (y4 * t_5)) + (y0 * t_7));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * t$95$1), $MachinePrecision] + N[(y5 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -4.8e+135], t$95$3, If[LessEqual[b, -2.8e+92], N[(y4 * N[(N[(N[(b * t$95$5), $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[b, -1.4e-65], t$95$9, If[LessEqual[b, 8.5e-303], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.4e-219], N[(y2 * N[(N[(N[(k * t$95$4), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.9e-163], t$95$6, If[LessEqual[b, 1.45e-96], N[(y * N[(N[(x * t$95$8), $MachinePrecision] + N[(y3 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.56e-27], t$95$6, If[LessEqual[b, 5500000000.0], N[(y3 * N[(N[(y * t$95$10), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 8.5e+25], N[(x * N[(N[(N[(y * t$95$8), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.65e+94], t$95$9, If[LessEqual[b, 3.6e+164], t$95$3, If[LessEqual[b, 3.3e+180], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if b < -4.79999999999999995e135 or 1.65e94 < b < 3.5999999999999999e164

   1. Initial program 23.6%

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

   2. Taylor expanded in b around inf 45.2%

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

   3. Taylor expanded in a around inf 63.9%

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

   if -4.79999999999999995e135 < b < -2.80000000000000001e92

   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. Taylor expanded in y4 around inf 71.0%

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

   if -2.80000000000000001e92 < b < -1.4e-65 or 8.5000000000000007e25 < b < 1.65e94

   1. Initial program 52.1%

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

   2. Taylor expanded in y0 around inf 59.2%

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

   if -1.4e-65 < b < 8.5e-303

   1. Initial program 34.7%

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

   2. Taylor expanded in y around inf 48.4%

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

   3. Taylor expanded in k around inf 54.8%

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

   if 8.5e-303 < b < 4.3999999999999999e-219

   1. Initial program 42.0%

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

   2. Taylor expanded in y2 around inf 70.7%

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

   if 4.3999999999999999e-219 < b < 1.9e-163 or 1.44999999999999997e-96 < b < 1.56e-27

   1. Initial program 29.4%

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

   2. Taylor expanded in i around -inf 65.2%

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

   if 1.9e-163 < b < 1.44999999999999997e-96

   1. Initial program 47.2%

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

   2. Taylor expanded in y around inf 82.0%

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

   3. Taylor expanded in k around 0 73.6%

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

   if 1.56e-27 < b < 5.5e9

   1. Initial program 36.2%

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

   2. Taylor expanded in y3 around -inf 73.3%

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

   if 5.5e9 < b < 8.5000000000000007e25

   1. Initial program 27.0%

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

   2. Taylor expanded in x around inf 75.4%

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

   if 3.5999999999999999e164 < b < 3.29999999999999989e180

   1. Initial program 14.3%

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

   2. Taylor expanded in j around inf 42.9%

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

   3. Taylor expanded in y0 around inf 72.2%

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

   if 3.29999999999999989e180 < b

   1. Initial program 20.8%

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

   2. Taylor expanded in b around inf 83.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 65.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -4.8 \cdot 10^{+135}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+92}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{-65}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-303}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-219}:\\ \;\;\;\;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}\;b \leq 1.9 \cdot 10^{-163}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.56 \cdot 10^{-27}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;b \leq 5500000000:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{+25}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 1.65 \cdot 10^{+94}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{+164}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;b \leq 3.3 \cdot 10^{+180}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 4: 39.7% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := i \cdot y5 - b \cdot y4\\ t_3 := a \cdot b - c \cdot i\\ t_4 := x \cdot \left(\left(y \cdot t_3 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_5 := y \cdot t_2 + y2 \cdot t_1\\ t_6 := c \cdot y4 - a \cdot y5\\ t_7 := y \cdot \left(\left(k \cdot t_2 + x \cdot t_3\right) + y3 \cdot t_6\right)\\ t_8 := y3 \cdot \left(y \cdot t_6 + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_1\right)\right)\\ \mathbf{if}\;x \leq -3.2 \cdot 10^{+141}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -7 \cdot 10^{+103}:\\ \;\;\;\;i \cdot \left(t \cdot \left(z \cdot c - j \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.8 \cdot 10^{+59}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{-14}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-134}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_1 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-192}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-269}:\\ \;\;\;\;k \cdot t_5\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-229}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-173}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 13800:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+168}:\\ \;\;\;\;k \cdot \left(t_5 + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* i y5) (* b y4)))
        (t_3 (- (* a b) (* c i)))
        (t_4
         (*
          x
          (+
           (+ (* y t_3) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* i y1) (* b y0))))))
        (t_5 (+ (* y t_2) (* y2 t_1)))
        (t_6 (- (* c y4) (* a y5)))
        (t_7 (* y (+ (+ (* k t_2) (* x t_3)) (* y3 t_6))))
        (t_8 (* y3 (+ (* y t_6) (- (* z (- (* a y1) (* c y0))) (* j t_1))))))
   (if (<= x -3.2e+141)
     t_4
     (if (<= x -7e+103)
       (* i (* t (- (* z c) (* j y5))))
       (if (<= x -1.8e+59)
         (* j (* y0 (- (* y3 y5) (* x b))))
         (if (<= x -3.2e-14)
           t_7
           (if (<= x -5.2e-134)
             (* y2 (+ (* k t_1) (* t (- (* a y5) (* c y4)))))
             (if (<= x -3.4e-192)
               t_8
               (if (<= x -6.5e-269)
                 (* k t_5)
                 (if (<= x 3.3e-229)
                   t_8
                   (if (<= x 6.5e-173)
                     t_7
                     (if (<= x 13800.0)
                       (*
                        y1
                        (+
                         (+
                          (* a (- (* z y3) (* x y2)))
                          (* y4 (- (* k y2) (* j y3))))
                         (* i (- (* x j) (* z k)))))
                       (if (<= x 6e+168)
                         (* k (+ t_5 (* z (- (* b y0) (* i y1)))))
                         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 = (y1 * y4) - (y0 * y5);
	double t_2 = (i * y5) - (b * y4);
	double t_3 = (a * b) - (c * i);
	double t_4 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_5 = (y * t_2) + (y2 * t_1);
	double t_6 = (c * y4) - (a * y5);
	double t_7 = y * (((k * t_2) + (x * t_3)) + (y3 * t_6));
	double t_8 = y3 * ((y * t_6) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	double tmp;
	if (x <= -3.2e+141) {
		tmp = t_4;
	} else if (x <= -7e+103) {
		tmp = i * (t * ((z * c) - (j * y5)));
	} else if (x <= -1.8e+59) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (x <= -3.2e-14) {
		tmp = t_7;
	} else if (x <= -5.2e-134) {
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	} else if (x <= -3.4e-192) {
		tmp = t_8;
	} else if (x <= -6.5e-269) {
		tmp = k * t_5;
	} else if (x <= 3.3e-229) {
		tmp = t_8;
	} else if (x <= 6.5e-173) {
		tmp = t_7;
	} else if (x <= 13800.0) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} else if (x <= 6e+168) {
		tmp = k * (t_5 + (z * ((b * y0) - (i * y1))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = (i * y5) - (b * y4)
    t_3 = (a * b) - (c * i)
    t_4 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    t_5 = (y * t_2) + (y2 * t_1)
    t_6 = (c * y4) - (a * y5)
    t_7 = y * (((k * t_2) + (x * t_3)) + (y3 * t_6))
    t_8 = y3 * ((y * t_6) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
    if (x <= (-3.2d+141)) then
        tmp = t_4
    else if (x <= (-7d+103)) then
        tmp = i * (t * ((z * c) - (j * y5)))
    else if (x <= (-1.8d+59)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (x <= (-3.2d-14)) then
        tmp = t_7
    else if (x <= (-5.2d-134)) then
        tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))))
    else if (x <= (-3.4d-192)) then
        tmp = t_8
    else if (x <= (-6.5d-269)) then
        tmp = k * t_5
    else if (x <= 3.3d-229) then
        tmp = t_8
    else if (x <= 6.5d-173) then
        tmp = t_7
    else if (x <= 13800.0d0) then
        tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
    else if (x <= 6d+168) then
        tmp = k * (t_5 + (z * ((b * y0) - (i * y1))))
    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 = (y1 * y4) - (y0 * y5);
	double t_2 = (i * y5) - (b * y4);
	double t_3 = (a * b) - (c * i);
	double t_4 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_5 = (y * t_2) + (y2 * t_1);
	double t_6 = (c * y4) - (a * y5);
	double t_7 = y * (((k * t_2) + (x * t_3)) + (y3 * t_6));
	double t_8 = y3 * ((y * t_6) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	double tmp;
	if (x <= -3.2e+141) {
		tmp = t_4;
	} else if (x <= -7e+103) {
		tmp = i * (t * ((z * c) - (j * y5)));
	} else if (x <= -1.8e+59) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (x <= -3.2e-14) {
		tmp = t_7;
	} else if (x <= -5.2e-134) {
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	} else if (x <= -3.4e-192) {
		tmp = t_8;
	} else if (x <= -6.5e-269) {
		tmp = k * t_5;
	} else if (x <= 3.3e-229) {
		tmp = t_8;
	} else if (x <= 6.5e-173) {
		tmp = t_7;
	} else if (x <= 13800.0) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	} else if (x <= 6e+168) {
		tmp = k * (t_5 + (z * ((b * y0) - (i * y1))));
	} 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 = (y1 * y4) - (y0 * y5)
	t_2 = (i * y5) - (b * y4)
	t_3 = (a * b) - (c * i)
	t_4 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	t_5 = (y * t_2) + (y2 * t_1)
	t_6 = (c * y4) - (a * y5)
	t_7 = y * (((k * t_2) + (x * t_3)) + (y3 * t_6))
	t_8 = y3 * ((y * t_6) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
	tmp = 0
	if x <= -3.2e+141:
		tmp = t_4
	elif x <= -7e+103:
		tmp = i * (t * ((z * c) - (j * y5)))
	elif x <= -1.8e+59:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif x <= -3.2e-14:
		tmp = t_7
	elif x <= -5.2e-134:
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))))
	elif x <= -3.4e-192:
		tmp = t_8
	elif x <= -6.5e-269:
		tmp = k * t_5
	elif x <= 3.3e-229:
		tmp = t_8
	elif x <= 6.5e-173:
		tmp = t_7
	elif x <= 13800.0:
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))))
	elif x <= 6e+168:
		tmp = k * (t_5 + (z * ((b * y0) - (i * y1))))
	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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(i * y5) - Float64(b * y4))
	t_3 = Float64(Float64(a * b) - Float64(c * i))
	t_4 = Float64(x * Float64(Float64(Float64(y * t_3) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_5 = Float64(Float64(y * t_2) + Float64(y2 * t_1))
	t_6 = Float64(Float64(c * y4) - Float64(a * y5))
	t_7 = Float64(y * Float64(Float64(Float64(k * t_2) + Float64(x * t_3)) + Float64(y3 * t_6)))
	t_8 = Float64(y3 * Float64(Float64(y * t_6) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_1))))
	tmp = 0.0
	if (x <= -3.2e+141)
		tmp = t_4;
	elseif (x <= -7e+103)
		tmp = Float64(i * Float64(t * Float64(Float64(z * c) - Float64(j * y5))));
	elseif (x <= -1.8e+59)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (x <= -3.2e-14)
		tmp = t_7;
	elseif (x <= -5.2e-134)
		tmp = Float64(y2 * Float64(Float64(k * t_1) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (x <= -3.4e-192)
		tmp = t_8;
	elseif (x <= -6.5e-269)
		tmp = Float64(k * t_5);
	elseif (x <= 3.3e-229)
		tmp = t_8;
	elseif (x <= 6.5e-173)
		tmp = t_7;
	elseif (x <= 13800.0)
		tmp = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (x <= 6e+168)
		tmp = Float64(k * Float64(t_5 + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	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 = (y1 * y4) - (y0 * y5);
	t_2 = (i * y5) - (b * y4);
	t_3 = (a * b) - (c * i);
	t_4 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	t_5 = (y * t_2) + (y2 * t_1);
	t_6 = (c * y4) - (a * y5);
	t_7 = y * (((k * t_2) + (x * t_3)) + (y3 * t_6));
	t_8 = y3 * ((y * t_6) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	tmp = 0.0;
	if (x <= -3.2e+141)
		tmp = t_4;
	elseif (x <= -7e+103)
		tmp = i * (t * ((z * c) - (j * y5)));
	elseif (x <= -1.8e+59)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (x <= -3.2e-14)
		tmp = t_7;
	elseif (x <= -5.2e-134)
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	elseif (x <= -3.4e-192)
		tmp = t_8;
	elseif (x <= -6.5e-269)
		tmp = k * t_5;
	elseif (x <= 3.3e-229)
		tmp = t_8;
	elseif (x <= 6.5e-173)
		tmp = t_7;
	elseif (x <= 13800.0)
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * ((x * j) - (z * k))));
	elseif (x <= 6e+168)
		tmp = k * (t_5 + (z * ((b * y0) - (i * y1))));
	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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(x * N[(N[(N[(y * t$95$3), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y3 * N[(N[(y * t$95$6), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3.2e+141], t$95$4, If[LessEqual[x, -7e+103], N[(i * N[(t * N[(N[(z * c), $MachinePrecision] - N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.8e+59], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.2e-14], t$95$7, If[LessEqual[x, -5.2e-134], N[(y2 * N[(N[(k * t$95$1), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.4e-192], t$95$8, If[LessEqual[x, -6.5e-269], N[(k * t$95$5), $MachinePrecision], If[LessEqual[x, 3.3e-229], t$95$8, If[LessEqual[x, 6.5e-173], t$95$7, If[LessEqual[x, 13800.0], N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6e+168], N[(k * N[(t$95$5 + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -3.20000000000000019e141 or 5.9999999999999996e168 < x

   1. Initial program 28.2%

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

   2. Taylor expanded in x around inf 68.8%

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

   if -3.20000000000000019e141 < x < -7e103

   1. Initial program 40.0%

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

   2. Taylor expanded in i around -inf 50.0%

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

   3. Taylor expanded in t around inf 70.4%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(t \cdot \left(-1 \cdot \left(c \cdot z\right) + j \cdot y5\right)\right)}\right) \]
   4. Step-by-step derivation

      1. +-commutative 70.4%

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

      2. mul-1-neg 70.4%

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

      3. unsub-neg 70.4%

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

   5. Simplified 70.4%

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

   if -7e103 < x < -1.7999999999999999e59

   1. Initial program 0.0%

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

   2. Taylor expanded in j around inf 66.7%

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

   3. Taylor expanded in y0 around inf 100.0%

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

   if -1.7999999999999999e59 < x < -3.2000000000000002e-14 or 3.30000000000000021e-229 < x < 6.4999999999999995e-173

   1. Initial program 39.3%

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

   2. Taylor expanded in y around inf 78.7%

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

   if -3.2000000000000002e-14 < x < -5.20000000000000045e-134

   1. Initial program 20.7%

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

   2. Taylor expanded in y around inf 25.7%

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

   3. Taylor expanded in y2 around inf 50.4%

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

      1. *-commutative 50.4%

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

      2. *-commutative 50.4%

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

   5. Simplified 50.4%

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

   if -5.20000000000000045e-134 < x < -3.40000000000000002e-192 or -6.50000000000000006e-269 < x < 3.30000000000000021e-229

   1. Initial program 47.7%

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

   2. Taylor expanded in y3 around -inf 68.8%

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

   if -3.40000000000000002e-192 < x < -6.50000000000000006e-269

   1. Initial program 27.1%

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

   2. Taylor expanded in y around inf 31.7%

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

   3. Taylor expanded in k around inf 58.1%

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

   if 6.4999999999999995e-173 < x < 13800

   1. Initial program 36.5%

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

   2. Taylor expanded in y1 around inf 51.6%

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

   if 13800 < x < 5.9999999999999996e168

   1. Initial program 40.0%

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

   2. Taylor expanded in k around inf 60.6%

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

4. Final simplification 64.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.2 \cdot 10^{+141}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -7 \cdot 10^{+103}:\\ \;\;\;\;i \cdot \left(t \cdot \left(z \cdot c - j \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.8 \cdot 10^{+59}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{-14}:\\ \;\;\;\;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}\;x \leq -5.2 \cdot 10^{-134}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-192}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-269}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-229}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-173}:\\ \;\;\;\;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}\;x \leq 13800:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+168}:\\ \;\;\;\;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{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 5: 39.8% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := t \cdot y2 - y \cdot y3\\ t_3 := y1 \cdot y4 - y0 \cdot y5\\ t_4 := a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot t_1\right) + y5 \cdot t_2\right)\\ t_5 := j \cdot y3 - k \cdot y2\\ t_6 := y5 \cdot \left(a \cdot t_2 + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot t_5\right)\right)\\ t_7 := y0 \cdot \left(\left(y5 \cdot t_5 + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;a \leq -2.5 \cdot 10^{+72}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -2.45 \cdot 10^{-39}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -1.25 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot t_1 + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-299}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{-132}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t_3\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{+23}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+97}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_3 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 9.1 \cdot 10^{+123}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 8.4 \cdot 10^{+161}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 2.15 \cdot 10^{+260}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (- (* t y2) (* y y3)))
        (t_3 (- (* y1 y4) (* y0 y5)))
        (t_4 (* a (+ (+ (* y1 (- (* z y3) (* x y2))) (* b t_1)) (* y5 t_2))))
        (t_5 (- (* j y3) (* k y2)))
        (t_6 (* y5 (+ (* a t_2) (+ (* i (- (* y k) (* t j))) (* y0 t_5)))))
        (t_7
         (*
          y0
          (+
           (+ (* y5 t_5) (* c (- (* x y2) (* z y3))))
           (* b (- (* z k) (* x j)))))))
   (if (<= a -2.5e+72)
     t_4
     (if (<= a -2.45e-39)
       t_7
       (if (<= a -1.25e-193)
         (*
          i
          (-
           (* y1 (- (* x j) (* z k)))
           (+ (* c t_1) (* y5 (- (* t j) (* y k))))))
         (if (<= a -1.05e-299)
           t_7
           (if (<= a 4.2e-132)
             (*
              k
              (+
               (+ (* y (- (* i y5) (* b y4))) (* y2 t_3))
               (* z (- (* b y0) (* i y1)))))
             (if (<= a 1.7e+23)
               t_6
               (if (<= a 1.8e+49)
                 t_4
                 (if (<= a 9e+97)
                   (* y2 (+ (* k t_3) (* t (- (* a y5) (* c y4)))))
                   (if (<= a 9.1e+123)
                     t_6
                     (if (<= a 8.4e+161)
                       t_7
                       (if (<= a 2.15e+260)
                         (* j (* x (- (* i y1) (* b y0))))
                         (* x (* y (- (* a b) (* c i)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_2));
	double t_5 = (j * y3) - (k * y2);
	double t_6 = y5 * ((a * t_2) + ((i * ((y * k) - (t * j))) + (y0 * t_5)));
	double t_7 = y0 * (((y5 * t_5) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (a <= -2.5e+72) {
		tmp = t_4;
	} else if (a <= -2.45e-39) {
		tmp = t_7;
	} else if (a <= -1.25e-193) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= -1.05e-299) {
		tmp = t_7;
	} else if (a <= 4.2e-132) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_3)) + (z * ((b * y0) - (i * y1))));
	} else if (a <= 1.7e+23) {
		tmp = t_6;
	} else if (a <= 1.8e+49) {
		tmp = t_4;
	} else if (a <= 9e+97) {
		tmp = y2 * ((k * t_3) + (t * ((a * y5) - (c * y4))));
	} else if (a <= 9.1e+123) {
		tmp = t_6;
	} else if (a <= 8.4e+161) {
		tmp = t_7;
	} else if (a <= 2.15e+260) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = x * (y * ((a * b) - (c * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: 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 = (x * y) - (z * t)
    t_2 = (t * y2) - (y * y3)
    t_3 = (y1 * y4) - (y0 * y5)
    t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_2))
    t_5 = (j * y3) - (k * y2)
    t_6 = y5 * ((a * t_2) + ((i * ((y * k) - (t * j))) + (y0 * t_5)))
    t_7 = y0 * (((y5 * t_5) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    if (a <= (-2.5d+72)) then
        tmp = t_4
    else if (a <= (-2.45d-39)) then
        tmp = t_7
    else if (a <= (-1.25d-193)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))))
    else if (a <= (-1.05d-299)) then
        tmp = t_7
    else if (a <= 4.2d-132) then
        tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_3)) + (z * ((b * y0) - (i * y1))))
    else if (a <= 1.7d+23) then
        tmp = t_6
    else if (a <= 1.8d+49) then
        tmp = t_4
    else if (a <= 9d+97) then
        tmp = y2 * ((k * t_3) + (t * ((a * y5) - (c * y4))))
    else if (a <= 9.1d+123) then
        tmp = t_6
    else if (a <= 8.4d+161) then
        tmp = t_7
    else if (a <= 2.15d+260) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = x * (y * ((a * b) - (c * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_2));
	double t_5 = (j * y3) - (k * y2);
	double t_6 = y5 * ((a * t_2) + ((i * ((y * k) - (t * j))) + (y0 * t_5)));
	double t_7 = y0 * (((y5 * t_5) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (a <= -2.5e+72) {
		tmp = t_4;
	} else if (a <= -2.45e-39) {
		tmp = t_7;
	} else if (a <= -1.25e-193) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= -1.05e-299) {
		tmp = t_7;
	} else if (a <= 4.2e-132) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_3)) + (z * ((b * y0) - (i * y1))));
	} else if (a <= 1.7e+23) {
		tmp = t_6;
	} else if (a <= 1.8e+49) {
		tmp = t_4;
	} else if (a <= 9e+97) {
		tmp = y2 * ((k * t_3) + (t * ((a * y5) - (c * y4))));
	} else if (a <= 9.1e+123) {
		tmp = t_6;
	} else if (a <= 8.4e+161) {
		tmp = t_7;
	} else if (a <= 2.15e+260) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = x * (y * ((a * b) - (c * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = (t * y2) - (y * y3)
	t_3 = (y1 * y4) - (y0 * y5)
	t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_2))
	t_5 = (j * y3) - (k * y2)
	t_6 = y5 * ((a * t_2) + ((i * ((y * k) - (t * j))) + (y0 * t_5)))
	t_7 = y0 * (((y5 * t_5) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	tmp = 0
	if a <= -2.5e+72:
		tmp = t_4
	elif a <= -2.45e-39:
		tmp = t_7
	elif a <= -1.25e-193:
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))))
	elif a <= -1.05e-299:
		tmp = t_7
	elif a <= 4.2e-132:
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_3)) + (z * ((b * y0) - (i * y1))))
	elif a <= 1.7e+23:
		tmp = t_6
	elif a <= 1.8e+49:
		tmp = t_4
	elif a <= 9e+97:
		tmp = y2 * ((k * t_3) + (t * ((a * y5) - (c * y4))))
	elif a <= 9.1e+123:
		tmp = t_6
	elif a <= 8.4e+161:
		tmp = t_7
	elif a <= 2.15e+260:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = x * (y * ((a * b) - (c * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(Float64(t * y2) - Float64(y * y3))
	t_3 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_4 = Float64(a * Float64(Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(b * t_1)) + Float64(y5 * t_2)))
	t_5 = Float64(Float64(j * y3) - Float64(k * y2))
	t_6 = Float64(y5 * Float64(Float64(a * t_2) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * t_5))))
	t_7 = Float64(y0 * Float64(Float64(Float64(y5 * t_5) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (a <= -2.5e+72)
		tmp = t_4;
	elseif (a <= -2.45e-39)
		tmp = t_7;
	elseif (a <= -1.25e-193)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * t_1) + Float64(y5 * Float64(Float64(t * j) - Float64(y * k))))));
	elseif (a <= -1.05e-299)
		tmp = t_7;
	elseif (a <= 4.2e-132)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_3)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (a <= 1.7e+23)
		tmp = t_6;
	elseif (a <= 1.8e+49)
		tmp = t_4;
	elseif (a <= 9e+97)
		tmp = Float64(y2 * Float64(Float64(k * t_3) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (a <= 9.1e+123)
		tmp = t_6;
	elseif (a <= 8.4e+161)
		tmp = t_7;
	elseif (a <= 2.15e+260)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = (t * y2) - (y * y3);
	t_3 = (y1 * y4) - (y0 * y5);
	t_4 = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_2));
	t_5 = (j * y3) - (k * y2);
	t_6 = y5 * ((a * t_2) + ((i * ((y * k) - (t * j))) + (y0 * t_5)));
	t_7 = y0 * (((y5 * t_5) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (a <= -2.5e+72)
		tmp = t_4;
	elseif (a <= -2.45e-39)
		tmp = t_7;
	elseif (a <= -1.25e-193)
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	elseif (a <= -1.05e-299)
		tmp = t_7;
	elseif (a <= 4.2e-132)
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_3)) + (z * ((b * y0) - (i * y1))));
	elseif (a <= 1.7e+23)
		tmp = t_6;
	elseif (a <= 1.8e+49)
		tmp = t_4;
	elseif (a <= 9e+97)
		tmp = y2 * ((k * t_3) + (t * ((a * y5) - (c * y4))));
	elseif (a <= 9.1e+123)
		tmp = t_6;
	elseif (a <= 8.4e+161)
		tmp = t_7;
	elseif (a <= 2.15e+260)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = x * (y * ((a * b) - (c * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $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 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y5 * N[(N[(a * t$95$2), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y0 * N[(N[(N[(y5 * t$95$5), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.5e+72], t$95$4, If[LessEqual[a, -2.45e-39], t$95$7, If[LessEqual[a, -1.25e-193], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.05e-299], t$95$7, If[LessEqual[a, 4.2e-132], N[(k * N[(N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.7e+23], t$95$6, If[LessEqual[a, 1.8e+49], t$95$4, If[LessEqual[a, 9e+97], N[(y2 * N[(N[(k * t$95$3), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.1e+123], t$95$6, If[LessEqual[a, 8.4e+161], t$95$7, If[LessEqual[a, 2.15e+260], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if a < -2.49999999999999996e72 or 1.69999999999999996e23 < a < 1.79999999999999998e49

   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. Taylor expanded in a around inf 64.8%

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

   if -2.49999999999999996e72 < a < -2.44999999999999987e-39 or -1.2500000000000001e-193 < a < -1.05000000000000005e-299 or 9.0999999999999996e123 < a < 8.4e161

   1. Initial program 29.5%

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

   2. Taylor expanded in y0 around inf 68.3%

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

   if -2.44999999999999987e-39 < a < -1.2500000000000001e-193

   1. Initial program 42.8%

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

   2. Taylor expanded in i around -inf 58.3%

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

   if -1.05000000000000005e-299 < a < 4.2000000000000002e-132

   1. Initial program 44.1%

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

   2. Taylor expanded in k around inf 56.6%

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

   if 4.2000000000000002e-132 < a < 1.69999999999999996e23 or 8.99999999999999952e97 < a < 9.0999999999999996e123

   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. Taylor expanded in y5 around -inf 58.3%

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

   if 1.79999999999999998e49 < a < 8.99999999999999952e97

   1. Initial program 37.5%

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

   2. Taylor expanded in y around inf 37.5%

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

   3. Taylor expanded in y2 around inf 100.0%

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

      1. *-commutative 100.0%

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

      2. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   if 8.4e161 < a < 2.15000000000000012e260

   1. Initial program 20.8%

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

   2. Taylor expanded in j around inf 37.8%

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

   3. Taylor expanded in x around inf 55.3%

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

   if 2.15000000000000012e260 < a

   1. Initial program 0.0%

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

   2. Taylor expanded in y around inf 40.0%

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

   3. Taylor expanded in x around inf 100.0%

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

4. Final simplification 63.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.5 \cdot 10^{+72}:\\ \;\;\;\;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}\;a \leq -2.45 \cdot 10^{-39}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -1.25 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-299}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{-132}:\\ \;\;\;\;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}\;a \leq 1.7 \cdot 10^{+23}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+49}:\\ \;\;\;\;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}\;a \leq 9 \cdot 10^{+97}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 9.1 \cdot 10^{+123}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 8.4 \cdot 10^{+161}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 2.15 \cdot 10^{+260}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 6: 36.8% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := a \cdot b - c \cdot i\\ t_4 := x \cdot t_3\\ t_5 := x \cdot \left(\left(y \cdot t_3 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_1\right)\\ t_6 := k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t_2\right)\\ \mathbf{if}\;x \leq -1.3 \cdot 10^{+157}:\\ \;\;\;\;y \cdot t_4\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{+100}:\\ \;\;\;\;j \cdot \left(x \cdot t_1\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{+19}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-100}:\\ \;\;\;\;y \cdot \left(t_4 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-156}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-270}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{-276}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2.25 \cdot 10^{+56}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_2 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 6.4 \cdot 10^{+168}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (- (* a b) (* c i)))
        (t_4 (* x t_3))
        (t_5 (* x (+ (+ (* y t_3) (* y2 (- (* c y0) (* a y1)))) (* j t_1))))
        (t_6 (* k (+ (* y (- (* i y5) (* b y4))) (* y2 t_2)))))
   (if (<= x -1.3e+157)
     (* y t_4)
     (if (<= x -7.5e+100)
       (* j (* x t_1))
       (if (<= x -1.2e+19)
         t_5
         (if (<= x -1.7e-100)
           (* y (+ t_4 (* y3 (- (* c y4) (* a y5)))))
           (if (<= x -5.6e-156)
             (* y0 (* y5 (- (* j y3) (* k y2))))
             (if (<= x -1.7e-270)
               t_6
               (if (<= x 5.2e-276)
                 (* j (* y3 (- (* y0 y5) (* y1 y4))))
                 (if (<= x 2.25e+56)
                   (* y2 (+ (* k t_2) (* t (- (* a y5) (* c y4)))))
                   (if (<= x 6.4e+168) t_6 t_5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (a * b) - (c * i);
	double t_4 = x * t_3;
	double t_5 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	double t_6 = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2));
	double tmp;
	if (x <= -1.3e+157) {
		tmp = y * t_4;
	} else if (x <= -7.5e+100) {
		tmp = j * (x * t_1);
	} else if (x <= -1.2e+19) {
		tmp = t_5;
	} else if (x <= -1.7e-100) {
		tmp = y * (t_4 + (y3 * ((c * y4) - (a * y5))));
	} else if (x <= -5.6e-156) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -1.7e-270) {
		tmp = t_6;
	} else if (x <= 5.2e-276) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 2.25e+56) {
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))));
	} else if (x <= 6.4e+168) {
		tmp = t_6;
	} else {
		tmp = t_5;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = (a * b) - (c * i)
    t_4 = x * t_3
    t_5 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
    t_6 = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2))
    if (x <= (-1.3d+157)) then
        tmp = y * t_4
    else if (x <= (-7.5d+100)) then
        tmp = j * (x * t_1)
    else if (x <= (-1.2d+19)) then
        tmp = t_5
    else if (x <= (-1.7d-100)) then
        tmp = y * (t_4 + (y3 * ((c * y4) - (a * y5))))
    else if (x <= (-5.6d-156)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (x <= (-1.7d-270)) then
        tmp = t_6
    else if (x <= 5.2d-276) then
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    else if (x <= 2.25d+56) then
        tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))))
    else if (x <= 6.4d+168) then
        tmp = t_6
    else
        tmp = t_5
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (a * b) - (c * i);
	double t_4 = x * t_3;
	double t_5 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	double t_6 = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2));
	double tmp;
	if (x <= -1.3e+157) {
		tmp = y * t_4;
	} else if (x <= -7.5e+100) {
		tmp = j * (x * t_1);
	} else if (x <= -1.2e+19) {
		tmp = t_5;
	} else if (x <= -1.7e-100) {
		tmp = y * (t_4 + (y3 * ((c * y4) - (a * y5))));
	} else if (x <= -5.6e-156) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -1.7e-270) {
		tmp = t_6;
	} else if (x <= 5.2e-276) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 2.25e+56) {
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))));
	} else if (x <= 6.4e+168) {
		tmp = t_6;
	} else {
		tmp = t_5;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = (a * b) - (c * i)
	t_4 = x * t_3
	t_5 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
	t_6 = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2))
	tmp = 0
	if x <= -1.3e+157:
		tmp = y * t_4
	elif x <= -7.5e+100:
		tmp = j * (x * t_1)
	elif x <= -1.2e+19:
		tmp = t_5
	elif x <= -1.7e-100:
		tmp = y * (t_4 + (y3 * ((c * y4) - (a * y5))))
	elif x <= -5.6e-156:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif x <= -1.7e-270:
		tmp = t_6
	elif x <= 5.2e-276:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	elif x <= 2.25e+56:
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))))
	elif x <= 6.4e+168:
		tmp = t_6
	else:
		tmp = t_5
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(Float64(a * b) - Float64(c * i))
	t_4 = Float64(x * t_3)
	t_5 = Float64(x * Float64(Float64(Float64(y * t_3) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_1)))
	t_6 = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_2)))
	tmp = 0.0
	if (x <= -1.3e+157)
		tmp = Float64(y * t_4);
	elseif (x <= -7.5e+100)
		tmp = Float64(j * Float64(x * t_1));
	elseif (x <= -1.2e+19)
		tmp = t_5;
	elseif (x <= -1.7e-100)
		tmp = Float64(y * Float64(t_4 + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (x <= -5.6e-156)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (x <= -1.7e-270)
		tmp = t_6;
	elseif (x <= 5.2e-276)
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	elseif (x <= 2.25e+56)
		tmp = Float64(y2 * Float64(Float64(k * t_2) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (x <= 6.4e+168)
		tmp = t_6;
	else
		tmp = t_5;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = (a * b) - (c * i);
	t_4 = x * t_3;
	t_5 = x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	t_6 = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2));
	tmp = 0.0;
	if (x <= -1.3e+157)
		tmp = y * t_4;
	elseif (x <= -7.5e+100)
		tmp = j * (x * t_1);
	elseif (x <= -1.2e+19)
		tmp = t_5;
	elseif (x <= -1.7e-100)
		tmp = y * (t_4 + (y3 * ((c * y4) - (a * y5))));
	elseif (x <= -5.6e-156)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (x <= -1.7e-270)
		tmp = t_6;
	elseif (x <= 5.2e-276)
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	elseif (x <= 2.25e+56)
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))));
	elseif (x <= 6.4e+168)
		tmp = t_6;
	else
		tmp = t_5;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(x * t$95$3), $MachinePrecision]}, Block[{t$95$5 = N[(x * N[(N[(N[(y * t$95$3), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.3e+157], N[(y * t$95$4), $MachinePrecision], If[LessEqual[x, -7.5e+100], N[(j * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.2e+19], t$95$5, If[LessEqual[x, -1.7e-100], N[(y * N[(t$95$4 + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.6e-156], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.7e-270], t$95$6, If[LessEqual[x, 5.2e-276], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.25e+56], N[(y2 * N[(N[(k * t$95$2), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.4e+168], t$95$6, t$95$5]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -1.30000000000000005e157

   1. Initial program 26.5%

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

   2. Taylor expanded in y around inf 54.8%

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

   3. Taylor expanded in x around inf 71.0%

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

   if -1.30000000000000005e157 < x < -7.49999999999999983e100

   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. Taylor expanded in j around inf 69.2%

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

   3. Taylor expanded in x around inf 69.3%

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

   if -7.49999999999999983e100 < x < -1.2e19 or 6.4000000000000002e168 < x

   1. Initial program 29.0%

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

   2. Taylor expanded in x around inf 71.4%

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

   if -1.2e19 < x < -1.69999999999999988e-100

   1. Initial program 27.1%

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

   2. Taylor expanded in y around inf 52.9%

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

   3. Taylor expanded in k around 0 48.4%

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

   if -1.69999999999999988e-100 < x < -5.6000000000000003e-156

   1. Initial program 32.2%

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

   2. Taylor expanded in y0 around inf 50.0%

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

   3. Taylor expanded in y5 around inf 51.3%

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

      1. mul-1-neg 51.3%

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

      2. distribute-rgt-neg-in 51.3%

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

      3. *-commutative 51.3%

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

      4. *-commutative 51.3%

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

      5. *-commutative 51.3%

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

      6. distribute-rgt-neg-in 51.3%

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

   5. Simplified 51.3%

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

   if -5.6000000000000003e-156 < x < -1.7e-270 or 2.2500000000000002e56 < x < 6.4000000000000002e168

   1. Initial program 36.8%

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

   2. Taylor expanded in y around inf 36.7%

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

   3. Taylor expanded in k around inf 58.1%

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

   if -1.7e-270 < x < 5.19999999999999969e-276

   1. Initial program 47.0%

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

   2. Taylor expanded in y around inf 47.3%

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

   3. Taylor expanded in j around inf 59.9%

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

      1. mul-1-neg 59.9%

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

      2. *-commutative 59.9%

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

      3. *-commutative 59.9%

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

      4. distribute-rgt-neg-in 59.9%

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

      5. *-commutative 59.9%

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

      6. distribute-rgt-neg-in 59.9%

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

      7. *-commutative 59.9%

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

      8. *-commutative 59.9%

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

   5. Simplified 59.9%

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

   if 5.19999999999999969e-276 < x < 2.2500000000000002e56

   1. Initial program 37.6%

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

   2. Taylor expanded in y around inf 44.5%

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

   3. Taylor expanded in y2 around inf 47.7%

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

      1. *-commutative 47.7%

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

      2. *-commutative 47.7%

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

   5. Simplified 47.7%

      \[\leadsto \color{blue}{y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - t \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 57.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.3 \cdot 10^{+157}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{+100}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{+19}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-100}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-156}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-270}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{-276}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2.25 \cdot 10^{+56}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 6.4 \cdot 10^{+168}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 7: 35.4% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_1\right)\right)\\ \mathbf{if}\;i \leq -2.5 \cdot 10^{+212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.9 \cdot 10^{+128}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t_1\right)\\ \mathbf{elif}\;i \leq -1.15 \cdot 10^{+33}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;i \leq -0.031:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-269}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 5.9 \cdot 10^{-168}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_1 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 0.000125:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.46 \cdot 10^{+125}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;i \leq 5 \cdot 10^{+230}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (- (* z (- (* a y1) (* c y0))) (* j t_1))))))
   (if (<= i -2.5e+212)
     t_2
     (if (<= i -2.9e+128)
       (* k (+ (* y (- (* i y5) (* b y4))) (* y2 t_1)))
       (if (<= i -1.15e+33)
         (*
          i
          (-
           (* y1 (- (* x j) (* z k)))
           (+ (* c (- (* x y) (* z t))) (* y5 (- (* t j) (* y k))))))
         (if (<= i -0.031)
           (* y0 (+ (* c (- (* x y2) (* z y3))) (* b (- (* z k) (* x j)))))
           (if (<= i -1.8e-269)
             t_2
             (if (<= i 5.9e-168)
               (* y2 (+ (* k t_1) (* t (- (* a y5) (* c y4)))))
               (if (<= i 0.000125)
                 t_2
                 (if (<= i 1.46e+125)
                   (* (* y y5) (- (* i k) (* a y3)))
                   (if (<= i 5e+230)
                     (* y1 (* y4 (- (* k y2) (* j y3))))
                     (* y (* i (- (* k y5) (* x c)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	double tmp;
	if (i <= -2.5e+212) {
		tmp = t_2;
	} else if (i <= -2.9e+128) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1));
	} else if (i <= -1.15e+33) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * ((t * j) - (y * k)))));
	} else if (i <= -0.031) {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	} else if (i <= -1.8e-269) {
		tmp = t_2;
	} else if (i <= 5.9e-168) {
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	} else if (i <= 0.000125) {
		tmp = t_2;
	} else if (i <= 1.46e+125) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (i <= 5e+230) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
    if (i <= (-2.5d+212)) then
        tmp = t_2
    else if (i <= (-2.9d+128)) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1))
    else if (i <= (-1.15d+33)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * ((t * j) - (y * k)))))
    else if (i <= (-0.031d0)) then
        tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
    else if (i <= (-1.8d-269)) then
        tmp = t_2
    else if (i <= 5.9d-168) then
        tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))))
    else if (i <= 0.000125d0) then
        tmp = t_2
    else if (i <= 1.46d+125) then
        tmp = (y * y5) * ((i * k) - (a * y3))
    else if (i <= 5d+230) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else
        tmp = y * (i * ((k * y5) - (x * c)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	double tmp;
	if (i <= -2.5e+212) {
		tmp = t_2;
	} else if (i <= -2.9e+128) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1));
	} else if (i <= -1.15e+33) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * ((t * j) - (y * k)))));
	} else if (i <= -0.031) {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	} else if (i <= -1.8e-269) {
		tmp = t_2;
	} else if (i <= 5.9e-168) {
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	} else if (i <= 0.000125) {
		tmp = t_2;
	} else if (i <= 1.46e+125) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (i <= 5e+230) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
	tmp = 0
	if i <= -2.5e+212:
		tmp = t_2
	elif i <= -2.9e+128:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1))
	elif i <= -1.15e+33:
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * ((t * j) - (y * k)))))
	elif i <= -0.031:
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
	elif i <= -1.8e-269:
		tmp = t_2
	elif i <= 5.9e-168:
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))))
	elif i <= 0.000125:
		tmp = t_2
	elif i <= 1.46e+125:
		tmp = (y * y5) * ((i * k) - (a * y3))
	elif i <= 5e+230:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	else:
		tmp = y * (i * ((k * y5) - (x * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_1))))
	tmp = 0.0
	if (i <= -2.5e+212)
		tmp = t_2;
	elseif (i <= -2.9e+128)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_1)));
	elseif (i <= -1.15e+33)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * j) - Float64(y * k))))));
	elseif (i <= -0.031)
		tmp = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (i <= -1.8e-269)
		tmp = t_2;
	elseif (i <= 5.9e-168)
		tmp = Float64(y2 * Float64(Float64(k * t_1) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (i <= 0.000125)
		tmp = t_2;
	elseif (i <= 1.46e+125)
		tmp = Float64(Float64(y * y5) * Float64(Float64(i * k) - Float64(a * y3)));
	elseif (i <= 5e+230)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	else
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	tmp = 0.0;
	if (i <= -2.5e+212)
		tmp = t_2;
	elseif (i <= -2.9e+128)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1));
	elseif (i <= -1.15e+33)
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * ((t * j) - (y * k)))));
	elseif (i <= -0.031)
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	elseif (i <= -1.8e-269)
		tmp = t_2;
	elseif (i <= 5.9e-168)
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	elseif (i <= 0.000125)
		tmp = t_2;
	elseif (i <= 1.46e+125)
		tmp = (y * y5) * ((i * k) - (a * y3));
	elseif (i <= 5e+230)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	else
		tmp = y * (i * ((k * y5) - (x * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -2.5e+212], t$95$2, If[LessEqual[i, -2.9e+128], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.15e+33], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -0.031], N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.8e-269], t$95$2, If[LessEqual[i, 5.9e-168], N[(y2 * N[(N[(k * t$95$1), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 0.000125], t$95$2, If[LessEqual[i, 1.46e+125], N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 5e+230], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if i < -2.49999999999999996e212 or -0.031 < i < -1.79999999999999999e-269 or 5.9000000000000002e-168 < i < 1.25e-4

   1. Initial program 37.5%

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

   2. Taylor expanded in y3 around -inf 57.3%

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

   if -2.49999999999999996e212 < i < -2.9e128

   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. Taylor expanded in y around inf 47.2%

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

   3. Taylor expanded in k around inf 63.9%

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

   if -2.9e128 < i < -1.15000000000000005e33

   1. Initial program 50.0%

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

   2. Taylor expanded in i around -inf 75.3%

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

   if -1.15000000000000005e33 < i < -0.031

   1. Initial program 33.3%

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

   2. Taylor expanded in y0 around inf 44.7%

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

   3. Taylor expanded in y5 around 0 78.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 78.0%

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

      2. *-commutative 78.0%

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

      3. *-commutative 78.0%

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

      4. *-commutative 78.0%

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

   5. Simplified 78.0%

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

   if -1.79999999999999999e-269 < i < 5.9000000000000002e-168

   1. Initial program 50.0%

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

   2. Taylor expanded in y around inf 39.0%

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

   3. Taylor expanded in y2 around inf 54.0%

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

      1. *-commutative 54.0%

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

      2. *-commutative 54.0%

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

   5. Simplified 54.0%

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

   if 1.25e-4 < i < 1.45999999999999999e125

   1. Initial program 12.8%

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

   2. Taylor expanded in y around inf 54.6%

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

   3. Taylor expanded in y5 around inf 59.4%

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

      1. associate-*r* 58.7%

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

      2. *-commutative 58.7%

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

      3. *-commutative 58.7%

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

      4. *-commutative 58.7%

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

   5. Simplified 58.7%

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

   if 1.45999999999999999e125 < i < 5.0000000000000003e230

   1. Initial program 40.0%

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

   2. Taylor expanded in y around inf 50.2%

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

   3. Taylor expanded in y1 around inf 50.6%

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

   if 5.0000000000000003e230 < i

   1. Initial program 7.0%

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

   2. Taylor expanded in y around inf 50.1%

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

   3. Taylor expanded in i around inf 58.3%

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

      1. +-commutative 58.3%

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

      2. mul-1-neg 58.3%

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

      3. unsub-neg 58.3%

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

   5. Simplified 58.3%

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

4. Final simplification 58.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -2.5 \cdot 10^{+212}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.9 \cdot 10^{+128}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -1.15 \cdot 10^{+33}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;i \leq -0.031:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-269}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;i \leq 5.9 \cdot 10^{-168}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 0.000125:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;i \leq 1.46 \cdot 10^{+125}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;i \leq 5 \cdot 10^{+230}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \]

Alternative 8: 39.5% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := j \cdot y3 - k \cdot y2\\ t_3 := t \cdot y2 - y \cdot y3\\ t_4 := y0 \cdot \left(\left(y5 \cdot t_2 + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;a \leq -2.5 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot t_1\right) + y5 \cdot t_3\right)\\ \mathbf{elif}\;a \leq -1.08 \cdot 10^{-45}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -7 \cdot 10^{-194}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot t_1 + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq -1.7 \cdot 10^{-301}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-131}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+130}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_3 + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot t_2\right)\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{+161}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+228}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (- (* j y3) (* k y2)))
        (t_3 (- (* t y2) (* y y3)))
        (t_4
         (*
          y0
          (+
           (+ (* y5 t_2) (* c (- (* x y2) (* z y3))))
           (* b (- (* z k) (* x j)))))))
   (if (<= a -2.5e+72)
     (* a (+ (+ (* y1 (- (* z y3) (* x y2))) (* b t_1)) (* y5 t_3)))
     (if (<= a -1.08e-45)
       t_4
       (if (<= a -7e-194)
         (*
          i
          (-
           (* y1 (- (* x j) (* z k)))
           (+ (* c t_1) (* y5 (- (* t j) (* y k))))))
         (if (<= a -1.7e-301)
           t_4
           (if (<= a 1.7e-131)
             (*
              k
              (+ (* y (- (* i y5) (* b y4))) (* y2 (- (* y1 y4) (* y0 y5)))))
             (if (<= a 5.8e+130)
               (* y5 (+ (* a t_3) (+ (* i (- (* y k) (* t j))) (* y0 t_2))))
               (if (<= a 6.5e+161)
                 t_4
                 (if (<= a 2.9e+228)
                   (* j (* x (- (* i y1) (* b y0))))
                   (* y (* x (- (* a b) (* c i))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (j * y3) - (k * y2);
	double t_3 = (t * y2) - (y * y3);
	double t_4 = y0 * (((y5 * t_2) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (a <= -2.5e+72) {
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_3));
	} else if (a <= -1.08e-45) {
		tmp = t_4;
	} else if (a <= -7e-194) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= -1.7e-301) {
		tmp = t_4;
	} else if (a <= 1.7e-131) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	} else if (a <= 5.8e+130) {
		tmp = y5 * ((a * t_3) + ((i * ((y * k) - (t * j))) + (y0 * t_2)));
	} else if (a <= 6.5e+161) {
		tmp = t_4;
	} else if (a <= 2.9e+228) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = y * (x * ((a * b) - (c * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = (j * y3) - (k * y2)
    t_3 = (t * y2) - (y * y3)
    t_4 = y0 * (((y5 * t_2) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    if (a <= (-2.5d+72)) then
        tmp = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_3))
    else if (a <= (-1.08d-45)) then
        tmp = t_4
    else if (a <= (-7d-194)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))))
    else if (a <= (-1.7d-301)) then
        tmp = t_4
    else if (a <= 1.7d-131) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))))
    else if (a <= 5.8d+130) then
        tmp = y5 * ((a * t_3) + ((i * ((y * k) - (t * j))) + (y0 * t_2)))
    else if (a <= 6.5d+161) then
        tmp = t_4
    else if (a <= 2.9d+228) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = y * (x * ((a * b) - (c * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (j * y3) - (k * y2);
	double t_3 = (t * y2) - (y * y3);
	double t_4 = y0 * (((y5 * t_2) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (a <= -2.5e+72) {
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_3));
	} else if (a <= -1.08e-45) {
		tmp = t_4;
	} else if (a <= -7e-194) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= -1.7e-301) {
		tmp = t_4;
	} else if (a <= 1.7e-131) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	} else if (a <= 5.8e+130) {
		tmp = y5 * ((a * t_3) + ((i * ((y * k) - (t * j))) + (y0 * t_2)));
	} else if (a <= 6.5e+161) {
		tmp = t_4;
	} else if (a <= 2.9e+228) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = y * (x * ((a * b) - (c * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = (j * y3) - (k * y2)
	t_3 = (t * y2) - (y * y3)
	t_4 = y0 * (((y5 * t_2) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	tmp = 0
	if a <= -2.5e+72:
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_3))
	elif a <= -1.08e-45:
		tmp = t_4
	elif a <= -7e-194:
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))))
	elif a <= -1.7e-301:
		tmp = t_4
	elif a <= 1.7e-131:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))))
	elif a <= 5.8e+130:
		tmp = y5 * ((a * t_3) + ((i * ((y * k) - (t * j))) + (y0 * t_2)))
	elif a <= 6.5e+161:
		tmp = t_4
	elif a <= 2.9e+228:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = y * (x * ((a * b) - (c * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(Float64(j * y3) - Float64(k * y2))
	t_3 = Float64(Float64(t * y2) - Float64(y * y3))
	t_4 = Float64(y0 * Float64(Float64(Float64(y5 * t_2) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (a <= -2.5e+72)
		tmp = Float64(a * Float64(Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(b * t_1)) + Float64(y5 * t_3)));
	elseif (a <= -1.08e-45)
		tmp = t_4;
	elseif (a <= -7e-194)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * t_1) + Float64(y5 * Float64(Float64(t * j) - Float64(y * k))))));
	elseif (a <= -1.7e-301)
		tmp = t_4;
	elseif (a <= 1.7e-131)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))));
	elseif (a <= 5.8e+130)
		tmp = Float64(y5 * Float64(Float64(a * t_3) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * t_2))));
	elseif (a <= 6.5e+161)
		tmp = t_4;
	elseif (a <= 2.9e+228)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = (j * y3) - (k * y2);
	t_3 = (t * y2) - (y * y3);
	t_4 = y0 * (((y5 * t_2) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (a <= -2.5e+72)
		tmp = a * (((y1 * ((z * y3) - (x * y2))) + (b * t_1)) + (y5 * t_3));
	elseif (a <= -1.08e-45)
		tmp = t_4;
	elseif (a <= -7e-194)
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_1) + (y5 * ((t * j) - (y * k)))));
	elseif (a <= -1.7e-301)
		tmp = t_4;
	elseif (a <= 1.7e-131)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5))));
	elseif (a <= 5.8e+130)
		tmp = y5 * ((a * t_3) + ((i * ((y * k) - (t * j))) + (y0 * t_2)));
	elseif (a <= 6.5e+161)
		tmp = t_4;
	elseif (a <= 2.9e+228)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = y * (x * ((a * b) - (c * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * N[(N[(N[(y5 * t$95$2), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.5e+72], N[(a * N[(N[(N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.08e-45], t$95$4, If[LessEqual[a, -7e-194], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.7e-301], t$95$4, If[LessEqual[a, 1.7e-131], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.8e+130], N[(y5 * N[(N[(a * t$95$3), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.5e+161], t$95$4, If[LessEqual[a, 2.9e+228], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -2.49999999999999996e72

   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. Taylor expanded in a around inf 66.5%

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

   if -2.49999999999999996e72 < a < -1.08e-45 or -7.0000000000000006e-194 < a < -1.7000000000000001e-301 or 5.7999999999999998e130 < a < 6.5e161

   1. Initial program 29.5%

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

   2. Taylor expanded in y0 around inf 68.3%

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

   if -1.08e-45 < a < -7.0000000000000006e-194

   1. Initial program 42.8%

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

   2. Taylor expanded in i around -inf 58.3%

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

   if -1.7000000000000001e-301 < a < 1.69999999999999998e-131

   1. Initial program 44.1%

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

   2. Taylor expanded in y around inf 49.0%

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

   3. Taylor expanded in k around inf 54.4%

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

   if 1.69999999999999998e-131 < a < 5.7999999999999998e130

   1. Initial program 32.0%

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

   2. Taylor expanded in y5 around -inf 53.8%

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

   if 6.5e161 < a < 2.90000000000000002e228

   1. Initial program 21.1%

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

   2. Taylor expanded in j around inf 42.5%

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

   3. Taylor expanded in x around inf 53.8%

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

   if 2.90000000000000002e228 < a

   1. Initial program 10.0%

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

   2. Taylor expanded in y around inf 40.3%

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

   3. Taylor expanded in x around inf 70.1%

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

4. Final simplification 60.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.5 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(\left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + b \cdot \left(x \cdot y - z \cdot t\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -1.08 \cdot 10^{-45}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -7 \cdot 10^{-194}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq -1.7 \cdot 10^{-301}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-131}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+130}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{+161}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+228}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 9: 37.8% accurate, 2.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := t \cdot j - y \cdot k\\ t_3 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_4 := y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;i \leq -2 \cdot 10^{+33}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot t_2\right)\right)\\ \mathbf{elif}\;i \leq -2 \cdot 10^{-55}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.25 \cdot 10^{-224}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -4 \cdot 10^{-283}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_2 + y1 \cdot t_1\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 3.8 \cdot 10^{-176}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.6 \cdot 10^{-37}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{+139}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;i \leq 5.4 \cdot 10^{+230}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (- (* t j) (* y k)))
        (t_3
         (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* t (- (* a y5) (* c y4))))))
        (t_4 (* y0 (+ (* c (- (* x y2) (* z y3))) (* b (- (* z k) (* x j)))))))
   (if (<= i -2e+33)
     (*
      i
      (- (* y1 (- (* x j) (* z k))) (+ (* c (- (* x y) (* z t))) (* y5 t_2))))
     (if (<= i -2e-55)
       t_4
       (if (<= i -1.25e-224)
         t_3
         (if (<= i -4e-283)
           (* y4 (+ (+ (* b t_2) (* y1 t_1)) (* c (- (* y y3) (* t y2)))))
           (if (<= i 3.8e-176)
             t_3
             (if (<= i 1.6e-37)
               t_4
               (if (<= i 1.5e+139)
                 (* (* y y5) (- (* i k) (* a y3)))
                 (if (<= i 5.4e+230)
                   (* y1 (* y4 t_1))
                   (* y (* i (- (* k y5) (* x c))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (k * y2) - (j * y3);
	double t_2 = (t * j) - (y * k);
	double t_3 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	double t_4 = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (i <= -2e+33) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * t_2)));
	} else if (i <= -2e-55) {
		tmp = t_4;
	} else if (i <= -1.25e-224) {
		tmp = t_3;
	} else if (i <= -4e-283) {
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (i <= 3.8e-176) {
		tmp = t_3;
	} else if (i <= 1.6e-37) {
		tmp = t_4;
	} else if (i <= 1.5e+139) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (i <= 5.4e+230) {
		tmp = y1 * (y4 * t_1);
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (k * y2) - (j * y3)
    t_2 = (t * j) - (y * k)
    t_3 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))))
    t_4 = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
    if (i <= (-2d+33)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * t_2)))
    else if (i <= (-2d-55)) then
        tmp = t_4
    else if (i <= (-1.25d-224)) then
        tmp = t_3
    else if (i <= (-4d-283)) then
        tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
    else if (i <= 3.8d-176) then
        tmp = t_3
    else if (i <= 1.6d-37) then
        tmp = t_4
    else if (i <= 1.5d+139) then
        tmp = (y * y5) * ((i * k) - (a * y3))
    else if (i <= 5.4d+230) then
        tmp = y1 * (y4 * t_1)
    else
        tmp = y * (i * ((k * y5) - (x * c)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (k * y2) - (j * y3);
	double t_2 = (t * j) - (y * k);
	double t_3 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	double t_4 = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (i <= -2e+33) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * t_2)));
	} else if (i <= -2e-55) {
		tmp = t_4;
	} else if (i <= -1.25e-224) {
		tmp = t_3;
	} else if (i <= -4e-283) {
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (i <= 3.8e-176) {
		tmp = t_3;
	} else if (i <= 1.6e-37) {
		tmp = t_4;
	} else if (i <= 1.5e+139) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (i <= 5.4e+230) {
		tmp = y1 * (y4 * t_1);
	} else {
		tmp = y * (i * ((k * y5) - (x * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y2) - (j * y3)
	t_2 = (t * j) - (y * k)
	t_3 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))))
	t_4 = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
	tmp = 0
	if i <= -2e+33:
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * t_2)))
	elif i <= -2e-55:
		tmp = t_4
	elif i <= -1.25e-224:
		tmp = t_3
	elif i <= -4e-283:
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
	elif i <= 3.8e-176:
		tmp = t_3
	elif i <= 1.6e-37:
		tmp = t_4
	elif i <= 1.5e+139:
		tmp = (y * y5) * ((i * k) - (a * y3))
	elif i <= 5.4e+230:
		tmp = y1 * (y4 * t_1)
	else:
		tmp = y * (i * ((k * y5) - (x * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(k * y2) - Float64(j * y3))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	t_4 = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (i <= -2e+33)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * t_2))));
	elseif (i <= -2e-55)
		tmp = t_4;
	elseif (i <= -1.25e-224)
		tmp = t_3;
	elseif (i <= -4e-283)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_2) + Float64(y1 * t_1)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (i <= 3.8e-176)
		tmp = t_3;
	elseif (i <= 1.6e-37)
		tmp = t_4;
	elseif (i <= 1.5e+139)
		tmp = Float64(Float64(y * y5) * Float64(Float64(i * k) - Float64(a * y3)));
	elseif (i <= 5.4e+230)
		tmp = Float64(y1 * Float64(y4 * t_1));
	else
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (k * y2) - (j * y3);
	t_2 = (t * j) - (y * k);
	t_3 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	t_4 = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (i <= -2e+33)
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * ((x * y) - (z * t))) + (y5 * t_2)));
	elseif (i <= -2e-55)
		tmp = t_4;
	elseif (i <= -1.25e-224)
		tmp = t_3;
	elseif (i <= -4e-283)
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	elseif (i <= 3.8e-176)
		tmp = t_3;
	elseif (i <= 1.6e-37)
		tmp = t_4;
	elseif (i <= 1.5e+139)
		tmp = (y * y5) * ((i * k) - (a * y3));
	elseif (i <= 5.4e+230)
		tmp = y1 * (y4 * t_1);
	else
		tmp = y * (i * ((k * y5) - (x * c)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -2e+33], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -2e-55], t$95$4, If[LessEqual[i, -1.25e-224], t$95$3, If[LessEqual[i, -4e-283], N[(y4 * N[(N[(N[(b * t$95$2), $MachinePrecision] + N[(y1 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.8e-176], t$95$3, If[LessEqual[i, 1.6e-37], t$95$4, If[LessEqual[i, 1.5e+139], N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 5.4e+230], N[(y1 * N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if i < -1.9999999999999999e33

   1. Initial program 32.2%

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

   2. Taylor expanded in i around -inf 55.8%

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

   if -1.9999999999999999e33 < i < -1.99999999999999999e-55 or 3.80000000000000012e-176 < i < 1.5999999999999999e-37

   1. Initial program 39.4%

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

   2. Taylor expanded in y0 around inf 63.0%

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

   3. Taylor expanded in y5 around 0 55.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 55.1%

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

      2. *-commutative 55.1%

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

      3. *-commutative 55.1%

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

      4. *-commutative 55.1%

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

   5. Simplified 55.1%

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

   if -1.99999999999999999e-55 < i < -1.25e-224 or -3.99999999999999979e-283 < i < 3.80000000000000012e-176

   1. Initial program 39.0%

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

   2. Taylor expanded in y around inf 44.5%

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

   3. Taylor expanded in y2 around inf 55.4%

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

      1. *-commutative 55.4%

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

      2. *-commutative 55.4%

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

   5. Simplified 55.4%

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

   if -1.25e-224 < i < -3.99999999999999979e-283

   1. Initial program 64.3%

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

   2. Taylor expanded in y4 around inf 64.6%

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

   if 1.5999999999999999e-37 < i < 1.5e139

   1. Initial program 14.9%

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

   2. Taylor expanded in y around inf 52.6%

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

   3. Taylor expanded in y5 around inf 56.8%

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

      1. associate-*r* 56.2%

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

      2. *-commutative 56.2%

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

      3. *-commutative 56.2%

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

      4. *-commutative 56.2%

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

   5. Simplified 56.2%

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

   if 1.5e139 < i < 5.40000000000000006e230

   1. Initial program 40.0%

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

   2. Taylor expanded in y around inf 50.2%

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

   3. Taylor expanded in y1 around inf 50.6%

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

   if 5.40000000000000006e230 < i

   1. Initial program 7.0%

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

   2. Taylor expanded in y around inf 50.1%

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

   3. Taylor expanded in i around inf 58.3%

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

      1. +-commutative 58.3%

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

      2. mul-1-neg 58.3%

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

      3. unsub-neg 58.3%

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

   5. Simplified 58.3%

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

4. Final simplification 55.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -2 \cdot 10^{+33}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;i \leq -2 \cdot 10^{-55}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -1.25 \cdot 10^{-224}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -4 \cdot 10^{-283}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 3.8 \cdot 10^{-176}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 1.6 \cdot 10^{-37}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{+139}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;i \leq 5.4 \cdot 10^{+230}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \]

Alternative 10: 34.0% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;x \leq -1 \cdot 10^{+158}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -7.8:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -4.3 \cdot 10^{-101}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -6.6 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{+98}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* t (- (* a y5) (* c y4)))))))
   (if (<= x -1e+158)
     (* y (* x (- (* a b) (* c i))))
     (if (<= x -7.8)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= x -4.3e-101)
         (* (* y y5) (- (* i k) (* a y3)))
         (if (<= x -8.5e-142)
           (* y0 (* y5 (- (* j y3) (* k y2))))
           (if (<= x -6.6e-262)
             t_1
             (if (<= x 2e-275)
               (* j (* y3 (- (* y0 y5) (* y1 y4))))
               (if (<= x 1.9e+98)
                 t_1
                 (*
                  y0
                  (+
                   (* c (- (* x y2) (* z y3)))
                   (* b (- (* z k) (* x j))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (x <= -1e+158) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (x <= -7.8) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (x <= -4.3e-101) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (x <= -8.5e-142) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -6.6e-262) {
		tmp = t_1;
	} else if (x <= 2e-275) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 1.9e+98) {
		tmp = t_1;
	} else {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))))
    if (x <= (-1d+158)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (x <= (-7.8d0)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (x <= (-4.3d-101)) then
        tmp = (y * y5) * ((i * k) - (a * y3))
    else if (x <= (-8.5d-142)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (x <= (-6.6d-262)) then
        tmp = t_1
    else if (x <= 2d-275) then
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    else if (x <= 1.9d+98) then
        tmp = t_1
    else
        tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (x <= -1e+158) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (x <= -7.8) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (x <= -4.3e-101) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (x <= -8.5e-142) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -6.6e-262) {
		tmp = t_1;
	} else if (x <= 2e-275) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 1.9e+98) {
		tmp = t_1;
	} else {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if x <= -1e+158:
		tmp = y * (x * ((a * b) - (c * i)))
	elif x <= -7.8:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif x <= -4.3e-101:
		tmp = (y * y5) * ((i * k) - (a * y3))
	elif x <= -8.5e-142:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif x <= -6.6e-262:
		tmp = t_1
	elif x <= 2e-275:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	elif x <= 1.9e+98:
		tmp = t_1
	else:
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (x <= -1e+158)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (x <= -7.8)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (x <= -4.3e-101)
		tmp = Float64(Float64(y * y5) * Float64(Float64(i * k) - Float64(a * y3)));
	elseif (x <= -8.5e-142)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (x <= -6.6e-262)
		tmp = t_1;
	elseif (x <= 2e-275)
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	elseif (x <= 1.9e+98)
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (x <= -1e+158)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (x <= -7.8)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (x <= -4.3e-101)
		tmp = (y * y5) * ((i * k) - (a * y3));
	elseif (x <= -8.5e-142)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (x <= -6.6e-262)
		tmp = t_1;
	elseif (x <= 2e-275)
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	elseif (x <= 1.9e+98)
		tmp = t_1;
	else
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1e+158], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -7.8], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -4.3e-101], N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -8.5e-142], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -6.6e-262], t$95$1, If[LessEqual[x, 2e-275], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.9e+98], t$95$1, N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if x < -9.99999999999999953e157

   1. Initial program 26.5%

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

   2. Taylor expanded in y around inf 54.8%

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

   3. Taylor expanded in x around inf 71.0%

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

   if -9.99999999999999953e157 < x < -7.79999999999999982

   1. Initial program 37.0%

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

   2. Taylor expanded in j around inf 51.9%

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

   3. Taylor expanded in x around inf 56.3%

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

   if -7.79999999999999982 < x < -4.2999999999999997e-101

   1. Initial program 22.5%

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

   2. Taylor expanded in y around inf 50.3%

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

   3. Taylor expanded in y5 around inf 44.5%

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

      1. associate-*r* 51.4%

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

      2. *-commutative 51.4%

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

      3. *-commutative 51.4%

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

      4. *-commutative 51.4%

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

   5. Simplified 51.4%

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

   if -4.2999999999999997e-101 < x < -8.4999999999999996e-142

   1. Initial program 32.1%

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

   2. Taylor expanded in y0 around inf 46.2%

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

   3. Taylor expanded in y5 around inf 62.0%

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

      1. mul-1-neg 62.0%

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

      2. distribute-rgt-neg-in 62.0%

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

      3. *-commutative 62.0%

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

      4. *-commutative 62.0%

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

      5. *-commutative 62.0%

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

      6. distribute-rgt-neg-in 62.0%

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

   5. Simplified 62.0%

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

   if -8.4999999999999996e-142 < x < -6.6000000000000005e-262 or 1.99999999999999987e-275 < x < 1.89999999999999995e98

   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. Taylor expanded in y around inf 43.6%

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

   3. Taylor expanded in y2 around inf 47.8%

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

      1. *-commutative 47.8%

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

      2. *-commutative 47.8%

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

   5. Simplified 47.8%

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

   if -6.6000000000000005e-262 < x < 1.99999999999999987e-275

   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. Taylor expanded in y around inf 45.2%

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

   3. Taylor expanded in j around inf 56.0%

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

      1. mul-1-neg 56.0%

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

      2. *-commutative 56.0%

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

      3. *-commutative 56.0%

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

      4. distribute-rgt-neg-in 56.0%

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

      5. *-commutative 56.0%

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

      6. distribute-rgt-neg-in 56.0%

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

      7. *-commutative 56.0%

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

      8. *-commutative 56.0%

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

   5. Simplified 56.0%

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

   if 1.89999999999999995e98 < x

   1. Initial program 22.5%

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

   2. Taylor expanded in y0 around inf 43.1%

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

   3. Taylor expanded in y5 around 0 50.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.4%

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

      2. *-commutative 50.4%

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

      3. *-commutative 50.4%

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

      4. *-commutative 50.4%

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

   5. Simplified 50.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 53.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1 \cdot 10^{+158}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -7.8:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -4.3 \cdot 10^{-101}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -6.6 \cdot 10^{-262}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{+98}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 11: 33.8% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;x \leq -4.2 \cdot 10^{+159}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -14:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -3.7 \cdot 10^{-101}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;x \leq -9 \cdot 10^{-142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.12 \cdot 10^{-271}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t_1\right)\\ \mathbf{elif}\;x \leq 10^{-278}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{+99}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_1 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5))))
   (if (<= x -4.2e+159)
     (* y (* x (- (* a b) (* c i))))
     (if (<= x -14.0)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= x -3.7e-101)
         (* (* y y5) (- (* i k) (* a y3)))
         (if (<= x -9e-142)
           (* y0 (* y5 (- (* j y3) (* k y2))))
           (if (<= x -1.12e-271)
             (* k (+ (* y (- (* i y5) (* b y4))) (* y2 t_1)))
             (if (<= x 1e-278)
               (* j (* y3 (- (* y0 y5) (* y1 y4))))
               (if (<= x 4.1e+99)
                 (* y2 (+ (* k t_1) (* t (- (* a y5) (* c y4)))))
                 (*
                  y0
                  (+
                   (* c (- (* x y2) (* z y3)))
                   (* b (- (* z k) (* x j))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (x <= -4.2e+159) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (x <= -14.0) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (x <= -3.7e-101) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (x <= -9e-142) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -1.12e-271) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1));
	} else if (x <= 1e-278) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 4.1e+99) {
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	} else {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    if (x <= (-4.2d+159)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (x <= (-14.0d0)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (x <= (-3.7d-101)) then
        tmp = (y * y5) * ((i * k) - (a * y3))
    else if (x <= (-9d-142)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (x <= (-1.12d-271)) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1))
    else if (x <= 1d-278) then
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    else if (x <= 4.1d+99) then
        tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))))
    else
        tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (x <= -4.2e+159) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (x <= -14.0) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (x <= -3.7e-101) {
		tmp = (y * y5) * ((i * k) - (a * y3));
	} else if (x <= -9e-142) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -1.12e-271) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1));
	} else if (x <= 1e-278) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 4.1e+99) {
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	} else {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	}
	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)
	tmp = 0
	if x <= -4.2e+159:
		tmp = y * (x * ((a * b) - (c * i)))
	elif x <= -14.0:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif x <= -3.7e-101:
		tmp = (y * y5) * ((i * k) - (a * y3))
	elif x <= -9e-142:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif x <= -1.12e-271:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1))
	elif x <= 1e-278:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	elif x <= 4.1e+99:
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))))
	else:
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
	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))
	tmp = 0.0
	if (x <= -4.2e+159)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (x <= -14.0)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (x <= -3.7e-101)
		tmp = Float64(Float64(y * y5) * Float64(Float64(i * k) - Float64(a * y3)));
	elseif (x <= -9e-142)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (x <= -1.12e-271)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_1)));
	elseif (x <= 1e-278)
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	elseif (x <= 4.1e+99)
		tmp = Float64(y2 * Float64(Float64(k * t_1) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	else
		tmp = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (x <= -4.2e+159)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (x <= -14.0)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (x <= -3.7e-101)
		tmp = (y * y5) * ((i * k) - (a * y3));
	elseif (x <= -9e-142)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (x <= -1.12e-271)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_1));
	elseif (x <= 1e-278)
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	elseif (x <= 4.1e+99)
		tmp = y2 * ((k * t_1) + (t * ((a * y5) - (c * y4))));
	else
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	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]}, If[LessEqual[x, -4.2e+159], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -14.0], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.7e-101], N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -9e-142], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.12e-271], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1e-278], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.1e+99], N[(y2 * N[(N[(k * t$95$1), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -4.19999999999999978e159

   1. Initial program 26.5%

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

   2. Taylor expanded in y around inf 54.8%

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

   3. Taylor expanded in x around inf 71.0%

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

   if -4.19999999999999978e159 < x < -14

   1. Initial program 37.0%

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

   2. Taylor expanded in j around inf 51.9%

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

   3. Taylor expanded in x around inf 56.3%

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

   if -14 < x < -3.70000000000000005e-101

   1. Initial program 22.5%

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

   2. Taylor expanded in y around inf 50.3%

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

   3. Taylor expanded in y5 around inf 44.5%

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

      1. associate-*r* 51.4%

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

      2. *-commutative 51.4%

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

      3. *-commutative 51.4%

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

      4. *-commutative 51.4%

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

   5. Simplified 51.4%

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

   if -3.70000000000000005e-101 < x < -9.00000000000000037e-142

   1. Initial program 32.1%

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

   2. Taylor expanded in y0 around inf 46.2%

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

   3. Taylor expanded in y5 around inf 62.0%

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

      1. mul-1-neg 62.0%

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

      2. distribute-rgt-neg-in 62.0%

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

      3. *-commutative 62.0%

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

      4. *-commutative 62.0%

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

      5. *-commutative 62.0%

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

      6. distribute-rgt-neg-in 62.0%

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

   5. Simplified 62.0%

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

   if -9.00000000000000037e-142 < x < -1.11999999999999997e-271

   1. Initial program 35.1%

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

   2. Taylor expanded in y around inf 34.9%

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

   3. Taylor expanded in k around inf 43.2%

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

   if -1.11999999999999997e-271 < x < 9.99999999999999938e-279

   1. Initial program 47.0%

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

   2. Taylor expanded in y around inf 47.3%

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

   3. Taylor expanded in j around inf 59.9%

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

      1. mul-1-neg 59.9%

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

      2. *-commutative 59.9%

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

      3. *-commutative 59.9%

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

      4. distribute-rgt-neg-in 59.9%

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

      5. *-commutative 59.9%

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

      6. distribute-rgt-neg-in 59.9%

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

      7. *-commutative 59.9%

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

      8. *-commutative 59.9%

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

   5. Simplified 59.9%

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

   if 9.99999999999999938e-279 < x < 4.09999999999999979e99

   1. Initial program 42.0%

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

   2. Taylor expanded in y around inf 45.8%

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

   3. Taylor expanded in y2 around inf 49.9%

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

      1. *-commutative 49.9%

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

      2. *-commutative 49.9%

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

   5. Simplified 49.9%

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

   if 4.09999999999999979e99 < x

   1. Initial program 22.5%

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

   2. Taylor expanded in y0 around inf 43.1%

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

   3. Taylor expanded in y5 around 0 50.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.4%

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

      2. *-commutative 50.4%

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

      3. *-commutative 50.4%

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

      4. *-commutative 50.4%

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

   5. Simplified 50.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 53.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4.2 \cdot 10^{+159}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -14:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -3.7 \cdot 10^{-101}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \mathbf{elif}\;x \leq -9 \cdot 10^{-142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.12 \cdot 10^{-271}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 10^{-278}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{+99}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 12: 34.3% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(a \cdot b - c \cdot i\right)\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;x \leq -1.9 \cdot 10^{+158}:\\ \;\;\;\;y \cdot t_1\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{+21}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -7 \cdot 10^{-102}:\\ \;\;\;\;y \cdot \left(t_1 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -3 \cdot 10^{-142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -5.3 \cdot 10^{-272}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t_2\right)\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{-278}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{+99}:\\ \;\;\;\;y2 \cdot \left(k \cdot t_2 + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (- (* a b) (* c i)))) (t_2 (- (* y1 y4) (* y0 y5))))
   (if (<= x -1.9e+158)
     (* y t_1)
     (if (<= x -1.2e+21)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= x -7e-102)
         (* y (+ t_1 (* y3 (- (* c y4) (* a y5)))))
         (if (<= x -3e-142)
           (* y0 (* y5 (- (* j y3) (* k y2))))
           (if (<= x -5.3e-272)
             (* k (+ (* y (- (* i y5) (* b y4))) (* y2 t_2)))
             (if (<= x 1.08e-278)
               (* j (* y3 (- (* y0 y5) (* y1 y4))))
               (if (<= x 1.25e+99)
                 (* y2 (+ (* k t_2) (* t (- (* a y5) (* c y4)))))
                 (*
                  y0
                  (+
                   (* c (- (* x y2) (* z y3)))
                   (* b (- (* z k) (* x j))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * ((a * b) - (c * i));
	double t_2 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (x <= -1.9e+158) {
		tmp = y * t_1;
	} else if (x <= -1.2e+21) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (x <= -7e-102) {
		tmp = y * (t_1 + (y3 * ((c * y4) - (a * y5))));
	} else if (x <= -3e-142) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -5.3e-272) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2));
	} else if (x <= 1.08e-278) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 1.25e+99) {
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))));
	} else {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * ((a * b) - (c * i))
    t_2 = (y1 * y4) - (y0 * y5)
    if (x <= (-1.9d+158)) then
        tmp = y * t_1
    else if (x <= (-1.2d+21)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (x <= (-7d-102)) then
        tmp = y * (t_1 + (y3 * ((c * y4) - (a * y5))))
    else if (x <= (-3d-142)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (x <= (-5.3d-272)) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2))
    else if (x <= 1.08d-278) then
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    else if (x <= 1.25d+99) then
        tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))))
    else
        tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * ((a * b) - (c * i));
	double t_2 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (x <= -1.9e+158) {
		tmp = y * t_1;
	} else if (x <= -1.2e+21) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (x <= -7e-102) {
		tmp = y * (t_1 + (y3 * ((c * y4) - (a * y5))));
	} else if (x <= -3e-142) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (x <= -5.3e-272) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2));
	} else if (x <= 1.08e-278) {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	} else if (x <= 1.25e+99) {
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))));
	} else {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	}
	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 * b) - (c * i))
	t_2 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if x <= -1.9e+158:
		tmp = y * t_1
	elif x <= -1.2e+21:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif x <= -7e-102:
		tmp = y * (t_1 + (y3 * ((c * y4) - (a * y5))))
	elif x <= -3e-142:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif x <= -5.3e-272:
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2))
	elif x <= 1.08e-278:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	elif x <= 1.25e+99:
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))))
	else:
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
	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(Float64(a * b) - Float64(c * i)))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (x <= -1.9e+158)
		tmp = Float64(y * t_1);
	elseif (x <= -1.2e+21)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (x <= -7e-102)
		tmp = Float64(y * Float64(t_1 + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (x <= -3e-142)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (x <= -5.3e-272)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_2)));
	elseif (x <= 1.08e-278)
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	elseif (x <= 1.25e+99)
		tmp = Float64(y2 * Float64(Float64(k * t_2) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	else
		tmp = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * ((a * b) - (c * i));
	t_2 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (x <= -1.9e+158)
		tmp = y * t_1;
	elseif (x <= -1.2e+21)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (x <= -7e-102)
		tmp = y * (t_1 + (y3 * ((c * y4) - (a * y5))));
	elseif (x <= -3e-142)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (x <= -5.3e-272)
		tmp = k * ((y * ((i * y5) - (b * y4))) + (y2 * t_2));
	elseif (x <= 1.08e-278)
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	elseif (x <= 1.25e+99)
		tmp = y2 * ((k * t_2) + (t * ((a * y5) - (c * y4))));
	else
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	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[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.9e+158], N[(y * t$95$1), $MachinePrecision], If[LessEqual[x, -1.2e+21], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -7e-102], N[(y * N[(t$95$1 + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3e-142], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.3e-272], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.08e-278], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.25e+99], N[(y2 * N[(N[(k * t$95$2), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -1.8999999999999999e158

   1. Initial program 26.5%

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

   2. Taylor expanded in y around inf 54.8%

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

   3. Taylor expanded in x around inf 71.0%

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

   if -1.8999999999999999e158 < x < -1.2e21

   1. Initial program 36.4%

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

   2. Taylor expanded in j around inf 63.7%

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

   3. Taylor expanded in x around inf 64.1%

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

   if -1.2e21 < x < -6.99999999999999973e-102

   1. Initial program 27.1%

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

   2. Taylor expanded in y around inf 52.9%

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

   3. Taylor expanded in k around 0 48.4%

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

   if -6.99999999999999973e-102 < x < -3.0000000000000001e-142

   1. Initial program 29.8%

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

   2. Taylor expanded in y0 around inf 42.9%

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

   3. Taylor expanded in y5 around inf 58.1%

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

      1. mul-1-neg 58.1%

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

      2. distribute-rgt-neg-in 58.1%

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

      3. *-commutative 58.1%

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

      4. *-commutative 58.1%

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

      5. *-commutative 58.1%

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

      6. distribute-rgt-neg-in 58.1%

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

   5. Simplified 58.1%

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

   if -3.0000000000000001e-142 < x < -5.3e-272

   1. Initial program 36.5%

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

   2. Taylor expanded in y around inf 32.3%

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

   3. Taylor expanded in k around inf 44.7%

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

   if -5.3e-272 < x < 1.0800000000000001e-278

   1. Initial program 47.0%

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

   2. Taylor expanded in y around inf 47.3%

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

   3. Taylor expanded in j around inf 59.9%

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

      1. mul-1-neg 59.9%

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

      2. *-commutative 59.9%

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

      3. *-commutative 59.9%

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

      4. distribute-rgt-neg-in 59.9%

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

      5. *-commutative 59.9%

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

      6. distribute-rgt-neg-in 59.9%

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

      7. *-commutative 59.9%

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

      8. *-commutative 59.9%

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

   5. Simplified 59.9%

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

   if 1.0800000000000001e-278 < x < 1.25000000000000002e99

   1. Initial program 42.0%

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

   2. Taylor expanded in y around inf 45.8%

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

   3. Taylor expanded in y2 around inf 49.9%

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

      1. *-commutative 49.9%

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

      2. *-commutative 49.9%

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

   5. Simplified 49.9%

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

   if 1.25000000000000002e99 < x

   1. Initial program 22.5%

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

   2. Taylor expanded in y0 around inf 43.1%

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

   3. Taylor expanded in y5 around 0 50.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.4%

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

      2. *-commutative 50.4%

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

      3. *-commutative 50.4%

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

      4. *-commutative 50.4%

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

   5. Simplified 50.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 54.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.9 \cdot 10^{+158}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{+21}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -7 \cdot 10^{-102}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -3 \cdot 10^{-142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -5.3 \cdot 10^{-272}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{-278}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{+99}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 13: 30.5% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -6.1 \cdot 10^{+152}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.5 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -7.4 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{-288}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 3.05 \cdot 10^{-229}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 2 \cdot 10^{+53}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{+169}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 3.1 \cdot 10^{+264}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 1.078 \cdot 10^{+280}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* y3 (- (* c y4) (* a y5))))))
   (if (<= y5 -6.1e+152)
     (* y0 (* y2 (- (* x c) (* k y5))))
     (if (<= y5 -1.5e+24)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= y5 -7.4e-181)
         t_1
         (if (<= y5 8.5e-288)
           (* y (* x (- (* a b) (* c i))))
           (if (<= y5 3.05e-229)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y5 2e+53)
               (* y0 (+ (* c (- (* x y2) (* z y3))) (* b (- (* z k) (* x j)))))
               (if (<= y5 2.5e+169)
                 (* y0 (* y5 (- (* j y3) (* k y2))))
                 (if (<= y5 3.1e+264)
                   t_1
                   (if (<= y5 1.078e+280)
                     (* (* z y3) (- (* a y1) (* c y0)))
                     (* (* 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 = y * (y3 * ((c * y4) - (a * y5)));
	double tmp;
	if (y5 <= -6.1e+152) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= -1.5e+24) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= -7.4e-181) {
		tmp = t_1;
	} else if (y5 <= 8.5e-288) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y5 <= 3.05e-229) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y5 <= 2e+53) {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	} else if (y5 <= 2.5e+169) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y5 <= 3.1e+264) {
		tmp = t_1;
	} else if (y5 <= 1.078e+280) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} 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 = y * (y3 * ((c * y4) - (a * y5)))
    if (y5 <= (-6.1d+152)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y5 <= (-1.5d+24)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y5 <= (-7.4d-181)) then
        tmp = t_1
    else if (y5 <= 8.5d-288) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y5 <= 3.05d-229) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y5 <= 2d+53) then
        tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
    else if (y5 <= 2.5d+169) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y5 <= 3.1d+264) then
        tmp = t_1
    else if (y5 <= 1.078d+280) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    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 = y * (y3 * ((c * y4) - (a * y5)));
	double tmp;
	if (y5 <= -6.1e+152) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= -1.5e+24) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= -7.4e-181) {
		tmp = t_1;
	} else if (y5 <= 8.5e-288) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y5 <= 3.05e-229) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y5 <= 2e+53) {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	} else if (y5 <= 2.5e+169) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y5 <= 3.1e+264) {
		tmp = t_1;
	} else if (y5 <= 1.078e+280) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} 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 = y * (y3 * ((c * y4) - (a * y5)))
	tmp = 0
	if y5 <= -6.1e+152:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y5 <= -1.5e+24:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y5 <= -7.4e-181:
		tmp = t_1
	elif y5 <= 8.5e-288:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y5 <= 3.05e-229:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y5 <= 2e+53:
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))))
	elif y5 <= 2.5e+169:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y5 <= 3.1e+264:
		tmp = t_1
	elif y5 <= 1.078e+280:
		tmp = (z * y3) * ((a * y1) - (c * y0))
	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(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))
	tmp = 0.0
	if (y5 <= -6.1e+152)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y5 <= -1.5e+24)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y5 <= -7.4e-181)
		tmp = t_1;
	elseif (y5 <= 8.5e-288)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y5 <= 3.05e-229)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y5 <= 2e+53)
		tmp = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y5 <= 2.5e+169)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y5 <= 3.1e+264)
		tmp = t_1;
	elseif (y5 <= 1.078e+280)
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	else
		tmp = Float64(Float64(y * 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 = y * (y3 * ((c * y4) - (a * y5)));
	tmp = 0.0;
	if (y5 <= -6.1e+152)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y5 <= -1.5e+24)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y5 <= -7.4e-181)
		tmp = t_1;
	elseif (y5 <= 8.5e-288)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y5 <= 3.05e-229)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y5 <= 2e+53)
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + (b * ((z * k) - (x * j))));
	elseif (y5 <= 2.5e+169)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y5 <= 3.1e+264)
		tmp = t_1;
	elseif (y5 <= 1.078e+280)
		tmp = (z * y3) * ((a * y1) - (c * y0));
	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[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -6.1e+152], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.5e+24], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7.4e-181], t$95$1, If[LessEqual[y5, 8.5e-288], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.05e-229], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2e+53], N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.5e+169], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.1e+264], t$95$1, If[LessEqual[y5, 1.078e+280], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y5 < -6.10000000000000035e152

   1. Initial program 38.9%

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

   2. Taylor expanded in y0 around inf 34.1%

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

   3. Taylor expanded in y2 around inf 59.3%

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

      1. +-commutative 59.3%

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

      2. mul-1-neg 59.3%

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

      3. unsub-neg 59.3%

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

   5. Simplified 59.3%

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

   if -6.10000000000000035e152 < y5 < -1.49999999999999997e24

   1. Initial program 40.9%

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

   2. Taylor expanded in b around inf 32.1%

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

   3. Taylor expanded in x around inf 42.2%

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

   if -1.49999999999999997e24 < y5 < -7.39999999999999968e-181 or 2.50000000000000009e169 < y5 < 3.09999999999999981e264

   1. Initial program 31.4%

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

   2. Taylor expanded in y around inf 57.4%

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

   3. Taylor expanded in y3 around inf 50.2%

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

      1. *-commutative 50.2%

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

      2. *-commutative 50.2%

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

   5. Simplified 50.2%

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

   if -7.39999999999999968e-181 < y5 < 8.4999999999999997e-288

   1. Initial program 40.4%

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

   2. Taylor expanded in y around inf 44.2%

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

   3. Taylor expanded in x around inf 54.5%

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

   if 8.4999999999999997e-288 < y5 < 3.0499999999999999e-229

   1. Initial program 27.2%

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

   2. Taylor expanded in b around inf 27.8%

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

   3. Taylor expanded in a around inf 61.3%

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

   if 3.0499999999999999e-229 < y5 < 2e53

   1. Initial program 43.0%

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

   2. Taylor expanded in y0 around inf 52.7%

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

   3. Taylor expanded in y5 around 0 50.9%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 50.9%

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

      2. *-commutative 50.9%

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

      3. *-commutative 50.9%

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

      4. *-commutative 50.9%

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

   5. Simplified 50.9%

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

   if 2e53 < y5 < 2.50000000000000009e169

   1. Initial program 21.5%

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

   2. Taylor expanded in y0 around inf 49.4%

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

   3. Taylor expanded in y5 around inf 49.6%

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

      1. mul-1-neg 49.6%

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

      2. distribute-rgt-neg-in 49.6%

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

      3. *-commutative 49.6%

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

      4. *-commutative 49.6%

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

      5. *-commutative 49.6%

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

      6. distribute-rgt-neg-in 49.6%

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

   5. Simplified 49.6%

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

   if 3.09999999999999981e264 < y5 < 1.0780000000000001e280

   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. Taylor expanded in y3 around -inf 25.0%

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

   3. Taylor expanded in z around inf 100.0%

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

      1. associate-*r* 100.0%

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

   5. Simplified 100.0%

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

   if 1.0780000000000001e280 < y5

   1. Initial program 14.3%

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

   2. Taylor expanded in y around inf 42.9%

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

   3. Taylor expanded in y5 around inf 72.2%

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

      1. associate-*r* 72.2%

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

      2. *-commutative 72.2%

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

      3. *-commutative 72.2%

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

      4. *-commutative 72.2%

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

   5. Simplified 72.2%

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

4. Final simplification 53.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -6.1 \cdot 10^{+152}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.5 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -7.4 \cdot 10^{-181}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{-288}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 3.05 \cdot 10^{-229}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 2 \cdot 10^{+53}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{+169}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 3.1 \cdot 10^{+264}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.078 \cdot 10^{+280}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \end{array} \]

Alternative 14: 27.5% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot b - y3 \cdot y5\\ t_2 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_3 := y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{if}\;z \leq -1.65 \cdot 10^{+78}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-29}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;z \leq -6.9 \cdot 10^{-99}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{-163}:\\ \;\;\;\;y \cdot \left(a \cdot t_1\right)\\ \mathbf{elif}\;z \leq -1.9 \cdot 10^{-270}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 2.45 \cdot 10^{-71}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+117}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{+164}:\\ \;\;\;\;a \cdot \left(y \cdot t_1\right)\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{+255}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y3\right) \cdot \left(y \cdot y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x b) (* y3 y5)))
        (t_2 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_3 (* y (* i (- (* k y5) (* x c))))))
   (if (<= z -1.65e+78)
     t_2
     (if (<= z -1.6e-29)
       (* y (* x (- (* a b) (* c i))))
       (if (<= z -6.9e-99)
         (* b (* (* y k) (- y4)))
         (if (<= z -8.2e-163)
           (* y (* a t_1))
           (if (<= z -1.9e-270)
             (* b (* x (- (* y a) (* j y0))))
             (if (<= z 2.45e-71)
               (* j (* t (- (* b y4) (* i y5))))
               (if (<= z 2.7e-51)
                 t_2
                 (if (<= z 5.5e+117)
                   t_3
                   (if (<= z 7.8e+164)
                     (* a (* y t_1))
                     (if (<= z 2.5e+255) t_3 (* (* c y3) (* y y4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * b) - (y3 * y5);
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double t_3 = y * (i * ((k * y5) - (x * c)));
	double tmp;
	if (z <= -1.65e+78) {
		tmp = t_2;
	} else if (z <= -1.6e-29) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (z <= -6.9e-99) {
		tmp = b * ((y * k) * -y4);
	} else if (z <= -8.2e-163) {
		tmp = y * (a * t_1);
	} else if (z <= -1.9e-270) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= 2.45e-71) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (z <= 2.7e-51) {
		tmp = t_2;
	} else if (z <= 5.5e+117) {
		tmp = t_3;
	} else if (z <= 7.8e+164) {
		tmp = a * (y * t_1);
	} else if (z <= 2.5e+255) {
		tmp = t_3;
	} else {
		tmp = (c * y3) * (y * y4);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (x * b) - (y3 * y5)
    t_2 = c * (y0 * ((x * y2) - (z * y3)))
    t_3 = y * (i * ((k * y5) - (x * c)))
    if (z <= (-1.65d+78)) then
        tmp = t_2
    else if (z <= (-1.6d-29)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (z <= (-6.9d-99)) then
        tmp = b * ((y * k) * -y4)
    else if (z <= (-8.2d-163)) then
        tmp = y * (a * t_1)
    else if (z <= (-1.9d-270)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= 2.45d-71) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (z <= 2.7d-51) then
        tmp = t_2
    else if (z <= 5.5d+117) then
        tmp = t_3
    else if (z <= 7.8d+164) then
        tmp = a * (y * t_1)
    else if (z <= 2.5d+255) then
        tmp = t_3
    else
        tmp = (c * y3) * (y * y4)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * b) - (y3 * y5);
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double t_3 = y * (i * ((k * y5) - (x * c)));
	double tmp;
	if (z <= -1.65e+78) {
		tmp = t_2;
	} else if (z <= -1.6e-29) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (z <= -6.9e-99) {
		tmp = b * ((y * k) * -y4);
	} else if (z <= -8.2e-163) {
		tmp = y * (a * t_1);
	} else if (z <= -1.9e-270) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= 2.45e-71) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (z <= 2.7e-51) {
		tmp = t_2;
	} else if (z <= 5.5e+117) {
		tmp = t_3;
	} else if (z <= 7.8e+164) {
		tmp = a * (y * t_1);
	} else if (z <= 2.5e+255) {
		tmp = t_3;
	} else {
		tmp = (c * y3) * (y * y4);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * b) - (y3 * y5)
	t_2 = c * (y0 * ((x * y2) - (z * y3)))
	t_3 = y * (i * ((k * y5) - (x * c)))
	tmp = 0
	if z <= -1.65e+78:
		tmp = t_2
	elif z <= -1.6e-29:
		tmp = y * (x * ((a * b) - (c * i)))
	elif z <= -6.9e-99:
		tmp = b * ((y * k) * -y4)
	elif z <= -8.2e-163:
		tmp = y * (a * t_1)
	elif z <= -1.9e-270:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= 2.45e-71:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif z <= 2.7e-51:
		tmp = t_2
	elif z <= 5.5e+117:
		tmp = t_3
	elif z <= 7.8e+164:
		tmp = a * (y * t_1)
	elif z <= 2.5e+255:
		tmp = t_3
	else:
		tmp = (c * y3) * (y * y4)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * b) - Float64(y3 * y5))
	t_2 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_3 = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))))
	tmp = 0.0
	if (z <= -1.65e+78)
		tmp = t_2;
	elseif (z <= -1.6e-29)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (z <= -6.9e-99)
		tmp = Float64(b * Float64(Float64(y * k) * Float64(-y4)));
	elseif (z <= -8.2e-163)
		tmp = Float64(y * Float64(a * t_1));
	elseif (z <= -1.9e-270)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= 2.45e-71)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (z <= 2.7e-51)
		tmp = t_2;
	elseif (z <= 5.5e+117)
		tmp = t_3;
	elseif (z <= 7.8e+164)
		tmp = Float64(a * Float64(y * t_1));
	elseif (z <= 2.5e+255)
		tmp = t_3;
	else
		tmp = Float64(Float64(c * y3) * Float64(y * y4));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * b) - (y3 * y5);
	t_2 = c * (y0 * ((x * y2) - (z * y3)));
	t_3 = y * (i * ((k * y5) - (x * c)));
	tmp = 0.0;
	if (z <= -1.65e+78)
		tmp = t_2;
	elseif (z <= -1.6e-29)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (z <= -6.9e-99)
		tmp = b * ((y * k) * -y4);
	elseif (z <= -8.2e-163)
		tmp = y * (a * t_1);
	elseif (z <= -1.9e-270)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= 2.45e-71)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (z <= 2.7e-51)
		tmp = t_2;
	elseif (z <= 5.5e+117)
		tmp = t_3;
	elseif (z <= 7.8e+164)
		tmp = a * (y * t_1);
	elseif (z <= 2.5e+255)
		tmp = t_3;
	else
		tmp = (c * y3) * (y * y4);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1.65e+78], t$95$2, If[LessEqual[z, -1.6e-29], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -6.9e-99], N[(b * N[(N[(y * k), $MachinePrecision] * (-y4)), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -8.2e-163], N[(y * N[(a * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.9e-270], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.45e-71], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.7e-51], t$95$2, If[LessEqual[z, 5.5e+117], t$95$3, If[LessEqual[z, 7.8e+164], N[(a * N[(y * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 2.5e+255], t$95$3, N[(N[(c * y3), $MachinePrecision] * N[(y * y4), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if z < -1.65e78 or 2.4499999999999999e-71 < z < 2.6999999999999997e-51

   1. Initial program 28.1%

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

   2. Taylor expanded in y0 around inf 44.6%

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

   3. Taylor expanded in c around inf 56.9%

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

   if -1.65e78 < z < -1.6e-29

   1. Initial program 35.0%

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

   2. Taylor expanded in y around inf 35.1%

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

   3. Taylor expanded in x around inf 50.7%

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

   if -1.6e-29 < z < -6.9000000000000003e-99

   1. Initial program 53.2%

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

   2. Taylor expanded in y around inf 47.5%

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

   3. Taylor expanded in y4 around inf 16.1%

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

      1. associate-*r* 9.9%

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

      2. *-commutative 9.9%

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

      3. distribute-lft-out-- 9.9%

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

      4. *-commutative 9.9%

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

      5. *-commutative 9.9%

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

   5. Simplified 9.9%

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

   6. Taylor expanded in k around inf 23.0%

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

      1. associate-*r* 23.0%

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

      2. neg-mul-1 23.0%

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

      3. associate-*r* 42.3%

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

   8. Simplified 42.3%

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

   if -6.9000000000000003e-99 < z < -8.19999999999999965e-163

   1. Initial program 41.5%

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

   2. Taylor expanded in y around inf 59.3%

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

   3. Taylor expanded in a around inf 54.8%

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

   if -8.19999999999999965e-163 < z < -1.90000000000000021e-270

   1. Initial program 26.7%

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

   2. Taylor expanded in b around inf 53.3%

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

   3. Taylor expanded in x around inf 59.0%

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

   if -1.90000000000000021e-270 < z < 2.4499999999999999e-71

   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. Taylor expanded in j around inf 43.6%

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

   3. Taylor expanded in t around inf 32.1%

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

      1. *-commutative 32.1%

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

      2. *-commutative 32.1%

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

   5. Simplified 32.1%

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

   if 2.6999999999999997e-51 < z < 5.49999999999999965e117 or 7.79999999999999971e164 < z < 2.5000000000000001e255

   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. Taylor expanded in y around inf 40.2%

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

   3. Taylor expanded in i around inf 55.4%

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

      1. +-commutative 55.4%

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

      2. mul-1-neg 55.4%

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

      3. unsub-neg 55.4%

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

   5. Simplified 55.4%

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

   if 5.49999999999999965e117 < z < 7.79999999999999971e164

   1. Initial program 18.2%

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

   2. Taylor expanded in y around inf 20.3%

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

   3. Taylor expanded in a around inf 47.6%

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

   if 2.5000000000000001e255 < z

   1. Initial program 33.3%

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

   2. Taylor expanded in y around inf 33.4%

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

   3. Taylor expanded in y4 around inf 50.9%

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

      1. associate-*r* 50.9%

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

      2. *-commutative 50.9%

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

      3. distribute-lft-out-- 50.9%

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

      4. *-commutative 50.9%

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

      5. *-commutative 50.9%

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

   5. Simplified 50.9%

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

   6. Taylor expanded in k around 0 68.2%

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

      1. mul-1-neg 68.2%

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

      2. *-commutative 68.2%

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

      3. distribute-rgt-neg-in 68.2%

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

   8. Simplified 68.2%

      \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \color{blue}{\left(y3 \cdot \left(-c\right)\right)}\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 49.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.65 \cdot 10^{+78}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-29}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;z \leq -6.9 \cdot 10^{-99}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{-163}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.9 \cdot 10^{-270}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 2.45 \cdot 10^{-71}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-51}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+117}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{+164}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{+255}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y3\right) \cdot \left(y \cdot y4\right)\\ \end{array} \]

Alternative 15: 30.8% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{if}\;j \leq -3.4 \cdot 10^{+31}:\\ \;\;\;\;\left(j \cdot y5\right) \cdot \left(y0 \cdot y3 - t \cdot i\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-120}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -5.5 \cdot 10^{-253}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.15 \cdot 10^{-285}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.55 \cdot 10^{-171}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 1.55 \cdot 10^{-117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 0.00031:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{+219}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* y2 (- (* x c) (* k y5))))))
   (if (<= j -3.4e+31)
     (* (* j y5) (- (* y0 y3) (* t i)))
     (if (<= j -1.55e-120)
       (* y (* i (- (* k y5) (* x c))))
       (if (<= j -6e-190)
         t_1
         (if (<= j -5.5e-253)
           (* y (* y3 (- (* c y4) (* a y5))))
           (if (<= j -1.15e-285)
             (* y1 (* y4 (- (* k y2) (* j y3))))
             (if (<= j 1.55e-171)
               (* y (* a (- (* x b) (* y3 y5))))
               (if (<= j 1.55e-117)
                 t_1
                 (if (<= j 0.00031)
                   (* b (* a (- (* x y) (* z t))))
                   (if (<= j 1.9e+80)
                     (* c (* y0 (- (* x y2) (* z y3))))
                     (if (<= j 2.7e+219)
                       (* j (* x (- (* i y1) (* b y0))))
                       (* j (* y3 (- (* y0 y5) (* y1 y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (y2 * ((x * c) - (k * y5)));
	double tmp;
	if (j <= -3.4e+31) {
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	} else if (j <= -1.55e-120) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (j <= -6e-190) {
		tmp = t_1;
	} else if (j <= -5.5e-253) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (j <= -1.15e-285) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (j <= 1.55e-171) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else if (j <= 1.55e-117) {
		tmp = t_1;
	} else if (j <= 0.00031) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 1.9e+80) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 2.7e+219) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y0 * (y2 * ((x * c) - (k * y5)))
    if (j <= (-3.4d+31)) then
        tmp = (j * y5) * ((y0 * y3) - (t * i))
    else if (j <= (-1.55d-120)) then
        tmp = y * (i * ((k * y5) - (x * c)))
    else if (j <= (-6d-190)) then
        tmp = t_1
    else if (j <= (-5.5d-253)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (j <= (-1.15d-285)) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (j <= 1.55d-171) then
        tmp = y * (a * ((x * b) - (y3 * y5)))
    else if (j <= 1.55d-117) then
        tmp = t_1
    else if (j <= 0.00031d0) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (j <= 1.9d+80) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (j <= 2.7d+219) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (y2 * ((x * c) - (k * y5)));
	double tmp;
	if (j <= -3.4e+31) {
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	} else if (j <= -1.55e-120) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (j <= -6e-190) {
		tmp = t_1;
	} else if (j <= -5.5e-253) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (j <= -1.15e-285) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (j <= 1.55e-171) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else if (j <= 1.55e-117) {
		tmp = t_1;
	} else if (j <= 0.00031) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 1.9e+80) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 2.7e+219) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (y2 * ((x * c) - (k * y5)))
	tmp = 0
	if j <= -3.4e+31:
		tmp = (j * y5) * ((y0 * y3) - (t * i))
	elif j <= -1.55e-120:
		tmp = y * (i * ((k * y5) - (x * c)))
	elif j <= -6e-190:
		tmp = t_1
	elif j <= -5.5e-253:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif j <= -1.15e-285:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif j <= 1.55e-171:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	elif j <= 1.55e-117:
		tmp = t_1
	elif j <= 0.00031:
		tmp = b * (a * ((x * y) - (z * t)))
	elif j <= 1.9e+80:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif j <= 2.7e+219:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))))
	tmp = 0.0
	if (j <= -3.4e+31)
		tmp = Float64(Float64(j * y5) * Float64(Float64(y0 * y3) - Float64(t * i)));
	elseif (j <= -1.55e-120)
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (j <= -6e-190)
		tmp = t_1;
	elseif (j <= -5.5e-253)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (j <= -1.15e-285)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (j <= 1.55e-171)
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (j <= 1.55e-117)
		tmp = t_1;
	elseif (j <= 0.00031)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= 1.9e+80)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (j <= 2.7e+219)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (y2 * ((x * c) - (k * y5)));
	tmp = 0.0;
	if (j <= -3.4e+31)
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	elseif (j <= -1.55e-120)
		tmp = y * (i * ((k * y5) - (x * c)));
	elseif (j <= -6e-190)
		tmp = t_1;
	elseif (j <= -5.5e-253)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (j <= -1.15e-285)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (j <= 1.55e-171)
		tmp = y * (a * ((x * b) - (y3 * y5)));
	elseif (j <= 1.55e-117)
		tmp = t_1;
	elseif (j <= 0.00031)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (j <= 1.9e+80)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (j <= 2.7e+219)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -3.4e+31], N[(N[(j * y5), $MachinePrecision] * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.55e-120], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -6e-190], t$95$1, If[LessEqual[j, -5.5e-253], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.15e-285], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.55e-171], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.55e-117], t$95$1, If[LessEqual[j, 0.00031], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.9e+80], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 2.7e+219], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -3.3999999999999998e31

   1. Initial program 33.3%

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

   2. Taylor expanded in j around inf 59.4%

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

   3. Taylor expanded in y5 around inf 45.6%

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

      1. associate-*r* 47.3%

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

      2. +-commutative 47.3%

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

      3. mul-1-neg 47.3%

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

      4. unsub-neg 47.3%

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

      5. *-commutative 47.3%

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

      6. *-commutative 47.3%

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

   5. Simplified 47.3%

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

   if -3.3999999999999998e31 < j < -1.5500000000000001e-120

   1. Initial program 25.4%

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

   2. Taylor expanded in y around inf 50.7%

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

   3. Taylor expanded in i around inf 54.3%

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

      1. +-commutative 54.3%

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

      2. mul-1-neg 54.3%

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

      3. unsub-neg 54.3%

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

   5. Simplified 54.3%

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

   if -1.5500000000000001e-120 < j < -5.9999999999999996e-190 or 1.55e-171 < j < 1.55000000000000005e-117

   1. Initial program 33.3%

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

   2. Taylor expanded in y0 around inf 50.7%

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

   3. Taylor expanded in y2 around inf 57.7%

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

      1. +-commutative 57.7%

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

      2. mul-1-neg 57.7%

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

      3. unsub-neg 57.7%

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

   5. Simplified 57.7%

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

   if -5.9999999999999996e-190 < j < -5.49999999999999974e-253

   1. Initial program 28.8%

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

   2. Taylor expanded in y around inf 44.7%

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

   3. Taylor expanded in y3 around inf 51.5%

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

      1. *-commutative 51.5%

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

      2. *-commutative 51.5%

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

   5. Simplified 51.5%

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

   if -5.49999999999999974e-253 < j < -1.14999999999999998e-285

   1. Initial program 41.5%

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

   2. Taylor expanded in y around inf 49.9%

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

   3. Taylor expanded in y1 around inf 67.1%

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

   if -1.14999999999999998e-285 < j < 1.55e-171

   1. Initial program 54.1%

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

   2. Taylor expanded in y around inf 57.8%

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

   3. Taylor expanded in a around inf 40.0%

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

   if 1.55000000000000005e-117 < j < 3.1e-4

   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. Taylor expanded in b around inf 44.2%

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

   3. Taylor expanded in a around inf 37.8%

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

      1. *-commutative 37.8%

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

   5. Simplified 37.8%

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

   if 3.1e-4 < j < 1.89999999999999999e80

   1. Initial program 37.5%

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

   2. Taylor expanded in y0 around inf 62.8%

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

   3. Taylor expanded in c around inf 69.5%

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

   if 1.89999999999999999e80 < j < 2.6999999999999999e219

   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. Taylor expanded in j around inf 46.5%

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

   3. Taylor expanded in x around inf 58.3%

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

   if 2.6999999999999999e219 < j

   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. Taylor expanded in y around inf 37.5%

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

   3. Taylor expanded in j around inf 69.3%

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

      1. mul-1-neg 69.3%

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

      2. *-commutative 69.3%

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

      3. *-commutative 69.3%

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

      4. distribute-rgt-neg-in 69.3%

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

      5. *-commutative 69.3%

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

      6. distribute-rgt-neg-in 69.3%

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

      7. *-commutative 69.3%

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

      8. *-commutative 69.3%

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

   5. Simplified 69.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(-y3\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 52.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -3.4 \cdot 10^{+31}:\\ \;\;\;\;\left(j \cdot y5\right) \cdot \left(y0 \cdot y3 - t \cdot i\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-120}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-190}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -5.5 \cdot 10^{-253}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.15 \cdot 10^{-285}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.55 \cdot 10^{-171}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 1.55 \cdot 10^{-117}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 0.00031:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{+219}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \]

Alternative 16: 30.8% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;j \leq -1.5 \cdot 10^{+42}:\\ \;\;\;\;\left(j \cdot y5\right) \cdot \left(y0 \cdot y3 - t \cdot i\right)\\ \mathbf{elif}\;j \leq -1.26 \cdot 10^{-85}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -7.8 \cdot 10^{-259}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 3 \cdot 10^{-203}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-70}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{-62}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{-26}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq 1.25 \cdot 10^{+80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.9 \cdot 10^{+219}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4))))))
   (if (<= j -1.5e+42)
     (* (* j y5) (- (* y0 y3) (* t i)))
     (if (<= j -1.26e-85)
       (* x (* y (- (* a b) (* c i))))
       (if (<= j -7.8e-259)
         (* k (* y0 (- (* z b) (* y2 y5))))
         (if (<= j 3e-203)
           t_1
           (if (<= j 1.15e-117)
             (* b (* y (- (* x a) (* k y4))))
             (if (<= j 9.5e-70)
               (* b (* a (- (* x y) (* z t))))
               (if (<= j 3.8e-62)
                 t_1
                 (if (<= j 1.7e-26)
                   (* b (* y4 (- (* t j) (* y k))))
                   (if (<= j 1.25e+80)
                     (* c (* y0 (- (* x y2) (* z y3))))
                     (if (<= j 3.9e+219)
                       (* j (* x (- (* i y1) (* b y0))))
                       (* j (* y3 (- (* y0 y5) (* y1 y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (j <= -1.5e+42) {
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	} else if (j <= -1.26e-85) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (j <= -7.8e-259) {
		tmp = k * (y0 * ((z * b) - (y2 * y5)));
	} else if (j <= 3e-203) {
		tmp = t_1;
	} else if (j <= 1.15e-117) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (j <= 9.5e-70) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 3.8e-62) {
		tmp = t_1;
	} else if (j <= 1.7e-26) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= 1.25e+80) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 3.9e+219) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = t * (y2 * ((a * y5) - (c * y4)))
    if (j <= (-1.5d+42)) then
        tmp = (j * y5) * ((y0 * y3) - (t * i))
    else if (j <= (-1.26d-85)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (j <= (-7.8d-259)) then
        tmp = k * (y0 * ((z * b) - (y2 * y5)))
    else if (j <= 3d-203) then
        tmp = t_1
    else if (j <= 1.15d-117) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (j <= 9.5d-70) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (j <= 3.8d-62) then
        tmp = t_1
    else if (j <= 1.7d-26) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (j <= 1.25d+80) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (j <= 3.9d+219) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (j <= -1.5e+42) {
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	} else if (j <= -1.26e-85) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (j <= -7.8e-259) {
		tmp = k * (y0 * ((z * b) - (y2 * y5)));
	} else if (j <= 3e-203) {
		tmp = t_1;
	} else if (j <= 1.15e-117) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (j <= 9.5e-70) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 3.8e-62) {
		tmp = t_1;
	} else if (j <= 1.7e-26) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (j <= 1.25e+80) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 3.9e+219) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	tmp = 0
	if j <= -1.5e+42:
		tmp = (j * y5) * ((y0 * y3) - (t * i))
	elif j <= -1.26e-85:
		tmp = x * (y * ((a * b) - (c * i)))
	elif j <= -7.8e-259:
		tmp = k * (y0 * ((z * b) - (y2 * y5)))
	elif j <= 3e-203:
		tmp = t_1
	elif j <= 1.15e-117:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif j <= 9.5e-70:
		tmp = b * (a * ((x * y) - (z * t)))
	elif j <= 3.8e-62:
		tmp = t_1
	elif j <= 1.7e-26:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif j <= 1.25e+80:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif j <= 3.9e+219:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	tmp = 0.0
	if (j <= -1.5e+42)
		tmp = Float64(Float64(j * y5) * Float64(Float64(y0 * y3) - Float64(t * i)));
	elseif (j <= -1.26e-85)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (j <= -7.8e-259)
		tmp = Float64(k * Float64(y0 * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (j <= 3e-203)
		tmp = t_1;
	elseif (j <= 1.15e-117)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (j <= 9.5e-70)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= 3.8e-62)
		tmp = t_1;
	elseif (j <= 1.7e-26)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (j <= 1.25e+80)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (j <= 3.9e+219)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (y2 * ((a * y5) - (c * y4)));
	tmp = 0.0;
	if (j <= -1.5e+42)
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	elseif (j <= -1.26e-85)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (j <= -7.8e-259)
		tmp = k * (y0 * ((z * b) - (y2 * y5)));
	elseif (j <= 3e-203)
		tmp = t_1;
	elseif (j <= 1.15e-117)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (j <= 9.5e-70)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (j <= 3.8e-62)
		tmp = t_1;
	elseif (j <= 1.7e-26)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (j <= 1.25e+80)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (j <= 3.9e+219)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.5e+42], N[(N[(j * y5), $MachinePrecision] * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.26e-85], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7.8e-259], N[(k * N[(y0 * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3e-203], t$95$1, If[LessEqual[j, 1.15e-117], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 9.5e-70], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.8e-62], t$95$1, If[LessEqual[j, 1.7e-26], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.25e+80], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.9e+219], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -1.50000000000000014e42

   1. Initial program 34.6%

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

   2. Taylor expanded in j around inf 61.7%

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

   3. Taylor expanded in y5 around inf 47.2%

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

      1. associate-*r* 49.1%

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

      2. +-commutative 49.1%

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

      3. mul-1-neg 49.1%

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

      4. unsub-neg 49.1%

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

      5. *-commutative 49.1%

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

      6. *-commutative 49.1%

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

   5. Simplified 49.1%

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

   if -1.50000000000000014e42 < j < -1.26e-85

   1. Initial program 26.3%

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

   2. Taylor expanded in y around inf 35.1%

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

   3. Taylor expanded in x around inf 53.3%

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

   if -1.26e-85 < j < -7.80000000000000031e-259

   1. Initial program 33.2%

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

   2. Taylor expanded in y0 around inf 39.9%

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

   3. Taylor expanded in k around inf 46.0%

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

      1. distribute-lft-out-- 46.0%

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

      2. *-commutative 46.0%

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

   5. Simplified 46.0%

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

   if -7.80000000000000031e-259 < j < 3.0000000000000001e-203 or 9.4999999999999994e-70 < j < 3.80000000000000006e-62

   1. Initial program 44.2%

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

   2. Taylor expanded in y around inf 40.7%

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

   3. Taylor expanded in t around inf 51.1%

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

   if 3.0000000000000001e-203 < j < 1.14999999999999997e-117

   1. Initial program 41.1%

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

   2. Taylor expanded in b around inf 41.7%

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

   3. Taylor expanded in y around inf 53.3%

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

      1. +-commutative 53.3%

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

      2. mul-1-neg 53.3%

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

      3. unsub-neg 53.3%

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

   5. Simplified 53.3%

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

   if 1.14999999999999997e-117 < j < 9.4999999999999994e-70

   1. Initial program 21.1%

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

   2. Taylor expanded in b around inf 62.1%

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

   3. Taylor expanded in a around inf 51.1%

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

      1. *-commutative 51.1%

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

   5. Simplified 51.1%

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

   if 3.80000000000000006e-62 < j < 1.70000000000000007e-26

   1. Initial program 45.9%

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

   2. Taylor expanded in b around inf 31.0%

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

   3. Taylor expanded in y4 around inf 46.9%

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

   if 1.70000000000000007e-26 < j < 1.2499999999999999e80

   1. Initial program 45.0%

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

   2. Taylor expanded in y0 around inf 55.4%

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

   3. Taylor expanded in c around inf 60.7%

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

   if 1.2499999999999999e80 < j < 3.8999999999999999e219

   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. Taylor expanded in j around inf 46.5%

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

   3. Taylor expanded in x around inf 58.3%

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

   if 3.8999999999999999e219 < j

   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. Taylor expanded in y around inf 37.5%

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

   3. Taylor expanded in j around inf 69.3%

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

      1. mul-1-neg 69.3%

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

      2. *-commutative 69.3%

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

      3. *-commutative 69.3%

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

      4. distribute-rgt-neg-in 69.3%

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

      5. *-commutative 69.3%

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

      6. distribute-rgt-neg-in 69.3%

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

      7. *-commutative 69.3%

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

      8. *-commutative 69.3%

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

   5. Simplified 69.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(-y3\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 52.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.5 \cdot 10^{+42}:\\ \;\;\;\;\left(j \cdot y5\right) \cdot \left(y0 \cdot y3 - t \cdot i\right)\\ \mathbf{elif}\;j \leq -1.26 \cdot 10^{-85}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -7.8 \cdot 10^{-259}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 3 \cdot 10^{-203}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-70}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{-62}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{-26}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;j \leq 1.25 \cdot 10^{+80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.9 \cdot 10^{+219}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \]

Alternative 17: 28.2% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -6 \cdot 10^{+150}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -6.5 \cdot 10^{+23}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -9.6 \cdot 10^{-176}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-286}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-154}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{+51}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.7 \cdot 10^{+160} \lor \neg \left(y5 \leq 1.6 \cdot 10^{+249}\right):\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* y3 (- (* c y4) (* a y5))))))
   (if (<= y5 -6e+150)
     (* y0 (* y2 (- (* x c) (* k y5))))
     (if (<= y5 -6.5e+23)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= y5 -9.6e-176)
         t_1
         (if (<= y5 5.2e-286)
           (* y (* x (- (* a b) (* c i))))
           (if (<= y5 1.15e-154)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y5 1.8e+51)
               (* j (* x (- (* i y1) (* b y0))))
               (if (or (<= y5 1.7e+160) (not (<= y5 1.6e+249)))
                 (* y (* i (- (* k y5) (* x c))))
                 t_1)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (y3 * ((c * y4) - (a * y5)));
	double tmp;
	if (y5 <= -6e+150) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= -6.5e+23) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= -9.6e-176) {
		tmp = t_1;
	} else if (y5 <= 5.2e-286) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y5 <= 1.15e-154) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y5 <= 1.8e+51) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if ((y5 <= 1.7e+160) || !(y5 <= 1.6e+249)) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} 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 = y * (y3 * ((c * y4) - (a * y5)))
    if (y5 <= (-6d+150)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y5 <= (-6.5d+23)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y5 <= (-9.6d-176)) then
        tmp = t_1
    else if (y5 <= 5.2d-286) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y5 <= 1.15d-154) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y5 <= 1.8d+51) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if ((y5 <= 1.7d+160) .or. (.not. (y5 <= 1.6d+249))) then
        tmp = y * (i * ((k * y5) - (x * c)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (y3 * ((c * y4) - (a * y5)));
	double tmp;
	if (y5 <= -6e+150) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= -6.5e+23) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= -9.6e-176) {
		tmp = t_1;
	} else if (y5 <= 5.2e-286) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y5 <= 1.15e-154) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y5 <= 1.8e+51) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if ((y5 <= 1.7e+160) || !(y5 <= 1.6e+249)) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (y3 * ((c * y4) - (a * y5)))
	tmp = 0
	if y5 <= -6e+150:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y5 <= -6.5e+23:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y5 <= -9.6e-176:
		tmp = t_1
	elif y5 <= 5.2e-286:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y5 <= 1.15e-154:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y5 <= 1.8e+51:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif (y5 <= 1.7e+160) or not (y5 <= 1.6e+249):
		tmp = y * (i * ((k * y5) - (x * c)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))
	tmp = 0.0
	if (y5 <= -6e+150)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y5 <= -6.5e+23)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y5 <= -9.6e-176)
		tmp = t_1;
	elseif (y5 <= 5.2e-286)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y5 <= 1.15e-154)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y5 <= 1.8e+51)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif ((y5 <= 1.7e+160) || !(y5 <= 1.6e+249))
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (y3 * ((c * y4) - (a * y5)));
	tmp = 0.0;
	if (y5 <= -6e+150)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y5 <= -6.5e+23)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y5 <= -9.6e-176)
		tmp = t_1;
	elseif (y5 <= 5.2e-286)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y5 <= 1.15e-154)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y5 <= 1.8e+51)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif ((y5 <= 1.7e+160) || ~((y5 <= 1.6e+249)))
		tmp = y * (i * ((k * y5) - (x * c)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -6e+150], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -6.5e+23], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -9.6e-176], t$95$1, If[LessEqual[y5, 5.2e-286], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.15e-154], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.8e+51], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y5, 1.7e+160], N[Not[LessEqual[y5, 1.6e+249]], $MachinePrecision]], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -6.00000000000000025e150

   1. Initial program 38.9%

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

   2. Taylor expanded in y0 around inf 34.1%

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

   3. Taylor expanded in y2 around inf 59.3%

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

      1. +-commutative 59.3%

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

      2. mul-1-neg 59.3%

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

      3. unsub-neg 59.3%

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

   5. Simplified 59.3%

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

   if -6.00000000000000025e150 < y5 < -6.4999999999999996e23

   1. Initial program 40.9%

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

   2. Taylor expanded in b around inf 32.1%

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

   3. Taylor expanded in x around inf 42.2%

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

   if -6.4999999999999996e23 < y5 < -9.60000000000000024e-176 or 1.70000000000000015e160 < y5 < 1.60000000000000007e249

   1. Initial program 34.0%

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

   2. Taylor expanded in y around inf 52.4%

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

   3. Taylor expanded in y3 around inf 47.5%

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

      1. *-commutative 47.5%

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

      2. *-commutative 47.5%

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

   5. Simplified 47.5%

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

   if -9.60000000000000024e-176 < y5 < 5.1999999999999999e-286

   1. Initial program 40.4%

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

   2. Taylor expanded in y around inf 44.2%

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

   3. Taylor expanded in x around inf 54.5%

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

   if 5.1999999999999999e-286 < y5 < 1.15e-154

   1. Initial program 40.5%

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

   2. Taylor expanded in b around inf 35.9%

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

   3. Taylor expanded in a around inf 44.4%

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

   if 1.15e-154 < y5 < 1.80000000000000005e51

   1. Initial program 37.1%

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

   2. Taylor expanded in j around inf 40.6%

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

   3. Taylor expanded in x around inf 44.0%

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

   if 1.80000000000000005e51 < y5 < 1.70000000000000015e160 or 1.60000000000000007e249 < y5

   1. Initial program 18.2%

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

   2. Taylor expanded in y around inf 45.9%

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

   3. Taylor expanded in i around inf 51.0%

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

      1. +-commutative 51.0%

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

      2. mul-1-neg 51.0%

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

      3. unsub-neg 51.0%

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

   5. Simplified 51.0%

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

4. Final simplification 49.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -6 \cdot 10^{+150}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -6.5 \cdot 10^{+23}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -9.6 \cdot 10^{-176}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-286}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-154}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{+51}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.7 \cdot 10^{+160} \lor \neg \left(y5 \leq 1.6 \cdot 10^{+249}\right):\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]

Alternative 18: 27.9% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot b - y3 \cdot y5\\ t_2 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_3 := y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{if}\;z \leq -1.6 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-157}:\\ \;\;\;\;y \cdot \left(a \cdot t_1\right)\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-267}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-71}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 10^{-56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{+117}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.65 \cdot 10^{+157}:\\ \;\;\;\;a \cdot \left(y \cdot t_1\right)\\ \mathbf{elif}\;z \leq 3.35 \cdot 10^{+255}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y3\right) \cdot \left(y \cdot y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x b) (* y3 y5)))
        (t_2 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_3 (* y (* i (- (* k y5) (* x c))))))
   (if (<= z -1.6e+85)
     t_2
     (if (<= z -1.1e-157)
       (* y (* a t_1))
       (if (<= z -1.6e-267)
         (* b (* x (- (* y a) (* j y0))))
         (if (<= z 6.5e-71)
           (* j (* t (- (* b y4) (* i y5))))
           (if (<= z 1e-56)
             t_2
             (if (<= z 2.7e+117)
               t_3
               (if (<= z 2.65e+157)
                 (* a (* y t_1))
                 (if (<= z 3.35e+255) t_3 (* (* c y3) (* y y4))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * b) - (y3 * y5);
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double t_3 = y * (i * ((k * y5) - (x * c)));
	double tmp;
	if (z <= -1.6e+85) {
		tmp = t_2;
	} else if (z <= -1.1e-157) {
		tmp = y * (a * t_1);
	} else if (z <= -1.6e-267) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= 6.5e-71) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (z <= 1e-56) {
		tmp = t_2;
	} else if (z <= 2.7e+117) {
		tmp = t_3;
	} else if (z <= 2.65e+157) {
		tmp = a * (y * t_1);
	} else if (z <= 3.35e+255) {
		tmp = t_3;
	} else {
		tmp = (c * y3) * (y * y4);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (x * b) - (y3 * y5)
    t_2 = c * (y0 * ((x * y2) - (z * y3)))
    t_3 = y * (i * ((k * y5) - (x * c)))
    if (z <= (-1.6d+85)) then
        tmp = t_2
    else if (z <= (-1.1d-157)) then
        tmp = y * (a * t_1)
    else if (z <= (-1.6d-267)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= 6.5d-71) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (z <= 1d-56) then
        tmp = t_2
    else if (z <= 2.7d+117) then
        tmp = t_3
    else if (z <= 2.65d+157) then
        tmp = a * (y * t_1)
    else if (z <= 3.35d+255) then
        tmp = t_3
    else
        tmp = (c * y3) * (y * y4)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * b) - (y3 * y5);
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double t_3 = y * (i * ((k * y5) - (x * c)));
	double tmp;
	if (z <= -1.6e+85) {
		tmp = t_2;
	} else if (z <= -1.1e-157) {
		tmp = y * (a * t_1);
	} else if (z <= -1.6e-267) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= 6.5e-71) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (z <= 1e-56) {
		tmp = t_2;
	} else if (z <= 2.7e+117) {
		tmp = t_3;
	} else if (z <= 2.65e+157) {
		tmp = a * (y * t_1);
	} else if (z <= 3.35e+255) {
		tmp = t_3;
	} else {
		tmp = (c * y3) * (y * y4);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * b) - (y3 * y5)
	t_2 = c * (y0 * ((x * y2) - (z * y3)))
	t_3 = y * (i * ((k * y5) - (x * c)))
	tmp = 0
	if z <= -1.6e+85:
		tmp = t_2
	elif z <= -1.1e-157:
		tmp = y * (a * t_1)
	elif z <= -1.6e-267:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= 6.5e-71:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif z <= 1e-56:
		tmp = t_2
	elif z <= 2.7e+117:
		tmp = t_3
	elif z <= 2.65e+157:
		tmp = a * (y * t_1)
	elif z <= 3.35e+255:
		tmp = t_3
	else:
		tmp = (c * y3) * (y * y4)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * b) - Float64(y3 * y5))
	t_2 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_3 = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))))
	tmp = 0.0
	if (z <= -1.6e+85)
		tmp = t_2;
	elseif (z <= -1.1e-157)
		tmp = Float64(y * Float64(a * t_1));
	elseif (z <= -1.6e-267)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= 6.5e-71)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (z <= 1e-56)
		tmp = t_2;
	elseif (z <= 2.7e+117)
		tmp = t_3;
	elseif (z <= 2.65e+157)
		tmp = Float64(a * Float64(y * t_1));
	elseif (z <= 3.35e+255)
		tmp = t_3;
	else
		tmp = Float64(Float64(c * y3) * Float64(y * y4));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * b) - (y3 * y5);
	t_2 = c * (y0 * ((x * y2) - (z * y3)));
	t_3 = y * (i * ((k * y5) - (x * c)));
	tmp = 0.0;
	if (z <= -1.6e+85)
		tmp = t_2;
	elseif (z <= -1.1e-157)
		tmp = y * (a * t_1);
	elseif (z <= -1.6e-267)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= 6.5e-71)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (z <= 1e-56)
		tmp = t_2;
	elseif (z <= 2.7e+117)
		tmp = t_3;
	elseif (z <= 2.65e+157)
		tmp = a * (y * t_1);
	elseif (z <= 3.35e+255)
		tmp = t_3;
	else
		tmp = (c * y3) * (y * y4);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1.6e+85], t$95$2, If[LessEqual[z, -1.1e-157], N[(y * N[(a * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.6e-267], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 6.5e-71], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1e-56], t$95$2, If[LessEqual[z, 2.7e+117], t$95$3, If[LessEqual[z, 2.65e+157], N[(a * N[(y * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.35e+255], t$95$3, N[(N[(c * y3), $MachinePrecision] * N[(y * y4), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if z < -1.60000000000000009e85 or 6.50000000000000005e-71 < z < 1e-56

   1. Initial program 28.6%

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

   2. Taylor expanded in y0 around inf 45.4%

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

   3. Taylor expanded in c around inf 56.2%

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

   if -1.60000000000000009e85 < z < -1.10000000000000005e-157

   1. Initial program 41.6%

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

   2. Taylor expanded in y around inf 45.7%

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

   3. Taylor expanded in a around inf 40.8%

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

   if -1.10000000000000005e-157 < z < -1.59999999999999993e-267

   1. Initial program 26.7%

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

   2. Taylor expanded in b around inf 53.3%

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

   3. Taylor expanded in x around inf 59.0%

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

   if -1.59999999999999993e-267 < z < 6.50000000000000005e-71

   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. Taylor expanded in j around inf 43.6%

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

   3. Taylor expanded in t around inf 32.1%

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

      1. *-commutative 32.1%

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

      2. *-commutative 32.1%

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

   5. Simplified 32.1%

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

   if 1e-56 < z < 2.7000000000000002e117 or 2.6499999999999999e157 < z < 3.35e255

   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. Taylor expanded in y around inf 40.2%

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

   3. Taylor expanded in i around inf 55.4%

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

      1. +-commutative 55.4%

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

      2. mul-1-neg 55.4%

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

      3. unsub-neg 55.4%

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

   5. Simplified 55.4%

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

   if 2.7000000000000002e117 < z < 2.6499999999999999e157

   1. Initial program 18.2%

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

   2. Taylor expanded in y around inf 20.3%

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

   3. Taylor expanded in a around inf 47.6%

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

   if 3.35e255 < z

   1. Initial program 33.3%

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

   2. Taylor expanded in y around inf 33.4%

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

   3. Taylor expanded in y4 around inf 50.9%

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

      1. associate-*r* 50.9%

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

      2. *-commutative 50.9%

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

      3. distribute-lft-out-- 50.9%

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

      4. *-commutative 50.9%

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

      5. *-commutative 50.9%

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

   5. Simplified 50.9%

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

   6. Taylor expanded in k around 0 68.2%

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

      1. mul-1-neg 68.2%

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

      2. *-commutative 68.2%

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

      3. distribute-rgt-neg-in 68.2%

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

   8. Simplified 68.2%

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

4. Final simplification 47.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.6 \cdot 10^{+85}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-157}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-267}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-71}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 10^{-56}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{+117}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;z \leq 2.65 \cdot 10^{+157}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;z \leq 3.35 \cdot 10^{+255}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y3\right) \cdot \left(y \cdot y4\right)\\ \end{array} \]

Alternative 19: 28.3% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -8.8 \cdot 10^{+145}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.06 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -4.9 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 10^{-287}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-156}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{+51}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 5.5 \cdot 10^{+160}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y5 \leq 9.6 \cdot 10^{+261}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* y3 (- (* c y4) (* a y5))))))
   (if (<= y5 -8.8e+145)
     (* y0 (* y2 (- (* x c) (* k y5))))
     (if (<= y5 -1.06e+24)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= y5 -4.9e-182)
         t_1
         (if (<= y5 1e-287)
           (* y (* x (- (* a b) (* c i))))
           (if (<= y5 9e-156)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y5 1.35e+51)
               (* j (* x (- (* i y1) (* b y0))))
               (if (<= y5 5.5e+160)
                 (* y (* i (- (* k y5) (* x c))))
                 (if (<= y5 9.6e+261)
                   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 = y * (y3 * ((c * y4) - (a * y5)));
	double tmp;
	if (y5 <= -8.8e+145) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= -1.06e+24) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= -4.9e-182) {
		tmp = t_1;
	} else if (y5 <= 1e-287) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y5 <= 9e-156) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y5 <= 1.35e+51) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 5.5e+160) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (y5 <= 9.6e+261) {
		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 = y * (y3 * ((c * y4) - (a * y5)))
    if (y5 <= (-8.8d+145)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y5 <= (-1.06d+24)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y5 <= (-4.9d-182)) then
        tmp = t_1
    else if (y5 <= 1d-287) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y5 <= 9d-156) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y5 <= 1.35d+51) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y5 <= 5.5d+160) then
        tmp = y * (i * ((k * y5) - (x * c)))
    else if (y5 <= 9.6d+261) 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 = y * (y3 * ((c * y4) - (a * y5)));
	double tmp;
	if (y5 <= -8.8e+145) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= -1.06e+24) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= -4.9e-182) {
		tmp = t_1;
	} else if (y5 <= 1e-287) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y5 <= 9e-156) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y5 <= 1.35e+51) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 5.5e+160) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (y5 <= 9.6e+261) {
		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 = y * (y3 * ((c * y4) - (a * y5)))
	tmp = 0
	if y5 <= -8.8e+145:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y5 <= -1.06e+24:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y5 <= -4.9e-182:
		tmp = t_1
	elif y5 <= 1e-287:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y5 <= 9e-156:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y5 <= 1.35e+51:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y5 <= 5.5e+160:
		tmp = y * (i * ((k * y5) - (x * c)))
	elif y5 <= 9.6e+261:
		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(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))
	tmp = 0.0
	if (y5 <= -8.8e+145)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y5 <= -1.06e+24)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y5 <= -4.9e-182)
		tmp = t_1;
	elseif (y5 <= 1e-287)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y5 <= 9e-156)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y5 <= 1.35e+51)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y5 <= 5.5e+160)
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (y5 <= 9.6e+261)
		tmp = t_1;
	else
		tmp = Float64(Float64(y * 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 = y * (y3 * ((c * y4) - (a * y5)));
	tmp = 0.0;
	if (y5 <= -8.8e+145)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y5 <= -1.06e+24)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y5 <= -4.9e-182)
		tmp = t_1;
	elseif (y5 <= 1e-287)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y5 <= 9e-156)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y5 <= 1.35e+51)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y5 <= 5.5e+160)
		tmp = y * (i * ((k * y5) - (x * c)));
	elseif (y5 <= 9.6e+261)
		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[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8.8e+145], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.06e+24], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.9e-182], t$95$1, If[LessEqual[y5, 1e-287], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9e-156], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.35e+51], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.5e+160], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.6e+261], t$95$1, N[(N[(y * y5), $MachinePrecision] * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y5 < -8.80000000000000035e145

   1. Initial program 38.9%

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

   2. Taylor expanded in y0 around inf 34.1%

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

   3. Taylor expanded in y2 around inf 59.3%

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

      1. +-commutative 59.3%

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

      2. mul-1-neg 59.3%

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

      3. unsub-neg 59.3%

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

   5. Simplified 59.3%

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

   if -8.80000000000000035e145 < y5 < -1.06e24

   1. Initial program 40.9%

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

   2. Taylor expanded in b around inf 32.1%

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

   3. Taylor expanded in x around inf 42.2%

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

   if -1.06e24 < y5 < -4.9000000000000003e-182 or 5.5e160 < y5 < 9.5999999999999993e261

   1. Initial program 33.4%

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

   2. Taylor expanded in y around inf 53.2%

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

   3. Taylor expanded in y3 around inf 48.4%

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

      1. *-commutative 48.4%

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

      2. *-commutative 48.4%

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

   5. Simplified 48.4%

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

   if -4.9000000000000003e-182 < y5 < 1.00000000000000002e-287

   1. Initial program 40.4%

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

   2. Taylor expanded in y around inf 44.2%

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

   3. Taylor expanded in x around inf 54.5%

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

   if 1.00000000000000002e-287 < y5 < 8.99999999999999971e-156

   1. Initial program 40.5%

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

   2. Taylor expanded in b around inf 35.9%

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

   3. Taylor expanded in a around inf 44.4%

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

   if 8.99999999999999971e-156 < y5 < 1.34999999999999996e51

   1. Initial program 37.1%

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

   2. Taylor expanded in j around inf 40.6%

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

   3. Taylor expanded in x around inf 44.0%

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

   if 1.34999999999999996e51 < y5 < 5.5e160

   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. Taylor expanded in y around inf 47.4%

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

   3. Taylor expanded in i around inf 48.0%

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

      1. +-commutative 48.0%

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

      2. mul-1-neg 48.0%

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

      3. unsub-neg 48.0%

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

   5. Simplified 48.0%

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

   if 9.5999999999999993e261 < y5

   1. Initial program 18.2%

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

   2. Taylor expanded in y around inf 36.4%

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

   3. Taylor expanded in y5 around inf 64.1%

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

      1. associate-*r* 55.5%

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

      2. *-commutative 55.5%

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

      3. *-commutative 55.5%

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

      4. *-commutative 55.5%

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

   5. Simplified 55.5%

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

4. Final simplification 49.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.8 \cdot 10^{+145}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.06 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -4.9 \cdot 10^{-182}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{-287}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-156}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{+51}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 5.5 \cdot 10^{+160}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y5 \leq 9.6 \cdot 10^{+261}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot y5\right) \cdot \left(i \cdot k - a \cdot y3\right)\\ \end{array} \]

Alternative 20: 31.1% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;j \leq -6.2 \cdot 10^{+29}:\\ \;\;\;\;\left(j \cdot y5\right) \cdot \left(y0 \cdot y3 - t \cdot i\right)\\ \mathbf{elif}\;j \leq -1.95 \cdot 10^{-120}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -1.15 \cdot 10^{-189}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.02 \cdot 10^{-231}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-205}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-5}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{+81}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{+219}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= j -6.2e+29)
   (* (* j y5) (- (* y0 y3) (* t i)))
   (if (<= j -1.95e-120)
     (* y (* i (- (* k y5) (* x c))))
     (if (<= j -1.15e-189)
       (* y0 (* y2 (- (* x c) (* k y5))))
       (if (<= j -1.02e-231)
         (* y (* y3 (- (* c y4) (* a y5))))
         (if (<= j 6.5e-205)
           (* t (* y2 (- (* a y5) (* c y4))))
           (if (<= j 3.5e-5)
             (* b (* a (- (* x y) (* z t))))
             (if (<= j 1.8e+81)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= j 1.6e+219)
                 (* j (* x (- (* i y1) (* b y0))))
                 (* j (* y3 (- (* y0 y5) (* y1 y4)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -6.2e+29) {
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	} else if (j <= -1.95e-120) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (j <= -1.15e-189) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (j <= -1.02e-231) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (j <= 6.5e-205) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (j <= 3.5e-5) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 1.8e+81) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 1.6e+219) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (j <= (-6.2d+29)) then
        tmp = (j * y5) * ((y0 * y3) - (t * i))
    else if (j <= (-1.95d-120)) then
        tmp = y * (i * ((k * y5) - (x * c)))
    else if (j <= (-1.15d-189)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (j <= (-1.02d-231)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (j <= 6.5d-205) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (j <= 3.5d-5) then
        tmp = b * (a * ((x * y) - (z * t)))
    else if (j <= 1.8d+81) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (j <= 1.6d+219) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -6.2e+29) {
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	} else if (j <= -1.95e-120) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (j <= -1.15e-189) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (j <= -1.02e-231) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (j <= 6.5e-205) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (j <= 3.5e-5) {
		tmp = b * (a * ((x * y) - (z * t)));
	} else if (j <= 1.8e+81) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 1.6e+219) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if j <= -6.2e+29:
		tmp = (j * y5) * ((y0 * y3) - (t * i))
	elif j <= -1.95e-120:
		tmp = y * (i * ((k * y5) - (x * c)))
	elif j <= -1.15e-189:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif j <= -1.02e-231:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif j <= 6.5e-205:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif j <= 3.5e-5:
		tmp = b * (a * ((x * y) - (z * t)))
	elif j <= 1.8e+81:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif j <= 1.6e+219:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (j <= -6.2e+29)
		tmp = Float64(Float64(j * y5) * Float64(Float64(y0 * y3) - Float64(t * i)));
	elseif (j <= -1.95e-120)
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (j <= -1.15e-189)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (j <= -1.02e-231)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (j <= 6.5e-205)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (j <= 3.5e-5)
		tmp = Float64(b * Float64(a * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= 1.8e+81)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (j <= 1.6e+219)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(j * Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (j <= -6.2e+29)
		tmp = (j * y5) * ((y0 * y3) - (t * i));
	elseif (j <= -1.95e-120)
		tmp = y * (i * ((k * y5) - (x * c)));
	elseif (j <= -1.15e-189)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (j <= -1.02e-231)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (j <= 6.5e-205)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (j <= 3.5e-5)
		tmp = b * (a * ((x * y) - (z * t)));
	elseif (j <= 1.8e+81)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (j <= 1.6e+219)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = j * (y3 * ((y0 * y5) - (y1 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[j, -6.2e+29], N[(N[(j * y5), $MachinePrecision] * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.95e-120], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.15e-189], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.02e-231], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6.5e-205], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.5e-5], N[(b * N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.8e+81], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.6e+219], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if j < -6.1999999999999998e29

   1. Initial program 33.3%

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

   2. Taylor expanded in j around inf 59.4%

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

   3. Taylor expanded in y5 around inf 45.6%

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

      1. associate-*r* 47.3%

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

      2. +-commutative 47.3%

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

      3. mul-1-neg 47.3%

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

      4. unsub-neg 47.3%

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

      5. *-commutative 47.3%

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

      6. *-commutative 47.3%

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

   5. Simplified 47.3%

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

   if -6.1999999999999998e29 < j < -1.9500000000000001e-120

   1. Initial program 25.4%

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

   2. Taylor expanded in y around inf 50.7%

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

   3. Taylor expanded in i around inf 54.3%

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

      1. +-commutative 54.3%

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

      2. mul-1-neg 54.3%

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

      3. unsub-neg 54.3%

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

   5. Simplified 54.3%

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

   if -1.9500000000000001e-120 < j < -1.1499999999999999e-189

   1. Initial program 38.9%

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

   2. Taylor expanded in y0 around inf 61.8%

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

   3. Taylor expanded in y2 around inf 56.6%

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

      1. +-commutative 56.6%

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

      2. mul-1-neg 56.6%

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

      3. unsub-neg 56.6%

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

   5. Simplified 56.6%

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

   if -1.1499999999999999e-189 < j < -1.02000000000000006e-231

   1. Initial program 34.9%

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

   2. Taylor expanded in y around inf 50.5%

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

   3. Taylor expanded in y3 around inf 59.7%

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

      1. *-commutative 59.7%

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

      2. *-commutative 59.7%

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

   5. Simplified 59.7%

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

   if -1.02000000000000006e-231 < j < 6.49999999999999956e-205

   1. Initial program 41.2%

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

   2. Taylor expanded in y around inf 46.2%

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

   3. Taylor expanded in t around inf 44.5%

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

   if 6.49999999999999956e-205 < j < 3.4999999999999997e-5

   1. Initial program 40.9%

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

   2. Taylor expanded in b around inf 43.3%

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

   3. Taylor expanded in a around inf 37.2%

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

      1. *-commutative 37.2%

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

   5. Simplified 37.2%

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

   if 3.4999999999999997e-5 < j < 1.80000000000000003e81

   1. Initial program 37.5%

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

   2. Taylor expanded in y0 around inf 62.8%

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

   3. Taylor expanded in c around inf 69.5%

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

   if 1.80000000000000003e81 < j < 1.60000000000000013e219

   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. Taylor expanded in j around inf 46.5%

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

   3. Taylor expanded in x around inf 58.3%

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

   if 1.60000000000000013e219 < j

   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. Taylor expanded in y around inf 37.5%

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

   3. Taylor expanded in j around inf 69.3%

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

      1. mul-1-neg 69.3%

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

      2. *-commutative 69.3%

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

      3. *-commutative 69.3%

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

      4. distribute-rgt-neg-in 69.3%

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

      5. *-commutative 69.3%

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

      6. distribute-rgt-neg-in 69.3%

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

      7. *-commutative 69.3%

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

      8. *-commutative 69.3%

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

   5. Simplified 69.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(-y3\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 50.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -6.2 \cdot 10^{+29}:\\ \;\;\;\;\left(j \cdot y5\right) \cdot \left(y0 \cdot y3 - t \cdot i\right)\\ \mathbf{elif}\;j \leq -1.95 \cdot 10^{-120}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -1.15 \cdot 10^{-189}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.02 \cdot 10^{-231}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-205}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-5}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{+81}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{+219}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \]

Alternative 21: 30.3% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;j \leq -1 \cdot 10^{-5}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.05 \cdot 10^{-136}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -9.5 \cdot 10^{-175}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-189}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{-19}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 7.6 \cdot 10^{+77}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{+223}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= j -1e-5)
   (* j (* t (- (* b y4) (* i y5))))
   (if (<= j -1.05e-136)
     (* y (* i (- (* k y5) (* x c))))
     (if (<= j -9.5e-175)
       (* a (* b (- (* x y) (* z t))))
       (if (<= j -1.55e-189)
         (* j (* y0 (* y3 y5)))
         (if (<= j 3.2e-19)
           (* y (* y3 (- (* c y4) (* a y5))))
           (if (<= j 7.6e+77)
             (* c (* y0 (- (* x y2) (* z y3))))
             (if (<= j 1.05e+223)
               (* j (* x (- (* i y1) (* b y0))))
               (* j (* y0 (- (* y3 y5) (* x b))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -1e-5) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (j <= -1.05e-136) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (j <= -9.5e-175) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (j <= -1.55e-189) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= 3.2e-19) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (j <= 7.6e+77) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 1.05e+223) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (j <= (-1d-5)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (j <= (-1.05d-136)) then
        tmp = y * (i * ((k * y5) - (x * c)))
    else if (j <= (-9.5d-175)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (j <= (-1.55d-189)) then
        tmp = j * (y0 * (y3 * y5))
    else if (j <= 3.2d-19) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (j <= 7.6d+77) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (j <= 1.05d+223) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -1e-5) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (j <= -1.05e-136) {
		tmp = y * (i * ((k * y5) - (x * c)));
	} else if (j <= -9.5e-175) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (j <= -1.55e-189) {
		tmp = j * (y0 * (y3 * y5));
	} else if (j <= 3.2e-19) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (j <= 7.6e+77) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 1.05e+223) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if j <= -1e-5:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif j <= -1.05e-136:
		tmp = y * (i * ((k * y5) - (x * c)))
	elif j <= -9.5e-175:
		tmp = a * (b * ((x * y) - (z * t)))
	elif j <= -1.55e-189:
		tmp = j * (y0 * (y3 * y5))
	elif j <= 3.2e-19:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif j <= 7.6e+77:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif j <= 1.05e+223:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (j <= -1e-5)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (j <= -1.05e-136)
		tmp = Float64(y * Float64(i * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (j <= -9.5e-175)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (j <= -1.55e-189)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (j <= 3.2e-19)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (j <= 7.6e+77)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (j <= 1.05e+223)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (j <= -1e-5)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (j <= -1.05e-136)
		tmp = y * (i * ((k * y5) - (x * c)));
	elseif (j <= -9.5e-175)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (j <= -1.55e-189)
		tmp = j * (y0 * (y3 * y5));
	elseif (j <= 3.2e-19)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (j <= 7.6e+77)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (j <= 1.05e+223)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[j, -1e-5], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.05e-136], N[(y * N[(i * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -9.5e-175], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.55e-189], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.2e-19], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 7.6e+77], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.05e+223], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if j < -1.00000000000000008e-5

   1. Initial program 34.4%

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

   2. Taylor expanded in j around inf 52.6%

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

   3. Taylor expanded in t around inf 43.4%

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

      1. *-commutative 43.4%

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

      2. *-commutative 43.4%

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

   5. Simplified 43.4%

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

   if -1.00000000000000008e-5 < j < -1.0499999999999999e-136

   1. Initial program 25.5%

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

   2. Taylor expanded in y around inf 57.8%

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

   3. Taylor expanded in i around inf 54.9%

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

      1. +-commutative 54.9%

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

      2. mul-1-neg 54.9%

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

      3. unsub-neg 54.9%

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

   5. Simplified 54.9%

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

   if -1.0499999999999999e-136 < j < -9.50000000000000052e-175

   1. Initial program 37.5%

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

   2. Taylor expanded in b around inf 64.3%

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

   3. Taylor expanded in a around inf 70.8%

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

   if -9.50000000000000052e-175 < j < -1.55e-189

   1. Initial program 33.3%

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

   2. Taylor expanded in j around inf 66.7%

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

   3. Taylor expanded in y0 around inf 34.6%

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

   4. Taylor expanded in y3 around inf 68.0%

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

   if -1.55e-189 < j < 3.19999999999999982e-19

   1. Initial program 39.5%

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

   2. Taylor expanded in y around inf 44.7%

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

   3. Taylor expanded in y3 around inf 35.9%

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

      1. *-commutative 35.9%

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

      2. *-commutative 35.9%

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

   5. Simplified 35.9%

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

   if 3.19999999999999982e-19 < j < 7.6000000000000002e77

   1. Initial program 42.1%

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

   2. Taylor expanded in y0 around inf 58.2%

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

   3. Taylor expanded in c around inf 63.8%

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

   if 7.6000000000000002e77 < j < 1.04999999999999995e223

   1. Initial program 33.3%

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

   2. Taylor expanded in j around inf 48.5%

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

   3. Taylor expanded in x around inf 56.3%

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

   if 1.04999999999999995e223 < j

   1. Initial program 13.3%

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

   2. Taylor expanded in j around inf 73.3%

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

   3. Taylor expanded in y0 around inf 55.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 46.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1 \cdot 10^{-5}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.05 \cdot 10^{-136}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -9.5 \cdot 10^{-175}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-189}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{-19}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 7.6 \cdot 10^{+77}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{+223}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]

Alternative 22: 28.8% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ t_2 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;x \leq -1.4 \cdot 10^{+19}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -8.7 \cdot 10^{-191}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-218}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.8 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+159}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{+204}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (- (* x b) (* y3 y5)))))
        (t_2 (* j (* x (- (* i y1) (* b y0))))))
   (if (<= x -1.4e+19)
     t_2
     (if (<= x -8.7e-191)
       t_1
       (if (<= x 1.5e-218)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= x 2.8e+23)
           (* a (* b (- (* x y) (* z t))))
           (if (<= x 2e+159)
             (* b (* y4 (- (* t j) (* y k))))
             (if (<= x 5.2e+204) t_1 t_2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (x <= -1.4e+19) {
		tmp = t_2;
	} else if (x <= -8.7e-191) {
		tmp = t_1;
	} else if (x <= 1.5e-218) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (x <= 2.8e+23) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (x <= 2e+159) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (x <= 5.2e+204) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * (y * ((x * b) - (y3 * y5)))
    t_2 = j * (x * ((i * y1) - (b * y0)))
    if (x <= (-1.4d+19)) then
        tmp = t_2
    else if (x <= (-8.7d-191)) then
        tmp = t_1
    else if (x <= 1.5d-218) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (x <= 2.8d+23) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (x <= 2d+159) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (x <= 5.2d+204) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (x <= -1.4e+19) {
		tmp = t_2;
	} else if (x <= -8.7e-191) {
		tmp = t_1;
	} else if (x <= 1.5e-218) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (x <= 2.8e+23) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (x <= 2e+159) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (x <= 5.2e+204) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y * ((x * b) - (y3 * y5)))
	t_2 = j * (x * ((i * y1) - (b * y0)))
	tmp = 0
	if x <= -1.4e+19:
		tmp = t_2
	elif x <= -8.7e-191:
		tmp = t_1
	elif x <= 1.5e-218:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif x <= 2.8e+23:
		tmp = a * (b * ((x * y) - (z * t)))
	elif x <= 2e+159:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif x <= 5.2e+204:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	t_2 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (x <= -1.4e+19)
		tmp = t_2;
	elseif (x <= -8.7e-191)
		tmp = t_1;
	elseif (x <= 1.5e-218)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (x <= 2.8e+23)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (x <= 2e+159)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (x <= 5.2e+204)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y * ((x * b) - (y3 * y5)));
	t_2 = j * (x * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (x <= -1.4e+19)
		tmp = t_2;
	elseif (x <= -8.7e-191)
		tmp = t_1;
	elseif (x <= 1.5e-218)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (x <= 2.8e+23)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (x <= 2e+159)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (x <= 5.2e+204)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.4e+19], t$95$2, If[LessEqual[x, -8.7e-191], t$95$1, If[LessEqual[x, 1.5e-218], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.8e+23], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2e+159], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.2e+204], t$95$1, t$95$2]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -1.4e19 or 5.2000000000000002e204 < x

   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. Taylor expanded in j around inf 45.3%

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

   3. Taylor expanded in x around inf 54.2%

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

   if -1.4e19 < x < -8.69999999999999979e-191 or 1.9999999999999999e159 < x < 5.2000000000000002e204

   1. Initial program 33.3%

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

   2. Taylor expanded in y around inf 37.5%

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

   3. Taylor expanded in a around inf 36.7%

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

   if -8.69999999999999979e-191 < x < 1.4999999999999999e-218

   1. Initial program 40.2%

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

   2. Taylor expanded in j around inf 32.5%

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

   3. Taylor expanded in t around inf 31.1%

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

      1. *-commutative 31.1%

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

      2. *-commutative 31.1%

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

   5. Simplified 31.1%

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

   if 1.4999999999999999e-218 < x < 2.8e23

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 2.8e23 < x < 1.9999999999999999e159

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 37.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 44.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 41.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.4 \cdot 10^{+19}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -8.7 \cdot 10^{-191}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-218}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.8 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+159}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{+204}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 23: 28.1% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := a \cdot \left(b \cdot t_1\right)\\ t_3 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;i \leq -5.4 \cdot 10^{+90}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-137}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.15 \cdot 10^{-251}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{-185}:\\ \;\;\;\;b \cdot \left(a \cdot t_1\right)\\ \mathbf{elif}\;i \leq 1.65 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (* a (* b t_1)))
        (t_3 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= i -5.4e+90)
     (* j (* x (- (* i y1) (* b y0))))
     (if (<= i -7.5e-23)
       t_2
       (if (<= i -3e-137)
         t_3
         (if (<= i -1.15e-251)
           (* j (* y0 (- (* y3 y5) (* x b))))
           (if (<= i 1.1e-185)
             (* b (* a t_1))
             (if (<= i 1.65e-72) 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 = (x * y) - (z * t);
	double t_2 = a * (b * t_1);
	double t_3 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (i <= -5.4e+90) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (i <= -7.5e-23) {
		tmp = t_2;
	} else if (i <= -3e-137) {
		tmp = t_3;
	} else if (i <= -1.15e-251) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (i <= 1.1e-185) {
		tmp = b * (a * t_1);
	} else if (i <= 1.65e-72) {
		tmp = 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) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = a * (b * t_1)
    t_3 = c * (y0 * ((x * y2) - (z * y3)))
    if (i <= (-5.4d+90)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (i <= (-7.5d-23)) then
        tmp = t_2
    else if (i <= (-3d-137)) then
        tmp = t_3
    else if (i <= (-1.15d-251)) then
        tmp = j * (y0 * ((y3 * y5) - (x * b)))
    else if (i <= 1.1d-185) then
        tmp = b * (a * t_1)
    else if (i <= 1.65d-72) then
        tmp = 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 = (x * y) - (z * t);
	double t_2 = a * (b * t_1);
	double t_3 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (i <= -5.4e+90) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (i <= -7.5e-23) {
		tmp = t_2;
	} else if (i <= -3e-137) {
		tmp = t_3;
	} else if (i <= -1.15e-251) {
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	} else if (i <= 1.1e-185) {
		tmp = b * (a * t_1);
	} else if (i <= 1.65e-72) {
		tmp = 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 = (x * y) - (z * t)
	t_2 = a * (b * t_1)
	t_3 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if i <= -5.4e+90:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif i <= -7.5e-23:
		tmp = t_2
	elif i <= -3e-137:
		tmp = t_3
	elif i <= -1.15e-251:
		tmp = j * (y0 * ((y3 * y5) - (x * b)))
	elif i <= 1.1e-185:
		tmp = b * (a * t_1)
	elif i <= 1.65e-72:
		tmp = 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(Float64(x * y) - Float64(z * t))
	t_2 = Float64(a * Float64(b * t_1))
	t_3 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (i <= -5.4e+90)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (i <= -7.5e-23)
		tmp = t_2;
	elseif (i <= -3e-137)
		tmp = t_3;
	elseif (i <= -1.15e-251)
		tmp = Float64(j * Float64(y0 * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (i <= 1.1e-185)
		tmp = Float64(b * Float64(a * t_1));
	elseif (i <= 1.65e-72)
		tmp = 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 = (x * y) - (z * t);
	t_2 = a * (b * t_1);
	t_3 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (i <= -5.4e+90)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (i <= -7.5e-23)
		tmp = t_2;
	elseif (i <= -3e-137)
		tmp = t_3;
	elseif (i <= -1.15e-251)
		tmp = j * (y0 * ((y3 * y5) - (x * b)));
	elseif (i <= 1.1e-185)
		tmp = b * (a * t_1);
	elseif (i <= 1.65e-72)
		tmp = 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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -5.4e+90], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -7.5e-23], t$95$2, If[LessEqual[i, -3e-137], t$95$3, If[LessEqual[i, -1.15e-251], N[(j * N[(y0 * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.1e-185], N[(b * N[(a * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.65e-72], t$95$3, t$95$2]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if i < -5.4e90

   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. Taylor expanded in j around inf 43.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in x around inf 46.0%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if -5.4e90 < i < -7.4999999999999998e-23 or 1.65e-72 < i

   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. Taylor expanded in b around inf 35.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -7.4999999999999998e-23 < i < -2.9999999999999998e-137 or 1.1e-185 < i < 1.65e-72

   1. Initial program 41.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 63.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in c around inf 51.8%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -2.9999999999999998e-137 < i < -1.15000000000000009e-251

   1. Initial program 41.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 49.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 46.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   if -1.15000000000000009e-251 < i < 1.1e-185

   1. Initial program 48.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 42.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 37.4%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 37.4%

         \[\leadsto b \cdot \left(a \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) \]

   5. Simplified 37.4%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(y \cdot x - t \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 42.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -5.4 \cdot 10^{+90}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-137}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq -1.15 \cdot 10^{-251}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{-185}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq 1.65 \cdot 10^{-72}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 24: 21.3% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{if}\;x \leq -1.4 \cdot 10^{+103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-287}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 8.5 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+90}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+134} \lor \neg \left(x \leq 1.55 \cdot 10^{+205}\right):\\ \;\;\;\;j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* (* x y) a))))
   (if (<= x -1.4e+103)
     t_1
     (if (<= x 1.7e-287)
       (* j (* y0 (* y3 y5)))
       (if (<= x 8.5e+23)
         (* a (* b (* t (- z))))
         (if (<= x 9.5e+90)
           (* b (* k (* y (- y4))))
           (if (or (<= x 7.2e+134) (not (<= x 1.55e+205)))
             (* j (* y0 (* x (- 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 = b * ((x * y) * a);
	double tmp;
	if (x <= -1.4e+103) {
		tmp = t_1;
	} else if (x <= 1.7e-287) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 8.5e+23) {
		tmp = a * (b * (t * -z));
	} else if (x <= 9.5e+90) {
		tmp = b * (k * (y * -y4));
	} else if ((x <= 7.2e+134) || !(x <= 1.55e+205)) {
		tmp = j * (y0 * (x * -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 = b * ((x * y) * a)
    if (x <= (-1.4d+103)) then
        tmp = t_1
    else if (x <= 1.7d-287) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 8.5d+23) then
        tmp = a * (b * (t * -z))
    else if (x <= 9.5d+90) then
        tmp = b * (k * (y * -y4))
    else if ((x <= 7.2d+134) .or. (.not. (x <= 1.55d+205))) then
        tmp = j * (y0 * (x * -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 = b * ((x * y) * a);
	double tmp;
	if (x <= -1.4e+103) {
		tmp = t_1;
	} else if (x <= 1.7e-287) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 8.5e+23) {
		tmp = a * (b * (t * -z));
	} else if (x <= 9.5e+90) {
		tmp = b * (k * (y * -y4));
	} else if ((x <= 7.2e+134) || !(x <= 1.55e+205)) {
		tmp = j * (y0 * (x * -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 = b * ((x * y) * a)
	tmp = 0
	if x <= -1.4e+103:
		tmp = t_1
	elif x <= 1.7e-287:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 8.5e+23:
		tmp = a * (b * (t * -z))
	elif x <= 9.5e+90:
		tmp = b * (k * (y * -y4))
	elif (x <= 7.2e+134) or not (x <= 1.55e+205):
		tmp = j * (y0 * (x * -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(b * Float64(Float64(x * y) * a))
	tmp = 0.0
	if (x <= -1.4e+103)
		tmp = t_1;
	elseif (x <= 1.7e-287)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 8.5e+23)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	elseif (x <= 9.5e+90)
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	elseif ((x <= 7.2e+134) || !(x <= 1.55e+205))
		tmp = Float64(j * Float64(y0 * Float64(x * Float64(-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 = b * ((x * y) * a);
	tmp = 0.0;
	if (x <= -1.4e+103)
		tmp = t_1;
	elseif (x <= 1.7e-287)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 8.5e+23)
		tmp = a * (b * (t * -z));
	elseif (x <= 9.5e+90)
		tmp = b * (k * (y * -y4));
	elseif ((x <= 7.2e+134) || ~((x <= 1.55e+205)))
		tmp = j * (y0 * (x * -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[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.4e+103], t$95$1, If[LessEqual[x, 1.7e-287], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.5e+23], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 9.5e+90], N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[x, 7.2e+134], N[Not[LessEqual[x, 1.55e+205]], $MachinePrecision]], N[(j * N[(y0 * N[(x * (-b)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -1.40000000000000004e103 or 7.19999999999999976e134 < x < 1.55000000000000009e205

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 42.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 35.0%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 35.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 35.0%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   7. Taylor expanded in a around 0 35.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 35.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(x \cdot y\right) \cdot b\right)} \]

      2. associate-*r* 36.7%

         \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   9. Simplified 36.7%

      \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   if -1.40000000000000004e103 < x < 1.6999999999999999e-287

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 32.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around inf 25.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.6999999999999999e-287 < x < 8.5000000000000001e23

   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. Taylor expanded in b around inf 32.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 32.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around 0 30.2%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 30.2%

         \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot b\right) \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 30.2%

         \[\leadsto a \cdot \left(\color{blue}{\left(-b\right)} \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 30.2%

         \[\leadsto a \cdot \left(\left(-b\right) \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   6. Simplified 30.2%

      \[\leadsto a \cdot \color{blue}{\left(\left(-b\right) \cdot \left(z \cdot t\right)\right)} \]

   if 8.5000000000000001e23 < x < 9.4999999999999994e90

   1. Initial program 55.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 34.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 39.7%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 29.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around inf 45.5%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto \color{blue}{-b \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 45.5%

         \[\leadsto \color{blue}{b \cdot \left(-k \cdot \left(y \cdot y4\right)\right)} \]

      3. *-commutative 45.5%

         \[\leadsto b \cdot \left(-\color{blue}{\left(y \cdot y4\right) \cdot k}\right) \]

   8. Simplified 45.5%

      \[\leadsto \color{blue}{b \cdot \left(-\left(y \cdot y4\right) \cdot k\right)} \]

   if 9.4999999999999994e90 < x < 7.19999999999999976e134 or 1.55000000000000009e205 < x

   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. Taylor expanded in j around inf 39.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 33.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around 0 36.9%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(x \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.9%

         \[\leadsto j \cdot \color{blue}{\left(-b \cdot \left(x \cdot y0\right)\right)} \]

      2. associate-*r* 36.9%

         \[\leadsto j \cdot \left(-\color{blue}{\left(b \cdot x\right) \cdot y0}\right) \]

      3. distribute-rgt-neg-in 36.9%

         \[\leadsto j \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot \left(-y0\right)\right)} \]

   6. Simplified 36.9%

      \[\leadsto j \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot \left(-y0\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.4 \cdot 10^{+103}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-287}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 8.5 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+90}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+134} \lor \neg \left(x \leq 1.55 \cdot 10^{+205}\right):\\ \;\;\;\;j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \]

Alternative 25: 21.7% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{if}\;x \leq -0.11:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.9 \cdot 10^{-225}:\\ \;\;\;\;y \cdot \left(a \cdot \left(-y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+90}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.32 \cdot 10^{+136} \lor \neg \left(x \leq 2.25 \cdot 10^{+209}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* y0 (* x (- b))))))
   (if (<= x -0.11)
     t_1
     (if (<= x 4.9e-225)
       (* y (* a (- (* y3 y5))))
       (if (<= x 5.8e+23)
         (* a (* b (* t (- z))))
         (if (<= x 5.5e+90)
           (* b (* k (* y (- y4))))
           (if (or (<= x 1.32e+136) (not (<= x 2.25e+209)))
             t_1
             (* b (* (* x y) a)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y0 * (x * -b));
	double tmp;
	if (x <= -0.11) {
		tmp = t_1;
	} else if (x <= 4.9e-225) {
		tmp = y * (a * -(y3 * y5));
	} else if (x <= 5.8e+23) {
		tmp = a * (b * (t * -z));
	} else if (x <= 5.5e+90) {
		tmp = b * (k * (y * -y4));
	} else if ((x <= 1.32e+136) || !(x <= 2.25e+209)) {
		tmp = t_1;
	} else {
		tmp = b * ((x * y) * a);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = j * (y0 * (x * -b))
    if (x <= (-0.11d0)) then
        tmp = t_1
    else if (x <= 4.9d-225) then
        tmp = y * (a * -(y3 * y5))
    else if (x <= 5.8d+23) then
        tmp = a * (b * (t * -z))
    else if (x <= 5.5d+90) then
        tmp = b * (k * (y * -y4))
    else if ((x <= 1.32d+136) .or. (.not. (x <= 2.25d+209))) then
        tmp = t_1
    else
        tmp = b * ((x * y) * a)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y0 * (x * -b));
	double tmp;
	if (x <= -0.11) {
		tmp = t_1;
	} else if (x <= 4.9e-225) {
		tmp = y * (a * -(y3 * y5));
	} else if (x <= 5.8e+23) {
		tmp = a * (b * (t * -z));
	} else if (x <= 5.5e+90) {
		tmp = b * (k * (y * -y4));
	} else if ((x <= 1.32e+136) || !(x <= 2.25e+209)) {
		tmp = t_1;
	} else {
		tmp = b * ((x * y) * a);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (y0 * (x * -b))
	tmp = 0
	if x <= -0.11:
		tmp = t_1
	elif x <= 4.9e-225:
		tmp = y * (a * -(y3 * y5))
	elif x <= 5.8e+23:
		tmp = a * (b * (t * -z))
	elif x <= 5.5e+90:
		tmp = b * (k * (y * -y4))
	elif (x <= 1.32e+136) or not (x <= 2.25e+209):
		tmp = t_1
	else:
		tmp = b * ((x * y) * a)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(y0 * Float64(x * Float64(-b))))
	tmp = 0.0
	if (x <= -0.11)
		tmp = t_1;
	elseif (x <= 4.9e-225)
		tmp = Float64(y * Float64(a * Float64(-Float64(y3 * y5))));
	elseif (x <= 5.8e+23)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	elseif (x <= 5.5e+90)
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	elseif ((x <= 1.32e+136) || !(x <= 2.25e+209))
		tmp = t_1;
	else
		tmp = Float64(b * Float64(Float64(x * y) * a));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (y0 * (x * -b));
	tmp = 0.0;
	if (x <= -0.11)
		tmp = t_1;
	elseif (x <= 4.9e-225)
		tmp = y * (a * -(y3 * y5));
	elseif (x <= 5.8e+23)
		tmp = a * (b * (t * -z));
	elseif (x <= 5.5e+90)
		tmp = b * (k * (y * -y4));
	elseif ((x <= 1.32e+136) || ~((x <= 2.25e+209)))
		tmp = t_1;
	else
		tmp = b * ((x * y) * a);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(y0 * N[(x * (-b)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -0.11], t$95$1, If[LessEqual[x, 4.9e-225], N[(y * N[(a * (-N[(y3 * y5), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.8e+23], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.5e+90], N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[x, 1.32e+136], N[Not[LessEqual[x, 2.25e+209]], $MachinePrecision]], t$95$1, N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -0.110000000000000001 or 5.49999999999999999e90 < x < 1.32e136 or 2.2500000000000002e209 < x

   1. Initial program 29.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 40.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 35.8%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around 0 34.5%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(x \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 34.5%

         \[\leadsto j \cdot \color{blue}{\left(-b \cdot \left(x \cdot y0\right)\right)} \]

      2. associate-*r* 32.4%

         \[\leadsto j \cdot \left(-\color{blue}{\left(b \cdot x\right) \cdot y0}\right) \]

      3. distribute-rgt-neg-in 32.4%

         \[\leadsto j \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot \left(-y0\right)\right)} \]

   6. Simplified 32.4%

      \[\leadsto j \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot \left(-y0\right)\right)} \]

   if -0.110000000000000001 < x < 4.89999999999999971e-225

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 33.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 26.5%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around 0 25.3%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 25.3%

         \[\leadsto y \cdot \color{blue}{\left(-a \cdot \left(y3 \cdot y5\right)\right)} \]

      2. *-commutative 25.3%

         \[\leadsto y \cdot \left(-\color{blue}{\left(y3 \cdot y5\right) \cdot a}\right) \]

      3. distribute-rgt-neg-in 25.3%

         \[\leadsto y \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot \left(-a\right)\right)} \]

   6. Simplified 25.3%

      \[\leadsto y \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot \left(-a\right)\right)} \]

   if 4.89999999999999971e-225 < x < 5.80000000000000025e23

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around 0 33.6%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 33.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot b\right) \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 33.6%

         \[\leadsto a \cdot \left(\color{blue}{\left(-b\right)} \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 33.6%

         \[\leadsto a \cdot \left(\left(-b\right) \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   6. Simplified 33.6%

      \[\leadsto a \cdot \color{blue}{\left(\left(-b\right) \cdot \left(z \cdot t\right)\right)} \]

   if 5.80000000000000025e23 < x < 5.49999999999999999e90

   1. Initial program 55.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 34.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 39.7%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 29.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around inf 45.5%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto \color{blue}{-b \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 45.5%

         \[\leadsto \color{blue}{b \cdot \left(-k \cdot \left(y \cdot y4\right)\right)} \]

      3. *-commutative 45.5%

         \[\leadsto b \cdot \left(-\color{blue}{\left(y \cdot y4\right) \cdot k}\right) \]

   8. Simplified 45.5%

      \[\leadsto \color{blue}{b \cdot \left(-\left(y \cdot y4\right) \cdot k\right)} \]

   if 1.32e136 < x < 2.2500000000000002e209

   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. Taylor expanded in b around inf 27.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 51.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 43.4%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 43.4%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 43.4%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   7. Taylor expanded in a around 0 43.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 43.4%

         \[\leadsto a \cdot \color{blue}{\left(\left(x \cdot y\right) \cdot b\right)} \]

      2. associate-*r* 51.2%

         \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   9. Simplified 51.2%

      \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]
3. Recombined 5 regimes into one program.

4. Final simplification 32.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -0.11:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;x \leq 4.9 \cdot 10^{-225}:\\ \;\;\;\;y \cdot \left(a \cdot \left(-y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+90}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.32 \cdot 10^{+136} \lor \neg \left(x \leq 2.25 \cdot 10^{+209}\right):\\ \;\;\;\;j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \]

Alternative 26: 28.5% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ \mathbf{if}\;t \leq -2.9 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(b \cdot t_1\right)\\ \mathbf{elif}\;t \leq -560000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-215} \lor \neg \left(t \leq 0.054\right):\\ \;\;\;\;b \cdot \left(a \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t))))
   (if (<= t -2.9e+72)
     (* a (* b t_1))
     (if (<= t -560000.0)
       (* b (* y4 (- (* t j) (* y k))))
       (if (or (<= t -1.15e-215) (not (<= t 0.054)))
         (* b (* a t_1))
         (* a (* y (- (* x b) (* y3 y5)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (t <= -2.9e+72) {
		tmp = a * (b * t_1);
	} else if (t <= -560000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if ((t <= -1.15e-215) || !(t <= 0.054)) {
		tmp = b * (a * t_1);
	} else {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    if (t <= (-2.9d+72)) then
        tmp = a * (b * t_1)
    else if (t <= (-560000.0d0)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if ((t <= (-1.15d-215)) .or. (.not. (t <= 0.054d0))) then
        tmp = b * (a * t_1)
    else
        tmp = a * (y * ((x * b) - (y3 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (t <= -2.9e+72) {
		tmp = a * (b * t_1);
	} else if (t <= -560000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if ((t <= -1.15e-215) || !(t <= 0.054)) {
		tmp = b * (a * t_1);
	} else {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	tmp = 0
	if t <= -2.9e+72:
		tmp = a * (b * t_1)
	elif t <= -560000.0:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif (t <= -1.15e-215) or not (t <= 0.054):
		tmp = b * (a * t_1)
	else:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (t <= -2.9e+72)
		tmp = Float64(a * Float64(b * t_1));
	elseif (t <= -560000.0)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif ((t <= -1.15e-215) || !(t <= 0.054))
		tmp = Float64(b * Float64(a * t_1));
	else
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	tmp = 0.0;
	if (t <= -2.9e+72)
		tmp = a * (b * t_1);
	elseif (t <= -560000.0)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif ((t <= -1.15e-215) || ~((t <= 0.054)))
		tmp = b * (a * t_1);
	else
		tmp = a * (y * ((x * b) - (y3 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.9e+72], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -560000.0], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[t, -1.15e-215], N[Not[LessEqual[t, 0.054]], $MachinePrecision]], N[(b * N[(a * t$95$1), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 4 regimes

2. if t < -2.90000000000000017e72

   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. Taylor expanded in b around inf 34.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 48.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.90000000000000017e72 < t < -5.6e5

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 35.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 59.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -5.6e5 < t < -1.15e-215 or 0.0539999999999999994 < t

   1. Initial program 36.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 28.3%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 28.3%

         \[\leadsto b \cdot \left(a \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) \]

   5. Simplified 28.3%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if -1.15e-215 < t < 0.0539999999999999994

   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. Taylor expanded in y around inf 43.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 37.8%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 37.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.9 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;t \leq -560000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-215} \lor \neg \left(t \leq 0.054\right):\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]

Alternative 27: 25.6% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;c \leq -2.15 \cdot 10^{+280}:\\ \;\;\;\;c \cdot \left(\left(z \cdot y3\right) \cdot \left(-y0\right)\right)\\ \mathbf{elif}\;c \leq -6.4 \cdot 10^{-16}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-235}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+194}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y3\right) \cdot \left(y \cdot y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t))))))
   (if (<= c -2.15e+280)
     (* c (* (* z y3) (- y0)))
     (if (<= c -6.4e-16)
       t_1
       (if (<= c -4e-235)
         (* b (* (* y k) (- y4)))
         (if (<= c 1.5e+194) t_1 (* (* c y3) (* y y4))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (c <= -2.15e+280) {
		tmp = c * ((z * y3) * -y0);
	} else if (c <= -6.4e-16) {
		tmp = t_1;
	} else if (c <= -4e-235) {
		tmp = b * ((y * k) * -y4);
	} else if (c <= 1.5e+194) {
		tmp = t_1;
	} else {
		tmp = (c * y3) * (y * y4);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * ((x * y) - (z * t)))
    if (c <= (-2.15d+280)) then
        tmp = c * ((z * y3) * -y0)
    else if (c <= (-6.4d-16)) then
        tmp = t_1
    else if (c <= (-4d-235)) then
        tmp = b * ((y * k) * -y4)
    else if (c <= 1.5d+194) then
        tmp = t_1
    else
        tmp = (c * y3) * (y * y4)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (c <= -2.15e+280) {
		tmp = c * ((z * y3) * -y0);
	} else if (c <= -6.4e-16) {
		tmp = t_1;
	} else if (c <= -4e-235) {
		tmp = b * ((y * k) * -y4);
	} else if (c <= 1.5e+194) {
		tmp = t_1;
	} else {
		tmp = (c * y3) * (y * y4);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if c <= -2.15e+280:
		tmp = c * ((z * y3) * -y0)
	elif c <= -6.4e-16:
		tmp = t_1
	elif c <= -4e-235:
		tmp = b * ((y * k) * -y4)
	elif c <= 1.5e+194:
		tmp = t_1
	else:
		tmp = (c * y3) * (y * y4)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (c <= -2.15e+280)
		tmp = Float64(c * Float64(Float64(z * y3) * Float64(-y0)));
	elseif (c <= -6.4e-16)
		tmp = t_1;
	elseif (c <= -4e-235)
		tmp = Float64(b * Float64(Float64(y * k) * Float64(-y4)));
	elseif (c <= 1.5e+194)
		tmp = t_1;
	else
		tmp = Float64(Float64(c * y3) * Float64(y * y4));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (c <= -2.15e+280)
		tmp = c * ((z * y3) * -y0);
	elseif (c <= -6.4e-16)
		tmp = t_1;
	elseif (c <= -4e-235)
		tmp = b * ((y * k) * -y4);
	elseif (c <= 1.5e+194)
		tmp = t_1;
	else
		tmp = (c * y3) * (y * y4);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -2.15e+280], N[(c * N[(N[(z * y3), $MachinePrecision] * (-y0)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -6.4e-16], t$95$1, If[LessEqual[c, -4e-235], N[(b * N[(N[(y * k), $MachinePrecision] * (-y4)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.5e+194], t$95$1, N[(N[(c * y3), $MachinePrecision] * N[(y * y4), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if c < -2.14999999999999983e280

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y3 around -inf 71.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in c around inf 85.7%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y3 \cdot \left(y0 \cdot z - y \cdot y4\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 85.7%

         \[\leadsto -1 \cdot \left(c \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y0} - y \cdot y4\right)\right)\right) \]

   5. Simplified 85.7%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y3 \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\right)} \]

   6. Taylor expanded in z around inf 71.9%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y0 \cdot \left(y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 71.9%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(y3 \cdot z\right) \cdot y0\right)}\right) \]

   8. Simplified 71.9%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y3 \cdot z\right) \cdot y0\right)\right)} \]

   if -2.14999999999999983e280 < c < -6.40000000000000046e-16 or -3.9999999999999998e-235 < c < 1.5000000000000002e194

   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. Taylor expanded in b around inf 34.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 35.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -6.40000000000000046e-16 < c < -3.9999999999999998e-235

   1. Initial program 44.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 34.2%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 28.5%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 28.5%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 28.5%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 28.5%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 28.5%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 28.5%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around inf 28.1%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 28.1%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. neg-mul-1 28.1%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(k \cdot \left(y \cdot y4\right)\right) \]

      3. associate-*r* 32.1%

         \[\leadsto \left(-b\right) \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y4\right)} \]

   8. Simplified 32.1%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(\left(k \cdot y\right) \cdot y4\right)} \]

   if 1.5000000000000002e194 < c

   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. Taylor expanded in y around inf 31.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 39.8%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 35.7%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 35.7%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 35.7%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 35.7%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 35.7%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 35.7%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around 0 40.2%

      \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot y3\right)\right)}\right) \]
   7. Step-by-step derivation

      1. mul-1-neg 40.2%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \color{blue}{\left(-c \cdot y3\right)}\right) \]

      2. *-commutative 40.2%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(-\color{blue}{y3 \cdot c}\right)\right) \]

      3. distribute-rgt-neg-in 40.2%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \color{blue}{\left(y3 \cdot \left(-c\right)\right)}\right) \]

   8. Simplified 40.2%

      \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \color{blue}{\left(y3 \cdot \left(-c\right)\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 36.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -2.15 \cdot 10^{+280}:\\ \;\;\;\;c \cdot \left(\left(z \cdot y3\right) \cdot \left(-y0\right)\right)\\ \mathbf{elif}\;c \leq -6.4 \cdot 10^{-16}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-235}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+194}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y3\right) \cdot \left(y \cdot y4\right)\\ \end{array} \]

Alternative 28: 30.3% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ \mathbf{if}\;t \leq -2.7 \cdot 10^{+73}:\\ \;\;\;\;a \cdot \left(b \cdot t_1\right)\\ \mathbf{elif}\;t \leq -510000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-214}:\\ \;\;\;\;b \cdot \left(a \cdot t_1\right)\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{+49}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t))))
   (if (<= t -2.7e+73)
     (* a (* b t_1))
     (if (<= t -510000.0)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= t -1.6e-214)
         (* b (* a t_1))
         (if (<= t 2.9e+49)
           (* a (* y (- (* x b) (* y3 y5))))
           (* 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 = (x * y) - (z * t);
	double tmp;
	if (t <= -2.7e+73) {
		tmp = a * (b * t_1);
	} else if (t <= -510000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (t <= -1.6e-214) {
		tmp = b * (a * t_1);
	} else if (t <= 2.9e+49) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} 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 = (x * y) - (z * t)
    if (t <= (-2.7d+73)) then
        tmp = a * (b * t_1)
    else if (t <= (-510000.0d0)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (t <= (-1.6d-214)) then
        tmp = b * (a * t_1)
    else if (t <= 2.9d+49) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    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 = (x * y) - (z * t);
	double tmp;
	if (t <= -2.7e+73) {
		tmp = a * (b * t_1);
	} else if (t <= -510000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (t <= -1.6e-214) {
		tmp = b * (a * t_1);
	} else if (t <= 2.9e+49) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} 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 = (x * y) - (z * t)
	tmp = 0
	if t <= -2.7e+73:
		tmp = a * (b * t_1)
	elif t <= -510000.0:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif t <= -1.6e-214:
		tmp = b * (a * t_1)
	elif t <= 2.9e+49:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	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(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (t <= -2.7e+73)
		tmp = Float64(a * Float64(b * t_1));
	elseif (t <= -510000.0)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (t <= -1.6e-214)
		tmp = Float64(b * Float64(a * t_1));
	elseif (t <= 2.9e+49)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	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 = (x * y) - (z * t);
	tmp = 0.0;
	if (t <= -2.7e+73)
		tmp = a * (b * t_1);
	elseif (t <= -510000.0)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (t <= -1.6e-214)
		tmp = b * (a * t_1);
	elseif (t <= 2.9e+49)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.7e+73], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -510000.0], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.6e-214], N[(b * N[(a * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.9e+49], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -2.6999999999999999e73

   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. Taylor expanded in b around inf 34.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 48.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.6999999999999999e73 < t < -5.1e5

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 35.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 59.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -5.1e5 < t < -1.60000000000000007e-214

   1. Initial program 47.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 30.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 26.0%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 26.0%

         \[\leadsto b \cdot \left(a \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) \]

   5. Simplified 26.0%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if -1.60000000000000007e-214 < t < 2.9e49

   1. Initial program 38.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 44.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 36.3%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if 2.9e49 < t

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 40.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in t around inf 43.0%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 43.0%

         \[\leadsto j \cdot \left(t \cdot \left(\color{blue}{y4 \cdot b} - i \cdot y5\right)\right) \]

      2. *-commutative 43.0%

         \[\leadsto j \cdot \left(t \cdot \left(y4 \cdot b - \color{blue}{y5 \cdot i}\right)\right) \]

   5. Simplified 43.0%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(y4 \cdot b - y5 \cdot i\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 39.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.7 \cdot 10^{+73}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;t \leq -510000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-214}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{+49}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \]

Alternative 29: 21.4% accurate, 5.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{if}\;b \leq -2.7 \cdot 10^{+96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{-241}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-154}:\\ \;\;\;\;c \cdot \left(\left(z \cdot y3\right) \cdot \left(-y0\right)\right)\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{+32}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(a \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.22 \cdot 10^{+196}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(x \cdot \left(-j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (* t (- z))))))
   (if (<= b -2.7e+96)
     t_1
     (if (<= b -2.4e-241)
       (* j (* y0 (* y3 y5)))
       (if (<= b 1.1e-154)
         (* c (* (* z y3) (- y0)))
         (if (<= b 3.5e+32)
           (* y (* y5 (* a (- y3))))
           (if (<= b 1.22e+196) (* (* b y0) (* x (- j))) 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 * (b * (t * -z));
	double tmp;
	if (b <= -2.7e+96) {
		tmp = t_1;
	} else if (b <= -2.4e-241) {
		tmp = j * (y0 * (y3 * y5));
	} else if (b <= 1.1e-154) {
		tmp = c * ((z * y3) * -y0);
	} else if (b <= 3.5e+32) {
		tmp = y * (y5 * (a * -y3));
	} else if (b <= 1.22e+196) {
		tmp = (b * y0) * (x * -j);
	} 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 * (b * (t * -z))
    if (b <= (-2.7d+96)) then
        tmp = t_1
    else if (b <= (-2.4d-241)) then
        tmp = j * (y0 * (y3 * y5))
    else if (b <= 1.1d-154) then
        tmp = c * ((z * y3) * -y0)
    else if (b <= 3.5d+32) then
        tmp = y * (y5 * (a * -y3))
    else if (b <= 1.22d+196) then
        tmp = (b * y0) * (x * -j)
    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 * (b * (t * -z));
	double tmp;
	if (b <= -2.7e+96) {
		tmp = t_1;
	} else if (b <= -2.4e-241) {
		tmp = j * (y0 * (y3 * y5));
	} else if (b <= 1.1e-154) {
		tmp = c * ((z * y3) * -y0);
	} else if (b <= 3.5e+32) {
		tmp = y * (y5 * (a * -y3));
	} else if (b <= 1.22e+196) {
		tmp = (b * y0) * (x * -j);
	} 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 * (b * (t * -z))
	tmp = 0
	if b <= -2.7e+96:
		tmp = t_1
	elif b <= -2.4e-241:
		tmp = j * (y0 * (y3 * y5))
	elif b <= 1.1e-154:
		tmp = c * ((z * y3) * -y0)
	elif b <= 3.5e+32:
		tmp = y * (y5 * (a * -y3))
	elif b <= 1.22e+196:
		tmp = (b * y0) * (x * -j)
	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(b * Float64(t * Float64(-z))))
	tmp = 0.0
	if (b <= -2.7e+96)
		tmp = t_1;
	elseif (b <= -2.4e-241)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (b <= 1.1e-154)
		tmp = Float64(c * Float64(Float64(z * y3) * Float64(-y0)));
	elseif (b <= 3.5e+32)
		tmp = Float64(y * Float64(y5 * Float64(a * Float64(-y3))));
	elseif (b <= 1.22e+196)
		tmp = Float64(Float64(b * y0) * Float64(x * Float64(-j)));
	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 * (b * (t * -z));
	tmp = 0.0;
	if (b <= -2.7e+96)
		tmp = t_1;
	elseif (b <= -2.4e-241)
		tmp = j * (y0 * (y3 * y5));
	elseif (b <= 1.1e-154)
		tmp = c * ((z * y3) * -y0);
	elseif (b <= 3.5e+32)
		tmp = y * (y5 * (a * -y3));
	elseif (b <= 1.22e+196)
		tmp = (b * y0) * (x * -j);
	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[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.7e+96], t$95$1, If[LessEqual[b, -2.4e-241], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.1e-154], N[(c * N[(N[(z * y3), $MachinePrecision] * (-y0)), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.5e+32], N[(y * N[(y5 * N[(a * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.22e+196], N[(N[(b * y0), $MachinePrecision] * N[(x * (-j)), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if b < -2.70000000000000022e96 or 1.21999999999999995e196 < b

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 61.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 60.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around 0 44.9%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 44.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot b\right) \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 44.9%

         \[\leadsto a \cdot \left(\color{blue}{\left(-b\right)} \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 44.9%

         \[\leadsto a \cdot \left(\left(-b\right) \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   6. Simplified 44.9%

      \[\leadsto a \cdot \color{blue}{\left(\left(-b\right) \cdot \left(z \cdot t\right)\right)} \]

   if -2.70000000000000022e96 < b < -2.4e-241

   1. Initial program 44.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 34.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 33.7%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around inf 26.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if -2.4e-241 < b < 1.10000000000000004e-154

   1. Initial program 34.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y3 around -inf 34.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in c around inf 25.7%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y3 \cdot \left(y0 \cdot z - y \cdot y4\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 25.7%

         \[\leadsto -1 \cdot \left(c \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y0} - y \cdot y4\right)\right)\right) \]

   5. Simplified 25.7%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y3 \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\right)} \]

   6. Taylor expanded in z around inf 27.6%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(y0 \cdot \left(y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 27.6%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(y3 \cdot z\right) \cdot y0\right)}\right) \]

   8. Simplified 27.6%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y3 \cdot z\right) \cdot y0\right)\right)} \]

   if 1.10000000000000004e-154 < b < 3.5000000000000001e32

   1. Initial program 31.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 48.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 27.1%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around 0 23.1%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 23.1%

         \[\leadsto y \cdot \color{blue}{\left(-a \cdot \left(y3 \cdot y5\right)\right)} \]

      2. associate-*r* 27.7%

         \[\leadsto y \cdot \left(-\color{blue}{\left(a \cdot y3\right) \cdot y5}\right) \]

   6. Simplified 27.7%

      \[\leadsto y \cdot \color{blue}{\left(-\left(a \cdot y3\right) \cdot y5\right)} \]

   if 3.5000000000000001e32 < b < 1.21999999999999995e196

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 39.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 31.8%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 34.4%

         \[\leadsto \color{blue}{\left(b \cdot y0\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      2. *-commutative 34.4%

         \[\leadsto \color{blue}{\left(y0 \cdot b\right)} \cdot \left(k \cdot z - j \cdot x\right) \]

   5. Simplified 34.4%

      \[\leadsto \color{blue}{\left(y0 \cdot b\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   6. Taylor expanded in k around 0 32.1%

      \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(-1 \cdot \left(j \cdot x\right)\right)} \]
   7. Step-by-step derivation

      1. neg-mul-1 32.1%

         \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(-j \cdot x\right)} \]

      2. distribute-rgt-neg-in 32.1%

         \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(j \cdot \left(-x\right)\right)} \]

   8. Simplified 32.1%

      \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(j \cdot \left(-x\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.7 \cdot 10^{+96}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{-241}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-154}:\\ \;\;\;\;c \cdot \left(\left(z \cdot y3\right) \cdot \left(-y0\right)\right)\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{+32}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(a \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.22 \cdot 10^{+196}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(x \cdot \left(-j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \end{array} \]

Alternative 30: 21.6% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{if}\;x \leq -3 \cdot 10^{+103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 10^{-287}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{+24}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 2.55 \cdot 10^{+98}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 2.05 \cdot 10^{+125}:\\ \;\;\;\;\left(z \cdot k\right) \cdot \left(b \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* (* x y) a))))
   (if (<= x -3e+103)
     t_1
     (if (<= x 1e-287)
       (* j (* y0 (* y3 y5)))
       (if (<= x 1.15e+24)
         (* a (* b (* t (- z))))
         (if (<= x 2.55e+98)
           (* b (* k (* y (- y4))))
           (if (<= x 2.05e+125) (* (* z k) (* 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 = b * ((x * y) * a);
	double tmp;
	if (x <= -3e+103) {
		tmp = t_1;
	} else if (x <= 1e-287) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 1.15e+24) {
		tmp = a * (b * (t * -z));
	} else if (x <= 2.55e+98) {
		tmp = b * (k * (y * -y4));
	} else if (x <= 2.05e+125) {
		tmp = (z * k) * (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 = b * ((x * y) * a)
    if (x <= (-3d+103)) then
        tmp = t_1
    else if (x <= 1d-287) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 1.15d+24) then
        tmp = a * (b * (t * -z))
    else if (x <= 2.55d+98) then
        tmp = b * (k * (y * -y4))
    else if (x <= 2.05d+125) then
        tmp = (z * k) * (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 = b * ((x * y) * a);
	double tmp;
	if (x <= -3e+103) {
		tmp = t_1;
	} else if (x <= 1e-287) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 1.15e+24) {
		tmp = a * (b * (t * -z));
	} else if (x <= 2.55e+98) {
		tmp = b * (k * (y * -y4));
	} else if (x <= 2.05e+125) {
		tmp = (z * k) * (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 = b * ((x * y) * a)
	tmp = 0
	if x <= -3e+103:
		tmp = t_1
	elif x <= 1e-287:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 1.15e+24:
		tmp = a * (b * (t * -z))
	elif x <= 2.55e+98:
		tmp = b * (k * (y * -y4))
	elif x <= 2.05e+125:
		tmp = (z * k) * (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(b * Float64(Float64(x * y) * a))
	tmp = 0.0
	if (x <= -3e+103)
		tmp = t_1;
	elseif (x <= 1e-287)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 1.15e+24)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	elseif (x <= 2.55e+98)
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	elseif (x <= 2.05e+125)
		tmp = Float64(Float64(z * k) * 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 = b * ((x * y) * a);
	tmp = 0.0;
	if (x <= -3e+103)
		tmp = t_1;
	elseif (x <= 1e-287)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 1.15e+24)
		tmp = a * (b * (t * -z));
	elseif (x <= 2.55e+98)
		tmp = b * (k * (y * -y4));
	elseif (x <= 2.05e+125)
		tmp = (z * k) * (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[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3e+103], t$95$1, If[LessEqual[x, 1e-287], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.15e+24], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.55e+98], N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.05e+125], N[(N[(z * k), $MachinePrecision] * N[(b * y0), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -3e103 or 2.04999999999999996e125 < x

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 30.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 31.1%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 31.1%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 31.1%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   7. Taylor expanded in a around 0 31.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 31.1%

         \[\leadsto a \cdot \color{blue}{\left(\left(x \cdot y\right) \cdot b\right)} \]

      2. associate-*r* 32.4%

         \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   9. Simplified 32.4%

      \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   if -3e103 < x < 1.00000000000000002e-287

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 32.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around inf 25.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.00000000000000002e-287 < x < 1.15e24

   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. Taylor expanded in b around inf 32.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 32.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around 0 30.2%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 30.2%

         \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot b\right) \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 30.2%

         \[\leadsto a \cdot \left(\color{blue}{\left(-b\right)} \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 30.2%

         \[\leadsto a \cdot \left(\left(-b\right) \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   6. Simplified 30.2%

      \[\leadsto a \cdot \color{blue}{\left(\left(-b\right) \cdot \left(z \cdot t\right)\right)} \]

   if 1.15e24 < x < 2.54999999999999994e98

   1. Initial program 55.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 34.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 39.7%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 29.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around inf 45.5%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto \color{blue}{-b \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 45.5%

         \[\leadsto \color{blue}{b \cdot \left(-k \cdot \left(y \cdot y4\right)\right)} \]

      3. *-commutative 45.5%

         \[\leadsto b \cdot \left(-\color{blue}{\left(y \cdot y4\right) \cdot k}\right) \]

   8. Simplified 45.5%

      \[\leadsto \color{blue}{b \cdot \left(-\left(y \cdot y4\right) \cdot k\right)} \]

   if 2.54999999999999994e98 < x < 2.04999999999999996e125

   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. Taylor expanded in b around inf 36.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 37.4%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 37.3%

         \[\leadsto \color{blue}{\left(b \cdot y0\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      2. *-commutative 37.3%

         \[\leadsto \color{blue}{\left(y0 \cdot b\right)} \cdot \left(k \cdot z - j \cdot x\right) \]

   5. Simplified 37.3%

      \[\leadsto \color{blue}{\left(y0 \cdot b\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   6. Taylor expanded in k around inf 28.4%

      \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(k \cdot z\right)} \]
   7. Step-by-step derivation

      1. *-commutative 28.4%

         \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(z \cdot k\right)} \]

   8. Simplified 28.4%

      \[\leadsto \left(y0 \cdot b\right) \cdot \color{blue}{\left(z \cdot k\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 30.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3 \cdot 10^{+103}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq 10^{-287}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{+24}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 2.55 \cdot 10^{+98}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 2.05 \cdot 10^{+125}:\\ \;\;\;\;\left(z \cdot k\right) \cdot \left(b \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \]

Alternative 31: 21.9% accurate, 5.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -0.09:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-226}:\\ \;\;\;\;y \cdot \left(a \cdot \left(-y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.6 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+91}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -0.09)
   (* j (* y0 (* x (- b))))
   (if (<= x 1.2e-226)
     (* y (* a (- (* y3 y5))))
     (if (<= x 2.6e+22)
       (* a (* b (* t (- z))))
       (if (<= x 1.6e+91)
         (* b (* k (* y (- y4))))
         (* b (* j (* x (- y0)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -0.09) {
		tmp = j * (y0 * (x * -b));
	} else if (x <= 1.2e-226) {
		tmp = y * (a * -(y3 * y5));
	} else if (x <= 2.6e+22) {
		tmp = a * (b * (t * -z));
	} else if (x <= 1.6e+91) {
		tmp = b * (k * (y * -y4));
	} else {
		tmp = b * (j * (x * -y0));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (x <= (-0.09d0)) then
        tmp = j * (y0 * (x * -b))
    else if (x <= 1.2d-226) then
        tmp = y * (a * -(y3 * y5))
    else if (x <= 2.6d+22) then
        tmp = a * (b * (t * -z))
    else if (x <= 1.6d+91) then
        tmp = b * (k * (y * -y4))
    else
        tmp = b * (j * (x * -y0))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -0.09) {
		tmp = j * (y0 * (x * -b));
	} else if (x <= 1.2e-226) {
		tmp = y * (a * -(y3 * y5));
	} else if (x <= 2.6e+22) {
		tmp = a * (b * (t * -z));
	} else if (x <= 1.6e+91) {
		tmp = b * (k * (y * -y4));
	} else {
		tmp = b * (j * (x * -y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if x <= -0.09:
		tmp = j * (y0 * (x * -b))
	elif x <= 1.2e-226:
		tmp = y * (a * -(y3 * y5))
	elif x <= 2.6e+22:
		tmp = a * (b * (t * -z))
	elif x <= 1.6e+91:
		tmp = b * (k * (y * -y4))
	else:
		tmp = b * (j * (x * -y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (x <= -0.09)
		tmp = Float64(j * Float64(y0 * Float64(x * Float64(-b))));
	elseif (x <= 1.2e-226)
		tmp = Float64(y * Float64(a * Float64(-Float64(y3 * y5))));
	elseif (x <= 2.6e+22)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	elseif (x <= 1.6e+91)
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	else
		tmp = Float64(b * Float64(j * Float64(x * Float64(-y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (x <= -0.09)
		tmp = j * (y0 * (x * -b));
	elseif (x <= 1.2e-226)
		tmp = y * (a * -(y3 * y5));
	elseif (x <= 2.6e+22)
		tmp = a * (b * (t * -z));
	elseif (x <= 1.6e+91)
		tmp = b * (k * (y * -y4));
	else
		tmp = b * (j * (x * -y0));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[x, -0.09], N[(j * N[(y0 * N[(x * (-b)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.2e-226], N[(y * N[(a * (-N[(y3 * y5), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.6e+22], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.6e+91], N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(x * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -0.089999999999999997

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 41.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 36.9%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around 0 33.3%

      \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(x \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.3%

         \[\leadsto j \cdot \color{blue}{\left(-b \cdot \left(x \cdot y0\right)\right)} \]

      2. associate-*r* 30.2%

         \[\leadsto j \cdot \left(-\color{blue}{\left(b \cdot x\right) \cdot y0}\right) \]

      3. distribute-rgt-neg-in 30.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot \left(-y0\right)\right)} \]

   6. Simplified 30.2%

      \[\leadsto j \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot \left(-y0\right)\right)} \]

   if -0.089999999999999997 < x < 1.2e-226

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 33.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 26.5%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around 0 25.3%

      \[\leadsto y \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 25.3%

         \[\leadsto y \cdot \color{blue}{\left(-a \cdot \left(y3 \cdot y5\right)\right)} \]

      2. *-commutative 25.3%

         \[\leadsto y \cdot \left(-\color{blue}{\left(y3 \cdot y5\right) \cdot a}\right) \]

      3. distribute-rgt-neg-in 25.3%

         \[\leadsto y \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot \left(-a\right)\right)} \]

   6. Simplified 25.3%

      \[\leadsto y \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot \left(-a\right)\right)} \]

   if 1.2e-226 < x < 2.6e22

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around 0 33.6%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 33.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot b\right) \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 33.6%

         \[\leadsto a \cdot \left(\color{blue}{\left(-b\right)} \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 33.6%

         \[\leadsto a \cdot \left(\left(-b\right) \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   6. Simplified 33.6%

      \[\leadsto a \cdot \color{blue}{\left(\left(-b\right) \cdot \left(z \cdot t\right)\right)} \]

   if 2.6e22 < x < 1.59999999999999995e91

   1. Initial program 55.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 34.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 39.7%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 29.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 29.6%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around inf 45.5%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto \color{blue}{-b \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 45.5%

         \[\leadsto \color{blue}{b \cdot \left(-k \cdot \left(y \cdot y4\right)\right)} \]

      3. *-commutative 45.5%

         \[\leadsto b \cdot \left(-\color{blue}{\left(y \cdot y4\right) \cdot k}\right) \]

   8. Simplified 45.5%

      \[\leadsto \color{blue}{b \cdot \left(-\left(y \cdot y4\right) \cdot k\right)} \]

   if 1.59999999999999995e91 < x

   1. Initial program 22.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 30.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 28.8%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around 0 31.2%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 31.2%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(j \cdot \left(x \cdot y0\right)\right)} \]

      2. neg-mul-1 31.2%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(j \cdot \left(x \cdot y0\right)\right) \]

      3. *-commutative 31.2%

         \[\leadsto \left(-b\right) \cdot \left(j \cdot \color{blue}{\left(y0 \cdot x\right)}\right) \]

   6. Simplified 31.2%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(j \cdot \left(y0 \cdot x\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 30.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -0.09:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(x \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-226}:\\ \;\;\;\;y \cdot \left(a \cdot \left(-y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.6 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+91}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(x \cdot \left(-y0\right)\right)\right)\\ \end{array} \]

Alternative 32: 28.7% accurate, 6.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq -1.5 \cdot 10^{-215} \lor \neg \left(t \leq 0.095\right):\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= t -1.5e-215) (not (<= t 0.095)))
   (* a (* b (- (* x y) (* z t))))
   (* a (* y (- (* x b) (* y3 y5))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((t <= -1.5e-215) || !(t <= 0.095)) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((t <= (-1.5d-215)) .or. (.not. (t <= 0.095d0))) then
        tmp = a * (b * ((x * y) - (z * t)))
    else
        tmp = a * (y * ((x * b) - (y3 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((t <= -1.5e-215) || !(t <= 0.095)) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (t <= -1.5e-215) or not (t <= 0.095):
		tmp = a * (b * ((x * y) - (z * t)))
	else:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((t <= -1.5e-215) || !(t <= 0.095))
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	else
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((t <= -1.5e-215) || ~((t <= 0.095)))
		tmp = a * (b * ((x * y) - (z * t)));
	else
		tmp = a * (y * ((x * b) - (y3 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[t, -1.5e-215], N[Not[LessEqual[t, 0.095]], $MachinePrecision]], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if t < -1.50000000000000013e-215 or 0.095000000000000001 < t

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 33.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -1.50000000000000013e-215 < t < 0.095000000000000001

   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. Taylor expanded in y around inf 43.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 37.8%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 35.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.5 \cdot 10^{-215} \lor \neg \left(t \leq 0.095\right):\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]

Alternative 33: 28.6% accurate, 6.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ \mathbf{if}\;t \leq -1.6 \cdot 10^{-214}:\\ \;\;\;\;a \cdot \left(b \cdot t_1\right)\\ \mathbf{elif}\;t \leq 0.013:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(a \cdot t_1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t))))
   (if (<= t -1.6e-214)
     (* a (* b t_1))
     (if (<= t 0.013) (* a (* y (- (* x b) (* y3 y5)))) (* b (* a t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double tmp;
	if (t <= -1.6e-214) {
		tmp = a * (b * t_1);
	} else if (t <= 0.013) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else {
		tmp = b * (a * 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 = (x * y) - (z * t)
    if (t <= (-1.6d-214)) then
        tmp = a * (b * t_1)
    else if (t <= 0.013d0) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else
        tmp = b * (a * 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 * y) - (z * t);
	double tmp;
	if (t <= -1.6e-214) {
		tmp = a * (b * t_1);
	} else if (t <= 0.013) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else {
		tmp = b * (a * 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 * y) - (z * t)
	tmp = 0
	if t <= -1.6e-214:
		tmp = a * (b * t_1)
	elif t <= 0.013:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	else:
		tmp = b * (a * t_1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (t <= -1.6e-214)
		tmp = Float64(a * Float64(b * t_1));
	elseif (t <= 0.013)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	else
		tmp = Float64(b * Float64(a * 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 * y) - (z * t);
	tmp = 0.0;
	if (t <= -1.6e-214)
		tmp = a * (b * t_1);
	elseif (t <= 0.013)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	else
		tmp = b * (a * t_1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.6e-214], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 0.013], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(a * t$95$1), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 3 regimes

2. if t < -1.60000000000000007e-214

   1. Initial program 34.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 32.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -1.60000000000000007e-214 < t < 0.0129999999999999994

   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. Taylor expanded in y around inf 43.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 37.8%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if 0.0129999999999999994 < t

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 35.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 29.9%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 29.9%

         \[\leadsto b \cdot \left(a \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) \]

   5. Simplified 29.9%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(y \cdot x - t \cdot z\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 35.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.6 \cdot 10^{-214}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;t \leq 0.013:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(a \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 34: 21.9% accurate, 6.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{if}\;x \leq -3.6 \cdot 10^{+103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-289}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+49}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* (* x y) a))))
   (if (<= x -3.6e+103)
     t_1
     (if (<= x 6.2e-289)
       (* j (* y0 (* y3 y5)))
       (if (<= x 6e+49) (* a (* b (* t (- z)))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * ((x * y) * a);
	double tmp;
	if (x <= -3.6e+103) {
		tmp = t_1;
	} else if (x <= 6.2e-289) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 6e+49) {
		tmp = a * (b * (t * -z));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * ((x * y) * a)
    if (x <= (-3.6d+103)) then
        tmp = t_1
    else if (x <= 6.2d-289) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 6d+49) then
        tmp = a * (b * (t * -z))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * ((x * y) * a);
	double tmp;
	if (x <= -3.6e+103) {
		tmp = t_1;
	} else if (x <= 6.2e-289) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 6e+49) {
		tmp = a * (b * (t * -z));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * ((x * y) * a)
	tmp = 0
	if x <= -3.6e+103:
		tmp = t_1
	elif x <= 6.2e-289:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 6e+49:
		tmp = a * (b * (t * -z))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(x * y) * a))
	tmp = 0.0
	if (x <= -3.6e+103)
		tmp = t_1;
	elseif (x <= 6.2e-289)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 6e+49)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * ((x * y) * a);
	tmp = 0.0;
	if (x <= -3.6e+103)
		tmp = t_1;
	elseif (x <= 6.2e-289)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 6e+49)
		tmp = a * (b * (t * -z));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3.6e+103], t$95$1, If[LessEqual[x, 6.2e-289], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6e+49], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -3.60000000000000017e103 or 6.0000000000000005e49 < x

   1. Initial program 32.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 34.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 29.1%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 29.1%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 29.1%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   7. Taylor expanded in a around 0 29.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 29.1%

         \[\leadsto a \cdot \color{blue}{\left(\left(x \cdot y\right) \cdot b\right)} \]

      2. associate-*r* 30.1%

         \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   9. Simplified 30.1%

      \[\leadsto \color{blue}{\left(a \cdot \left(x \cdot y\right)\right) \cdot b} \]

   if -3.60000000000000017e103 < x < 6.2e-289

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 32.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around inf 25.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 6.2e-289 < x < 6.0000000000000005e49

   1. Initial program 37.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 32.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 31.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around 0 29.2%

      \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 29.2%

         \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot b\right) \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 29.2%

         \[\leadsto a \cdot \left(\color{blue}{\left(-b\right)} \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 29.2%

         \[\leadsto a \cdot \left(\left(-b\right) \cdot \color{blue}{\left(z \cdot t\right)}\right) \]

   6. Simplified 29.2%

      \[\leadsto a \cdot \color{blue}{\left(\left(-b\right) \cdot \left(z \cdot t\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 28.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.6 \cdot 10^{+103}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-289}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+49}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \end{array} \]

Alternative 35: 21.5% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;x \leq -1 \cdot 10^{+103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-299}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{-34}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

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 (<= x -1e+103)
     t_1
     (if (<= x 1.06e-299)
       (* j (* y0 (* y3 y5)))
       (if (<= x 6.8e-34) (* c (* y (* y3 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 (x <= -1e+103) {
		tmp = t_1;
	} else if (x <= 1.06e-299) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 6.8e-34) {
		tmp = c * (y * (y3 * 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 (x <= (-1d+103)) then
        tmp = t_1
    else if (x <= 1.06d-299) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 6.8d-34) then
        tmp = c * (y * (y3 * 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 (x <= -1e+103) {
		tmp = t_1;
	} else if (x <= 1.06e-299) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 6.8e-34) {
		tmp = c * (y * (y3 * 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 x <= -1e+103:
		tmp = t_1
	elif x <= 1.06e-299:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 6.8e-34:
		tmp = c * (y * (y3 * 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 (x <= -1e+103)
		tmp = t_1;
	elseif (x <= 1.06e-299)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 6.8e-34)
		tmp = Float64(c * Float64(y * Float64(y3 * 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 (x <= -1e+103)
		tmp = t_1;
	elseif (x <= 1.06e-299)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 6.8e-34)
		tmp = c * (y * (y3 * 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[x, -1e+103], t$95$1, If[LessEqual[x, 1.06e-299], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.8e-34], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -1e103 or 6.8000000000000001e-34 < x

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 36.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 28.5%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 28.5%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 28.5%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   if -1e103 < x < 1.06e-299

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 34.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 33.5%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around inf 25.9%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.06e-299 < x < 6.8000000000000001e-34

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 34.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 20.2%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 18.9%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 18.9%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 18.9%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 18.9%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 18.9%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 18.9%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around 0 21.5%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 25.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1 \cdot 10^{+103}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-299}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{-34}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]

Alternative 36: 20.9% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -1.45 \cdot 10^{+215}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-120}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 5.3 \cdot 10^{+23}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y (* y3 y4)))))
   (if (<= y4 -1.45e+215)
     t_1
     (if (<= y4 5.2e-120)
       (* j (* y0 (* y3 y5)))
       (if (<= y4 5.3e+23) (* y (* a (* x b))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y * (y3 * y4));
	double tmp;
	if (y4 <= -1.45e+215) {
		tmp = t_1;
	} else if (y4 <= 5.2e-120) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 5.3e+23) {
		tmp = y * (a * (x * b));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (y * (y3 * y4))
    if (y4 <= (-1.45d+215)) then
        tmp = t_1
    else if (y4 <= 5.2d-120) then
        tmp = j * (y0 * (y3 * y5))
    else if (y4 <= 5.3d+23) then
        tmp = y * (a * (x * b))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y * (y3 * y4));
	double tmp;
	if (y4 <= -1.45e+215) {
		tmp = t_1;
	} else if (y4 <= 5.2e-120) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y4 <= 5.3e+23) {
		tmp = y * (a * (x * b));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y * (y3 * y4))
	tmp = 0
	if y4 <= -1.45e+215:
		tmp = t_1
	elif y4 <= 5.2e-120:
		tmp = j * (y0 * (y3 * y5))
	elif y4 <= 5.3e+23:
		tmp = y * (a * (x * b))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y * Float64(y3 * y4)))
	tmp = 0.0
	if (y4 <= -1.45e+215)
		tmp = t_1;
	elseif (y4 <= 5.2e-120)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y4 <= 5.3e+23)
		tmp = Float64(y * Float64(a * Float64(x * b)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y * (y3 * y4));
	tmp = 0.0;
	if (y4 <= -1.45e+215)
		tmp = t_1;
	elseif (y4 <= 5.2e-120)
		tmp = j * (y0 * (y3 * y5));
	elseif (y4 <= 5.3e+23)
		tmp = y * (a * (x * b));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.45e+215], t$95$1, If[LessEqual[y4, 5.2e-120], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.3e+23], N[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y4 < -1.45e215 or 5.3000000000000001e23 < y4

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 40.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 34.7%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 34.7%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 34.7%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 34.7%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 34.7%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 34.7%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around 0 35.8%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)} \]

   if -1.45e215 < y4 < 5.2000000000000002e-120

   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. Taylor expanded in j around inf 36.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y0 around inf 24.5%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   4. Taylor expanded in y3 around inf 18.9%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 5.2000000000000002e-120 < y4 < 5.3000000000000001e23

   1. Initial program 14.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 48.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in a around inf 48.8%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 38.9%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 38.9%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(x \cdot b\right)}\right) \]

   6. Simplified 38.9%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(x \cdot b\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 26.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.45 \cdot 10^{+215}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-120}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 5.3 \cdot 10^{+23}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]

Alternative 37: 21.0% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -3.5 \cdot 10^{-142} \lor \neg \left(x \leq 1.55 \cdot 10^{+49}\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= x -3.5e-142) (not (<= x 1.55e+49)))
   (* a (* (* x y) b))
   (* b (* k (* 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 tmp;
	if ((x <= -3.5e-142) || !(x <= 1.55e+49)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = b * (k * (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) :: tmp
    if ((x <= (-3.5d-142)) .or. (.not. (x <= 1.55d+49))) then
        tmp = a * ((x * y) * b)
    else
        tmp = b * (k * (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 tmp;
	if ((x <= -3.5e-142) || !(x <= 1.55e+49)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = b * (k * (z * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (x <= -3.5e-142) or not (x <= 1.55e+49):
		tmp = a * ((x * y) * b)
	else:
		tmp = b * (k * (z * y0))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((x <= -3.5e-142) || !(x <= 1.55e+49))
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(b * Float64(k * 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)
	tmp = 0.0;
	if ((x <= -3.5e-142) || ~((x <= 1.55e+49)))
		tmp = a * ((x * y) * b);
	else
		tmp = b * (k * (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_] := If[Or[LessEqual[x, -3.5e-142], N[Not[LessEqual[x, 1.55e+49]], $MachinePrecision]], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if x < -3.50000000000000015e-142 or 1.54999999999999996e49 < x

   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. Taylor expanded in b around inf 34.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 24.7%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 24.7%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 24.7%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   if -3.50000000000000015e-142 < x < 1.54999999999999996e49

   1. Initial program 39.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 30.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 16.7%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 15.9%

         \[\leadsto \color{blue}{\left(b \cdot y0\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      2. *-commutative 15.9%

         \[\leadsto \color{blue}{\left(y0 \cdot b\right)} \cdot \left(k \cdot z - j \cdot x\right) \]

   5. Simplified 15.9%

      \[\leadsto \color{blue}{\left(y0 \cdot b\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   6. Taylor expanded in k around inf 15.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 15.9%

         \[\leadsto b \cdot \color{blue}{\left(\left(y0 \cdot z\right) \cdot k\right)} \]

      2. *-commutative 15.9%

         \[\leadsto b \cdot \left(\color{blue}{\left(z \cdot y0\right)} \cdot k\right) \]

   8. Simplified 15.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(z \cdot y0\right) \cdot k\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 20.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.5 \cdot 10^{-142} \lor \neg \left(x \leq 1.55 \cdot 10^{+49}\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \end{array} \]

Alternative 38: 21.2% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -4.7 \cdot 10^{+116} \lor \neg \left(x \leq 8.8 \cdot 10^{-41}\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= x -4.7e+116) (not (<= x 8.8e-41)))
   (* a (* (* x y) b))
   (* c (* y (* y3 y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((x <= -4.7e+116) || !(x <= 8.8e-41)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = c * (y * (y3 * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((x <= (-4.7d+116)) .or. (.not. (x <= 8.8d-41))) then
        tmp = a * ((x * y) * b)
    else
        tmp = c * (y * (y3 * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((x <= -4.7e+116) || !(x <= 8.8e-41)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = c * (y * (y3 * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (x <= -4.7e+116) or not (x <= 8.8e-41):
		tmp = a * ((x * y) * b)
	else:
		tmp = c * (y * (y3 * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((x <= -4.7e+116) || !(x <= 8.8e-41))
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((x <= -4.7e+116) || ~((x <= 8.8e-41)))
		tmp = a * ((x * y) * b);
	else
		tmp = c * (y * (y3 * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[x, -4.7e+116], N[Not[LessEqual[x, 8.8e-41]], $MachinePrecision]], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if x < -4.7000000000000003e116 or 8.7999999999999999e-41 < x

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 37.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 36.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 28.3%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 28.3%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   6. Simplified 28.3%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

   if -4.7000000000000003e116 < x < 8.7999999999999999e-41

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y around inf 36.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   3. Taylor expanded in y4 around inf 24.3%

      \[\leadsto \color{blue}{y \cdot \left(y4 \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 21.8%

         \[\leadsto \color{blue}{\left(y \cdot y4\right) \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right)} \]

      2. *-commutative 21.8%

         \[\leadsto \color{blue}{\left(y4 \cdot y\right)} \cdot \left(-1 \cdot \left(b \cdot k\right) - -1 \cdot \left(c \cdot y3\right)\right) \]

      3. distribute-lft-out-- 21.8%

         \[\leadsto \left(y4 \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(b \cdot k - c \cdot y3\right)\right)} \]

      4. *-commutative 21.8%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(\color{blue}{k \cdot b} - c \cdot y3\right)\right) \]

      5. *-commutative 21.8%

         \[\leadsto \left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right)\right) \]

   5. Simplified 21.8%

      \[\leadsto \color{blue}{\left(y4 \cdot y\right) \cdot \left(-1 \cdot \left(k \cdot b - y3 \cdot c\right)\right)} \]

   6. Taylor expanded in k around 0 19.0%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 22.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4.7 \cdot 10^{+116} \lor \neg \left(x \leq 8.8 \cdot 10^{-41}\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]

Alternative 39: 16.4% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* (* x y) b)))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * ((x * y) * b)
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * ((x * y) * b)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(Float64(x * y) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * ((x * y) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 34.6%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

2. Taylor expanded in b around inf 32.9%

   \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

3. Taylor expanded in a around inf 29.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

4. Taylor expanded in x around inf 16.3%

   \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. *-commutative 16.3%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

6. Simplified 16.3%

   \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

7. Final simplification 16.3%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]

Developer target: 28.1% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023332 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))