Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 29.5% → 41.2%

Time: 1.3min

Alternatives: 33

Speedup: 2.6×

• 89.4% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Initial Program: 29.5% 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: 41.2% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot y3 - t \cdot y2\\ t_2 := a \cdot b - c \cdot i\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := z \cdot k - x \cdot j\\ t_5 := i \cdot y1 - b \cdot y0\\ t_6 := z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_2\right)\right)\\ t_7 := j \cdot y3 - k \cdot y2\\ t_8 := j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_5\right)\\ t_9 := x \cdot \left(\left(y \cdot t\_2 + y2 \cdot t\_3\right) + j \cdot t\_5\right)\\ t_10 := x \cdot y2 - z \cdot y3\\ t_11 := c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot t\_10\right) + y4 \cdot t\_1\right)\\ t_12 := t \cdot j - y \cdot k\\ \mathbf{if}\;z \leq -3 \cdot 10^{+48}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-104}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot t\_7 + c \cdot t\_10\right) + b \cdot t\_4\right)\\ \mathbf{elif}\;z \leq -3.9 \cdot 10^{-174}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_12 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t\_1\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-229}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;z \leq -1 \cdot 10^{-292}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-302}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 8 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t\_12\right) + y0 \cdot t\_4\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-230}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-208}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_3\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 7.1 \cdot 10^{-165}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-141}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot t\_10 + y4 \cdot t\_7\right)\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{+33}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{+107}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+269}:\\ \;\;\;\;t\_6\\ \mathbf{else}:\\ \;\;\;\;t\_9\\ \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) (* t y2)))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* c y0) (* a y1)))
        (t_4 (- (* z k) (* x j)))
        (t_5 (- (* i y1) (* b y0)))
        (t_6
         (*
          z
          (+
           (* k (- (* b y0) (* i y1)))
           (- (* y3 (- (* a y1) (* c y0))) (* t t_2)))))
        (t_7 (- (* j y3) (* k y2)))
        (t_8
         (*
          j
          (+
           (+ (* y3 (- (* y0 y5) (* y1 y4))) (* t (- (* b y4) (* i y5))))
           (* x t_5))))
        (t_9 (* x (+ (+ (* y t_2) (* y2 t_3)) (* j t_5))))
        (t_10 (- (* x y2) (* z y3)))
        (t_11 (* c (+ (+ (* i (- (* z t) (* x y))) (* y0 t_10)) (* y4 t_1))))
        (t_12 (- (* t j) (* y k))))
   (if (<= z -3e+48)
     t_6
     (if (<= z -1.3e-104)
       (* y0 (+ (+ (* y5 t_7) (* c t_10)) (* b t_4)))
       (if (<= z -3.9e-174)
         (* y4 (+ (+ (* b t_12) (* y1 (- (* k y2) (* j y3)))) (* c t_1)))
         (if (<= z -1.35e-229)
           t_8
           (if (<= z -1e-292)
             t_9
             (if (<= z 5.6e-302)
               (* c (* y (* y3 y4)))
               (if (<= z 8e-261)
                 (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_12)) (* y0 t_4)))
                 (if (<= z 1.05e-230)
                   t_11
                   (if (<= z 1.1e-208)
                     (*
                      y2
                      (+
                       (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_3))
                       (* t (- (* a y5) (* c y4)))))
                     (if (<= z 7.1e-165)
                       (* (* x c) (- (* y0 y2) (* y i)))
                       (if (<= z 1.65e-141)
                         (*
                          y1
                          (-
                           (* i (- (* x j) (* z k)))
                           (+ (* a t_10) (* y4 t_7))))
                         (if (<= z 3.5e+33)
                           t_8
                           (if (<= z 4.4e+107)
                             t_11
                             (if (<= z 9.2e+269) t_6 t_9))))))))))))))))

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) - (t * y2);
	double t_2 = (a * b) - (c * i);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (z * k) - (x * j);
	double t_5 = (i * y1) - (b * y0);
	double t_6 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)));
	double t_7 = (j * y3) - (k * y2);
	double t_8 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_5));
	double t_9 = x * (((y * t_2) + (y2 * t_3)) + (j * t_5));
	double t_10 = (x * y2) - (z * y3);
	double t_11 = c * (((i * ((z * t) - (x * y))) + (y0 * t_10)) + (y4 * t_1));
	double t_12 = (t * j) - (y * k);
	double tmp;
	if (z <= -3e+48) {
		tmp = t_6;
	} else if (z <= -1.3e-104) {
		tmp = y0 * (((y5 * t_7) + (c * t_10)) + (b * t_4));
	} else if (z <= -3.9e-174) {
		tmp = y4 * (((b * t_12) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	} else if (z <= -1.35e-229) {
		tmp = t_8;
	} else if (z <= -1e-292) {
		tmp = t_9;
	} else if (z <= 5.6e-302) {
		tmp = c * (y * (y3 * y4));
	} else if (z <= 8e-261) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_12)) + (y0 * t_4));
	} else if (z <= 1.05e-230) {
		tmp = t_11;
	} else if (z <= 1.1e-208) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 7.1e-165) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (z <= 1.65e-141) {
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * t_10) + (y4 * t_7)));
	} else if (z <= 3.5e+33) {
		tmp = t_8;
	} else if (z <= 4.4e+107) {
		tmp = t_11;
	} else if (z <= 9.2e+269) {
		tmp = t_6;
	} else {
		tmp = t_9;
	}
	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_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 = (y * y3) - (t * y2)
    t_2 = (a * b) - (c * i)
    t_3 = (c * y0) - (a * y1)
    t_4 = (z * k) - (x * j)
    t_5 = (i * y1) - (b * y0)
    t_6 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)))
    t_7 = (j * y3) - (k * y2)
    t_8 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_5))
    t_9 = x * (((y * t_2) + (y2 * t_3)) + (j * t_5))
    t_10 = (x * y2) - (z * y3)
    t_11 = c * (((i * ((z * t) - (x * y))) + (y0 * t_10)) + (y4 * t_1))
    t_12 = (t * j) - (y * k)
    if (z <= (-3d+48)) then
        tmp = t_6
    else if (z <= (-1.3d-104)) then
        tmp = y0 * (((y5 * t_7) + (c * t_10)) + (b * t_4))
    else if (z <= (-3.9d-174)) then
        tmp = y4 * (((b * t_12) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1))
    else if (z <= (-1.35d-229)) then
        tmp = t_8
    else if (z <= (-1d-292)) then
        tmp = t_9
    else if (z <= 5.6d-302) then
        tmp = c * (y * (y3 * y4))
    else if (z <= 8d-261) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_12)) + (y0 * t_4))
    else if (z <= 1.05d-230) then
        tmp = t_11
    else if (z <= 1.1d-208) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
    else if (z <= 7.1d-165) then
        tmp = (x * c) * ((y0 * y2) - (y * i))
    else if (z <= 1.65d-141) then
        tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * t_10) + (y4 * t_7)))
    else if (z <= 3.5d+33) then
        tmp = t_8
    else if (z <= 4.4d+107) then
        tmp = t_11
    else if (z <= 9.2d+269) then
        tmp = t_6
    else
        tmp = t_9
    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) - (t * y2);
	double t_2 = (a * b) - (c * i);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (z * k) - (x * j);
	double t_5 = (i * y1) - (b * y0);
	double t_6 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)));
	double t_7 = (j * y3) - (k * y2);
	double t_8 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_5));
	double t_9 = x * (((y * t_2) + (y2 * t_3)) + (j * t_5));
	double t_10 = (x * y2) - (z * y3);
	double t_11 = c * (((i * ((z * t) - (x * y))) + (y0 * t_10)) + (y4 * t_1));
	double t_12 = (t * j) - (y * k);
	double tmp;
	if (z <= -3e+48) {
		tmp = t_6;
	} else if (z <= -1.3e-104) {
		tmp = y0 * (((y5 * t_7) + (c * t_10)) + (b * t_4));
	} else if (z <= -3.9e-174) {
		tmp = y4 * (((b * t_12) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	} else if (z <= -1.35e-229) {
		tmp = t_8;
	} else if (z <= -1e-292) {
		tmp = t_9;
	} else if (z <= 5.6e-302) {
		tmp = c * (y * (y3 * y4));
	} else if (z <= 8e-261) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_12)) + (y0 * t_4));
	} else if (z <= 1.05e-230) {
		tmp = t_11;
	} else if (z <= 1.1e-208) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 7.1e-165) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (z <= 1.65e-141) {
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * t_10) + (y4 * t_7)));
	} else if (z <= 3.5e+33) {
		tmp = t_8;
	} else if (z <= 4.4e+107) {
		tmp = t_11;
	} else if (z <= 9.2e+269) {
		tmp = t_6;
	} else {
		tmp = t_9;
	}
	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) - (t * y2)
	t_2 = (a * b) - (c * i)
	t_3 = (c * y0) - (a * y1)
	t_4 = (z * k) - (x * j)
	t_5 = (i * y1) - (b * y0)
	t_6 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)))
	t_7 = (j * y3) - (k * y2)
	t_8 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_5))
	t_9 = x * (((y * t_2) + (y2 * t_3)) + (j * t_5))
	t_10 = (x * y2) - (z * y3)
	t_11 = c * (((i * ((z * t) - (x * y))) + (y0 * t_10)) + (y4 * t_1))
	t_12 = (t * j) - (y * k)
	tmp = 0
	if z <= -3e+48:
		tmp = t_6
	elif z <= -1.3e-104:
		tmp = y0 * (((y5 * t_7) + (c * t_10)) + (b * t_4))
	elif z <= -3.9e-174:
		tmp = y4 * (((b * t_12) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1))
	elif z <= -1.35e-229:
		tmp = t_8
	elif z <= -1e-292:
		tmp = t_9
	elif z <= 5.6e-302:
		tmp = c * (y * (y3 * y4))
	elif z <= 8e-261:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_12)) + (y0 * t_4))
	elif z <= 1.05e-230:
		tmp = t_11
	elif z <= 1.1e-208:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
	elif z <= 7.1e-165:
		tmp = (x * c) * ((y0 * y2) - (y * i))
	elif z <= 1.65e-141:
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * t_10) + (y4 * t_7)))
	elif z <= 3.5e+33:
		tmp = t_8
	elif z <= 4.4e+107:
		tmp = t_11
	elif z <= 9.2e+269:
		tmp = t_6
	else:
		tmp = t_9
	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(y * y3) - Float64(t * y2))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = Float64(Float64(z * k) - Float64(x * j))
	t_5 = Float64(Float64(i * y1) - Float64(b * y0))
	t_6 = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_2))))
	t_7 = Float64(Float64(j * y3) - Float64(k * y2))
	t_8 = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_5)))
	t_9 = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * t_3)) + Float64(j * t_5)))
	t_10 = Float64(Float64(x * y2) - Float64(z * y3))
	t_11 = Float64(c * Float64(Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(y0 * t_10)) + Float64(y4 * t_1)))
	t_12 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (z <= -3e+48)
		tmp = t_6;
	elseif (z <= -1.3e-104)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * t_7) + Float64(c * t_10)) + Float64(b * t_4)));
	elseif (z <= -3.9e-174)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_12) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_1)));
	elseif (z <= -1.35e-229)
		tmp = t_8;
	elseif (z <= -1e-292)
		tmp = t_9;
	elseif (z <= 5.6e-302)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (z <= 8e-261)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_12)) + Float64(y0 * t_4)));
	elseif (z <= 1.05e-230)
		tmp = t_11;
	elseif (z <= 1.1e-208)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_3)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (z <= 7.1e-165)
		tmp = Float64(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)));
	elseif (z <= 1.65e-141)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(a * t_10) + Float64(y4 * t_7))));
	elseif (z <= 3.5e+33)
		tmp = t_8;
	elseif (z <= 4.4e+107)
		tmp = t_11;
	elseif (z <= 9.2e+269)
		tmp = t_6;
	else
		tmp = t_9;
	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) - (t * y2);
	t_2 = (a * b) - (c * i);
	t_3 = (c * y0) - (a * y1);
	t_4 = (z * k) - (x * j);
	t_5 = (i * y1) - (b * y0);
	t_6 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)));
	t_7 = (j * y3) - (k * y2);
	t_8 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_5));
	t_9 = x * (((y * t_2) + (y2 * t_3)) + (j * t_5));
	t_10 = (x * y2) - (z * y3);
	t_11 = c * (((i * ((z * t) - (x * y))) + (y0 * t_10)) + (y4 * t_1));
	t_12 = (t * j) - (y * k);
	tmp = 0.0;
	if (z <= -3e+48)
		tmp = t_6;
	elseif (z <= -1.3e-104)
		tmp = y0 * (((y5 * t_7) + (c * t_10)) + (b * t_4));
	elseif (z <= -3.9e-174)
		tmp = y4 * (((b * t_12) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	elseif (z <= -1.35e-229)
		tmp = t_8;
	elseif (z <= -1e-292)
		tmp = t_9;
	elseif (z <= 5.6e-302)
		tmp = c * (y * (y3 * y4));
	elseif (z <= 8e-261)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_12)) + (y0 * t_4));
	elseif (z <= 1.05e-230)
		tmp = t_11;
	elseif (z <= 1.1e-208)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	elseif (z <= 7.1e-165)
		tmp = (x * c) * ((y0 * y2) - (y * i));
	elseif (z <= 1.65e-141)
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * t_10) + (y4 * t_7)));
	elseif (z <= 3.5e+33)
		tmp = t_8;
	elseif (z <= 4.4e+107)
		tmp = t_11;
	elseif (z <= 9.2e+269)
		tmp = t_6;
	else
		tmp = t_9;
	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[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(j * N[(N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(c * N[(N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3e+48], t$95$6, If[LessEqual[z, -1.3e-104], N[(y0 * N[(N[(N[(y5 * t$95$7), $MachinePrecision] + N[(c * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3.9e-174], N[(y4 * N[(N[(N[(b * t$95$12), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.35e-229], t$95$8, If[LessEqual[z, -1e-292], t$95$9, If[LessEqual[z, 5.6e-302], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 8e-261], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$12), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.05e-230], t$95$11, If[LessEqual[z, 1.1e-208], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 7.1e-165], N[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.65e-141], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t$95$10), $MachinePrecision] + N[(y4 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.5e+33], t$95$8, If[LessEqual[z, 4.4e+107], t$95$11, If[LessEqual[z, 9.2e+269], t$95$6, t$95$9]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if z < -3e48 or 4.4e107 < z < 9.2000000000000002e269

   1. Initial program 26.3%

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

   3. Taylor expanded in z around -inf 62.5%

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

   if -3e48 < z < -1.30000000000000001e-104

   1. Initial program 50.7%

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

   3. Taylor expanded in y0 around inf 63.7%

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

   if -1.30000000000000001e-104 < z < -3.8999999999999999e-174

   1. Initial program 40.0%

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

   3. Taylor expanded in y4 around inf 60.5%

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

   if -3.8999999999999999e-174 < z < -1.3499999999999999e-229 or 1.65e-141 < z < 3.5000000000000001e33

   1. Initial program 21.7%

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

   3. Taylor expanded in j around inf 69.9%

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

   if -1.3499999999999999e-229 < z < -1.0000000000000001e-292 or 9.2000000000000002e269 < z

   1. Initial program 50.2%

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

   3. Taylor expanded in x around inf 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 -1.0000000000000001e-292 < z < 5.6e-302

   1. Initial program 16.7%

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

   3. Taylor expanded in c around inf 66.7%

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

   4. Taylor expanded in y around -inf 66.7%

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

      1. mul-1-neg 66.7%

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

      2. associate-*r* 50.6%

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

      3. *-commutative 50.6%

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

   6. Simplified 50.6%

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

   7. Taylor expanded in x around 0 83.6%

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

   if 5.6e-302 < z < 7.99999999999999987e-261

   1. Initial program 42.9%

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

   3. Taylor expanded in b around inf 72.3%

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

   if 7.99999999999999987e-261 < z < 1.0499999999999999e-230 or 3.5000000000000001e33 < z < 4.4e107

   1. Initial program 39.9%

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

   3. Taylor expanded in c around inf 68.2%

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

   if 1.0499999999999999e-230 < z < 1.1e-208

   1. Initial program 100.0%

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

   3. Taylor expanded in y2 around inf 75.2%

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

   if 1.1e-208 < z < 7.10000000000000048e-165

   1. Initial program 10.0%

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

   3. Taylor expanded in c around inf 60.0%

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

   4. Taylor expanded in x around inf 70.9%

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

      1. associate-*r* 80.3%

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

      2. +-commutative 80.3%

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

      3. mul-1-neg 80.3%

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

      4. unsub-neg 80.3%

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

      5. *-commutative 80.3%

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

   6. Simplified 80.3%

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

   if 7.10000000000000048e-165 < z < 1.65e-141

   1. Initial program 26.5%

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

   3. Taylor expanded in y1 around inf 77.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 67.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -3 \cdot 10^{+48}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-104}:\\ \;\;\;\;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}\;z \leq -3.9 \cdot 10^{-174}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-229}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1 \cdot 10^{-292}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-302}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 8 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-230}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-208}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 7.1 \cdot 10^{-165}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-141}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{+33}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{+107}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+269}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{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} \]
5. Add Preprocessing

Alternative 2: 52.3% accurate, 0.5× speedup

Math

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

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
     (*
      y3
      (+
       (* y (- (* c y4) (* a y5)))
       (- (* z (- (* a y1) (* c y0))) (* 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 = (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 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * 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 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * 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 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * 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(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))));
	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 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * 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[(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]]]]

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 92.7%

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

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

   1. Initial program 0.0%

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

   3. Taylor expanded in y3 around -inf 42.2%

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

4. Final simplification 60.2%

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

Alternative 3: 40.8% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot y3 - t \cdot y2\\ t_2 := a \cdot b - c \cdot i\\ t_3 := z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot t\_2\right)\right)\\ t_4 := c \cdot y0 - a \cdot y1\\ t_5 := z \cdot k - x \cdot j\\ t_6 := i \cdot y1 - b \cdot y0\\ t_7 := j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_6\right)\\ t_8 := x \cdot \left(\left(y \cdot t\_2 + y2 \cdot t\_4\right) + j \cdot t\_6\right)\\ t_9 := x \cdot y2 - z \cdot y3\\ t_10 := c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot t\_9\right) + y4 \cdot t\_1\right)\\ t_11 := t \cdot j - y \cdot k\\ \mathbf{if}\;z \leq -3.8 \cdot 10^{+41}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-108}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot t\_9\right) + b \cdot t\_5\right)\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-174}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_11 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot t\_1\right)\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-235}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;z \leq -1.72 \cdot 10^{-292}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{-302}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t\_11\right) + y0 \cdot t\_5\right)\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-233}:\\ \;\;\;\;t\_10\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-208}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_4\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{-149}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-141}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{+34}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;z \leq 6.4 \cdot 10^{+106}:\\ \;\;\;\;t\_10\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+269}:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;t\_8\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y y3) (* t y2)))
        (t_2 (- (* a b) (* c i)))
        (t_3
         (*
          z
          (+
           (* k (- (* b y0) (* i y1)))
           (- (* y3 (- (* a y1) (* c y0))) (* t t_2)))))
        (t_4 (- (* c y0) (* a y1)))
        (t_5 (- (* z k) (* x j)))
        (t_6 (- (* i y1) (* b y0)))
        (t_7
         (*
          j
          (+
           (+ (* y3 (- (* y0 y5) (* y1 y4))) (* t (- (* b y4) (* i y5))))
           (* x t_6))))
        (t_8 (* x (+ (+ (* y t_2) (* y2 t_4)) (* j t_6))))
        (t_9 (- (* x y2) (* z y3)))
        (t_10 (* c (+ (+ (* i (- (* z t) (* x y))) (* y0 t_9)) (* y4 t_1))))
        (t_11 (- (* t j) (* y k))))
   (if (<= z -3.8e+41)
     t_3
     (if (<= z -6.5e-108)
       (* y0 (+ (+ (* y5 (- (* j y3) (* k y2))) (* c t_9)) (* b t_5)))
       (if (<= z -1.7e-174)
         (* y4 (+ (+ (* b t_11) (* y1 (- (* k y2) (* j y3)))) (* c t_1)))
         (if (<= z -3.2e-235)
           t_7
           (if (<= z -1.72e-292)
             t_8
             (if (<= z 4.6e-302)
               (* c (* y (* y3 y4)))
               (if (<= z 4.5e-261)
                 (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_11)) (* y0 t_5)))
                 (if (<= z 1.4e-233)
                   t_10
                   (if (<= z 1.05e-208)
                     (*
                      y2
                      (+
                       (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_4))
                       (* t (- (* a y5) (* c y4)))))
                     (if (<= z 1.55e-149)
                       (* (* x c) (- (* y0 y2) (* y i)))
                       (if (<= z 1.65e-141)
                         (* c (* t (- (* z i) (* y2 y4))))
                         (if (<= z 1.1e+34)
                           t_7
                           (if (<= z 6.4e+106)
                             t_10
                             (if (<= z 9.2e+269) t_3 t_8))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * y3) - (t * y2);
	double t_2 = (a * b) - (c * i);
	double t_3 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)));
	double t_4 = (c * y0) - (a * y1);
	double t_5 = (z * k) - (x * j);
	double t_6 = (i * y1) - (b * y0);
	double t_7 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_6));
	double t_8 = x * (((y * t_2) + (y2 * t_4)) + (j * t_6));
	double t_9 = (x * y2) - (z * y3);
	double t_10 = c * (((i * ((z * t) - (x * y))) + (y0 * t_9)) + (y4 * t_1));
	double t_11 = (t * j) - (y * k);
	double tmp;
	if (z <= -3.8e+41) {
		tmp = t_3;
	} else if (z <= -6.5e-108) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_9)) + (b * t_5));
	} else if (z <= -1.7e-174) {
		tmp = y4 * (((b * t_11) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	} else if (z <= -3.2e-235) {
		tmp = t_7;
	} else if (z <= -1.72e-292) {
		tmp = t_8;
	} else if (z <= 4.6e-302) {
		tmp = c * (y * (y3 * y4));
	} else if (z <= 4.5e-261) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_5));
	} else if (z <= 1.4e-233) {
		tmp = t_10;
	} else if (z <= 1.05e-208) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 1.55e-149) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (z <= 1.65e-141) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (z <= 1.1e+34) {
		tmp = t_7;
	} else if (z <= 6.4e+106) {
		tmp = t_10;
	} else if (z <= 9.2e+269) {
		tmp = t_3;
	} else {
		tmp = t_8;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    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 = (y * y3) - (t * y2)
    t_2 = (a * b) - (c * i)
    t_3 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)))
    t_4 = (c * y0) - (a * y1)
    t_5 = (z * k) - (x * j)
    t_6 = (i * y1) - (b * y0)
    t_7 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_6))
    t_8 = x * (((y * t_2) + (y2 * t_4)) + (j * t_6))
    t_9 = (x * y2) - (z * y3)
    t_10 = c * (((i * ((z * t) - (x * y))) + (y0 * t_9)) + (y4 * t_1))
    t_11 = (t * j) - (y * k)
    if (z <= (-3.8d+41)) then
        tmp = t_3
    else if (z <= (-6.5d-108)) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_9)) + (b * t_5))
    else if (z <= (-1.7d-174)) then
        tmp = y4 * (((b * t_11) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1))
    else if (z <= (-3.2d-235)) then
        tmp = t_7
    else if (z <= (-1.72d-292)) then
        tmp = t_8
    else if (z <= 4.6d-302) then
        tmp = c * (y * (y3 * y4))
    else if (z <= 4.5d-261) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_5))
    else if (z <= 1.4d-233) then
        tmp = t_10
    else if (z <= 1.05d-208) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))))
    else if (z <= 1.55d-149) then
        tmp = (x * c) * ((y0 * y2) - (y * i))
    else if (z <= 1.65d-141) then
        tmp = c * (t * ((z * i) - (y2 * y4)))
    else if (z <= 1.1d+34) then
        tmp = t_7
    else if (z <= 6.4d+106) then
        tmp = t_10
    else if (z <= 9.2d+269) then
        tmp = t_3
    else
        tmp = t_8
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * y3) - (t * y2);
	double t_2 = (a * b) - (c * i);
	double t_3 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)));
	double t_4 = (c * y0) - (a * y1);
	double t_5 = (z * k) - (x * j);
	double t_6 = (i * y1) - (b * y0);
	double t_7 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_6));
	double t_8 = x * (((y * t_2) + (y2 * t_4)) + (j * t_6));
	double t_9 = (x * y2) - (z * y3);
	double t_10 = c * (((i * ((z * t) - (x * y))) + (y0 * t_9)) + (y4 * t_1));
	double t_11 = (t * j) - (y * k);
	double tmp;
	if (z <= -3.8e+41) {
		tmp = t_3;
	} else if (z <= -6.5e-108) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_9)) + (b * t_5));
	} else if (z <= -1.7e-174) {
		tmp = y4 * (((b * t_11) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	} else if (z <= -3.2e-235) {
		tmp = t_7;
	} else if (z <= -1.72e-292) {
		tmp = t_8;
	} else if (z <= 4.6e-302) {
		tmp = c * (y * (y3 * y4));
	} else if (z <= 4.5e-261) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_5));
	} else if (z <= 1.4e-233) {
		tmp = t_10;
	} else if (z <= 1.05e-208) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	} else if (z <= 1.55e-149) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (z <= 1.65e-141) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (z <= 1.1e+34) {
		tmp = t_7;
	} else if (z <= 6.4e+106) {
		tmp = t_10;
	} else if (z <= 9.2e+269) {
		tmp = t_3;
	} else {
		tmp = t_8;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y * y3) - (t * y2)
	t_2 = (a * b) - (c * i)
	t_3 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)))
	t_4 = (c * y0) - (a * y1)
	t_5 = (z * k) - (x * j)
	t_6 = (i * y1) - (b * y0)
	t_7 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_6))
	t_8 = x * (((y * t_2) + (y2 * t_4)) + (j * t_6))
	t_9 = (x * y2) - (z * y3)
	t_10 = c * (((i * ((z * t) - (x * y))) + (y0 * t_9)) + (y4 * t_1))
	t_11 = (t * j) - (y * k)
	tmp = 0
	if z <= -3.8e+41:
		tmp = t_3
	elif z <= -6.5e-108:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_9)) + (b * t_5))
	elif z <= -1.7e-174:
		tmp = y4 * (((b * t_11) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1))
	elif z <= -3.2e-235:
		tmp = t_7
	elif z <= -1.72e-292:
		tmp = t_8
	elif z <= 4.6e-302:
		tmp = c * (y * (y3 * y4))
	elif z <= 4.5e-261:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_5))
	elif z <= 1.4e-233:
		tmp = t_10
	elif z <= 1.05e-208:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))))
	elif z <= 1.55e-149:
		tmp = (x * c) * ((y0 * y2) - (y * i))
	elif z <= 1.65e-141:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	elif z <= 1.1e+34:
		tmp = t_7
	elif z <= 6.4e+106:
		tmp = t_10
	elif z <= 9.2e+269:
		tmp = t_3
	else:
		tmp = t_8
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y * y3) - Float64(t * y2))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(t * t_2))))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = Float64(Float64(i * y1) - Float64(b * y0))
	t_7 = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_6)))
	t_8 = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * t_4)) + Float64(j * t_6)))
	t_9 = Float64(Float64(x * y2) - Float64(z * y3))
	t_10 = Float64(c * Float64(Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(y0 * t_9)) + Float64(y4 * t_1)))
	t_11 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (z <= -3.8e+41)
		tmp = t_3;
	elseif (z <= -6.5e-108)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * t_9)) + Float64(b * t_5)));
	elseif (z <= -1.7e-174)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_11) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * t_1)));
	elseif (z <= -3.2e-235)
		tmp = t_7;
	elseif (z <= -1.72e-292)
		tmp = t_8;
	elseif (z <= 4.6e-302)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (z <= 4.5e-261)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_11)) + Float64(y0 * t_5)));
	elseif (z <= 1.4e-233)
		tmp = t_10;
	elseif (z <= 1.05e-208)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_4)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (z <= 1.55e-149)
		tmp = Float64(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)));
	elseif (z <= 1.65e-141)
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	elseif (z <= 1.1e+34)
		tmp = t_7;
	elseif (z <= 6.4e+106)
		tmp = t_10;
	elseif (z <= 9.2e+269)
		tmp = t_3;
	else
		tmp = t_8;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y * y3) - (t * y2);
	t_2 = (a * b) - (c * i);
	t_3 = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) - (t * t_2)));
	t_4 = (c * y0) - (a * y1);
	t_5 = (z * k) - (x * j);
	t_6 = (i * y1) - (b * y0);
	t_7 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_6));
	t_8 = x * (((y * t_2) + (y2 * t_4)) + (j * t_6));
	t_9 = (x * y2) - (z * y3);
	t_10 = c * (((i * ((z * t) - (x * y))) + (y0 * t_9)) + (y4 * t_1));
	t_11 = (t * j) - (y * k);
	tmp = 0.0;
	if (z <= -3.8e+41)
		tmp = t_3;
	elseif (z <= -6.5e-108)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_9)) + (b * t_5));
	elseif (z <= -1.7e-174)
		tmp = y4 * (((b * t_11) + (y1 * ((k * y2) - (j * y3)))) + (c * t_1));
	elseif (z <= -3.2e-235)
		tmp = t_7;
	elseif (z <= -1.72e-292)
		tmp = t_8;
	elseif (z <= 4.6e-302)
		tmp = c * (y * (y3 * y4));
	elseif (z <= 4.5e-261)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_5));
	elseif (z <= 1.4e-233)
		tmp = t_10;
	elseif (z <= 1.05e-208)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	elseif (z <= 1.55e-149)
		tmp = (x * c) * ((y0 * y2) - (y * i));
	elseif (z <= 1.65e-141)
		tmp = c * (t * ((z * i) - (y2 * y4)));
	elseif (z <= 1.1e+34)
		tmp = t_7;
	elseif (z <= 6.4e+106)
		tmp = t_10;
	elseif (z <= 9.2e+269)
		tmp = t_3;
	else
		tmp = t_8;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(j * N[(N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(c * N[(N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$9), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3.8e+41], t$95$3, If[LessEqual[z, -6.5e-108], N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$9), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -1.7e-174], N[(y4 * N[(N[(N[(b * t$95$11), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3.2e-235], t$95$7, If[LessEqual[z, -1.72e-292], t$95$8, If[LessEqual[z, 4.6e-302], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.5e-261], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$11), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.4e-233], t$95$10, If[LessEqual[z, 1.05e-208], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.55e-149], N[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.65e-141], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.1e+34], t$95$7, If[LessEqual[z, 6.4e+106], t$95$10, If[LessEqual[z, 9.2e+269], t$95$3, t$95$8]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if z < -3.8000000000000001e41 or 6.3999999999999996e106 < z < 9.2000000000000002e269

   1. Initial program 26.3%

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

   3. Taylor expanded in z around -inf 62.5%

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

   if -3.8000000000000001e41 < z < -6.5000000000000002e-108

   1. Initial program 50.7%

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

   3. Taylor expanded in y0 around inf 63.7%

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

   if -6.5000000000000002e-108 < z < -1.7000000000000001e-174

   1. Initial program 40.0%

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

   3. Taylor expanded in y4 around inf 60.5%

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

   if -1.7000000000000001e-174 < z < -3.2000000000000001e-235 or 1.65e-141 < z < 1.1000000000000001e34

   1. Initial program 21.7%

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

   3. Taylor expanded in j around inf 69.9%

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

   if -3.2000000000000001e-235 < z < -1.7199999999999999e-292 or 9.2000000000000002e269 < z

   1. Initial program 50.2%

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

   3. Taylor expanded in x around inf 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 -1.7199999999999999e-292 < z < 4.60000000000000004e-302

   1. Initial program 16.7%

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

   3. Taylor expanded in c around inf 66.7%

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

   4. Taylor expanded in y around -inf 66.7%

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

      1. mul-1-neg 66.7%

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

      2. associate-*r* 50.6%

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

      3. *-commutative 50.6%

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

   6. Simplified 50.6%

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

   7. Taylor expanded in x around 0 83.6%

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

   if 4.60000000000000004e-302 < z < 4.5000000000000001e-261

   1. Initial program 42.9%

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

   3. Taylor expanded in b around inf 72.3%

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

   if 4.5000000000000001e-261 < z < 1.4000000000000001e-233 or 1.1000000000000001e34 < z < 6.3999999999999996e106

   1. Initial program 39.9%

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

   3. Taylor expanded in c around inf 68.2%

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

   if 1.4000000000000001e-233 < z < 1.05000000000000006e-208

   1. Initial program 100.0%

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

   3. Taylor expanded in y2 around inf 75.2%

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

   if 1.05000000000000006e-208 < z < 1.54999999999999994e-149

   1. Initial program 9.1%

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

   3. Taylor expanded in c around inf 63.7%

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

   4. Taylor expanded in x around inf 73.5%

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

      1. associate-*r* 82.1%

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

      2. +-commutative 82.1%

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

      3. mul-1-neg 82.1%

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

      4. unsub-neg 82.1%

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

      5. *-commutative 82.1%

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

   6. Simplified 82.1%

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

   if 1.54999999999999994e-149 < z < 1.65e-141

   1. Initial program 35.4%

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

   3. Taylor expanded in c around inf 34.4%

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

   4. Taylor expanded in t around inf 67.8%

      \[\leadsto \color{blue}{c \cdot \left(t \cdot \left(i \cdot z - y2 \cdot y4\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 67.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -3.8 \cdot 10^{+41}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-108}:\\ \;\;\;\;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}\;z \leq -1.7 \cdot 10^{-174}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-235}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq -1.72 \cdot 10^{-292}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 4.6 \cdot 10^{-302}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-233}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-208}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{-149}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-141}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{+34}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 6.4 \cdot 10^{+106}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+269}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{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} \]
5. Add Preprocessing

Alternative 4: 37.3% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_3 := t \cdot j - y \cdot k\\ t_4 := k \cdot y2 - j \cdot y3\\ \mathbf{if}\;a \leq -1.5 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-23}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{-276}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot t\_3\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-205}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_3 + y1 \cdot t\_4\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-14}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+17}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2.3 \cdot 10^{+43}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot t\_4\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{+64}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+74}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 4.7 \cdot 10^{+166}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1 + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* i y1) (* b y0))))))
        (t_3 (- (* t j) (* y k)))
        (t_4 (- (* k y2) (* j y3))))
   (if (<= a -1.5e+56)
     (* a (* b (* t (- (* y2 (/ y5 b)) z))))
     (if (<= a -3.9e-23)
       (* c (* z (- (* t i) (* y0 y3))))
       (if (<= a -6.5e-276)
         (* b (+ (+ (* a t_1) (* y4 t_3)) (* y0 (- (* z k) (* x j)))))
         (if (<= a 7.5e-205)
           (* y4 (+ (+ (* b t_3) (* y1 t_4)) (* c (- (* y y3) (* t y2)))))
           (if (<= a 1.9e-14)
             t_2
             (if (<= a 2.9e+17)
               (* c (* t (- (* z i) (* y2 y4))))
               (if (<= a 2.3e+43)
                 (* y1 (* y4 t_4))
                 (if (<= a 1.9e+64)
                   (* (* c i) (- (* z t) (* x y)))
                   (if (<= a 5.8e+74)
                     (* z (* a (- (* y1 y3) (* t b))))
                     (if (<= a 4.7e+166)
                       t_2
                       (*
                        a
                        (+ (* b t_1) (* y5 (- (* t y2) (* y 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 = (x * y) - (z * t);
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_3 = (t * j) - (y * k);
	double t_4 = (k * y2) - (j * y3);
	double tmp;
	if (a <= -1.5e+56) {
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	} else if (a <= -3.9e-23) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (a <= -6.5e-276) {
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 7.5e-205) {
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))));
	} else if (a <= 1.9e-14) {
		tmp = t_2;
	} else if (a <= 2.9e+17) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (a <= 2.3e+43) {
		tmp = y1 * (y4 * t_4);
	} else if (a <= 1.9e+64) {
		tmp = (c * i) * ((z * t) - (x * y));
	} else if (a <= 5.8e+74) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (a <= 4.7e+166) {
		tmp = t_2;
	} else {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    t_3 = (t * j) - (y * k)
    t_4 = (k * y2) - (j * y3)
    if (a <= (-1.5d+56)) then
        tmp = a * (b * (t * ((y2 * (y5 / b)) - z)))
    else if (a <= (-3.9d-23)) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (a <= (-6.5d-276)) then
        tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
    else if (a <= 7.5d-205) then
        tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))))
    else if (a <= 1.9d-14) then
        tmp = t_2
    else if (a <= 2.9d+17) then
        tmp = c * (t * ((z * i) - (y2 * y4)))
    else if (a <= 2.3d+43) then
        tmp = y1 * (y4 * t_4)
    else if (a <= 1.9d+64) then
        tmp = (c * i) * ((z * t) - (x * y))
    else if (a <= 5.8d+74) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (a <= 4.7d+166) then
        tmp = t_2
    else
        tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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 = (x * y) - (z * t);
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_3 = (t * j) - (y * k);
	double t_4 = (k * y2) - (j * y3);
	double tmp;
	if (a <= -1.5e+56) {
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	} else if (a <= -3.9e-23) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (a <= -6.5e-276) {
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 7.5e-205) {
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))));
	} else if (a <= 1.9e-14) {
		tmp = t_2;
	} else if (a <= 2.9e+17) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (a <= 2.3e+43) {
		tmp = y1 * (y4 * t_4);
	} else if (a <= 1.9e+64) {
		tmp = (c * i) * ((z * t) - (x * y));
	} else if (a <= 5.8e+74) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (a <= 4.7e+166) {
		tmp = t_2;
	} else {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	}
	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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	t_3 = (t * j) - (y * k)
	t_4 = (k * y2) - (j * y3)
	tmp = 0
	if a <= -1.5e+56:
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)))
	elif a <= -3.9e-23:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif a <= -6.5e-276:
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
	elif a <= 7.5e-205:
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))))
	elif a <= 1.9e-14:
		tmp = t_2
	elif a <= 2.9e+17:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	elif a <= 2.3e+43:
		tmp = y1 * (y4 * t_4)
	elif a <= 1.9e+64:
		tmp = (c * i) * ((z * t) - (x * y))
	elif a <= 5.8e+74:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif a <= 4.7e+166:
		tmp = t_2
	else:
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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(Float64(x * y) - Float64(z * t))
	t_2 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	tmp = 0.0
	if (a <= -1.5e+56)
		tmp = Float64(a * Float64(b * Float64(t * Float64(Float64(y2 * Float64(y5 / b)) - z))));
	elseif (a <= -3.9e-23)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (a <= -6.5e-276)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_3)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (a <= 7.5e-205)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_3) + Float64(y1 * t_4)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (a <= 1.9e-14)
		tmp = t_2;
	elseif (a <= 2.9e+17)
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	elseif (a <= 2.3e+43)
		tmp = Float64(y1 * Float64(y4 * t_4));
	elseif (a <= 1.9e+64)
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)));
	elseif (a <= 5.8e+74)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (a <= 4.7e+166)
		tmp = t_2;
	else
		tmp = Float64(a * Float64(Float64(b * t_1) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * 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 = (x * y) - (z * t);
	t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	t_3 = (t * j) - (y * k);
	t_4 = (k * y2) - (j * y3);
	tmp = 0.0;
	if (a <= -1.5e+56)
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	elseif (a <= -3.9e-23)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (a <= -6.5e-276)
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	elseif (a <= 7.5e-205)
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))));
	elseif (a <= 1.9e-14)
		tmp = t_2;
	elseif (a <= 2.9e+17)
		tmp = c * (t * ((z * i) - (y2 * y4)));
	elseif (a <= 2.3e+43)
		tmp = y1 * (y4 * t_4);
	elseif (a <= 1.9e+64)
		tmp = (c * i) * ((z * t) - (x * y));
	elseif (a <= 5.8e+74)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (a <= 4.7e+166)
		tmp = t_2;
	else
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.5e+56], N[(a * N[(b * N[(t * N[(N[(y2 * N[(y5 / b), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.9e-23], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -6.5e-276], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7.5e-205], N[(y4 * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.9e-14], t$95$2, If[LessEqual[a, 2.9e+17], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.3e+43], N[(y1 * N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.9e+64], N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.8e+74], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.7e+166], t$95$2, N[(a * N[(N[(b * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -1.50000000000000003e56

   1. Initial program 26.8%

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

   3. Taylor expanded in a around inf 40.0%

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

   4. Taylor expanded in b around inf 36.3%

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

      1. +-commutative 36.3%

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

      2. mul-1-neg 36.3%

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

      3. unsub-neg 36.3%

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

      4. *-commutative 36.3%

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

      5. associate-/l* 39.7%

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

      6. +-commutative 39.7%

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

      7. mul-1-neg 39.7%

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

      8. unsub-neg 39.7%

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

      9. *-commutative 39.7%

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

      10. associate-/l* 41.5%

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

      11. *-commutative 41.5%

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

   6. Simplified 41.5%

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

   7. Taylor expanded in t around inf 47.4%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(\frac{y2 \cdot y5}{b} - z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. associate-/l* 51.0%

         \[\leadsto a \cdot \left(b \cdot \left(t \cdot \left(\color{blue}{y2 \cdot \frac{y5}{b}} - z\right)\right)\right) \]

   9. Simplified 51.0%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)}\right) \]

   if -1.50000000000000003e56 < a < -3.9e-23

   1. Initial program 12.5%

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

   3. Taylor expanded in c around inf 68.8%

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

   4. Taylor expanded in z around inf 69.5%

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

   if -3.9e-23 < a < -6.49999999999999981e-276

   1. Initial program 38.3%

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

   3. Taylor expanded in b around inf 57.1%

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

   if -6.49999999999999981e-276 < a < 7.4999999999999996e-205

   1. Initial program 39.1%

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

   3. Taylor expanded in y4 around inf 57.7%

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

   if 7.4999999999999996e-205 < a < 1.9000000000000001e-14 or 5.8000000000000005e74 < a < 4.7e166

   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. Add Preprocessing

   3. Taylor expanded in x around inf 50.8%

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

   if 1.9000000000000001e-14 < a < 2.9e17

   1. Initial program 33.1%

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

   3. Taylor expanded in c around inf 68.0%

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

   4. Taylor expanded in t around inf 68.3%

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

   if 2.9e17 < a < 2.3000000000000002e43

   1. Initial program 25.0%

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

   3. Taylor expanded in y4 around inf 13.3%

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

   4. Taylor expanded in y1 around inf 51.5%

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

   if 2.3000000000000002e43 < a < 1.9000000000000001e64

   1. Initial program 83.1%

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

   3. Taylor expanded in c around inf 52.1%

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

   4. Taylor expanded in i around inf 51.5%

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

      1. mul-1-neg 51.5%

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

      2. associate-*r* 51.2%

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

      3. *-commutative 51.2%

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

      4. *-commutative 51.2%

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

   6. Simplified 51.2%

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

   if 1.9000000000000001e64 < a < 5.8000000000000005e74

   1. Initial program 0.0%

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

   3. Taylor expanded in z around -inf 0.0%

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

   4. Taylor expanded in a around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

      4. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   if 4.7e166 < a

   1. Initial program 44.1%

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

   3. Taylor expanded in a around inf 76.5%

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

   4. Taylor expanded in y1 around 0 67.0%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 56.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.5 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-23}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{-276}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-205}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-14}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+17}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2.3 \cdot 10^{+43}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{+64}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+74}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 4.7 \cdot 10^{+166}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 40.1% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ t_2 := k \cdot y2 - j \cdot y3\\ t_3 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot t\_2\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_4 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;i \leq -1.6 \cdot 10^{+26}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -1 \cdot 10^{-56}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_4\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -1.9 \cdot 10^{-73}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -2.65 \cdot 10^{-132}:\\ \;\;\;\;t\_2 \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-258}:\\ \;\;\;\;\left(y0 \cdot y3\right) \cdot \left(j \cdot y5 - z \cdot c\right)\\ \mathbf{elif}\;i \leq 9 \cdot 10^{-232}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 80000000:\\ \;\;\;\;a \cdot \left(z \cdot \left(t \cdot \left(\frac{y1 \cdot y3}{t} - b\right)\right)\right)\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{+52}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 10^{+138}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_4\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.25 \cdot 10^{+178}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          i
          (+
           (* y1 (- (* x j) (* z k)))
           (+ (* c (- (* z t) (* x y))) (* y5 (- (* y k) (* t j)))))))
        (t_2 (- (* k y2) (* j y3)))
        (t_3
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 t_2))
           (* c (- (* y y3) (* t y2))))))
        (t_4 (- (* c y0) (* a y1))))
   (if (<= i -1.6e+26)
     t_1
     (if (<= i -1e-56)
       (*
        y2
        (+
         (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_4))
         (* t (- (* a y5) (* c y4)))))
       (if (<= i -1.9e-73)
         t_1
         (if (<= i -2.65e-132)
           (* t_2 (* y1 y4))
           (if (<= i -7.5e-258)
             (* (* y0 y3) (- (* j y5) (* z c)))
             (if (<= i 9e-232)
               t_3
               (if (<= i 80000000.0)
                 (* a (* z (* t (- (/ (* y1 y3) t) b))))
                 (if (<= i 3.5e+52)
                   t_3
                   (if (<= i 1e+138)
                     (*
                      x
                      (+
                       (+ (* y (- (* a b) (* c i))) (* y2 t_4))
                       (* j (- (* i y1) (* b y0)))))
                     (if (<= i 1.25e+178)
                       (*
                        a
                        (+
                         (* b (- (* x y) (* z t)))
                         (* y5 (- (* t y2) (* y y3)))))
                       t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	double t_2 = (k * y2) - (j * y3);
	double t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	double t_4 = (c * y0) - (a * y1);
	double tmp;
	if (i <= -1.6e+26) {
		tmp = t_1;
	} else if (i <= -1e-56) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	} else if (i <= -1.9e-73) {
		tmp = t_1;
	} else if (i <= -2.65e-132) {
		tmp = t_2 * (y1 * y4);
	} else if (i <= -7.5e-258) {
		tmp = (y0 * y3) * ((j * y5) - (z * c));
	} else if (i <= 9e-232) {
		tmp = t_3;
	} else if (i <= 80000000.0) {
		tmp = a * (z * (t * (((y1 * y3) / t) - b)));
	} else if (i <= 3.5e+52) {
		tmp = t_3;
	} else if (i <= 1e+138) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (i <= 1.25e+178) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
    t_2 = (k * y2) - (j * y3)
    t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))))
    t_4 = (c * y0) - (a * y1)
    if (i <= (-1.6d+26)) then
        tmp = t_1
    else if (i <= (-1d-56)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))))
    else if (i <= (-1.9d-73)) then
        tmp = t_1
    else if (i <= (-2.65d-132)) then
        tmp = t_2 * (y1 * y4)
    else if (i <= (-7.5d-258)) then
        tmp = (y0 * y3) * ((j * y5) - (z * c))
    else if (i <= 9d-232) then
        tmp = t_3
    else if (i <= 80000000.0d0) then
        tmp = a * (z * (t * (((y1 * y3) / t) - b)))
    else if (i <= 3.5d+52) then
        tmp = t_3
    else if (i <= 1d+138) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
    else if (i <= 1.25d+178) then
        tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	double t_2 = (k * y2) - (j * y3);
	double t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	double t_4 = (c * y0) - (a * y1);
	double tmp;
	if (i <= -1.6e+26) {
		tmp = t_1;
	} else if (i <= -1e-56) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	} else if (i <= -1.9e-73) {
		tmp = t_1;
	} else if (i <= -2.65e-132) {
		tmp = t_2 * (y1 * y4);
	} else if (i <= -7.5e-258) {
		tmp = (y0 * y3) * ((j * y5) - (z * c));
	} else if (i <= 9e-232) {
		tmp = t_3;
	} else if (i <= 80000000.0) {
		tmp = a * (z * (t * (((y1 * y3) / t) - b)));
	} else if (i <= 3.5e+52) {
		tmp = t_3;
	} else if (i <= 1e+138) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (i <= 1.25e+178) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
	t_2 = (k * y2) - (j * y3)
	t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))))
	t_4 = (c * y0) - (a * y1)
	tmp = 0
	if i <= -1.6e+26:
		tmp = t_1
	elif i <= -1e-56:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))))
	elif i <= -1.9e-73:
		tmp = t_1
	elif i <= -2.65e-132:
		tmp = t_2 * (y1 * y4)
	elif i <= -7.5e-258:
		tmp = (y0 * y3) * ((j * y5) - (z * c))
	elif i <= 9e-232:
		tmp = t_3
	elif i <= 80000000.0:
		tmp = a * (z * (t * (((y1 * y3) / t) - b)))
	elif i <= 3.5e+52:
		tmp = t_3
	elif i <= 1e+138:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
	elif i <= 1.25e+178:
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y5 * Float64(Float64(y * k) - Float64(t * j))))))
	t_2 = Float64(Float64(k * y2) - Float64(j * y3))
	t_3 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * t_2)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (i <= -1.6e+26)
		tmp = t_1;
	elseif (i <= -1e-56)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_4)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (i <= -1.9e-73)
		tmp = t_1;
	elseif (i <= -2.65e-132)
		tmp = Float64(t_2 * Float64(y1 * y4));
	elseif (i <= -7.5e-258)
		tmp = Float64(Float64(y0 * y3) * Float64(Float64(j * y5) - Float64(z * c)));
	elseif (i <= 9e-232)
		tmp = t_3;
	elseif (i <= 80000000.0)
		tmp = Float64(a * Float64(z * Float64(t * Float64(Float64(Float64(y1 * y3) / t) - b))));
	elseif (i <= 3.5e+52)
		tmp = t_3;
	elseif (i <= 1e+138)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_4)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (i <= 1.25e+178)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	t_2 = (k * y2) - (j * y3);
	t_3 = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	t_4 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (i <= -1.6e+26)
		tmp = t_1;
	elseif (i <= -1e-56)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	elseif (i <= -1.9e-73)
		tmp = t_1;
	elseif (i <= -2.65e-132)
		tmp = t_2 * (y1 * y4);
	elseif (i <= -7.5e-258)
		tmp = (y0 * y3) * ((j * y5) - (z * c));
	elseif (i <= 9e-232)
		tmp = t_3;
	elseif (i <= 80000000.0)
		tmp = a * (z * (t * (((y1 * y3) / t) - b)));
	elseif (i <= 3.5e+52)
		tmp = t_3;
	elseif (i <= 1e+138)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	elseif (i <= 1.25e+178)
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -1.6e+26], t$95$1, If[LessEqual[i, -1e-56], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.9e-73], t$95$1, If[LessEqual[i, -2.65e-132], N[(t$95$2 * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -7.5e-258], N[(N[(y0 * y3), $MachinePrecision] * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 9e-232], t$95$3, If[LessEqual[i, 80000000.0], N[(a * N[(z * N[(t * N[(N[(N[(y1 * y3), $MachinePrecision] / t), $MachinePrecision] - b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.5e+52], t$95$3, If[LessEqual[i, 1e+138], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.25e+178], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if i < -1.60000000000000014e26 or -1e-56 < i < -1.9000000000000001e-73 or 1.24999999999999998e178 < i

   1. Initial program 32.8%

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

   3. Taylor expanded in i around -inf 60.5%

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

   if -1.60000000000000014e26 < i < -1e-56

   1. Initial program 27.3%

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

   3. Taylor expanded in y2 around inf 82.8%

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

   if -1.9000000000000001e-73 < i < -2.65000000000000015e-132

   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. Add Preprocessing

   3. Taylor expanded in y4 around inf 57.3%

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

   4. Taylor expanded in y1 around inf 65.2%

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

      1. associate-*r* 65.3%

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

      2. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -2.65000000000000015e-132 < i < -7.4999999999999998e-258

   1. Initial program 28.9%

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

   3. Taylor expanded in y3 around -inf 60.4%

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

   4. Taylor expanded in y0 around inf 54.1%

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

      1. associate-*r* 51.1%

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

      2. *-commutative 51.1%

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

      3. +-commutative 51.1%

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

      4. mul-1-neg 51.1%

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

      5. unsub-neg 51.1%

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

      6. *-commutative 51.1%

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

      7. *-commutative 51.1%

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

   6. Simplified 51.1%

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

   if -7.4999999999999998e-258 < i < 8.99999999999999933e-232 or 8e7 < i < 3.5e52

   1. Initial program 34.8%

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

   3. Taylor expanded in y4 around inf 57.7%

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

   if 8.99999999999999933e-232 < i < 8e7

   1. Initial program 27.5%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in z around inf 43.8%

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

      1. +-commutative 43.8%

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

      2. mul-1-neg 43.8%

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

      3. unsub-neg 43.8%

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

      4. *-commutative 43.8%

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

   6. Simplified 43.8%

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

   7. Taylor expanded in t around inf 47.7%

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

   if 3.5e52 < i < 1e138

   1. Initial program 20.4%

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

   3. Taylor expanded in x around inf 73.4%

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

   if 1e138 < i < 1.24999999999999998e178

   1. Initial program 45.5%

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

   3. Taylor expanded in a around inf 46.1%

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

   4. Taylor expanded in y1 around 0 51.3%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 57.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -1.6 \cdot 10^{+26}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;i \leq -1 \cdot 10^{-56}:\\ \;\;\;\;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}\;i \leq -1.9 \cdot 10^{-73}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.65 \cdot 10^{-132}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-258}:\\ \;\;\;\;\left(y0 \cdot y3\right) \cdot \left(j \cdot y5 - z \cdot c\right)\\ \mathbf{elif}\;i \leq 9 \cdot 10^{-232}:\\ \;\;\;\;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 80000000:\\ \;\;\;\;a \cdot \left(z \cdot \left(t \cdot \left(\frac{y1 \cdot y3}{t} - b\right)\right)\right)\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{+52}:\\ \;\;\;\;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 10^{+138}:\\ \;\;\;\;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}\;i \leq 1.25 \cdot 10^{+178}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 40.0% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := x \cdot \left(\left(y \cdot t\_1 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_3 := a \cdot y1 - c \cdot y0\\ t_4 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot t\_3 - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{if}\;x \leq -4.5 \cdot 10^{+148}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{-174}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-269}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot t\_3 - t \cdot t\_1\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-218}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 3.9 \cdot 10^{-198}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-74}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{+160} \lor \neg \left(x \leq 3.6 \cdot 10^{+228}\right):\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2
         (*
          x
          (+
           (+ (* y t_1) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* i y1) (* b y0))))))
        (t_3 (- (* a y1) (* c y0)))
        (t_4
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (- (* z t_3) (* j (- (* y1 y4) (* y0 y5))))))))
   (if (<= x -4.5e+148)
     t_2
     (if (<= x -2.4e-174)
       t_4
       (if (<= x -4.5e-269)
         (* z (+ (* k (- (* b y0) (* i y1))) (- (* y3 t_3) (* t t_1))))
         (if (<= x 1.25e-218)
           (* a (+ (* b (- (* x y) (* z t))) (* y5 (- (* t y2) (* y y3)))))
           (if (<= x 3.9e-198)
             (* c (* z (- (* t i) (* y0 y3))))
             (if (<= x 6.2e-74)
               t_4
               (if (or (<= x 3.5e+160) (not (<= x 3.6e+228)))
                 t_2
                 (* b (* y0 (- (* 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 = (a * b) - (c * i);
	double t_2 = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_3 = (a * y1) - (c * y0);
	double t_4 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_3) - (j * ((y1 * y4) - (y0 * y5)))));
	double tmp;
	if (x <= -4.5e+148) {
		tmp = t_2;
	} else if (x <= -2.4e-174) {
		tmp = t_4;
	} else if (x <= -4.5e-269) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_3) - (t * t_1)));
	} else if (x <= 1.25e-218) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 3.9e-198) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (x <= 6.2e-74) {
		tmp = t_4;
	} else if ((x <= 3.5e+160) || !(x <= 3.6e+228)) {
		tmp = t_2;
	} else {
		tmp = b * (y0 * ((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) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    t_3 = (a * y1) - (c * y0)
    t_4 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_3) - (j * ((y1 * y4) - (y0 * y5)))))
    if (x <= (-4.5d+148)) then
        tmp = t_2
    else if (x <= (-2.4d-174)) then
        tmp = t_4
    else if (x <= (-4.5d-269)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_3) - (t * t_1)))
    else if (x <= 1.25d-218) then
        tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    else if (x <= 3.9d-198) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (x <= 6.2d-74) then
        tmp = t_4
    else if ((x <= 3.5d+160) .or. (.not. (x <= 3.6d+228))) then
        tmp = t_2
    else
        tmp = b * (y0 * ((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 = (a * b) - (c * i);
	double t_2 = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_3 = (a * y1) - (c * y0);
	double t_4 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_3) - (j * ((y1 * y4) - (y0 * y5)))));
	double tmp;
	if (x <= -4.5e+148) {
		tmp = t_2;
	} else if (x <= -2.4e-174) {
		tmp = t_4;
	} else if (x <= -4.5e-269) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_3) - (t * t_1)));
	} else if (x <= 1.25e-218) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 3.9e-198) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (x <= 6.2e-74) {
		tmp = t_4;
	} else if ((x <= 3.5e+160) || !(x <= 3.6e+228)) {
		tmp = t_2;
	} else {
		tmp = b * (y0 * ((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 = (a * b) - (c * i)
	t_2 = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	t_3 = (a * y1) - (c * y0)
	t_4 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_3) - (j * ((y1 * y4) - (y0 * y5)))))
	tmp = 0
	if x <= -4.5e+148:
		tmp = t_2
	elif x <= -2.4e-174:
		tmp = t_4
	elif x <= -4.5e-269:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_3) - (t * t_1)))
	elif x <= 1.25e-218:
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	elif x <= 3.9e-198:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif x <= 6.2e-74:
		tmp = t_4
	elif (x <= 3.5e+160) or not (x <= 3.6e+228):
		tmp = t_2
	else:
		tmp = b * (y0 * ((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(a * b) - Float64(c * i))
	t_2 = Float64(x * Float64(Float64(Float64(y * t_1) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_3 = Float64(Float64(a * y1) - Float64(c * y0))
	t_4 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * t_3) - Float64(j * Float64(Float64(y1 * y4) - Float64(y0 * y5))))))
	tmp = 0.0
	if (x <= -4.5e+148)
		tmp = t_2;
	elseif (x <= -2.4e-174)
		tmp = t_4;
	elseif (x <= -4.5e-269)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * t_3) - Float64(t * t_1))));
	elseif (x <= 1.25e-218)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (x <= 3.9e-198)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (x <= 6.2e-74)
		tmp = t_4;
	elseif ((x <= 3.5e+160) || !(x <= 3.6e+228))
		tmp = t_2;
	else
		tmp = Float64(b * Float64(y0 * 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 = (a * b) - (c * i);
	t_2 = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	t_3 = (a * y1) - (c * y0);
	t_4 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_3) - (j * ((y1 * y4) - (y0 * y5)))));
	tmp = 0.0;
	if (x <= -4.5e+148)
		tmp = t_2;
	elseif (x <= -2.4e-174)
		tmp = t_4;
	elseif (x <= -4.5e-269)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_3) - (t * t_1)));
	elseif (x <= 1.25e-218)
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	elseif (x <= 3.9e-198)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (x <= 6.2e-74)
		tmp = t_4;
	elseif ((x <= 3.5e+160) || ~((x <= 3.6e+228)))
		tmp = t_2;
	else
		tmp = b * (y0 * ((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[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(N[(y * t$95$1), $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$3 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * t$95$3), $MachinePrecision] - N[(j * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -4.5e+148], t$95$2, If[LessEqual[x, -2.4e-174], t$95$4, If[LessEqual[x, -4.5e-269], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * t$95$3), $MachinePrecision] - N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.25e-218], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.9e-198], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.2e-74], t$95$4, If[Or[LessEqual[x, 3.5e+160], N[Not[LessEqual[x, 3.6e+228]], $MachinePrecision]], t$95$2, N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if x < -4.49999999999999994e148 or 6.2000000000000003e-74 < x < 3.50000000000000026e160 or 3.6e228 < x

   1. Initial program 25.8%

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

   3. Taylor expanded in x around inf 63.9%

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

   if -4.49999999999999994e148 < x < -2.4e-174 or 3.8999999999999999e-198 < x < 6.2000000000000003e-74

   1. Initial program 38.4%

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

   3. Taylor expanded in y3 around -inf 53.2%

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

   if -2.4e-174 < x < -4.5000000000000001e-269

   1. Initial program 44.3%

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

   3. Taylor expanded in z around -inf 56.4%

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

   if -4.5000000000000001e-269 < x < 1.2500000000000001e-218

   1. Initial program 37.3%

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

   3. Taylor expanded in a around inf 48.9%

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

   4. Taylor expanded in y1 around 0 59.6%

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

   if 1.2500000000000001e-218 < x < 3.8999999999999999e-198

   1. Initial program 33.1%

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

   3. Taylor expanded in c around inf 67.8%

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

   4. Taylor expanded in z around inf 84.2%

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

   if 3.50000000000000026e160 < x < 3.6e228

   1. Initial program 15.4%

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

   3. Taylor expanded in b around inf 53.8%

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

   4. Taylor expanded in y0 around inf 61.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 59.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4.5 \cdot 10^{+148}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{-174}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-269}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-218}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 3.9 \cdot 10^{-198}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-74}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{+160} \lor \neg \left(x \leq 3.6 \cdot 10^{+228}\right):\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 39.9% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := a \cdot b - c \cdot i\\ t_3 := i \cdot y1 - b \cdot y0\\ t_4 := x \cdot \left(\left(y \cdot t\_2 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t\_3\right)\\ \mathbf{if}\;x \leq -9.2 \cdot 10^{+133}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;x \leq -4.9 \cdot 10^{-119}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_3\right)\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-269}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot t\_1 - t \cdot t\_2\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-219}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.95 \cdot 10^{-197}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-74}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot t\_1 - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+162} \lor \neg \left(x \leq 3.5 \cdot 10^{+228}\right):\\ \;\;\;\;t\_4\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0)))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* i y1) (* b y0)))
        (t_4 (* x (+ (+ (* y t_2) (* y2 (- (* c y0) (* a y1)))) (* j t_3)))))
   (if (<= x -9.2e+133)
     t_4
     (if (<= x -4.9e-119)
       (*
        j
        (+
         (+ (* y3 (- (* y0 y5) (* y1 y4))) (* t (- (* b y4) (* i y5))))
         (* x t_3)))
       (if (<= x -3.1e-269)
         (* z (+ (* k (- (* b y0) (* i y1))) (- (* y3 t_1) (* t t_2))))
         (if (<= x 1.15e-219)
           (* a (+ (* b (- (* x y) (* z t))) (* y5 (- (* t y2) (* y y3)))))
           (if (<= x 1.95e-197)
             (* c (* z (- (* t i) (* y0 y3))))
             (if (<= x 1.9e-74)
               (*
                y3
                (+
                 (* y (- (* c y4) (* a y5)))
                 (- (* z t_1) (* j (- (* y1 y4) (* y0 y5))))))
               (if (or (<= x 5.5e+162) (not (<= x 3.5e+228)))
                 t_4
                 (* b (* y0 (- (* 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 = (a * y1) - (c * y0);
	double t_2 = (a * b) - (c * i);
	double t_3 = (i * y1) - (b * y0);
	double t_4 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	double tmp;
	if (x <= -9.2e+133) {
		tmp = t_4;
	} else if (x <= -4.9e-119) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	} else if (x <= -3.1e-269) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_1) - (t * t_2)));
	} else if (x <= 1.15e-219) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 1.95e-197) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (x <= 1.9e-74) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_1) - (j * ((y1 * y4) - (y0 * y5)))));
	} else if ((x <= 5.5e+162) || !(x <= 3.5e+228)) {
		tmp = t_4;
	} else {
		tmp = b * (y0 * ((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) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    t_2 = (a * b) - (c * i)
    t_3 = (i * y1) - (b * y0)
    t_4 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
    if (x <= (-9.2d+133)) then
        tmp = t_4
    else if (x <= (-4.9d-119)) then
        tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3))
    else if (x <= (-3.1d-269)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_1) - (t * t_2)))
    else if (x <= 1.15d-219) then
        tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    else if (x <= 1.95d-197) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (x <= 1.9d-74) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_1) - (j * ((y1 * y4) - (y0 * y5)))))
    else if ((x <= 5.5d+162) .or. (.not. (x <= 3.5d+228))) then
        tmp = t_4
    else
        tmp = b * (y0 * ((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 = (a * y1) - (c * y0);
	double t_2 = (a * b) - (c * i);
	double t_3 = (i * y1) - (b * y0);
	double t_4 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	double tmp;
	if (x <= -9.2e+133) {
		tmp = t_4;
	} else if (x <= -4.9e-119) {
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	} else if (x <= -3.1e-269) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_1) - (t * t_2)));
	} else if (x <= 1.15e-219) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (x <= 1.95e-197) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (x <= 1.9e-74) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_1) - (j * ((y1 * y4) - (y0 * y5)))));
	} else if ((x <= 5.5e+162) || !(x <= 3.5e+228)) {
		tmp = t_4;
	} else {
		tmp = b * (y0 * ((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 = (a * y1) - (c * y0)
	t_2 = (a * b) - (c * i)
	t_3 = (i * y1) - (b * y0)
	t_4 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3))
	tmp = 0
	if x <= -9.2e+133:
		tmp = t_4
	elif x <= -4.9e-119:
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3))
	elif x <= -3.1e-269:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_1) - (t * t_2)))
	elif x <= 1.15e-219:
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	elif x <= 1.95e-197:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif x <= 1.9e-74:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_1) - (j * ((y1 * y4) - (y0 * y5)))))
	elif (x <= 5.5e+162) or not (x <= 3.5e+228):
		tmp = t_4
	else:
		tmp = b * (y0 * ((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(a * y1) - Float64(c * y0))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(i * y1) - Float64(b * y0))
	t_4 = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_3)))
	tmp = 0.0
	if (x <= -9.2e+133)
		tmp = t_4;
	elseif (x <= -4.9e-119)
		tmp = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_3)));
	elseif (x <= -3.1e-269)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * t_1) - Float64(t * t_2))));
	elseif (x <= 1.15e-219)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (x <= 1.95e-197)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (x <= 1.9e-74)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * t_1) - Float64(j * Float64(Float64(y1 * y4) - Float64(y0 * y5))))));
	elseif ((x <= 5.5e+162) || !(x <= 3.5e+228))
		tmp = t_4;
	else
		tmp = Float64(b * Float64(y0 * 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 = (a * y1) - (c * y0);
	t_2 = (a * b) - (c * i);
	t_3 = (i * y1) - (b * y0);
	t_4 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_3));
	tmp = 0.0;
	if (x <= -9.2e+133)
		tmp = t_4;
	elseif (x <= -4.9e-119)
		tmp = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) + (x * t_3));
	elseif (x <= -3.1e-269)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * t_1) - (t * t_2)));
	elseif (x <= 1.15e-219)
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	elseif (x <= 1.95e-197)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (x <= 1.9e-74)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * t_1) - (j * ((y1 * y4) - (y0 * y5)))));
	elseif ((x <= 5.5e+162) || ~((x <= 3.5e+228)))
		tmp = t_4;
	else
		tmp = b * (y0 * ((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[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -9.2e+133], t$95$4, If[LessEqual[x, -4.9e-119], N[(j * N[(N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.1e-269], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * t$95$1), $MachinePrecision] - N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.15e-219], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.95e-197], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.9e-74], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * t$95$1), $MachinePrecision] - N[(j * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[x, 5.5e+162], N[Not[LessEqual[x, 3.5e+228]], $MachinePrecision]], t$95$4, N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if x < -9.1999999999999996e133 or 1.8999999999999998e-74 < x < 5.49999999999999966e162 or 3.5000000000000002e228 < x

   1. Initial program 25.6%

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

   3. Taylor expanded in x around inf 63.2%

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

   if -9.1999999999999996e133 < x < -4.9e-119

   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. Add Preprocessing

   3. Taylor expanded in j around inf 63.5%

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

   if -4.9e-119 < x < -3.09999999999999967e-269

   1. Initial program 48.0%

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

   3. Taylor expanded in z around -inf 54.6%

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

   if -3.09999999999999967e-269 < x < 1.14999999999999994e-219

   1. Initial program 37.3%

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

   3. Taylor expanded in a around inf 48.9%

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

   4. Taylor expanded in y1 around 0 59.6%

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

   if 1.14999999999999994e-219 < x < 1.95e-197

   1. Initial program 33.1%

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

   3. Taylor expanded in c around inf 67.8%

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

   4. Taylor expanded in z around inf 84.2%

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

   if 1.95e-197 < x < 1.8999999999999998e-74

   1. Initial program 41.1%

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

   3. Taylor expanded in y3 around -inf 53.9%

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

   if 5.49999999999999966e162 < x < 3.5000000000000002e228

   1. Initial program 15.4%

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

   3. Taylor expanded in b around inf 53.8%

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

   4. Taylor expanded in y0 around inf 61.5%

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

4. Final simplification 61.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -9.2 \cdot 10^{+133}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -4.9 \cdot 10^{-119}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-269}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) - t \cdot \left(a \cdot b - c \cdot i\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-219}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.95 \cdot 10^{-197}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-74}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+162} \lor \neg \left(x \leq 3.5 \cdot 10^{+228}\right):\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 43.1% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t\_4\right)\right)\\ \mathbf{if}\;i \leq -7 \cdot 10^{+29}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq -2.2 \cdot 10^{-60}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_4 + x \cdot t\_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -1.65 \cdot 10^{-259}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;i \leq 5.7 \cdot 10^{-195}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 1.28 \cdot 10^{-86}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{+52}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 4.4 \cdot 10^{+140}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.28 \cdot 10^{+190}:\\ \;\;\;\;t\_5\\ \mathbf{else}:\\ \;\;\;\;t\_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2))))))
        (t_2 (- (* c y0) (* a y1)))
        (t_3
         (*
          i
          (+
           (* y1 (- (* x j) (* z k)))
           (+ (* c (- (* z t) (* x y))) (* y5 (- (* y k) (* t j)))))))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (- (* z (- (* a y1) (* c y0))) (* j t_4))))))
   (if (<= i -7e+29)
     t_3
     (if (<= i -2.2e-60)
       (* y2 (+ (+ (* k t_4) (* x t_2)) (* t (- (* a y5) (* c y4)))))
       (if (<= i -1.65e-259)
         t_5
         (if (<= i 5.7e-195)
           t_1
           (if (<= i 1.28e-86)
             t_5
             (if (<= i 2.7e+52)
               t_1
               (if (<= i 4.4e+140)
                 (*
                  x
                  (+
                   (+ (* y (- (* a b) (* c i))) (* y2 t_2))
                   (* j (- (* i y1) (* b y0)))))
                 (if (<= i 1.28e+190) t_5 t_3))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	double tmp;
	if (i <= -7e+29) {
		tmp = t_3;
	} else if (i <= -2.2e-60) {
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (i <= -1.65e-259) {
		tmp = t_5;
	} else if (i <= 5.7e-195) {
		tmp = t_1;
	} else if (i <= 1.28e-86) {
		tmp = t_5;
	} else if (i <= 2.7e+52) {
		tmp = t_1;
	} else if (i <= 4.4e+140) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (i <= 1.28e+190) {
		tmp = t_5;
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    t_2 = (c * y0) - (a * y1)
    t_3 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
    if (i <= (-7d+29)) then
        tmp = t_3
    else if (i <= (-2.2d-60)) then
        tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    else if (i <= (-1.65d-259)) then
        tmp = t_5
    else if (i <= 5.7d-195) then
        tmp = t_1
    else if (i <= 1.28d-86) then
        tmp = t_5
    else if (i <= 2.7d+52) then
        tmp = t_1
    else if (i <= 4.4d+140) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
    else if (i <= 1.28d+190) then
        tmp = t_5
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	double tmp;
	if (i <= -7e+29) {
		tmp = t_3;
	} else if (i <= -2.2e-60) {
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (i <= -1.65e-259) {
		tmp = t_5;
	} else if (i <= 5.7e-195) {
		tmp = t_1;
	} else if (i <= 1.28e-86) {
		tmp = t_5;
	} else if (i <= 2.7e+52) {
		tmp = t_1;
	} else if (i <= 4.4e+140) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (i <= 1.28e+190) {
		tmp = t_5;
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	t_2 = (c * y0) - (a * y1)
	t_3 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
	tmp = 0
	if i <= -7e+29:
		tmp = t_3
	elif i <= -2.2e-60:
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	elif i <= -1.65e-259:
		tmp = t_5
	elif i <= 5.7e-195:
		tmp = t_1
	elif i <= 1.28e-86:
		tmp = t_5
	elif i <= 2.7e+52:
		tmp = t_1
	elif i <= 4.4e+140:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
	elif i <= 1.28e+190:
		tmp = t_5
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y5 * Float64(Float64(y * k) - Float64(t * j))))))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = 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_4))))
	tmp = 0.0
	if (i <= -7e+29)
		tmp = t_3;
	elseif (i <= -2.2e-60)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_4) + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (i <= -1.65e-259)
		tmp = t_5;
	elseif (i <= 5.7e-195)
		tmp = t_1;
	elseif (i <= 1.28e-86)
		tmp = t_5;
	elseif (i <= 2.7e+52)
		tmp = t_1;
	elseif (i <= 4.4e+140)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (i <= 1.28e+190)
		tmp = t_5;
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	t_2 = (c * y0) - (a * y1);
	t_3 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	tmp = 0.0;
	if (i <= -7e+29)
		tmp = t_3;
	elseif (i <= -2.2e-60)
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	elseif (i <= -1.65e-259)
		tmp = t_5;
	elseif (i <= 5.7e-195)
		tmp = t_1;
	elseif (i <= 1.28e-86)
		tmp = t_5;
	elseif (i <= 2.7e+52)
		tmp = t_1;
	elseif (i <= 4.4e+140)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	elseif (i <= 1.28e+190)
		tmp = t_5;
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = 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$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -7e+29], t$95$3, If[LessEqual[i, -2.2e-60], 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[i, -1.65e-259], t$95$5, If[LessEqual[i, 5.7e-195], t$95$1, If[LessEqual[i, 1.28e-86], t$95$5, If[LessEqual[i, 2.7e+52], t$95$1, If[LessEqual[i, 4.4e+140], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $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[i, 1.28e+190], t$95$5, t$95$3]]]]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if i < -6.99999999999999958e29 or 1.28e190 < i

   1. Initial program 32.4%

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

   3. Taylor expanded in i around -inf 59.4%

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

   if -6.99999999999999958e29 < i < -2.1999999999999999e-60

   1. Initial program 33.2%

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

   3. Taylor expanded in y2 around inf 76.1%

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

   if -2.1999999999999999e-60 < i < -1.65e-259 or 5.7e-195 < i < 1.27999999999999992e-86 or 4.3999999999999997e140 < i < 1.28e190

   1. Initial program 36.3%

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

   3. Taylor expanded in y3 around -inf 57.9%

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

   if -1.65e-259 < i < 5.7e-195 or 1.27999999999999992e-86 < i < 2.7e52

   1. Initial program 31.1%

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

   3. Taylor expanded in y4 around inf 55.5%

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

   if 2.7e52 < i < 4.3999999999999997e140

   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. Add Preprocessing

   3. Taylor expanded in x around inf 68.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 59.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -7 \cdot 10^{+29}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.2 \cdot 10^{-60}:\\ \;\;\;\;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}\;i \leq -1.65 \cdot 10^{-259}:\\ \;\;\;\;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 5.7 \cdot 10^{-195}:\\ \;\;\;\;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 1.28 \cdot 10^{-86}:\\ \;\;\;\;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 2.7 \cdot 10^{+52}:\\ \;\;\;\;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 4.4 \cdot 10^{+140}:\\ \;\;\;\;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}\;i \leq 1.28 \cdot 10^{+190}:\\ \;\;\;\;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{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 29.4% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_2 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_3 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y3 \leq -2.8 \cdot 10^{+63}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -96000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -1.24 \cdot 10^{-82}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -4.8 \cdot 10^{-240}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 8 \cdot 10^{-98}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 8.5 \cdot 10^{-35}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq 0.007:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 2.85 \cdot 10^{+45}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 10^{+123}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{+190}:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k)))))
        (t_2 (* b (* y0 (- (* z k) (* x j)))))
        (t_3 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y3 -2.8e+63)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -96000.0)
       t_1
       (if (<= y3 -1.24e-82)
         t_3
         (if (<= y3 -4.8e-240)
           t_2
           (if (<= y3 8e-98)
             t_1
             (if (<= y3 8.5e-35)
               t_3
               (if (<= y3 0.007)
                 (* (* x c) (* y (- i)))
                 (if (<= y3 2.85e+45)
                   (* c (* x (* y0 y2)))
                   (if (<= y3 1e+123)
                     t_2
                     (if (<= y3 9.5e+190) t_3 (* 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 t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = b * (y0 * ((z * k) - (x * j)));
	double t_3 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -2.8e+63) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -96000.0) {
		tmp = t_1;
	} else if (y3 <= -1.24e-82) {
		tmp = t_3;
	} else if (y3 <= -4.8e-240) {
		tmp = t_2;
	} else if (y3 <= 8e-98) {
		tmp = t_1;
	} else if (y3 <= 8.5e-35) {
		tmp = t_3;
	} else if (y3 <= 0.007) {
		tmp = (x * c) * (y * -i);
	} else if (y3 <= 2.85e+45) {
		tmp = c * (x * (y0 * y2));
	} else if (y3 <= 1e+123) {
		tmp = t_2;
	} else if (y3 <= 9.5e+190) {
		tmp = t_3;
	} 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) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    t_2 = b * (y0 * ((z * k) - (x * j)))
    t_3 = a * (y5 * ((t * y2) - (y * y3)))
    if (y3 <= (-2.8d+63)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-96000.0d0)) then
        tmp = t_1
    else if (y3 <= (-1.24d-82)) then
        tmp = t_3
    else if (y3 <= (-4.8d-240)) then
        tmp = t_2
    else if (y3 <= 8d-98) then
        tmp = t_1
    else if (y3 <= 8.5d-35) then
        tmp = t_3
    else if (y3 <= 0.007d0) then
        tmp = (x * c) * (y * -i)
    else if (y3 <= 2.85d+45) then
        tmp = c * (x * (y0 * y2))
    else if (y3 <= 1d+123) then
        tmp = t_2
    else if (y3 <= 9.5d+190) then
        tmp = t_3
    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 t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = b * (y0 * ((z * k) - (x * j)));
	double t_3 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -2.8e+63) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -96000.0) {
		tmp = t_1;
	} else if (y3 <= -1.24e-82) {
		tmp = t_3;
	} else if (y3 <= -4.8e-240) {
		tmp = t_2;
	} else if (y3 <= 8e-98) {
		tmp = t_1;
	} else if (y3 <= 8.5e-35) {
		tmp = t_3;
	} else if (y3 <= 0.007) {
		tmp = (x * c) * (y * -i);
	} else if (y3 <= 2.85e+45) {
		tmp = c * (x * (y0 * y2));
	} else if (y3 <= 1e+123) {
		tmp = t_2;
	} else if (y3 <= 9.5e+190) {
		tmp = t_3;
	} 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):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	t_2 = b * (y0 * ((z * k) - (x * j)))
	t_3 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y3 <= -2.8e+63:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -96000.0:
		tmp = t_1
	elif y3 <= -1.24e-82:
		tmp = t_3
	elif y3 <= -4.8e-240:
		tmp = t_2
	elif y3 <= 8e-98:
		tmp = t_1
	elif y3 <= 8.5e-35:
		tmp = t_3
	elif y3 <= 0.007:
		tmp = (x * c) * (y * -i)
	elif y3 <= 2.85e+45:
		tmp = c * (x * (y0 * y2))
	elif y3 <= 1e+123:
		tmp = t_2
	elif y3 <= 9.5e+190:
		tmp = t_3
	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)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	t_2 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	t_3 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y3 <= -2.8e+63)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -96000.0)
		tmp = t_1;
	elseif (y3 <= -1.24e-82)
		tmp = t_3;
	elseif (y3 <= -4.8e-240)
		tmp = t_2;
	elseif (y3 <= 8e-98)
		tmp = t_1;
	elseif (y3 <= 8.5e-35)
		tmp = t_3;
	elseif (y3 <= 0.007)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	elseif (y3 <= 2.85e+45)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y3 <= 1e+123)
		tmp = t_2;
	elseif (y3 <= 9.5e+190)
		tmp = t_3;
	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)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	t_2 = b * (y0 * ((z * k) - (x * j)));
	t_3 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y3 <= -2.8e+63)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -96000.0)
		tmp = t_1;
	elseif (y3 <= -1.24e-82)
		tmp = t_3;
	elseif (y3 <= -4.8e-240)
		tmp = t_2;
	elseif (y3 <= 8e-98)
		tmp = t_1;
	elseif (y3 <= 8.5e-35)
		tmp = t_3;
	elseif (y3 <= 0.007)
		tmp = (x * c) * (y * -i);
	elseif (y3 <= 2.85e+45)
		tmp = c * (x * (y0 * y2));
	elseif (y3 <= 1e+123)
		tmp = t_2;
	elseif (y3 <= 9.5e+190)
		tmp = t_3;
	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_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.8e+63], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -96000.0], t$95$1, If[LessEqual[y3, -1.24e-82], t$95$3, If[LessEqual[y3, -4.8e-240], t$95$2, If[LessEqual[y3, 8e-98], t$95$1, If[LessEqual[y3, 8.5e-35], t$95$3, If[LessEqual[y3, 0.007], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.85e+45], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1e+123], t$95$2, If[LessEqual[y3, 9.5e+190], t$95$3, N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -2.79999999999999987e63

   1. Initial program 24.5%

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

   3. Taylor expanded in a around inf 42.4%

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

   4. Taylor expanded in y3 around inf 57.8%

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

      1. *-commutative 57.8%

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

   6. Simplified 57.8%

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

   if -2.79999999999999987e63 < y3 < -96000 or -4.7999999999999999e-240 < y3 < 7.99999999999999951e-98

   1. Initial program 41.9%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around inf 37.8%

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

      1. *-commutative 37.8%

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

   6. Simplified 37.8%

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

   if -96000 < y3 < -1.23999999999999997e-82 or 7.99999999999999951e-98 < y3 < 8.5000000000000001e-35 or 9.99999999999999978e122 < y3 < 9.4999999999999995e190

   1. Initial program 35.2%

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

   3. Taylor expanded in a around inf 38.1%

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

   4. Taylor expanded in y5 around inf 55.6%

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

      1. *-commutative 55.6%

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

   6. Simplified 55.6%

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

   if -1.23999999999999997e-82 < y3 < -4.7999999999999999e-240 or 2.85000000000000013e45 < y3 < 9.99999999999999978e122

   1. Initial program 43.2%

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

   3. Taylor expanded in b around inf 48.6%

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

   4. Taylor expanded in y0 around inf 48.3%

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

   if 8.5000000000000001e-35 < y3 < 0.00700000000000000015

   1. Initial program 57.2%

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

   3. Taylor expanded in c around inf 71.2%

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

   4. Taylor expanded in x around inf 43.3%

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

      1. associate-*r* 43.3%

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

      2. +-commutative 43.3%

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

      3. mul-1-neg 43.3%

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

      4. unsub-neg 43.3%

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

      5. *-commutative 43.3%

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

   6. Simplified 43.3%

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

   7. Taylor expanded in y0 around 0 58.0%

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

      1. neg-mul-1 58.0%

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

      2. distribute-rgt-neg-in 58.0%

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

   9. Simplified 58.0%

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

   if 0.00700000000000000015 < y3 < 2.85000000000000013e45

   1. Initial program 8.9%

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

   3. Taylor expanded in c around inf 46.3%

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

   4. Taylor expanded in x around inf 55.5%

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

      1. associate-*r* 55.5%

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

      2. +-commutative 55.5%

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

      3. mul-1-neg 55.5%

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

      4. unsub-neg 55.5%

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

      5. *-commutative 55.5%

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

   6. Simplified 55.5%

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

   7. Taylor expanded in y0 around inf 38.0%

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

   if 9.4999999999999995e190 < y3

   1. Initial program 4.2%

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

   3. Taylor expanded in c around inf 45.8%

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

   4. Taylor expanded in y around -inf 67.2%

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

      1. mul-1-neg 67.2%

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

      2. associate-*r* 63.0%

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

      3. *-commutative 63.0%

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

   6. Simplified 63.0%

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

   7. Taylor expanded in x around 0 62.9%

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

4. Final simplification 49.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.8 \cdot 10^{+63}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -96000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -1.24 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -4.8 \cdot 10^{-240}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 8 \cdot 10^{-98}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 8.5 \cdot 10^{-35}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 0.007:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 2.85 \cdot 10^{+45}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 10^{+123}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{+190}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 37.1% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;a \leq -5.8 \cdot 10^{+57}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-23}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-198}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-61}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 1.26 \cdot 10^{+44}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{+162}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1 + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* i y1) (* b y0)))))))
   (if (<= a -5.8e+57)
     (* a (* b (* t (- (* y2 (/ y5 b)) z))))
     (if (<= a -3.9e-23)
       (* c (* z (- (* t i) (* y0 y3))))
       (if (<= a -1.1e-198)
         (*
          b
          (+
           (+ (* a t_1) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))
         (if (<= a 7.5e-61)
           t_2
           (if (<= a 1.26e+44)
             (* y1 (* y4 (- (* k y2) (* j y3))))
             (if (<= a 2.7e+162)
               t_2
               (* a (+ (* b t_1) (* y5 (- (* t y2) (* y 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 = (x * y) - (z * t);
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double tmp;
	if (a <= -5.8e+57) {
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	} else if (a <= -3.9e-23) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (a <= -1.1e-198) {
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 7.5e-61) {
		tmp = t_2;
	} else if (a <= 1.26e+44) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (a <= 2.7e+162) {
		tmp = t_2;
	} else {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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) :: t_2
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    if (a <= (-5.8d+57)) then
        tmp = a * (b * (t * ((y2 * (y5 / b)) - z)))
    else if (a <= (-3.9d-23)) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (a <= (-1.1d-198)) then
        tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else if (a <= 7.5d-61) then
        tmp = t_2
    else if (a <= 1.26d+44) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (a <= 2.7d+162) then
        tmp = t_2
    else
        tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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 = (x * y) - (z * t);
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double tmp;
	if (a <= -5.8e+57) {
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	} else if (a <= -3.9e-23) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (a <= -1.1e-198) {
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 7.5e-61) {
		tmp = t_2;
	} else if (a <= 1.26e+44) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (a <= 2.7e+162) {
		tmp = t_2;
	} else {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	}
	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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	tmp = 0
	if a <= -5.8e+57:
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)))
	elif a <= -3.9e-23:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif a <= -1.1e-198:
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	elif a <= 7.5e-61:
		tmp = t_2
	elif a <= 1.26e+44:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif a <= 2.7e+162:
		tmp = t_2
	else:
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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(Float64(x * y) - Float64(z * t))
	t_2 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	tmp = 0.0
	if (a <= -5.8e+57)
		tmp = Float64(a * Float64(b * Float64(t * Float64(Float64(y2 * Float64(y5 / b)) - z))));
	elseif (a <= -3.9e-23)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (a <= -1.1e-198)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (a <= 7.5e-61)
		tmp = t_2;
	elseif (a <= 1.26e+44)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (a <= 2.7e+162)
		tmp = t_2;
	else
		tmp = Float64(a * Float64(Float64(b * t_1) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * 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 = (x * y) - (z * t);
	t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	tmp = 0.0;
	if (a <= -5.8e+57)
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	elseif (a <= -3.9e-23)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (a <= -1.1e-198)
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	elseif (a <= 7.5e-61)
		tmp = t_2;
	elseif (a <= 1.26e+44)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (a <= 2.7e+162)
		tmp = t_2;
	else
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -5.8e+57], N[(a * N[(b * N[(t * N[(N[(y2 * N[(y5 / b), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.9e-23], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.1e-198], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7.5e-61], t$95$2, If[LessEqual[a, 1.26e+44], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.7e+162], t$95$2, N[(a * N[(N[(b * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if a < -5.8000000000000003e57

   1. Initial program 26.8%

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

   3. Taylor expanded in a around inf 40.0%

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

   4. Taylor expanded in b around inf 36.3%

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

      1. +-commutative 36.3%

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

      2. mul-1-neg 36.3%

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

      3. unsub-neg 36.3%

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

      4. *-commutative 36.3%

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

      5. associate-/l* 39.7%

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

      6. +-commutative 39.7%

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

      7. mul-1-neg 39.7%

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

      8. unsub-neg 39.7%

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

      9. *-commutative 39.7%

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

      10. associate-/l* 41.5%

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

      11. *-commutative 41.5%

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

   6. Simplified 41.5%

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

   7. Taylor expanded in t around inf 47.4%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(\frac{y2 \cdot y5}{b} - z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. associate-/l* 51.0%

         \[\leadsto a \cdot \left(b \cdot \left(t \cdot \left(\color{blue}{y2 \cdot \frac{y5}{b}} - z\right)\right)\right) \]

   9. Simplified 51.0%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)}\right) \]

   if -5.8000000000000003e57 < a < -3.9e-23

   1. Initial program 12.5%

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

   3. Taylor expanded in c around inf 68.8%

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

   4. Taylor expanded in z around inf 69.5%

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

   if -3.9e-23 < a < -1.1e-198

   1. Initial program 42.9%

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

   3. Taylor expanded in b around inf 62.6%

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

   if -1.1e-198 < a < 7.50000000000000047e-61 or 1.25999999999999996e44 < a < 2.7000000000000002e162

   1. Initial program 36.1%

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

   3. Taylor expanded in x around inf 46.5%

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

   if 7.50000000000000047e-61 < a < 1.25999999999999996e44

   1. Initial program 16.9%

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

   3. Taylor expanded in y4 around inf 21.5%

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

   4. Taylor expanded in y1 around inf 42.7%

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

   if 2.7000000000000002e162 < a

   1. Initial program 44.1%

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

   3. Taylor expanded in a around inf 76.5%

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

   4. Taylor expanded in y1 around 0 67.0%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 53.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -5.8 \cdot 10^{+57}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-23}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-198}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-61}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 1.26 \cdot 10^{+44}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{+162}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 28.5% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y3 \leq -3.65 \cdot 10^{+68}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.25 \cdot 10^{-281}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 2.25 \cdot 10^{-215}:\\ \;\;\;\;c \cdot \left(t \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 2 \cdot 10^{-94}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 2.45 \cdot 10^{-33}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 0.065:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 5.2 \cdot 10^{+47}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+124}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 2.15 \cdot 10^{+191}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j)))))
        (t_2 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y3 -3.65e+68)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -2.25e-281)
       t_1
       (if (<= y3 2.25e-215)
         (* c (* t (* y2 (- y4))))
         (if (<= y3 2e-94)
           (* a (* z (- (* y1 y3) (* t b))))
           (if (<= y3 2.45e-33)
             t_2
             (if (<= y3 0.065)
               (* (* x c) (* y (- i)))
               (if (<= y3 5.2e+47)
                 (* c (* x (* y0 y2)))
                 (if (<= y3 9e+124)
                   t_1
                   (if (<= y3 2.15e+191) t_2 (* 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 t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -3.65e+68) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -2.25e-281) {
		tmp = t_1;
	} else if (y3 <= 2.25e-215) {
		tmp = c * (t * (y2 * -y4));
	} else if (y3 <= 2e-94) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else if (y3 <= 2.45e-33) {
		tmp = t_2;
	} else if (y3 <= 0.065) {
		tmp = (x * c) * (y * -i);
	} else if (y3 <= 5.2e+47) {
		tmp = c * (x * (y0 * y2));
	} else if (y3 <= 9e+124) {
		tmp = t_1;
	} else if (y3 <= 2.15e+191) {
		tmp = t_2;
	} 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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y0 * ((z * k) - (x * j)))
    t_2 = a * (y5 * ((t * y2) - (y * y3)))
    if (y3 <= (-3.65d+68)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-2.25d-281)) then
        tmp = t_1
    else if (y3 <= 2.25d-215) then
        tmp = c * (t * (y2 * -y4))
    else if (y3 <= 2d-94) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else if (y3 <= 2.45d-33) then
        tmp = t_2
    else if (y3 <= 0.065d0) then
        tmp = (x * c) * (y * -i)
    else if (y3 <= 5.2d+47) then
        tmp = c * (x * (y0 * y2))
    else if (y3 <= 9d+124) then
        tmp = t_1
    else if (y3 <= 2.15d+191) then
        tmp = t_2
    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 t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -3.65e+68) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -2.25e-281) {
		tmp = t_1;
	} else if (y3 <= 2.25e-215) {
		tmp = c * (t * (y2 * -y4));
	} else if (y3 <= 2e-94) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else if (y3 <= 2.45e-33) {
		tmp = t_2;
	} else if (y3 <= 0.065) {
		tmp = (x * c) * (y * -i);
	} else if (y3 <= 5.2e+47) {
		tmp = c * (x * (y0 * y2));
	} else if (y3 <= 9e+124) {
		tmp = t_1;
	} else if (y3 <= 2.15e+191) {
		tmp = t_2;
	} 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):
	t_1 = b * (y0 * ((z * k) - (x * j)))
	t_2 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y3 <= -3.65e+68:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -2.25e-281:
		tmp = t_1
	elif y3 <= 2.25e-215:
		tmp = c * (t * (y2 * -y4))
	elif y3 <= 2e-94:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	elif y3 <= 2.45e-33:
		tmp = t_2
	elif y3 <= 0.065:
		tmp = (x * c) * (y * -i)
	elif y3 <= 5.2e+47:
		tmp = c * (x * (y0 * y2))
	elif y3 <= 9e+124:
		tmp = t_1
	elif y3 <= 2.15e+191:
		tmp = t_2
	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)
	t_1 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	t_2 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y3 <= -3.65e+68)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -2.25e-281)
		tmp = t_1;
	elseif (y3 <= 2.25e-215)
		tmp = Float64(c * Float64(t * Float64(y2 * Float64(-y4))));
	elseif (y3 <= 2e-94)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (y3 <= 2.45e-33)
		tmp = t_2;
	elseif (y3 <= 0.065)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	elseif (y3 <= 5.2e+47)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y3 <= 9e+124)
		tmp = t_1;
	elseif (y3 <= 2.15e+191)
		tmp = t_2;
	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)
	t_1 = b * (y0 * ((z * k) - (x * j)));
	t_2 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y3 <= -3.65e+68)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -2.25e-281)
		tmp = t_1;
	elseif (y3 <= 2.25e-215)
		tmp = c * (t * (y2 * -y4));
	elseif (y3 <= 2e-94)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	elseif (y3 <= 2.45e-33)
		tmp = t_2;
	elseif (y3 <= 0.065)
		tmp = (x * c) * (y * -i);
	elseif (y3 <= 5.2e+47)
		tmp = c * (x * (y0 * y2));
	elseif (y3 <= 9e+124)
		tmp = t_1;
	elseif (y3 <= 2.15e+191)
		tmp = t_2;
	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_] := Block[{t$95$1 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.65e+68], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.25e-281], t$95$1, If[LessEqual[y3, 2.25e-215], N[(c * N[(t * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2e-94], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.45e-33], t$95$2, If[LessEqual[y3, 0.065], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5.2e+47], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9e+124], t$95$1, If[LessEqual[y3, 2.15e+191], t$95$2, N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -3.65000000000000017e68

   1. Initial program 25.0%

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

   3. Taylor expanded in a around inf 43.2%

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

   4. Taylor expanded in y3 around inf 58.8%

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

      1. *-commutative 58.8%

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

   6. Simplified 58.8%

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

   if -3.65000000000000017e68 < y3 < -2.24999999999999997e-281 or 5.20000000000000007e47 < y3 < 9.0000000000000008e124

   1. Initial program 44.6%

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

   3. Taylor expanded in b around inf 43.3%

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

   4. Taylor expanded in y0 around inf 36.3%

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

   if -2.24999999999999997e-281 < y3 < 2.25e-215

   1. Initial program 47.9%

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

   3. Taylor expanded in c around inf 38.6%

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

   4. Taylor expanded in t around inf 35.3%

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

   5. Taylor expanded in i around 0 31.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 31.5%

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

      2. distribute-rgt-neg-in 31.5%

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

      3. distribute-rgt-neg-in 31.5%

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

      4. distribute-lft-neg-in 31.5%

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

      5. *-commutative 31.5%

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

   7. Simplified 31.5%

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

   if 2.25e-215 < y3 < 1.9999999999999999e-94

   1. Initial program 31.8%

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

   3. Taylor expanded in a around inf 23.6%

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

   4. Taylor expanded in z around inf 28.7%

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

      1. +-commutative 28.7%

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

      2. mul-1-neg 28.7%

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

      3. unsub-neg 28.7%

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

      4. *-commutative 28.7%

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

   6. Simplified 28.7%

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

   if 1.9999999999999999e-94 < y3 < 2.4499999999999999e-33 or 9.0000000000000008e124 < y3 < 2.1499999999999999e191

   1. Initial program 26.2%

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

   3. Taylor expanded in a around inf 37.4%

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

   4. Taylor expanded in y5 around inf 59.8%

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

      1. *-commutative 59.8%

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

   6. Simplified 59.8%

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

   if 2.4499999999999999e-33 < y3 < 0.065000000000000002

   1. Initial program 57.2%

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

   3. Taylor expanded in c around inf 71.2%

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

   4. Taylor expanded in x around inf 43.3%

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

      1. associate-*r* 43.3%

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

      2. +-commutative 43.3%

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

      3. mul-1-neg 43.3%

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

      4. unsub-neg 43.3%

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

      5. *-commutative 43.3%

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

   6. Simplified 43.3%

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

   7. Taylor expanded in y0 around 0 58.0%

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

      1. neg-mul-1 58.0%

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

      2. distribute-rgt-neg-in 58.0%

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

   9. Simplified 58.0%

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

   if 0.065000000000000002 < y3 < 5.20000000000000007e47

   1. Initial program 8.9%

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

   3. Taylor expanded in c around inf 46.3%

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

   4. Taylor expanded in x around inf 55.5%

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

      1. associate-*r* 55.5%

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

      2. +-commutative 55.5%

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

      3. mul-1-neg 55.5%

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

      4. unsub-neg 55.5%

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

      5. *-commutative 55.5%

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

   6. Simplified 55.5%

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

   7. Taylor expanded in y0 around inf 38.0%

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

   if 2.1499999999999999e191 < y3

   1. Initial program 4.2%

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

   3. Taylor expanded in c around inf 45.8%

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

   4. Taylor expanded in y around -inf 67.2%

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

      1. mul-1-neg 67.2%

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

      2. associate-*r* 63.0%

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

      3. *-commutative 63.0%

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

   6. Simplified 63.0%

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

   7. Taylor expanded in x around 0 62.9%

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

4. Final simplification 45.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.65 \cdot 10^{+68}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.25 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.25 \cdot 10^{-215}:\\ \;\;\;\;c \cdot \left(t \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 2 \cdot 10^{-94}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 2.45 \cdot 10^{-33}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 0.065:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 5.2 \cdot 10^{+47}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+124}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.15 \cdot 10^{+191}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 34.2% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ \mathbf{if}\;a \leq -5.6 \cdot 10^{+55}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-20}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-112}:\\ \;\;\;\;\left(y0 \cdot y3\right) \cdot \left(j \cdot y5 - z \cdot c\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+45}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 8.6 \cdot 10^{+114}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(b \cdot \left(y1 \cdot \frac{z \cdot y3 - x \cdot y2}{b}\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1 + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t))))
   (if (<= a -5.6e+55)
     (* a (* b (* t (- (* y2 (/ y5 b)) z))))
     (if (<= a -4.1e-20)
       (* c (* z (- (* t i) (* y0 y3))))
       (if (<= a -4.1e-281)
         (*
          b
          (+
           (+ (* a t_1) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))
         (if (<= a 1.85e-112)
           (* (* y0 y3) (- (* j y5) (* z c)))
           (if (<= a 4.8e+45)
             (* y1 (* y4 (- (* k y2) (* j y3))))
             (if (<= a 8.6e+114)
               (* (* y c) (- (* y3 y4) (* x i)))
               (if (<= a 2.1e+169)
                 (* a (* b (* y1 (/ (- (* z y3) (* x y2)) b))))
                 (* a (+ (* b t_1) (* y5 (- (* t y2) (* y 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 = (x * y) - (z * t);
	double tmp;
	if (a <= -5.6e+55) {
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	} else if (a <= -4.1e-20) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (a <= -4.1e-281) {
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 1.85e-112) {
		tmp = (y0 * y3) * ((j * y5) - (z * c));
	} else if (a <= 4.8e+45) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (a <= 8.6e+114) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (a <= 2.1e+169) {
		tmp = a * (b * (y1 * (((z * y3) - (x * y2)) / b)));
	} else {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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 = (x * y) - (z * t)
    if (a <= (-5.6d+55)) then
        tmp = a * (b * (t * ((y2 * (y5 / b)) - z)))
    else if (a <= (-4.1d-20)) then
        tmp = c * (z * ((t * i) - (y0 * y3)))
    else if (a <= (-4.1d-281)) then
        tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else if (a <= 1.85d-112) then
        tmp = (y0 * y3) * ((j * y5) - (z * c))
    else if (a <= 4.8d+45) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (a <= 8.6d+114) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (a <= 2.1d+169) then
        tmp = a * (b * (y1 * (((z * y3) - (x * y2)) / b)))
    else
        tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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 = (x * y) - (z * t);
	double tmp;
	if (a <= -5.6e+55) {
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	} else if (a <= -4.1e-20) {
		tmp = c * (z * ((t * i) - (y0 * y3)));
	} else if (a <= -4.1e-281) {
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 1.85e-112) {
		tmp = (y0 * y3) * ((j * y5) - (z * c));
	} else if (a <= 4.8e+45) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (a <= 8.6e+114) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (a <= 2.1e+169) {
		tmp = a * (b * (y1 * (((z * y3) - (x * y2)) / b)));
	} else {
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * y3))));
	}
	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 a <= -5.6e+55:
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)))
	elif a <= -4.1e-20:
		tmp = c * (z * ((t * i) - (y0 * y3)))
	elif a <= -4.1e-281:
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	elif a <= 1.85e-112:
		tmp = (y0 * y3) * ((j * y5) - (z * c))
	elif a <= 4.8e+45:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif a <= 8.6e+114:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif a <= 2.1e+169:
		tmp = a * (b * (y1 * (((z * y3) - (x * y2)) / b)))
	else:
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (a <= -5.6e+55)
		tmp = Float64(a * Float64(b * Float64(t * Float64(Float64(y2 * Float64(y5 / b)) - z))));
	elseif (a <= -4.1e-20)
		tmp = Float64(c * Float64(z * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (a <= -4.1e-281)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (a <= 1.85e-112)
		tmp = Float64(Float64(y0 * y3) * Float64(Float64(j * y5) - Float64(z * c)));
	elseif (a <= 4.8e+45)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (a <= 8.6e+114)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (a <= 2.1e+169)
		tmp = Float64(a * Float64(b * Float64(y1 * Float64(Float64(Float64(z * y3) - Float64(x * y2)) / b))));
	else
		tmp = Float64(a * Float64(Float64(b * t_1) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * 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 = (x * y) - (z * t);
	tmp = 0.0;
	if (a <= -5.6e+55)
		tmp = a * (b * (t * ((y2 * (y5 / b)) - z)));
	elseif (a <= -4.1e-20)
		tmp = c * (z * ((t * i) - (y0 * y3)));
	elseif (a <= -4.1e-281)
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	elseif (a <= 1.85e-112)
		tmp = (y0 * y3) * ((j * y5) - (z * c));
	elseif (a <= 4.8e+45)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (a <= 8.6e+114)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (a <= 2.1e+169)
		tmp = a * (b * (y1 * (((z * y3) - (x * y2)) / b)));
	else
		tmp = a * ((b * t_1) + (y5 * ((t * y2) - (y * 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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -5.6e+55], N[(a * N[(b * N[(t * N[(N[(y2 * N[(y5 / b), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.1e-20], N[(c * N[(z * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.1e-281], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.85e-112], N[(N[(y0 * y3), $MachinePrecision] * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.8e+45], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8.6e+114], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.1e+169], N[(a * N[(b * N[(y1 * N[(N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision] / b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(b * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if a < -5.6000000000000002e55

   1. Initial program 26.8%

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

   3. Taylor expanded in a around inf 40.0%

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

   4. Taylor expanded in b around inf 36.3%

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

      1. +-commutative 36.3%

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

      2. mul-1-neg 36.3%

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

      3. unsub-neg 36.3%

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

      4. *-commutative 36.3%

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

      5. associate-/l* 39.7%

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

      6. +-commutative 39.7%

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

      7. mul-1-neg 39.7%

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

      8. unsub-neg 39.7%

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

      9. *-commutative 39.7%

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

      10. associate-/l* 41.5%

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

      11. *-commutative 41.5%

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

   6. Simplified 41.5%

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

   7. Taylor expanded in t around inf 47.4%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(\frac{y2 \cdot y5}{b} - z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. associate-/l* 51.0%

         \[\leadsto a \cdot \left(b \cdot \left(t \cdot \left(\color{blue}{y2 \cdot \frac{y5}{b}} - z\right)\right)\right) \]

   9. Simplified 51.0%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)}\right) \]

   if -5.6000000000000002e55 < a < -4.1000000000000001e-20

   1. Initial program 12.5%

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

   3. Taylor expanded in c around inf 68.8%

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

   4. Taylor expanded in z around inf 69.5%

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

   if -4.1000000000000001e-20 < a < -4.0999999999999999e-281

   1. Initial program 38.7%

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

   3. Taylor expanded in b around inf 56.9%

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

   if -4.0999999999999999e-281 < a < 1.8499999999999999e-112

   1. Initial program 38.4%

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

   3. Taylor expanded in y3 around -inf 45.0%

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

   4. Taylor expanded in y0 around inf 50.0%

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

      1. associate-*r* 44.7%

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

      2. *-commutative 44.7%

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

      3. +-commutative 44.7%

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

      4. mul-1-neg 44.7%

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

      5. unsub-neg 44.7%

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

      6. *-commutative 44.7%

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

      7. *-commutative 44.7%

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

   6. Simplified 44.7%

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

   if 1.8499999999999999e-112 < a < 4.79999999999999979e45

   1. Initial program 20.9%

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

   3. Taylor expanded in y4 around inf 29.9%

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

   4. Taylor expanded in y1 around inf 42.2%

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

   if 4.79999999999999979e45 < a < 8.6000000000000001e114

   1. Initial program 39.9%

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

   3. Taylor expanded in c around inf 54.5%

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

   4. Taylor expanded in y around -inf 41.7%

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

      1. mul-1-neg 41.7%

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

      2. associate-*r* 41.8%

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

      3. *-commutative 41.8%

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

   6. Simplified 41.8%

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

   if 8.6000000000000001e114 < a < 2.1000000000000001e169

   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. Add Preprocessing

   3. Taylor expanded in a around inf 37.5%

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

   4. Taylor expanded in b around inf 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

      4. *-commutative 50.0%

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

      5. associate-/l* 50.0%

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

      6. +-commutative 50.0%

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

      7. mul-1-neg 50.0%

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

      8. unsub-neg 50.0%

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

      9. *-commutative 50.0%

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

      10. associate-/l* 50.0%

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

      11. *-commutative 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in y1 around -inf 62.6%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(-1 \cdot \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 62.6%

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

      2. cancel-sign-sub-inv 62.6%

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

      3. fma-undefine 62.6%

         \[\leadsto a \cdot \left(b \cdot \left(-\frac{y1 \cdot \color{blue}{\mathsf{fma}\left(x, y2, \left(-y3\right) \cdot z\right)}}{b}\right)\right) \]

      4. associate-/l* 62.5%

         \[\leadsto a \cdot \left(b \cdot \left(-\color{blue}{y1 \cdot \frac{\mathsf{fma}\left(x, y2, \left(-y3\right) \cdot z\right)}{b}}\right)\right) \]

      5. distribute-rgt-neg-in 62.5%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y1 \cdot \left(-\frac{\mathsf{fma}\left(x, y2, \left(-y3\right) \cdot z\right)}{b}\right)\right)}\right) \]

      6. distribute-neg-frac2 62.5%

         \[\leadsto a \cdot \left(b \cdot \left(y1 \cdot \color{blue}{\frac{\mathsf{fma}\left(x, y2, \left(-y3\right) \cdot z\right)}{-b}}\right)\right) \]

      7. fma-undefine 62.5%

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

      8. cancel-sign-sub-inv 62.5%

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

   9. Simplified 62.5%

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

   if 2.1000000000000001e169 < a

   1. Initial program 45.5%

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

   3. Taylor expanded in a around inf 75.8%

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

   4. Taylor expanded in y1 around 0 68.8%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 53.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -5.6 \cdot 10^{+55}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-20}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-112}:\\ \;\;\;\;\left(y0 \cdot y3\right) \cdot \left(j \cdot y5 - z \cdot c\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+45}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 8.6 \cdot 10^{+114}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{+169}:\\ \;\;\;\;a \cdot \left(b \cdot \left(y1 \cdot \frac{z \cdot y3 - x \cdot y2}{b}\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 22.0% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ t_2 := c \cdot \left(t \cdot \left(z \cdot i\right)\right)\\ \mathbf{if}\;y3 \leq -1 \cdot 10^{+58}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -85000000000000:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{elif}\;y3 \leq -1.1 \cdot 10^{-64}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq -3.3 \cdot 10^{-127}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -2.9 \cdot 10^{-161}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y1 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.4 \cdot 10^{-259}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{-285}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 6.8 \cdot 10^{-115}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 5.3 \cdot 10^{+102}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (* t y4)))) (t_2 (* c (* t (* z i)))))
   (if (<= y3 -1e+58)
     (* a (* y1 (* z y3)))
     (if (<= y3 -85000000000000.0)
       (* (* x c) (* y0 y2))
       (if (<= y3 -1.1e-64)
         (* a (* (* x y) b))
         (if (<= y3 -3.3e-127)
           t_2
           (if (<= y3 -2.9e-161)
             (* a (* x (* y1 (- y2))))
             (if (<= y3 -4.4e-259)
               t_1
               (if (<= y3 1.7e-285)
                 t_2
                 (if (<= y3 6.8e-115)
                   t_1
                   (if (<= y3 5.3e+102)
                     (* (* x c) (* y (- i)))
                     (* c (* y4 (* y y3))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * (t * y4));
	double t_2 = c * (t * (z * i));
	double tmp;
	if (y3 <= -1e+58) {
		tmp = a * (y1 * (z * y3));
	} else if (y3 <= -85000000000000.0) {
		tmp = (x * c) * (y0 * y2);
	} else if (y3 <= -1.1e-64) {
		tmp = a * ((x * y) * b);
	} else if (y3 <= -3.3e-127) {
		tmp = t_2;
	} else if (y3 <= -2.9e-161) {
		tmp = a * (x * (y1 * -y2));
	} else if (y3 <= -4.4e-259) {
		tmp = t_1;
	} else if (y3 <= 1.7e-285) {
		tmp = t_2;
	} else if (y3 <= 6.8e-115) {
		tmp = t_1;
	} else if (y3 <= 5.3e+102) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * 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) :: t_2
    real(8) :: tmp
    t_1 = b * (j * (t * y4))
    t_2 = c * (t * (z * i))
    if (y3 <= (-1d+58)) then
        tmp = a * (y1 * (z * y3))
    else if (y3 <= (-85000000000000.0d0)) then
        tmp = (x * c) * (y0 * y2)
    else if (y3 <= (-1.1d-64)) then
        tmp = a * ((x * y) * b)
    else if (y3 <= (-3.3d-127)) then
        tmp = t_2
    else if (y3 <= (-2.9d-161)) then
        tmp = a * (x * (y1 * -y2))
    else if (y3 <= (-4.4d-259)) then
        tmp = t_1
    else if (y3 <= 1.7d-285) then
        tmp = t_2
    else if (y3 <= 6.8d-115) then
        tmp = t_1
    else if (y3 <= 5.3d+102) then
        tmp = (x * c) * (y * -i)
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * (t * y4));
	double t_2 = c * (t * (z * i));
	double tmp;
	if (y3 <= -1e+58) {
		tmp = a * (y1 * (z * y3));
	} else if (y3 <= -85000000000000.0) {
		tmp = (x * c) * (y0 * y2);
	} else if (y3 <= -1.1e-64) {
		tmp = a * ((x * y) * b);
	} else if (y3 <= -3.3e-127) {
		tmp = t_2;
	} else if (y3 <= -2.9e-161) {
		tmp = a * (x * (y1 * -y2));
	} else if (y3 <= -4.4e-259) {
		tmp = t_1;
	} else if (y3 <= 1.7e-285) {
		tmp = t_2;
	} else if (y3 <= 6.8e-115) {
		tmp = t_1;
	} else if (y3 <= 5.3e+102) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * (t * y4))
	t_2 = c * (t * (z * i))
	tmp = 0
	if y3 <= -1e+58:
		tmp = a * (y1 * (z * y3))
	elif y3 <= -85000000000000.0:
		tmp = (x * c) * (y0 * y2)
	elif y3 <= -1.1e-64:
		tmp = a * ((x * y) * b)
	elif y3 <= -3.3e-127:
		tmp = t_2
	elif y3 <= -2.9e-161:
		tmp = a * (x * (y1 * -y2))
	elif y3 <= -4.4e-259:
		tmp = t_1
	elif y3 <= 1.7e-285:
		tmp = t_2
	elif y3 <= 6.8e-115:
		tmp = t_1
	elif y3 <= 5.3e+102:
		tmp = (x * c) * (y * -i)
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(t * y4)))
	t_2 = Float64(c * Float64(t * Float64(z * i)))
	tmp = 0.0
	if (y3 <= -1e+58)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y3 <= -85000000000000.0)
		tmp = Float64(Float64(x * c) * Float64(y0 * y2));
	elseif (y3 <= -1.1e-64)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y3 <= -3.3e-127)
		tmp = t_2;
	elseif (y3 <= -2.9e-161)
		tmp = Float64(a * Float64(x * Float64(y1 * Float64(-y2))));
	elseif (y3 <= -4.4e-259)
		tmp = t_1;
	elseif (y3 <= 1.7e-285)
		tmp = t_2;
	elseif (y3 <= 6.8e-115)
		tmp = t_1;
	elseif (y3 <= 5.3e+102)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * (t * y4));
	t_2 = c * (t * (z * i));
	tmp = 0.0;
	if (y3 <= -1e+58)
		tmp = a * (y1 * (z * y3));
	elseif (y3 <= -85000000000000.0)
		tmp = (x * c) * (y0 * y2);
	elseif (y3 <= -1.1e-64)
		tmp = a * ((x * y) * b);
	elseif (y3 <= -3.3e-127)
		tmp = t_2;
	elseif (y3 <= -2.9e-161)
		tmp = a * (x * (y1 * -y2));
	elseif (y3 <= -4.4e-259)
		tmp = t_1;
	elseif (y3 <= 1.7e-285)
		tmp = t_2;
	elseif (y3 <= 6.8e-115)
		tmp = t_1;
	elseif (y3 <= 5.3e+102)
		tmp = (x * c) * (y * -i);
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(t * N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1e+58], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -85000000000000.0], N[(N[(x * c), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.1e-64], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.3e-127], t$95$2, If[LessEqual[y3, -2.9e-161], N[(a * N[(x * N[(y1 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4.4e-259], t$95$1, If[LessEqual[y3, 1.7e-285], t$95$2, If[LessEqual[y3, 6.8e-115], t$95$1, If[LessEqual[y3, 5.3e+102], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -9.99999999999999944e57

   1. Initial program 24.5%

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

   3. Taylor expanded in a around inf 42.4%

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

   4. Taylor expanded in z around inf 51.8%

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

      1. +-commutative 51.8%

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

      2. mul-1-neg 51.8%

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

      3. unsub-neg 51.8%

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

      4. *-commutative 51.8%

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

   6. Simplified 51.8%

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

   7. Taylor expanded in y3 around inf 50.0%

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

      1. *-commutative 50.0%

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

      2. *-commutative 50.0%

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

   9. Simplified 50.0%

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

   if -9.99999999999999944e57 < y3 < -8.5e13

   1. Initial program 51.2%

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

   3. Taylor expanded in c around inf 58.4%

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

   4. Taylor expanded in x around inf 37.9%

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

      1. associate-*r* 44.6%

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

      2. +-commutative 44.6%

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

      3. mul-1-neg 44.6%

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

      4. unsub-neg 44.6%

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

      5. *-commutative 44.6%

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

   6. Simplified 44.6%

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

   7. Taylor expanded in y0 around inf 37.6%

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

   if -8.5e13 < y3 < -1.1e-64

   1. Initial program 45.5%

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

   3. Taylor expanded in a around inf 46.7%

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

   4. Taylor expanded in x around inf 37.4%

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

      1. +-commutative 37.4%

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

      2. mul-1-neg 37.4%

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

      3. unsub-neg 37.4%

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

      4. *-commutative 37.4%

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

   6. Simplified 37.4%

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

   7. Taylor expanded in y around inf 28.6%

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

   if -1.1e-64 < y3 < -3.29999999999999981e-127 or -4.40000000000000019e-259 < y3 < 1.7e-285

   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. Add Preprocessing

   3. Taylor expanded in c around inf 37.0%

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

   4. Taylor expanded in t around inf 43.6%

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

   5. Taylor expanded in i around inf 37.3%

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

      1. *-commutative 37.3%

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

   7. Simplified 37.3%

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

   if -3.29999999999999981e-127 < y3 < -2.9e-161

   1. Initial program 25.6%

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

   3. Taylor expanded in a around inf 38.5%

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

   4. Taylor expanded in x around inf 16.0%

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

      1. +-commutative 16.0%

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

      2. mul-1-neg 16.0%

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

      3. unsub-neg 16.0%

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

      4. *-commutative 16.0%

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

   6. Simplified 16.0%

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

   7. Taylor expanded in y around 0 27.8%

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

      1. associate-*r* 27.8%

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

      2. mul-1-neg 27.8%

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

   9. Simplified 27.8%

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

   if -2.9e-161 < y3 < -4.40000000000000019e-259 or 1.7e-285 < y3 < 6.7999999999999996e-115

   1. Initial program 42.3%

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

   3. Taylor expanded in y4 around inf 46.9%

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

   4. Taylor expanded in j around inf 39.5%

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

      1. associate-*r* 31.7%

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

      2. *-commutative 31.7%

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

      3. +-commutative 31.7%

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

      4. mul-1-neg 31.7%

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

      5. unsub-neg 31.7%

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

      6. *-commutative 31.7%

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

   6. Simplified 31.7%

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

   7. Taylor expanded in b around inf 35.4%

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

   if 6.7999999999999996e-115 < y3 < 5.2999999999999997e102

   1. Initial program 29.3%

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

   3. Taylor expanded in c around inf 42.3%

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

   4. Taylor expanded in x around inf 38.4%

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

      1. associate-*r* 38.4%

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

      2. +-commutative 38.4%

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

      3. mul-1-neg 38.4%

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

      4. unsub-neg 38.4%

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

      5. *-commutative 38.4%

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

   6. Simplified 38.4%

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

   7. Taylor expanded in y0 around 0 30.4%

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

      1. neg-mul-1 30.4%

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

      2. distribute-rgt-neg-in 30.4%

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

   9. Simplified 30.4%

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

   if 5.2999999999999997e102 < y3

   1. Initial program 15.4%

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

   3. Taylor expanded in c around inf 41.2%

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

   4. Taylor expanded in y around -inf 54.5%

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

      1. mul-1-neg 54.5%

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

      2. associate-*r* 47.4%

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

      3. *-commutative 47.4%

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

   6. Simplified 47.4%

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

   7. Taylor expanded in x around 0 54.5%

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

      1. mul-1-neg 54.5%

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

      2. distribute-rgt-neg-in 54.5%

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

      3. associate-*r* 56.9%

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

      4. *-commutative 56.9%

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

   9. Simplified 56.9%

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

4. Final simplification 40.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1 \cdot 10^{+58}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -85000000000000:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{elif}\;y3 \leq -1.1 \cdot 10^{-64}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y3 \leq -3.3 \cdot 10^{-127}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -2.9 \cdot 10^{-161}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y1 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.4 \cdot 10^{-259}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{-285}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 6.8 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 5.3 \cdot 10^{+102}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 29.6% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_2 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y3 \leq -1.35 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1320000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -6.7 \cdot 10^{-79}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -2.7 \cdot 10^{-239}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 6.6 \cdot 10^{-98}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 4.9 \cdot 10^{-35}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 0.021:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 4.1 \cdot 10^{+112}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k)))))
        (t_2 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y3 -1.35e+56)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -1320000.0)
       t_1
       (if (<= y3 -6.7e-79)
         t_2
         (if (<= y3 -2.7e-239)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y3 6.6e-98)
             t_1
             (if (<= y3 4.9e-35)
               t_2
               (if (<= y3 0.021)
                 (* (* x c) (* y (- i)))
                 (if (<= y3 4.1e+112)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (* c (* y4 (* y y3)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -1.35e+56) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1320000.0) {
		tmp = t_1;
	} else if (y3 <= -6.7e-79) {
		tmp = t_2;
	} else if (y3 <= -2.7e-239) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 6.6e-98) {
		tmp = t_1;
	} else if (y3 <= 4.9e-35) {
		tmp = t_2;
	} else if (y3 <= 0.021) {
		tmp = (x * c) * (y * -i);
	} else if (y3 <= 4.1e+112) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = c * (y4 * (y * 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) :: t_2
    real(8) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    t_2 = a * (y5 * ((t * y2) - (y * y3)))
    if (y3 <= (-1.35d+56)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-1320000.0d0)) then
        tmp = t_1
    else if (y3 <= (-6.7d-79)) then
        tmp = t_2
    else if (y3 <= (-2.7d-239)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= 6.6d-98) then
        tmp = t_1
    else if (y3 <= 4.9d-35) then
        tmp = t_2
    else if (y3 <= 0.021d0) then
        tmp = (x * c) * (y * -i)
    else if (y3 <= 4.1d+112) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -1.35e+56) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1320000.0) {
		tmp = t_1;
	} else if (y3 <= -6.7e-79) {
		tmp = t_2;
	} else if (y3 <= -2.7e-239) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 6.6e-98) {
		tmp = t_1;
	} else if (y3 <= 4.9e-35) {
		tmp = t_2;
	} else if (y3 <= 0.021) {
		tmp = (x * c) * (y * -i);
	} else if (y3 <= 4.1e+112) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	t_2 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y3 <= -1.35e+56:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -1320000.0:
		tmp = t_1
	elif y3 <= -6.7e-79:
		tmp = t_2
	elif y3 <= -2.7e-239:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= 6.6e-98:
		tmp = t_1
	elif y3 <= 4.9e-35:
		tmp = t_2
	elif y3 <= 0.021:
		tmp = (x * c) * (y * -i)
	elif y3 <= 4.1e+112:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	t_2 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y3 <= -1.35e+56)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -1320000.0)
		tmp = t_1;
	elseif (y3 <= -6.7e-79)
		tmp = t_2;
	elseif (y3 <= -2.7e-239)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= 6.6e-98)
		tmp = t_1;
	elseif (y3 <= 4.9e-35)
		tmp = t_2;
	elseif (y3 <= 0.021)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	elseif (y3 <= 4.1e+112)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	t_2 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y3 <= -1.35e+56)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -1320000.0)
		tmp = t_1;
	elseif (y3 <= -6.7e-79)
		tmp = t_2;
	elseif (y3 <= -2.7e-239)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= 6.6e-98)
		tmp = t_1;
	elseif (y3 <= 4.9e-35)
		tmp = t_2;
	elseif (y3 <= 0.021)
		tmp = (x * c) * (y * -i);
	elseif (y3 <= 4.1e+112)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.35e+56], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1320000.0], t$95$1, If[LessEqual[y3, -6.7e-79], t$95$2, If[LessEqual[y3, -2.7e-239], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 6.6e-98], t$95$1, If[LessEqual[y3, 4.9e-35], t$95$2, If[LessEqual[y3, 0.021], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.1e+112], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.35000000000000005e56

   1. Initial program 24.5%

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

   3. Taylor expanded in a around inf 42.4%

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

   4. Taylor expanded in y3 around inf 57.8%

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

      1. *-commutative 57.8%

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

   6. Simplified 57.8%

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

   if -1.35000000000000005e56 < y3 < -1.32e6 or -2.7000000000000001e-239 < y3 < 6.6000000000000002e-98

   1. Initial program 41.9%

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

   3. Taylor expanded in b around inf 42.7%

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

   4. Taylor expanded in y4 around inf 37.8%

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

      1. *-commutative 37.8%

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

   6. Simplified 37.8%

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

   if -1.32e6 < y3 < -6.70000000000000017e-79 or 6.6000000000000002e-98 < y3 < 4.9000000000000005e-35

   1. Initial program 37.3%

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

   3. Taylor expanded in a around inf 34.2%

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

   4. Taylor expanded in y5 around inf 52.7%

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

      1. *-commutative 52.7%

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

   6. Simplified 52.7%

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

   if -6.70000000000000017e-79 < y3 < -2.7000000000000001e-239

   1. Initial program 43.7%

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

   3. Taylor expanded in b around inf 50.8%

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

   4. Taylor expanded in y0 around inf 44.7%

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

   if 4.9000000000000005e-35 < y3 < 0.0210000000000000013

   1. Initial program 57.2%

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

   3. Taylor expanded in c around inf 71.2%

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

   4. Taylor expanded in x around inf 43.3%

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

      1. associate-*r* 43.3%

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

      2. +-commutative 43.3%

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

      3. mul-1-neg 43.3%

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

      4. unsub-neg 43.3%

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

      5. *-commutative 43.3%

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

   6. Simplified 43.3%

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

   7. Taylor expanded in y0 around 0 58.0%

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

      1. neg-mul-1 58.0%

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

      2. distribute-rgt-neg-in 58.0%

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

   9. Simplified 58.0%

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

   if 0.0210000000000000013 < y3 < 4.09999999999999976e112

   1. Initial program 23.7%

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

   3. Taylor expanded in c around inf 34.0%

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

   4. Taylor expanded in y0 around inf 49.0%

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

   if 4.09999999999999976e112 < y3

   1. Initial program 15.4%

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

   3. Taylor expanded in c around inf 41.2%

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

   4. Taylor expanded in y around -inf 54.5%

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

      1. mul-1-neg 54.5%

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

      2. associate-*r* 47.4%

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

      3. *-commutative 47.4%

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

   6. Simplified 47.4%

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

   7. Taylor expanded in x around 0 54.5%

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

      1. mul-1-neg 54.5%

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

      2. distribute-rgt-neg-in 54.5%

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

      3. associate-*r* 56.9%

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

      4. *-commutative 56.9%

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

   9. Simplified 56.9%

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

4. Final simplification 48.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.35 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1320000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -6.7 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -2.7 \cdot 10^{-239}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 6.6 \cdot 10^{-98}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 4.9 \cdot 10^{-35}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 0.021:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 4.1 \cdot 10^{+112}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 30.6% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ t_2 := a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{if}\;y3 \leq -2.6 \cdot 10^{+56}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{+14}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -1.9 \cdot 10^{-97}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.3 \cdot 10^{-282}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 1.8 \cdot 10^{-48}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.5 \cdot 10^{+71}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 6.2 \cdot 10^{+137}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 3.45 \cdot 10^{+154}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* x c) (- (* y0 y2) (* y i))))
        (t_2 (* a (* y3 (- (* z y1) (* y y5))))))
   (if (<= y3 -2.6e+56)
     t_2
     (if (<= y3 -3e+14)
       t_1
       (if (<= y3 -1.9e-97)
         (* a (* y5 (- (* t y2) (* y y3))))
         (if (<= y3 -3.3e-282)
           (* b (* y4 (- (* t j) (* y k))))
           (if (<= y3 1.8e-48)
             (* t (* y4 (- (* b j) (* c y2))))
             (if (<= y3 1.5e+71)
               t_1
               (if (<= y3 6.2e+137)
                 (* y1 (* y4 (- (* k y2) (* j y3))))
                 (if (<= y3 3.45e+154) t_2 (* c (* y4 (* y 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -2.6e+56) {
		tmp = t_2;
	} else if (y3 <= -3e+14) {
		tmp = t_1;
	} else if (y3 <= -1.9e-97) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -3.3e-282) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y3 <= 1.8e-48) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.5e+71) {
		tmp = t_1;
	} else if (y3 <= 6.2e+137) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 3.45e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * 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) :: t_2
    real(8) :: tmp
    t_1 = (x * c) * ((y0 * y2) - (y * i))
    t_2 = a * (y3 * ((z * y1) - (y * y5)))
    if (y3 <= (-2.6d+56)) then
        tmp = t_2
    else if (y3 <= (-3d+14)) then
        tmp = t_1
    else if (y3 <= (-1.9d-97)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-3.3d-282)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y3 <= 1.8d-48) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 1.5d+71) then
        tmp = t_1
    else if (y3 <= 6.2d+137) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (y3 <= 3.45d+154) then
        tmp = t_2
    else
        tmp = c * (y4 * (y * 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -2.6e+56) {
		tmp = t_2;
	} else if (y3 <= -3e+14) {
		tmp = t_1;
	} else if (y3 <= -1.9e-97) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -3.3e-282) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y3 <= 1.8e-48) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.5e+71) {
		tmp = t_1;
	} else if (y3 <= 6.2e+137) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (y3 <= 3.45e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * c) * ((y0 * y2) - (y * i))
	t_2 = a * (y3 * ((z * y1) - (y * y5)))
	tmp = 0
	if y3 <= -2.6e+56:
		tmp = t_2
	elif y3 <= -3e+14:
		tmp = t_1
	elif y3 <= -1.9e-97:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -3.3e-282:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y3 <= 1.8e-48:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 1.5e+71:
		tmp = t_1
	elif y3 <= 6.2e+137:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif y3 <= 3.45e+154:
		tmp = t_2
	else:
		tmp = c * (y4 * (y * 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(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)))
	t_2 = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))))
	tmp = 0.0
	if (y3 <= -2.6e+56)
		tmp = t_2;
	elseif (y3 <= -3e+14)
		tmp = t_1;
	elseif (y3 <= -1.9e-97)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -3.3e-282)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y3 <= 1.8e-48)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 1.5e+71)
		tmp = t_1;
	elseif (y3 <= 6.2e+137)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y3 <= 3.45e+154)
		tmp = t_2;
	else
		tmp = Float64(c * Float64(y4 * Float64(y * 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 = (x * c) * ((y0 * y2) - (y * i));
	t_2 = a * (y3 * ((z * y1) - (y * y5)));
	tmp = 0.0;
	if (y3 <= -2.6e+56)
		tmp = t_2;
	elseif (y3 <= -3e+14)
		tmp = t_1;
	elseif (y3 <= -1.9e-97)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -3.3e-282)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y3 <= 1.8e-48)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 1.5e+71)
		tmp = t_1;
	elseif (y3 <= 6.2e+137)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (y3 <= 3.45e+154)
		tmp = t_2;
	else
		tmp = c * (y4 * (y * 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[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.6e+56], t$95$2, If[LessEqual[y3, -3e+14], t$95$1, If[LessEqual[y3, -1.9e-97], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.3e-282], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.8e-48], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.5e+71], t$95$1, If[LessEqual[y3, 6.2e+137], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.45e+154], t$95$2, N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -2.60000000000000011e56 or 6.1999999999999999e137 < y3 < 3.45e154

   1. Initial program 25.0%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y3 around inf 60.1%

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

      1. *-commutative 60.1%

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

   6. Simplified 60.1%

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

   if -2.60000000000000011e56 < y3 < -3e14 or 1.8000000000000001e-48 < y3 < 1.50000000000000006e71

   1. Initial program 37.2%

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

   3. Taylor expanded in c around inf 56.0%

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

   4. Taylor expanded in x around inf 46.0%

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

      1. associate-*r* 48.5%

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

      2. +-commutative 48.5%

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

      3. mul-1-neg 48.5%

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

      4. unsub-neg 48.5%

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

      5. *-commutative 48.5%

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

   6. Simplified 48.5%

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

   if -3e14 < y3 < -1.9e-97

   1. Initial program 47.1%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y5 around inf 42.2%

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

      1. *-commutative 42.2%

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

   6. Simplified 42.2%

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

   if -1.9e-97 < y3 < -3.3e-282

   1. Initial program 42.4%

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

   3. Taylor expanded in b around inf 49.7%

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

   4. Taylor expanded in y4 around inf 38.1%

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

      1. *-commutative 38.1%

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

   6. Simplified 38.1%

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

   if -3.3e-282 < y3 < 1.8000000000000001e-48

   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. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.4%

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

   4. Taylor expanded in t around inf 43.0%

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

   if 1.50000000000000006e71 < y3 < 6.1999999999999999e137

   1. Initial program 44.4%

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

   3. Taylor expanded in y4 around inf 55.8%

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

   4. Taylor expanded in y1 around inf 66.9%

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

   if 3.45e154 < y3

   1. Initial program 12.1%

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

   3. Taylor expanded in c around inf 45.6%

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

   4. Taylor expanded in y around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

      2. associate-*r* 52.5%

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

      3. *-commutative 52.5%

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

   6. Simplified 52.5%

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

   7. Taylor expanded in x around 0 55.1%

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

      1. mul-1-neg 55.1%

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

      2. distribute-rgt-neg-in 55.1%

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

      3. associate-*r* 58.0%

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

      4. *-commutative 58.0%

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

   9. Simplified 58.0%

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

4. Final simplification 49.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.6 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -1.9 \cdot 10^{-97}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.3 \cdot 10^{-282}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 1.8 \cdot 10^{-48}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.5 \cdot 10^{+71}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq 6.2 \cdot 10^{+137}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 3.45 \cdot 10^{+154}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 30.3% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ t_2 := a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{if}\;y3 \leq -1.3 \cdot 10^{+57}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{+14}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{-97}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 3.6 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{+66}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{+141}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 4.2 \cdot 10^{+154}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* x c) (- (* y0 y2) (* y i))))
        (t_2 (* a (* y3 (- (* z y1) (* y y5))))))
   (if (<= y3 -1.3e+57)
     t_2
     (if (<= y3 -3e+14)
       t_1
       (if (<= y3 -2.6e-97)
         (* a (* y5 (- (* t y2) (* y y3))))
         (if (<= y3 -1.25e-281)
           (* b (* y4 (- (* t j) (* y k))))
           (if (<= y3 3.6e-46)
             (* t (* y4 (- (* b j) (* c y2))))
             (if (<= y3 1.1e+66)
               t_1
               (if (<= y3 9.5e+141)
                 (* (- (* k y2) (* j y3)) (* y1 y4))
                 (if (<= y3 4.2e+154) t_2 (* c (* y4 (* y 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -1.3e+57) {
		tmp = t_2;
	} else if (y3 <= -3e+14) {
		tmp = t_1;
	} else if (y3 <= -2.6e-97) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -1.25e-281) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y3 <= 3.6e-46) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.1e+66) {
		tmp = t_1;
	} else if (y3 <= 9.5e+141) {
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	} else if (y3 <= 4.2e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * 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) :: t_2
    real(8) :: tmp
    t_1 = (x * c) * ((y0 * y2) - (y * i))
    t_2 = a * (y3 * ((z * y1) - (y * y5)))
    if (y3 <= (-1.3d+57)) then
        tmp = t_2
    else if (y3 <= (-3d+14)) then
        tmp = t_1
    else if (y3 <= (-2.6d-97)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-1.25d-281)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y3 <= 3.6d-46) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 1.1d+66) then
        tmp = t_1
    else if (y3 <= 9.5d+141) then
        tmp = ((k * y2) - (j * y3)) * (y1 * y4)
    else if (y3 <= 4.2d+154) then
        tmp = t_2
    else
        tmp = c * (y4 * (y * 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -1.3e+57) {
		tmp = t_2;
	} else if (y3 <= -3e+14) {
		tmp = t_1;
	} else if (y3 <= -2.6e-97) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -1.25e-281) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y3 <= 3.6e-46) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.1e+66) {
		tmp = t_1;
	} else if (y3 <= 9.5e+141) {
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	} else if (y3 <= 4.2e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * c) * ((y0 * y2) - (y * i))
	t_2 = a * (y3 * ((z * y1) - (y * y5)))
	tmp = 0
	if y3 <= -1.3e+57:
		tmp = t_2
	elif y3 <= -3e+14:
		tmp = t_1
	elif y3 <= -2.6e-97:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -1.25e-281:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y3 <= 3.6e-46:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 1.1e+66:
		tmp = t_1
	elif y3 <= 9.5e+141:
		tmp = ((k * y2) - (j * y3)) * (y1 * y4)
	elif y3 <= 4.2e+154:
		tmp = t_2
	else:
		tmp = c * (y4 * (y * 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(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)))
	t_2 = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))))
	tmp = 0.0
	if (y3 <= -1.3e+57)
		tmp = t_2;
	elseif (y3 <= -3e+14)
		tmp = t_1;
	elseif (y3 <= -2.6e-97)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -1.25e-281)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y3 <= 3.6e-46)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 1.1e+66)
		tmp = t_1;
	elseif (y3 <= 9.5e+141)
		tmp = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(y1 * y4));
	elseif (y3 <= 4.2e+154)
		tmp = t_2;
	else
		tmp = Float64(c * Float64(y4 * Float64(y * 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 = (x * c) * ((y0 * y2) - (y * i));
	t_2 = a * (y3 * ((z * y1) - (y * y5)));
	tmp = 0.0;
	if (y3 <= -1.3e+57)
		tmp = t_2;
	elseif (y3 <= -3e+14)
		tmp = t_1;
	elseif (y3 <= -2.6e-97)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -1.25e-281)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y3 <= 3.6e-46)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 1.1e+66)
		tmp = t_1;
	elseif (y3 <= 9.5e+141)
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	elseif (y3 <= 4.2e+154)
		tmp = t_2;
	else
		tmp = c * (y4 * (y * 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[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.3e+57], t$95$2, If[LessEqual[y3, -3e+14], t$95$1, If[LessEqual[y3, -2.6e-97], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.25e-281], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.6e-46], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.1e+66], t$95$1, If[LessEqual[y3, 9.5e+141], N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.2e+154], t$95$2, N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.3e57 or 9.49999999999999974e141 < y3 < 4.19999999999999989e154

   1. Initial program 25.0%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y3 around inf 60.1%

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

      1. *-commutative 60.1%

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

   6. Simplified 60.1%

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

   if -1.3e57 < y3 < -3e14 or 3.6e-46 < y3 < 1.0999999999999999e66

   1. Initial program 38.3%

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

   3. Taylor expanded in c around inf 57.5%

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

   4. Taylor expanded in x around inf 47.3%

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

      1. associate-*r* 49.8%

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

      2. +-commutative 49.8%

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

      3. mul-1-neg 49.8%

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

      4. unsub-neg 49.8%

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

      5. *-commutative 49.8%

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

   6. Simplified 49.8%

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

   if -3e14 < y3 < -2.60000000000000007e-97

   1. Initial program 47.1%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y5 around inf 42.2%

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

      1. *-commutative 42.2%

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

   6. Simplified 42.2%

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

   if -2.60000000000000007e-97 < y3 < -1.2499999999999999e-281

   1. Initial program 42.4%

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

   3. Taylor expanded in b around inf 49.7%

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

   4. Taylor expanded in y4 around inf 38.1%

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

      1. *-commutative 38.1%

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

   6. Simplified 38.1%

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

   if -1.2499999999999999e-281 < y3 < 3.6e-46

   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. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.4%

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

   4. Taylor expanded in t around inf 43.0%

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

   if 1.0999999999999999e66 < y3 < 9.49999999999999974e141

   1. Initial program 40.0%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in y1 around inf 60.4%

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

      1. associate-*r* 60.4%

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

      2. *-commutative 60.4%

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

   6. Simplified 60.4%

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

   if 4.19999999999999989e154 < y3

   1. Initial program 12.1%

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

   3. Taylor expanded in c around inf 45.6%

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

   4. Taylor expanded in y around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

      2. associate-*r* 52.5%

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

      3. *-commutative 52.5%

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

   6. Simplified 52.5%

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

   7. Taylor expanded in x around 0 55.1%

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

      1. mul-1-neg 55.1%

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

      2. distribute-rgt-neg-in 55.1%

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

      3. associate-*r* 58.0%

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

      4. *-commutative 58.0%

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

   9. Simplified 58.0%

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

4. Final simplification 49.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.3 \cdot 10^{+57}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{-97}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{-281}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 3.6 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{+66}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{+141}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 4.2 \cdot 10^{+154}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 29.8% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ t_2 := a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{if}\;y3 \leq -1.28 \cdot 10^{+61}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -2.15 \cdot 10^{+14}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -2.3 \cdot 10^{-98}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -5.7 \cdot 10^{-155}:\\ \;\;\;\;\left(t \cdot i - y0 \cdot y3\right) \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;y3 \leq 1.72 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{+61}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 1.05 \cdot 10^{+141}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+154}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* x c) (- (* y0 y2) (* y i))))
        (t_2 (* a (* y3 (- (* z y1) (* y y5))))))
   (if (<= y3 -1.28e+61)
     t_2
     (if (<= y3 -2.15e+14)
       t_1
       (if (<= y3 -2.3e-98)
         (* a (* y5 (- (* t y2) (* y y3))))
         (if (<= y3 -5.7e-155)
           (* (- (* t i) (* y0 y3)) (* z c))
           (if (<= y3 1.72e-46)
             (* t (* y4 (- (* b j) (* c y2))))
             (if (<= y3 3e+61)
               t_1
               (if (<= y3 1.05e+141)
                 (* (- (* k y2) (* j y3)) (* y1 y4))
                 (if (<= y3 3.1e+154) t_2 (* c (* y4 (* y 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -1.28e+61) {
		tmp = t_2;
	} else if (y3 <= -2.15e+14) {
		tmp = t_1;
	} else if (y3 <= -2.3e-98) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -5.7e-155) {
		tmp = ((t * i) - (y0 * y3)) * (z * c);
	} else if (y3 <= 1.72e-46) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 3e+61) {
		tmp = t_1;
	} else if (y3 <= 1.05e+141) {
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	} else if (y3 <= 3.1e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * 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) :: t_2
    real(8) :: tmp
    t_1 = (x * c) * ((y0 * y2) - (y * i))
    t_2 = a * (y3 * ((z * y1) - (y * y5)))
    if (y3 <= (-1.28d+61)) then
        tmp = t_2
    else if (y3 <= (-2.15d+14)) then
        tmp = t_1
    else if (y3 <= (-2.3d-98)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-5.7d-155)) then
        tmp = ((t * i) - (y0 * y3)) * (z * c)
    else if (y3 <= 1.72d-46) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 3d+61) then
        tmp = t_1
    else if (y3 <= 1.05d+141) then
        tmp = ((k * y2) - (j * y3)) * (y1 * y4)
    else if (y3 <= 3.1d+154) then
        tmp = t_2
    else
        tmp = c * (y4 * (y * 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -1.28e+61) {
		tmp = t_2;
	} else if (y3 <= -2.15e+14) {
		tmp = t_1;
	} else if (y3 <= -2.3e-98) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -5.7e-155) {
		tmp = ((t * i) - (y0 * y3)) * (z * c);
	} else if (y3 <= 1.72e-46) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 3e+61) {
		tmp = t_1;
	} else if (y3 <= 1.05e+141) {
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	} else if (y3 <= 3.1e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * c) * ((y0 * y2) - (y * i))
	t_2 = a * (y3 * ((z * y1) - (y * y5)))
	tmp = 0
	if y3 <= -1.28e+61:
		tmp = t_2
	elif y3 <= -2.15e+14:
		tmp = t_1
	elif y3 <= -2.3e-98:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -5.7e-155:
		tmp = ((t * i) - (y0 * y3)) * (z * c)
	elif y3 <= 1.72e-46:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 3e+61:
		tmp = t_1
	elif y3 <= 1.05e+141:
		tmp = ((k * y2) - (j * y3)) * (y1 * y4)
	elif y3 <= 3.1e+154:
		tmp = t_2
	else:
		tmp = c * (y4 * (y * 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(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)))
	t_2 = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))))
	tmp = 0.0
	if (y3 <= -1.28e+61)
		tmp = t_2;
	elseif (y3 <= -2.15e+14)
		tmp = t_1;
	elseif (y3 <= -2.3e-98)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -5.7e-155)
		tmp = Float64(Float64(Float64(t * i) - Float64(y0 * y3)) * Float64(z * c));
	elseif (y3 <= 1.72e-46)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 3e+61)
		tmp = t_1;
	elseif (y3 <= 1.05e+141)
		tmp = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(y1 * y4));
	elseif (y3 <= 3.1e+154)
		tmp = t_2;
	else
		tmp = Float64(c * Float64(y4 * Float64(y * 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 = (x * c) * ((y0 * y2) - (y * i));
	t_2 = a * (y3 * ((z * y1) - (y * y5)));
	tmp = 0.0;
	if (y3 <= -1.28e+61)
		tmp = t_2;
	elseif (y3 <= -2.15e+14)
		tmp = t_1;
	elseif (y3 <= -2.3e-98)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -5.7e-155)
		tmp = ((t * i) - (y0 * y3)) * (z * c);
	elseif (y3 <= 1.72e-46)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 3e+61)
		tmp = t_1;
	elseif (y3 <= 1.05e+141)
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	elseif (y3 <= 3.1e+154)
		tmp = t_2;
	else
		tmp = c * (y4 * (y * 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[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.28e+61], t$95$2, If[LessEqual[y3, -2.15e+14], t$95$1, If[LessEqual[y3, -2.3e-98], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.7e-155], N[(N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision] * N[(z * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.72e-46], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3e+61], t$95$1, If[LessEqual[y3, 1.05e+141], N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.1e+154], t$95$2, N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.27999999999999996e61 or 1.0499999999999999e141 < y3 < 3.1000000000000001e154

   1. Initial program 25.0%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y3 around inf 60.1%

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

      1. *-commutative 60.1%

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

   6. Simplified 60.1%

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

   if -1.27999999999999996e61 < y3 < -2.15e14 or 1.7199999999999999e-46 < y3 < 3e61

   1. Initial program 38.3%

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

   3. Taylor expanded in c around inf 57.5%

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

   4. Taylor expanded in x around inf 47.3%

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

      1. associate-*r* 49.8%

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

      2. +-commutative 49.8%

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

      3. mul-1-neg 49.8%

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

      4. unsub-neg 49.8%

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

      5. *-commutative 49.8%

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

   6. Simplified 49.8%

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

   if -2.15e14 < y3 < -2.30000000000000001e-98

   1. Initial program 47.1%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y5 around inf 42.2%

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

      1. *-commutative 42.2%

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

   6. Simplified 42.2%

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

   if -2.30000000000000001e-98 < y3 < -5.69999999999999965e-155

   1. Initial program 31.1%

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

   3. Taylor expanded in c around inf 23.4%

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

   4. Taylor expanded in z around inf 47.0%

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

      1. associate-*r* 47.0%

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

      2. *-commutative 47.0%

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

      3. +-commutative 47.0%

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

      4. mul-1-neg 47.0%

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

      5. unsub-neg 47.0%

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

      6. *-commutative 47.0%

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

      7. *-commutative 47.0%

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

   6. Simplified 47.0%

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

   if -5.69999999999999965e-155 < y3 < 1.7199999999999999e-46

   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. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.3%

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

   4. Taylor expanded in t around inf 40.1%

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

   if 3e61 < y3 < 1.0499999999999999e141

   1. Initial program 40.0%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in y1 around inf 60.4%

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

      1. associate-*r* 60.4%

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

      2. *-commutative 60.4%

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

   6. Simplified 60.4%

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

   if 3.1000000000000001e154 < y3

   1. Initial program 12.1%

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

   3. Taylor expanded in c around inf 45.6%

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

   4. Taylor expanded in y around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

      2. associate-*r* 52.5%

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

      3. *-commutative 52.5%

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

   6. Simplified 52.5%

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

   7. Taylor expanded in x around 0 55.1%

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

      1. mul-1-neg 55.1%

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

      2. distribute-rgt-neg-in 55.1%

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

      3. associate-*r* 58.0%

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

      4. *-commutative 58.0%

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

   9. Simplified 58.0%

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

4. Final simplification 49.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.28 \cdot 10^{+61}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.15 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -2.3 \cdot 10^{-98}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -5.7 \cdot 10^{-155}:\\ \;\;\;\;\left(t \cdot i - y0 \cdot y3\right) \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;y3 \leq 1.72 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{+61}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq 1.05 \cdot 10^{+141}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+154}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 30.5% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ t_2 := a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{if}\;y3 \leq -2.5 \cdot 10^{+58}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -2.1 \cdot 10^{+14}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -3.6 \cdot 10^{-55}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -4.8 \cdot 10^{-283}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 4.9 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{+58}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 7.5 \cdot 10^{+137}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{+154}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* x c) (- (* y0 y2) (* y i))))
        (t_2 (* a (* y3 (- (* z y1) (* y y5))))))
   (if (<= y3 -2.5e+58)
     t_2
     (if (<= y3 -2.1e+14)
       t_1
       (if (<= y3 -3.6e-55)
         (* a (* y5 (- (* t y2) (* y y3))))
         (if (<= y3 -4.8e-283)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y3 4.9e-46)
             (* t (* y4 (- (* b j) (* c y2))))
             (if (<= y3 2.1e+58)
               t_1
               (if (<= y3 7.5e+137)
                 (* (- (* k y2) (* j y3)) (* y1 y4))
                 (if (<= y3 2.6e+154) t_2 (* c (* y4 (* y 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -2.5e+58) {
		tmp = t_2;
	} else if (y3 <= -2.1e+14) {
		tmp = t_1;
	} else if (y3 <= -3.6e-55) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -4.8e-283) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y3 <= 4.9e-46) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 2.1e+58) {
		tmp = t_1;
	} else if (y3 <= 7.5e+137) {
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	} else if (y3 <= 2.6e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * 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) :: t_2
    real(8) :: tmp
    t_1 = (x * c) * ((y0 * y2) - (y * i))
    t_2 = a * (y3 * ((z * y1) - (y * y5)))
    if (y3 <= (-2.5d+58)) then
        tmp = t_2
    else if (y3 <= (-2.1d+14)) then
        tmp = t_1
    else if (y3 <= (-3.6d-55)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-4.8d-283)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y3 <= 4.9d-46) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 2.1d+58) then
        tmp = t_1
    else if (y3 <= 7.5d+137) then
        tmp = ((k * y2) - (j * y3)) * (y1 * y4)
    else if (y3 <= 2.6d+154) then
        tmp = t_2
    else
        tmp = c * (y4 * (y * 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 = (x * c) * ((y0 * y2) - (y * i));
	double t_2 = a * (y3 * ((z * y1) - (y * y5)));
	double tmp;
	if (y3 <= -2.5e+58) {
		tmp = t_2;
	} else if (y3 <= -2.1e+14) {
		tmp = t_1;
	} else if (y3 <= -3.6e-55) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -4.8e-283) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y3 <= 4.9e-46) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 2.1e+58) {
		tmp = t_1;
	} else if (y3 <= 7.5e+137) {
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	} else if (y3 <= 2.6e+154) {
		tmp = t_2;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * c) * ((y0 * y2) - (y * i))
	t_2 = a * (y3 * ((z * y1) - (y * y5)))
	tmp = 0
	if y3 <= -2.5e+58:
		tmp = t_2
	elif y3 <= -2.1e+14:
		tmp = t_1
	elif y3 <= -3.6e-55:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -4.8e-283:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y3 <= 4.9e-46:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 2.1e+58:
		tmp = t_1
	elif y3 <= 7.5e+137:
		tmp = ((k * y2) - (j * y3)) * (y1 * y4)
	elif y3 <= 2.6e+154:
		tmp = t_2
	else:
		tmp = c * (y4 * (y * 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(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)))
	t_2 = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))))
	tmp = 0.0
	if (y3 <= -2.5e+58)
		tmp = t_2;
	elseif (y3 <= -2.1e+14)
		tmp = t_1;
	elseif (y3 <= -3.6e-55)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -4.8e-283)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y3 <= 4.9e-46)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 2.1e+58)
		tmp = t_1;
	elseif (y3 <= 7.5e+137)
		tmp = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(y1 * y4));
	elseif (y3 <= 2.6e+154)
		tmp = t_2;
	else
		tmp = Float64(c * Float64(y4 * Float64(y * 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 = (x * c) * ((y0 * y2) - (y * i));
	t_2 = a * (y3 * ((z * y1) - (y * y5)));
	tmp = 0.0;
	if (y3 <= -2.5e+58)
		tmp = t_2;
	elseif (y3 <= -2.1e+14)
		tmp = t_1;
	elseif (y3 <= -3.6e-55)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -4.8e-283)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y3 <= 4.9e-46)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 2.1e+58)
		tmp = t_1;
	elseif (y3 <= 7.5e+137)
		tmp = ((k * y2) - (j * y3)) * (y1 * y4);
	elseif (y3 <= 2.6e+154)
		tmp = t_2;
	else
		tmp = c * (y4 * (y * 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[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.5e+58], t$95$2, If[LessEqual[y3, -2.1e+14], t$95$1, If[LessEqual[y3, -3.6e-55], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4.8e-283], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.9e-46], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.1e+58], t$95$1, If[LessEqual[y3, 7.5e+137], N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.6e+154], t$95$2, N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -2.49999999999999993e58 or 7.50000000000000025e137 < y3 < 2.59999999999999989e154

   1. Initial program 25.0%

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

   3. Taylor expanded in a around inf 41.9%

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

   4. Taylor expanded in y3 around inf 60.1%

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

      1. *-commutative 60.1%

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

   6. Simplified 60.1%

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

   if -2.49999999999999993e58 < y3 < -2.1e14 or 4.9000000000000001e-46 < y3 < 2.10000000000000012e58

   1. Initial program 38.3%

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

   3. Taylor expanded in c around inf 57.5%

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

   4. Taylor expanded in x around inf 47.3%

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

      1. associate-*r* 49.8%

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

      2. +-commutative 49.8%

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

      3. mul-1-neg 49.8%

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

      4. unsub-neg 49.8%

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

      5. *-commutative 49.8%

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

   6. Simplified 49.8%

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

   if -2.1e14 < y3 < -3.6000000000000001e-55

   1. Initial program 40.0%

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

   3. Taylor expanded in a around inf 41.3%

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

   4. Taylor expanded in y5 around inf 50.7%

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

      1. *-commutative 50.7%

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

   6. Simplified 50.7%

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

   if -3.6000000000000001e-55 < y3 < -4.7999999999999999e-283

   1. Initial program 45.5%

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

   3. Taylor expanded in z around -inf 42.1%

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

   4. Taylor expanded in k around inf 36.9%

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

   if -4.7999999999999999e-283 < y3 < 4.9000000000000001e-46

   1. Initial program 35.6%

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

   3. Taylor expanded in y4 around inf 45.2%

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

   4. Taylor expanded in t around inf 43.7%

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

   if 2.10000000000000012e58 < y3 < 7.50000000000000025e137

   1. Initial program 40.0%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in y1 around inf 60.4%

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

      1. associate-*r* 60.4%

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

      2. *-commutative 60.4%

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

   6. Simplified 60.4%

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

   if 2.59999999999999989e154 < y3

   1. Initial program 12.1%

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

   3. Taylor expanded in c around inf 45.6%

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

   4. Taylor expanded in y around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

      2. associate-*r* 52.5%

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

      3. *-commutative 52.5%

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

   6. Simplified 52.5%

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

   7. Taylor expanded in x around 0 55.1%

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

      1. mul-1-neg 55.1%

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

      2. distribute-rgt-neg-in 55.1%

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

      3. associate-*r* 58.0%

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

      4. *-commutative 58.0%

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

   9. Simplified 58.0%

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

4. Final simplification 49.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.5 \cdot 10^{+58}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.1 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -3.6 \cdot 10^{-55}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -4.8 \cdot 10^{-283}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 4.9 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{+58}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq 7.5 \cdot 10^{+137}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{+154}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 19.9% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -3 \cdot 10^{+133}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-176}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-194}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.08 \cdot 10^{-52}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+117}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;x \leq 8 \cdot 10^{+188}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{+217}:\\ \;\;\;\;c \cdot \left(t \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -3e+133)
   (* (* x c) (* y (- i)))
   (if (<= x -2.35e-176)
     (* j (* y1 (* y3 (- y4))))
     (if (<= x 6.5e-194)
       (* a (* b (* t (- z))))
       (if (<= x 1.7e-66)
         (* a (* z (* y1 y3)))
         (if (<= x 4.08e-52)
           (* c (* i (* z t)))
           (if (<= x 1.1e+117)
             (* (* y c) (* x (- i)))
             (if (<= x 8e+188)
               (* a (* x (* y b)))
               (if (<= x 8.8e+217)
                 (* c (* t (* y2 (- y4))))
                 (* c (* x (* y0 y2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -3e+133) {
		tmp = (x * c) * (y * -i);
	} else if (x <= -2.35e-176) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (x <= 6.5e-194) {
		tmp = a * (b * (t * -z));
	} else if (x <= 1.7e-66) {
		tmp = a * (z * (y1 * y3));
	} else if (x <= 4.08e-52) {
		tmp = c * (i * (z * t));
	} else if (x <= 1.1e+117) {
		tmp = (y * c) * (x * -i);
	} else if (x <= 8e+188) {
		tmp = a * (x * (y * b));
	} else if (x <= 8.8e+217) {
		tmp = c * (t * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (x <= (-3d+133)) then
        tmp = (x * c) * (y * -i)
    else if (x <= (-2.35d-176)) then
        tmp = j * (y1 * (y3 * -y4))
    else if (x <= 6.5d-194) then
        tmp = a * (b * (t * -z))
    else if (x <= 1.7d-66) then
        tmp = a * (z * (y1 * y3))
    else if (x <= 4.08d-52) then
        tmp = c * (i * (z * t))
    else if (x <= 1.1d+117) then
        tmp = (y * c) * (x * -i)
    else if (x <= 8d+188) then
        tmp = a * (x * (y * b))
    else if (x <= 8.8d+217) then
        tmp = c * (t * (y2 * -y4))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -3e+133) {
		tmp = (x * c) * (y * -i);
	} else if (x <= -2.35e-176) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (x <= 6.5e-194) {
		tmp = a * (b * (t * -z));
	} else if (x <= 1.7e-66) {
		tmp = a * (z * (y1 * y3));
	} else if (x <= 4.08e-52) {
		tmp = c * (i * (z * t));
	} else if (x <= 1.1e+117) {
		tmp = (y * c) * (x * -i);
	} else if (x <= 8e+188) {
		tmp = a * (x * (y * b));
	} else if (x <= 8.8e+217) {
		tmp = c * (t * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if x <= -3e+133:
		tmp = (x * c) * (y * -i)
	elif x <= -2.35e-176:
		tmp = j * (y1 * (y3 * -y4))
	elif x <= 6.5e-194:
		tmp = a * (b * (t * -z))
	elif x <= 1.7e-66:
		tmp = a * (z * (y1 * y3))
	elif x <= 4.08e-52:
		tmp = c * (i * (z * t))
	elif x <= 1.1e+117:
		tmp = (y * c) * (x * -i)
	elif x <= 8e+188:
		tmp = a * (x * (y * b))
	elif x <= 8.8e+217:
		tmp = c * (t * (y2 * -y4))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (x <= -3e+133)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	elseif (x <= -2.35e-176)
		tmp = Float64(j * Float64(y1 * Float64(y3 * Float64(-y4))));
	elseif (x <= 6.5e-194)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	elseif (x <= 1.7e-66)
		tmp = Float64(a * Float64(z * Float64(y1 * y3)));
	elseif (x <= 4.08e-52)
		tmp = Float64(c * Float64(i * Float64(z * t)));
	elseif (x <= 1.1e+117)
		tmp = Float64(Float64(y * c) * Float64(x * Float64(-i)));
	elseif (x <= 8e+188)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (x <= 8.8e+217)
		tmp = Float64(c * Float64(t * Float64(y2 * Float64(-y4))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (x <= -3e+133)
		tmp = (x * c) * (y * -i);
	elseif (x <= -2.35e-176)
		tmp = j * (y1 * (y3 * -y4));
	elseif (x <= 6.5e-194)
		tmp = a * (b * (t * -z));
	elseif (x <= 1.7e-66)
		tmp = a * (z * (y1 * y3));
	elseif (x <= 4.08e-52)
		tmp = c * (i * (z * t));
	elseif (x <= 1.1e+117)
		tmp = (y * c) * (x * -i);
	elseif (x <= 8e+188)
		tmp = a * (x * (y * b));
	elseif (x <= 8.8e+217)
		tmp = c * (t * (y2 * -y4));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[x, -3e+133], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.35e-176], N[(j * N[(y1 * N[(y3 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.5e-194], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.7e-66], N[(a * N[(z * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.08e-52], N[(c * N[(i * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.1e+117], N[(N[(y * c), $MachinePrecision] * N[(x * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8e+188], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.8e+217], N[(c * N[(t * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -3.00000000000000007e133

   1. Initial program 21.4%

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

   3. Taylor expanded in c around inf 42.8%

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

   4. Taylor expanded in x around inf 52.2%

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

      1. associate-*r* 52.2%

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

      2. +-commutative 52.2%

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

      3. mul-1-neg 52.2%

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

      4. unsub-neg 52.2%

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

      5. *-commutative 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in y0 around 0 49.4%

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

      1. neg-mul-1 49.4%

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

      2. distribute-rgt-neg-in 49.4%

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

   9. Simplified 49.4%

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

   if -3.00000000000000007e133 < x < -2.34999999999999992e-176

   1. Initial program 39.9%

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

   3. Taylor expanded in y4 around inf 45.7%

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

   4. Taylor expanded in j around inf 52.6%

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

      1. associate-*r* 43.4%

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

      2. *-commutative 43.4%

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

      3. +-commutative 43.4%

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

      4. mul-1-neg 43.4%

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

      5. unsub-neg 43.4%

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

      6. *-commutative 43.4%

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

   6. Simplified 43.4%

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

   7. Taylor expanded in b around 0 43.0%

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

      1. mul-1-neg 43.0%

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

      2. *-commutative 43.0%

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

      3. distribute-rgt-neg-in 43.0%

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

   9. Simplified 43.0%

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

   if -2.34999999999999992e-176 < x < 6.50000000000000019e-194

   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. Add Preprocessing

   3. Taylor expanded in a around inf 38.6%

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

   4. Taylor expanded in z around inf 30.2%

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

      1. +-commutative 30.2%

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

      2. mul-1-neg 30.2%

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

      3. unsub-neg 30.2%

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

      4. *-commutative 30.2%

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

   6. Simplified 30.2%

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

   7. Taylor expanded in y3 around 0 25.4%

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

      1. mul-1-neg 25.4%

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

      2. *-commutative 25.4%

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

      3. distribute-lft-neg-in 25.4%

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

      4. distribute-rgt-neg-in 25.4%

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

      5. *-commutative 25.4%

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

      6. distribute-rgt-neg-in 25.4%

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

   9. Simplified 25.4%

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

   if 6.50000000000000019e-194 < x < 1.69999999999999999e-66

   1. Initial program 39.9%

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

   3. Taylor expanded in a around inf 55.0%

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

   4. Taylor expanded in z around inf 41.3%

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

      1. +-commutative 41.3%

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

      2. mul-1-neg 41.3%

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

      3. unsub-neg 41.3%

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

      4. *-commutative 41.3%

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

   6. Simplified 41.3%

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

   7. Taylor expanded in y3 around inf 41.2%

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

      1. *-commutative 41.2%

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

   9. Simplified 41.2%

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

   if 1.69999999999999999e-66 < x < 4.08000000000000036e-52

   1. Initial program 28.6%

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

   3. Taylor expanded in c around inf 29.0%

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

   4. Taylor expanded in t around inf 71.8%

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

   5. Taylor expanded in i around inf 43.5%

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

   if 4.08000000000000036e-52 < x < 1.10000000000000007e117

   1. Initial program 37.1%

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

   3. Taylor expanded in c around inf 40.3%

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

   4. Taylor expanded in y around -inf 32.1%

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

      1. mul-1-neg 32.1%

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

      2. associate-*r* 26.3%

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

      3. *-commutative 26.3%

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

   6. Simplified 26.3%

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

   7. Taylor expanded in x around inf 23.4%

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

   if 1.10000000000000007e117 < x < 8.0000000000000002e188

   1. Initial program 7.7%

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

   3. Taylor expanded in a around inf 23.3%

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

   4. Taylor expanded in x around inf 54.7%

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

      1. +-commutative 54.7%

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

      2. mul-1-neg 54.7%

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

      3. unsub-neg 54.7%

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

      4. *-commutative 54.7%

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

   6. Simplified 54.7%

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

   7. Taylor expanded in y around inf 54.3%

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

   if 8.0000000000000002e188 < x < 8.7999999999999999e217

   1. Initial program 28.6%

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

   3. Taylor expanded in c around inf 14.3%

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

   4. Taylor expanded in t around inf 29.3%

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

   5. Taylor expanded in i around 0 58.1%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 58.1%

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

      2. distribute-rgt-neg-in 58.1%

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

      3. distribute-rgt-neg-in 58.1%

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

      4. distribute-lft-neg-in 58.1%

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

      5. *-commutative 58.1%

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

   7. Simplified 58.1%

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

   if 8.7999999999999999e217 < x

   1. Initial program 15.8%

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

   3. Taylor expanded in c around inf 42.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 58.2%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 53.2%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 53.2%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 53.2%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 53.2%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 53.2%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 53.2%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around inf 48.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 37.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3 \cdot 10^{+133}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-176}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-194}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.08 \cdot 10^{-52}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+117}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;x \leq 8 \cdot 10^{+188}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{+217}:\\ \;\;\;\;c \cdot \left(t \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 25.1% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y3 \leq -2.6 \cdot 10^{+30}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -9 \cdot 10^{-98}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -1.55 \cdot 10^{-159}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -9 \cdot 10^{-205}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4\right)\\ \mathbf{elif}\;y3 \leq -5.5 \cdot 10^{-283}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 1.16 \cdot 10^{-274}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 3.9 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 3.9 \cdot 10^{+108}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y3 -2.6e+30)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -9e-98)
       t_1
       (if (<= y3 -1.55e-159)
         (* c (* z (* t i)))
         (if (<= y3 -9e-205)
           (* (* t b) (* j y4))
           (if (<= y3 -5.5e-283)
             (* (* y c) (* x (- i)))
             (if (<= y3 1.16e-274)
               t_1
               (if (<= y3 3.9e-115)
                 (* b (* j (* t y4)))
                 (if (<= y3 3.9e+108)
                   (* (* x c) (* y (- i)))
                   (* c (* y4 (* y y3)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -2.6e+30) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -9e-98) {
		tmp = t_1;
	} else if (y3 <= -1.55e-159) {
		tmp = c * (z * (t * i));
	} else if (y3 <= -9e-205) {
		tmp = (t * b) * (j * y4);
	} else if (y3 <= -5.5e-283) {
		tmp = (y * c) * (x * -i);
	} else if (y3 <= 1.16e-274) {
		tmp = t_1;
	} else if (y3 <= 3.9e-115) {
		tmp = b * (j * (t * y4));
	} else if (y3 <= 3.9e+108) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y5 * ((t * y2) - (y * y3)))
    if (y3 <= (-2.6d+30)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-9d-98)) then
        tmp = t_1
    else if (y3 <= (-1.55d-159)) then
        tmp = c * (z * (t * i))
    else if (y3 <= (-9d-205)) then
        tmp = (t * b) * (j * y4)
    else if (y3 <= (-5.5d-283)) then
        tmp = (y * c) * (x * -i)
    else if (y3 <= 1.16d-274) then
        tmp = t_1
    else if (y3 <= 3.9d-115) then
        tmp = b * (j * (t * y4))
    else if (y3 <= 3.9d+108) then
        tmp = (x * c) * (y * -i)
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y3 <= -2.6e+30) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -9e-98) {
		tmp = t_1;
	} else if (y3 <= -1.55e-159) {
		tmp = c * (z * (t * i));
	} else if (y3 <= -9e-205) {
		tmp = (t * b) * (j * y4);
	} else if (y3 <= -5.5e-283) {
		tmp = (y * c) * (x * -i);
	} else if (y3 <= 1.16e-274) {
		tmp = t_1;
	} else if (y3 <= 3.9e-115) {
		tmp = b * (j * (t * y4));
	} else if (y3 <= 3.9e+108) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y3 <= -2.6e+30:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -9e-98:
		tmp = t_1
	elif y3 <= -1.55e-159:
		tmp = c * (z * (t * i))
	elif y3 <= -9e-205:
		tmp = (t * b) * (j * y4)
	elif y3 <= -5.5e-283:
		tmp = (y * c) * (x * -i)
	elif y3 <= 1.16e-274:
		tmp = t_1
	elif y3 <= 3.9e-115:
		tmp = b * (j * (t * y4))
	elif y3 <= 3.9e+108:
		tmp = (x * c) * (y * -i)
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y3 <= -2.6e+30)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -9e-98)
		tmp = t_1;
	elseif (y3 <= -1.55e-159)
		tmp = Float64(c * Float64(z * Float64(t * i)));
	elseif (y3 <= -9e-205)
		tmp = Float64(Float64(t * b) * Float64(j * y4));
	elseif (y3 <= -5.5e-283)
		tmp = Float64(Float64(y * c) * Float64(x * Float64(-i)));
	elseif (y3 <= 1.16e-274)
		tmp = t_1;
	elseif (y3 <= 3.9e-115)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y3 <= 3.9e+108)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y3 <= -2.6e+30)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -9e-98)
		tmp = t_1;
	elseif (y3 <= -1.55e-159)
		tmp = c * (z * (t * i));
	elseif (y3 <= -9e-205)
		tmp = (t * b) * (j * y4);
	elseif (y3 <= -5.5e-283)
		tmp = (y * c) * (x * -i);
	elseif (y3 <= 1.16e-274)
		tmp = t_1;
	elseif (y3 <= 3.9e-115)
		tmp = b * (j * (t * y4));
	elseif (y3 <= 3.9e+108)
		tmp = (x * c) * (y * -i);
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.6e+30], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9e-98], t$95$1, If[LessEqual[y3, -1.55e-159], N[(c * N[(z * N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9e-205], N[(N[(t * b), $MachinePrecision] * N[(j * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.5e-283], N[(N[(y * c), $MachinePrecision] * N[(x * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.16e-274], t$95$1, If[LessEqual[y3, 3.9e-115], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.9e+108], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -2.59999999999999988e30

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 41.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 52.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 52.8%

         \[\leadsto a \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y1} - y \cdot y5\right)\right) \]

   6. Simplified 52.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)} \]

   if -2.59999999999999988e30 < y3 < -8.99999999999999994e-98 or -5.49999999999999953e-283 < y3 < 1.16e-274

   1. Initial program 45.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 29.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.5%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 35.5%

         \[\leadsto a \cdot \left(y5 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \]

   6. Simplified 35.5%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} \]

   if -8.99999999999999994e-98 < y3 < -1.55e-159

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 28.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in t around inf 36.9%

      \[\leadsto \color{blue}{c \cdot \left(t \cdot \left(i \cdot z - y2 \cdot y4\right)\right)} \]

   5. Taylor expanded in i around inf 30.1%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 36.8%

         \[\leadsto c \cdot \color{blue}{\left(\left(i \cdot t\right) \cdot z\right)} \]

   7. Simplified 36.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot t\right) \cdot z\right)} \]

   if -1.55e-159 < y3 < -8.99999999999999912e-205

   1. Initial program 58.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 67.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in j around inf 51.0%

      \[\leadsto \color{blue}{j \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 43.3%

         \[\leadsto \color{blue}{\left(j \cdot y4\right) \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)} \]

      2. *-commutative 43.3%

         \[\leadsto \color{blue}{\left(y4 \cdot j\right)} \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right) \]

      3. +-commutative 43.3%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t + -1 \cdot \left(y1 \cdot y3\right)\right)} \]

      4. mul-1-neg 43.3%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t + \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      5. unsub-neg 43.3%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t - y1 \cdot y3\right)} \]

      6. *-commutative 43.3%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right) \]

   6. Simplified 43.3%

      \[\leadsto \color{blue}{\left(y4 \cdot j\right) \cdot \left(b \cdot t - y3 \cdot y1\right)} \]

   7. Taylor expanded in b around inf 42.8%

      \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t\right)} \]

   if -8.99999999999999912e-205 < y3 < -5.49999999999999953e-283

   1. Initial program 45.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 34.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 40.1%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.1%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 40.2%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 40.2%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around inf 40.2%

      \[\leadsto -\left(c \cdot y\right) \cdot \color{blue}{\left(i \cdot x\right)} \]

   if 1.16e-274 < y3 < 3.8999999999999998e-115

   1. Initial program 40.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 45.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in j around inf 35.0%

      \[\leadsto \color{blue}{j \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 27.8%

         \[\leadsto \color{blue}{\left(j \cdot y4\right) \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)} \]

      2. *-commutative 27.8%

         \[\leadsto \color{blue}{\left(y4 \cdot j\right)} \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right) \]

      3. +-commutative 27.8%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t + -1 \cdot \left(y1 \cdot y3\right)\right)} \]

      4. mul-1-neg 27.8%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t + \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      5. unsub-neg 27.8%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t - y1 \cdot y3\right)} \]

      6. *-commutative 27.8%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right) \]

   6. Simplified 27.8%

      \[\leadsto \color{blue}{\left(y4 \cdot j\right) \cdot \left(b \cdot t - y3 \cdot y1\right)} \]

   7. Taylor expanded in b around inf 38.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if 3.8999999999999998e-115 < y3 < 3.89999999999999985e108

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 42.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 38.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 38.4%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around 0 30.4%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(-1 \cdot \left(i \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. neg-mul-1 30.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(-i \cdot y\right)} \]

      2. distribute-rgt-neg-in 30.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(i \cdot \left(-y\right)\right)} \]

   9. Simplified 30.4%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(i \cdot \left(-y\right)\right)} \]

   if 3.89999999999999985e108 < y3

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 41.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 47.4%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 47.4%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around 0 54.5%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto -\color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto -\color{blue}{c \cdot \left(-y \cdot \left(y3 \cdot y4\right)\right)} \]

      3. associate-*r* 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y \cdot y3\right) \cdot y4}\right) \]

      4. *-commutative 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y3 \cdot y\right)} \cdot y4\right) \]

   9. Simplified 56.9%

      \[\leadsto -\color{blue}{c \cdot \left(-\left(y3 \cdot y\right) \cdot y4\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 42.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.6 \cdot 10^{+30}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -9 \cdot 10^{-98}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.55 \cdot 10^{-159}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq -9 \cdot 10^{-205}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4\right)\\ \mathbf{elif}\;y3 \leq -5.5 \cdot 10^{-283}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 1.16 \cdot 10^{-274}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 3.9 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 3.9 \cdot 10^{+108}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 31.1% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{if}\;y3 \leq -5 \cdot 10^{+60}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -95000000000000:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-98}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -9.6 \cdot 10^{-241}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -7.6 \cdot 10^{-284}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{-95}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.3 \cdot 10^{+113}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (* t (- (* y2 (/ y5 b)) z))))))
   (if (<= y3 -5e+60)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -95000000000000.0)
       (* (* x c) (- (* y0 y2) (* y i)))
       (if (<= y3 -3.8e-98)
         (* a (* y5 (- (* t y2) (* y y3))))
         (if (<= y3 -9.6e-241)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y3 -7.6e-284)
             t_1
             (if (<= y3 9.5e-95)
               (* t (* y4 (- (* b j) (* c y2))))
               (if (<= y3 1.3e+113) t_1 (* c (* y4 (* y y3))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)));
	double tmp;
	if (y3 <= -5e+60) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -95000000000000.0) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (y3 <= -3.8e-98) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -9.6e-241) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= -7.6e-284) {
		tmp = t_1;
	} else if (y3 <= 9.5e-95) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.3e+113) {
		tmp = t_1;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)))
    if (y3 <= (-5d+60)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-95000000000000.0d0)) then
        tmp = (x * c) * ((y0 * y2) - (y * i))
    else if (y3 <= (-3.8d-98)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-9.6d-241)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= (-7.6d-284)) then
        tmp = t_1
    else if (y3 <= 9.5d-95) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 1.3d+113) then
        tmp = t_1
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)));
	double tmp;
	if (y3 <= -5e+60) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -95000000000000.0) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (y3 <= -3.8e-98) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -9.6e-241) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= -7.6e-284) {
		tmp = t_1;
	} else if (y3 <= 9.5e-95) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.3e+113) {
		tmp = t_1;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)))
	tmp = 0
	if y3 <= -5e+60:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -95000000000000.0:
		tmp = (x * c) * ((y0 * y2) - (y * i))
	elif y3 <= -3.8e-98:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -9.6e-241:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= -7.6e-284:
		tmp = t_1
	elif y3 <= 9.5e-95:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 1.3e+113:
		tmp = t_1
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(t * Float64(Float64(y2 * Float64(y5 / b)) - z))))
	tmp = 0.0
	if (y3 <= -5e+60)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -95000000000000.0)
		tmp = Float64(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)));
	elseif (y3 <= -3.8e-98)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -9.6e-241)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= -7.6e-284)
		tmp = t_1;
	elseif (y3 <= 9.5e-95)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 1.3e+113)
		tmp = t_1;
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)));
	tmp = 0.0;
	if (y3 <= -5e+60)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -95000000000000.0)
		tmp = (x * c) * ((y0 * y2) - (y * i));
	elseif (y3 <= -3.8e-98)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -9.6e-241)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= -7.6e-284)
		tmp = t_1;
	elseif (y3 <= 9.5e-95)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 1.3e+113)
		tmp = t_1;
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(t * N[(N[(y2 * N[(y5 / b), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -5e+60], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -95000000000000.0], N[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.8e-98], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9.6e-241], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7.6e-284], t$95$1, If[LessEqual[y3, 9.5e-95], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.3e+113], t$95$1, N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -4.99999999999999975e60

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 57.8%

         \[\leadsto a \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y1} - y \cdot y5\right)\right) \]

   6. Simplified 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)} \]

   if -4.99999999999999975e60 < y3 < -9.5e13

   1. Initial program 51.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 58.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 37.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 44.6%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 44.6%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   if -9.5e13 < y3 < -3.8000000000000003e-98

   1. Initial program 47.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 41.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 42.2%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 42.2%

         \[\leadsto a \cdot \left(y5 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \]

   6. Simplified 42.2%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} \]

   if -3.8000000000000003e-98 < y3 < -9.6e-241

   1. Initial program 40.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 46.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 41.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -9.6e-241 < y3 < -7.5999999999999997e-284 or 9.49999999999999998e-95 < y3 < 1.3e113

   1. Initial program 33.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 32.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in b around inf 38.0%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(\left(-1 \cdot \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b} + x \cdot y\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{\left(x \cdot y + -1 \cdot \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)} - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      2. mul-1-neg 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\left(x \cdot y + \color{blue}{\left(-\frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)}\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      3. unsub-neg 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{\left(x \cdot y - \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)} - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      4. *-commutative 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\left(\color{blue}{y \cdot x} - \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      5. associate-/l* 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - \color{blue}{y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}}\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      6. +-commutative 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \color{blue}{\left(t \cdot z + -1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)}\right)\right) \]

      7. mul-1-neg 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(t \cdot z + \color{blue}{\left(-\frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)}\right)\right)\right) \]

      8. unsub-neg 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \color{blue}{\left(t \cdot z - \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)}\right)\right) \]

      9. *-commutative 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(\color{blue}{z \cdot t} - \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)\right)\right) \]

      10. associate-/l* 39.7%

          \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(z \cdot t - \color{blue}{y5 \cdot \frac{t \cdot y2 - y \cdot y3}{b}}\right)\right)\right) \]

      11. *-commutative 39.7%

          \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(z \cdot t - y5 \cdot \frac{t \cdot y2 - \color{blue}{y3 \cdot y}}{b}\right)\right)\right) \]

   6. Simplified 39.7%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(z \cdot t - y5 \cdot \frac{t \cdot y2 - y3 \cdot y}{b}\right)\right)\right)} \]

   7. Taylor expanded in t around inf 51.9%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(\frac{y2 \cdot y5}{b} - z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. associate-/l* 55.6%

         \[\leadsto a \cdot \left(b \cdot \left(t \cdot \left(\color{blue}{y2 \cdot \frac{y5}{b}} - z\right)\right)\right) \]

   9. Simplified 55.6%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)}\right) \]

   if -7.5999999999999997e-284 < y3 < 9.49999999999999998e-95

   1. Initial program 40.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 46.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in t around inf 43.9%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   if 1.3e113 < y3

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 41.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 47.4%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 47.4%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around 0 54.5%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto -\color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto -\color{blue}{c \cdot \left(-y \cdot \left(y3 \cdot y4\right)\right)} \]

      3. associate-*r* 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y \cdot y3\right) \cdot y4}\right) \]

      4. *-commutative 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y3 \cdot y\right)} \cdot y4\right) \]

   9. Simplified 56.9%

      \[\leadsto -\color{blue}{c \cdot \left(-\left(y3 \cdot y\right) \cdot y4\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 50.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -5 \cdot 10^{+60}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -95000000000000:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-98}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -9.6 \cdot 10^{-241}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -7.6 \cdot 10^{-284}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{-95}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.3 \cdot 10^{+113}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 32.2% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{if}\;y3 \leq -4.7 \cdot 10^{+58}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -1.55 \cdot 10^{-83}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -6.5 \cdot 10^{-241}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -5.5 \cdot 10^{-283}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 8.8 \cdot 10^{-95}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 6.9 \cdot 10^{+103}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (* t (- (* y2 (/ y5 b)) z))))))
   (if (<= y3 -4.7e+58)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -1.25e+14)
       (* (* x c) (- (* y0 y2) (* y i)))
       (if (<= y3 -1.55e-83)
         (* a (+ (* b (- (* x y) (* z t))) (* y5 (- (* t y2) (* y y3)))))
         (if (<= y3 -6.5e-241)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y3 -5.5e-283)
             t_1
             (if (<= y3 8.8e-95)
               (* t (* y4 (- (* b j) (* c y2))))
               (if (<= y3 6.9e+103) t_1 (* c (* y4 (* y y3))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)));
	double tmp;
	if (y3 <= -4.7e+58) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1.25e+14) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (y3 <= -1.55e-83) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= -6.5e-241) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= -5.5e-283) {
		tmp = t_1;
	} else if (y3 <= 8.8e-95) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 6.9e+103) {
		tmp = t_1;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)))
    if (y3 <= (-4.7d+58)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-1.25d+14)) then
        tmp = (x * c) * ((y0 * y2) - (y * i))
    else if (y3 <= (-1.55d-83)) then
        tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
    else if (y3 <= (-6.5d-241)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= (-5.5d-283)) then
        tmp = t_1
    else if (y3 <= 8.8d-95) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 6.9d+103) then
        tmp = t_1
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)));
	double tmp;
	if (y3 <= -4.7e+58) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1.25e+14) {
		tmp = (x * c) * ((y0 * y2) - (y * i));
	} else if (y3 <= -1.55e-83) {
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	} else if (y3 <= -6.5e-241) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= -5.5e-283) {
		tmp = t_1;
	} else if (y3 <= 8.8e-95) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 6.9e+103) {
		tmp = t_1;
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)))
	tmp = 0
	if y3 <= -4.7e+58:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -1.25e+14:
		tmp = (x * c) * ((y0 * y2) - (y * i))
	elif y3 <= -1.55e-83:
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))))
	elif y3 <= -6.5e-241:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= -5.5e-283:
		tmp = t_1
	elif y3 <= 8.8e-95:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 6.9e+103:
		tmp = t_1
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(t * Float64(Float64(y2 * Float64(y5 / b)) - z))))
	tmp = 0.0
	if (y3 <= -4.7e+58)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -1.25e+14)
		tmp = Float64(Float64(x * c) * Float64(Float64(y0 * y2) - Float64(y * i)));
	elseif (y3 <= -1.55e-83)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (y3 <= -6.5e-241)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= -5.5e-283)
		tmp = t_1;
	elseif (y3 <= 8.8e-95)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 6.9e+103)
		tmp = t_1;
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * (t * ((y2 * (y5 / b)) - z)));
	tmp = 0.0;
	if (y3 <= -4.7e+58)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -1.25e+14)
		tmp = (x * c) * ((y0 * y2) - (y * i));
	elseif (y3 <= -1.55e-83)
		tmp = a * ((b * ((x * y) - (z * t))) + (y5 * ((t * y2) - (y * y3))));
	elseif (y3 <= -6.5e-241)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= -5.5e-283)
		tmp = t_1;
	elseif (y3 <= 8.8e-95)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 6.9e+103)
		tmp = t_1;
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(t * N[(N[(y2 * N[(y5 / b), $MachinePrecision]), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -4.7e+58], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.25e+14], N[(N[(x * c), $MachinePrecision] * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.55e-83], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -6.5e-241], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.5e-283], t$95$1, If[LessEqual[y3, 8.8e-95], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 6.9e+103], t$95$1, N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -4.69999999999999972e58

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 57.8%

         \[\leadsto a \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y1} - y \cdot y5\right)\right) \]

   6. Simplified 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)} \]

   if -4.69999999999999972e58 < y3 < -1.25e14

   1. Initial program 51.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 58.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 37.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 44.6%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 44.6%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   if -1.25e14 < y3 < -1.54999999999999996e-83

   1. Initial program 42.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 43.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y1 around 0 57.6%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   if -1.54999999999999996e-83 < y3 < -6.4999999999999998e-241

   1. Initial program 42.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 49.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 43.6%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -6.4999999999999998e-241 < y3 < -5.49999999999999953e-283 or 8.7999999999999995e-95 < y3 < 6.8999999999999999e103

   1. Initial program 33.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 32.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in b around inf 38.0%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(\left(-1 \cdot \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b} + x \cdot y\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{\left(x \cdot y + -1 \cdot \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)} - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      2. mul-1-neg 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\left(x \cdot y + \color{blue}{\left(-\frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)}\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      3. unsub-neg 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{\left(x \cdot y - \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right)} - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      4. *-commutative 38.0%

         \[\leadsto a \cdot \left(b \cdot \left(\left(\color{blue}{y \cdot x} - \frac{y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)}{b}\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      5. associate-/l* 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - \color{blue}{y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}}\right) - \left(-1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b} + t \cdot z\right)\right)\right) \]

      6. +-commutative 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \color{blue}{\left(t \cdot z + -1 \cdot \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)}\right)\right) \]

      7. mul-1-neg 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(t \cdot z + \color{blue}{\left(-\frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)}\right)\right)\right) \]

      8. unsub-neg 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \color{blue}{\left(t \cdot z - \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)}\right)\right) \]

      9. *-commutative 39.7%

         \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(\color{blue}{z \cdot t} - \frac{y5 \cdot \left(t \cdot y2 - y \cdot y3\right)}{b}\right)\right)\right) \]

      10. associate-/l* 39.7%

          \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(z \cdot t - \color{blue}{y5 \cdot \frac{t \cdot y2 - y \cdot y3}{b}}\right)\right)\right) \]

      11. *-commutative 39.7%

          \[\leadsto a \cdot \left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(z \cdot t - y5 \cdot \frac{t \cdot y2 - \color{blue}{y3 \cdot y}}{b}\right)\right)\right) \]

   6. Simplified 39.7%

      \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(\left(y \cdot x - y1 \cdot \frac{x \cdot y2 - y3 \cdot z}{b}\right) - \left(z \cdot t - y5 \cdot \frac{t \cdot y2 - y3 \cdot y}{b}\right)\right)\right)} \]

   7. Taylor expanded in t around inf 51.9%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(\frac{y2 \cdot y5}{b} - z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. associate-/l* 55.6%

         \[\leadsto a \cdot \left(b \cdot \left(t \cdot \left(\color{blue}{y2 \cdot \frac{y5}{b}} - z\right)\right)\right) \]

   9. Simplified 55.6%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)}\right) \]

   if -5.49999999999999953e-283 < y3 < 8.7999999999999995e-95

   1. Initial program 40.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 46.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in t around inf 43.9%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   if 6.8999999999999999e103 < y3

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 41.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 47.4%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 47.4%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around 0 54.5%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto -\color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto -\color{blue}{c \cdot \left(-y \cdot \left(y3 \cdot y4\right)\right)} \]

      3. associate-*r* 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y \cdot y3\right) \cdot y4}\right) \]

      4. *-commutative 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y3 \cdot y\right)} \cdot y4\right) \]

   9. Simplified 56.9%

      \[\leadsto -\color{blue}{c \cdot \left(-\left(y3 \cdot y\right) \cdot y4\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -4.7 \cdot 10^{+58}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)\\ \mathbf{elif}\;y3 \leq -1.55 \cdot 10^{-83}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -6.5 \cdot 10^{-241}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq -5.5 \cdot 10^{-283}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 8.8 \cdot 10^{-95}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 6.9 \cdot 10^{+103}:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(y2 \cdot \frac{y5}{b} - z\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 30.5% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.7 \cdot 10^{+60}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -0.0033:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{-263}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 8.2 \cdot 10^{-28}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+110}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.7e+60)
   (* a (* y3 (- (* z y1) (* y y5))))
   (if (<= y3 -0.0033)
     (* b (* y4 (- (* t j) (* y k))))
     (if (<= y3 -1.25e-79)
       (* a (* y5 (- (* t y2) (* y y3))))
       (if (<= y3 -1.45e-263)
         (* b (* y0 (- (* z k) (* x j))))
         (if (<= y3 8.2e-28)
           (* t (* y4 (- (* b j) (* c y2))))
           (if (<= y3 3.1e+110)
             (* c (* y0 (- (* x y2) (* z y3))))
             (* c (* y4 (* y y3))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -1.7e+60) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -0.0033) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y3 <= -1.25e-79) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -1.45e-263) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 8.2e-28) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 3.1e+110) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y3 <= (-1.7d+60)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-0.0033d0)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y3 <= (-1.25d-79)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-1.45d-263)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= 8.2d-28) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 3.1d+110) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -1.7e+60) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -0.0033) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y3 <= -1.25e-79) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -1.45e-263) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 8.2e-28) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 3.1e+110) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y3 <= -1.7e+60:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -0.0033:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y3 <= -1.25e-79:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -1.45e-263:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= 8.2e-28:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 3.1e+110:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y3 <= -1.7e+60)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -0.0033)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y3 <= -1.25e-79)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -1.45e-263)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= 8.2e-28)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 3.1e+110)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y3 <= -1.7e+60)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -0.0033)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y3 <= -1.25e-79)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -1.45e-263)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= 8.2e-28)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 3.1e+110)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y3, -1.7e+60], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -0.0033], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.25e-79], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.45e-263], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 8.2e-28], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.1e+110], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.7e60

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 57.8%

         \[\leadsto a \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y1} - y \cdot y5\right)\right) \]

   6. Simplified 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)} \]

   if -1.7e60 < y3 < -0.0033

   1. Initial program 44.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 38.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 38.5%

         \[\leadsto b \cdot \left(y4 \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right)\right) \]

   6. Simplified 38.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - y \cdot k\right)\right)} \]

   if -0.0033 < y3 < -1.25e-79

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.6%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 50.6%

         \[\leadsto a \cdot \left(y5 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \]

   6. Simplified 50.6%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} \]

   if -1.25e-79 < y3 < -1.45000000000000002e-263

   1. Initial program 44.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 38.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.45000000000000002e-263 < y3 < 8.2000000000000005e-28

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 42.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in t around inf 41.1%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   if 8.2000000000000005e-28 < y3 < 3.10000000000000017e110

   1. Initial program 27.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 40.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y0 around inf 45.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 3.10000000000000017e110 < y3

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 41.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 47.4%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 47.4%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around 0 54.5%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto -\color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto -\color{blue}{c \cdot \left(-y \cdot \left(y3 \cdot y4\right)\right)} \]

      3. associate-*r* 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y \cdot y3\right) \cdot y4}\right) \]

      4. *-commutative 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y3 \cdot y\right)} \cdot y4\right) \]

   9. Simplified 56.9%

      \[\leadsto -\color{blue}{c \cdot \left(-\left(y3 \cdot y\right) \cdot y4\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 47.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.7 \cdot 10^{+60}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -0.0033:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -1.25 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{-263}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 8.2 \cdot 10^{-28}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{+110}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 22.6% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -1.25 \cdot 10^{+57}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -2.15 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{-92}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -3.9 \cdot 10^{-157}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 7.5 \cdot 10^{-118}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{+108}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -1.25e+57)
   (* a (* y1 (* z y3)))
   (if (<= y3 -2.15e+14)
     (* (* x c) (* y0 y2))
     (if (<= y3 -1.5e-92)
       (* a (* x (- (* y b) (* y1 y2))))
       (if (<= y3 -3.9e-157)
         (* c (* z (* t i)))
         (if (<= y3 7.5e-118)
           (* b (* j (* t y4)))
           (if (<= y3 2.6e+108)
             (* (* x c) (* y (- i)))
             (* c (* y4 (* y y3))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -1.25e+57) {
		tmp = a * (y1 * (z * y3));
	} else if (y3 <= -2.15e+14) {
		tmp = (x * c) * (y0 * y2);
	} else if (y3 <= -1.5e-92) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y3 <= -3.9e-157) {
		tmp = c * (z * (t * i));
	} else if (y3 <= 7.5e-118) {
		tmp = b * (j * (t * y4));
	} else if (y3 <= 2.6e+108) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y3 <= (-1.25d+57)) then
        tmp = a * (y1 * (z * y3))
    else if (y3 <= (-2.15d+14)) then
        tmp = (x * c) * (y0 * y2)
    else if (y3 <= (-1.5d-92)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y3 <= (-3.9d-157)) then
        tmp = c * (z * (t * i))
    else if (y3 <= 7.5d-118) then
        tmp = b * (j * (t * y4))
    else if (y3 <= 2.6d+108) then
        tmp = (x * c) * (y * -i)
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -1.25e+57) {
		tmp = a * (y1 * (z * y3));
	} else if (y3 <= -2.15e+14) {
		tmp = (x * c) * (y0 * y2);
	} else if (y3 <= -1.5e-92) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y3 <= -3.9e-157) {
		tmp = c * (z * (t * i));
	} else if (y3 <= 7.5e-118) {
		tmp = b * (j * (t * y4));
	} else if (y3 <= 2.6e+108) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y3 <= -1.25e+57:
		tmp = a * (y1 * (z * y3))
	elif y3 <= -2.15e+14:
		tmp = (x * c) * (y0 * y2)
	elif y3 <= -1.5e-92:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y3 <= -3.9e-157:
		tmp = c * (z * (t * i))
	elif y3 <= 7.5e-118:
		tmp = b * (j * (t * y4))
	elif y3 <= 2.6e+108:
		tmp = (x * c) * (y * -i)
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y3 <= -1.25e+57)
		tmp = Float64(a * Float64(y1 * Float64(z * y3)));
	elseif (y3 <= -2.15e+14)
		tmp = Float64(Float64(x * c) * Float64(y0 * y2));
	elseif (y3 <= -1.5e-92)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y3 <= -3.9e-157)
		tmp = Float64(c * Float64(z * Float64(t * i)));
	elseif (y3 <= 7.5e-118)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y3 <= 2.6e+108)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y3 <= -1.25e+57)
		tmp = a * (y1 * (z * y3));
	elseif (y3 <= -2.15e+14)
		tmp = (x * c) * (y0 * y2);
	elseif (y3 <= -1.5e-92)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y3 <= -3.9e-157)
		tmp = c * (z * (t * i));
	elseif (y3 <= 7.5e-118)
		tmp = b * (j * (t * y4));
	elseif (y3 <= 2.6e+108)
		tmp = (x * c) * (y * -i);
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y3, -1.25e+57], N[(a * N[(y1 * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.15e+14], N[(N[(x * c), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.5e-92], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.9e-157], N[(c * N[(z * N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 7.5e-118], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.6e+108], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -1.24999999999999993e57

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 51.8%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 51.8%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 51.8%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 51.8%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 51.8%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 51.8%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around inf 50.0%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 50.0%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right) \cdot a} \]

      2. *-commutative 50.0%

         \[\leadsto \color{blue}{\left(\left(y3 \cdot z\right) \cdot y1\right)} \cdot a \]

   9. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(y3 \cdot z\right) \cdot y1\right) \cdot a} \]

   if -1.24999999999999993e57 < y3 < -2.15e14

   1. Initial program 51.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 58.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 37.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 44.6%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 44.6%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 44.6%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around inf 37.6%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2\right)} \]

   if -2.15e14 < y3 < -1.50000000000000007e-92

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 44.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 32.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 32.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 32.3%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 32.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 32.3%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   6. Simplified 32.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

   if -1.50000000000000007e-92 < y3 < -3.89999999999999999e-157

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 21.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in t around inf 37.1%

      \[\leadsto \color{blue}{c \cdot \left(t \cdot \left(i \cdot z - y2 \cdot y4\right)\right)} \]

   5. Taylor expanded in i around inf 30.3%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto c \cdot \color{blue}{\left(\left(i \cdot t\right) \cdot z\right)} \]

   7. Simplified 37.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot t\right) \cdot z\right)} \]

   if -3.89999999999999999e-157 < y3 < 7.49999999999999978e-118

   1. Initial program 44.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in j around inf 30.8%

      \[\leadsto \color{blue}{j \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 24.2%

         \[\leadsto \color{blue}{\left(j \cdot y4\right) \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)} \]

      2. *-commutative 24.2%

         \[\leadsto \color{blue}{\left(y4 \cdot j\right)} \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right) \]

      3. +-commutative 24.2%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t + -1 \cdot \left(y1 \cdot y3\right)\right)} \]

      4. mul-1-neg 24.2%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t + \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      5. unsub-neg 24.2%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t - y1 \cdot y3\right)} \]

      6. *-commutative 24.2%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right) \]

   6. Simplified 24.2%

      \[\leadsto \color{blue}{\left(y4 \cdot j\right) \cdot \left(b \cdot t - y3 \cdot y1\right)} \]

   7. Taylor expanded in b around inf 28.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if 7.49999999999999978e-118 < y3 < 2.6000000000000002e108

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 42.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 38.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 38.4%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around 0 30.4%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(-1 \cdot \left(i \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. neg-mul-1 30.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(-i \cdot y\right)} \]

      2. distribute-rgt-neg-in 30.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(i \cdot \left(-y\right)\right)} \]

   9. Simplified 30.4%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(i \cdot \left(-y\right)\right)} \]

   if 2.6000000000000002e108 < y3

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 41.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 47.4%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 47.4%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around 0 54.5%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto -\color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto -\color{blue}{c \cdot \left(-y \cdot \left(y3 \cdot y4\right)\right)} \]

      3. associate-*r* 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y \cdot y3\right) \cdot y4}\right) \]

      4. *-commutative 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y3 \cdot y\right)} \cdot y4\right) \]

   9. Simplified 56.9%

      \[\leadsto -\color{blue}{c \cdot \left(-\left(y3 \cdot y\right) \cdot y4\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 38.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.25 \cdot 10^{+57}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -2.15 \cdot 10^{+14}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{-92}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -3.9 \cdot 10^{-157}:\\ \;\;\;\;c \cdot \left(z \cdot \left(t \cdot i\right)\right)\\ \mathbf{elif}\;y3 \leq 7.5 \cdot 10^{-118}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.6 \cdot 10^{+108}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 30.6% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{if}\;y3 \leq -2.8 \cdot 10^{+63}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.95:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -2.02 \cdot 10^{-81}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.85 \cdot 10^{-240}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{-138}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y4 (- (* t j) (* y k))))))
   (if (<= y3 -2.8e+63)
     (* a (* y3 (- (* z y1) (* y y5))))
     (if (<= y3 -1.95)
       t_1
       (if (<= y3 -2.02e-81)
         (* a (* y5 (- (* t y2) (* y y3))))
         (if (<= y3 -1.85e-240)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y3 9.5e-138) t_1 (* c (* y4 (- (* y y3) (* t y2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double tmp;
	if (y3 <= -2.8e+63) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1.95) {
		tmp = t_1;
	} else if (y3 <= -2.02e-81) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -1.85e-240) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 9.5e-138) {
		tmp = t_1;
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y4 * ((t * j) - (y * k)))
    if (y3 <= (-2.8d+63)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-1.95d0)) then
        tmp = t_1
    else if (y3 <= (-2.02d-81)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y3 <= (-1.85d-240)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y3 <= 9.5d-138) then
        tmp = t_1
    else
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y4 * ((t * j) - (y * k)));
	double tmp;
	if (y3 <= -2.8e+63) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -1.95) {
		tmp = t_1;
	} else if (y3 <= -2.02e-81) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y3 <= -1.85e-240) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y3 <= 9.5e-138) {
		tmp = t_1;
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y4 * ((t * j) - (y * k)))
	tmp = 0
	if y3 <= -2.8e+63:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -1.95:
		tmp = t_1
	elif y3 <= -2.02e-81:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y3 <= -1.85e-240:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y3 <= 9.5e-138:
		tmp = t_1
	else:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))))
	tmp = 0.0
	if (y3 <= -2.8e+63)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -1.95)
		tmp = t_1;
	elseif (y3 <= -2.02e-81)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y3 <= -1.85e-240)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y3 <= 9.5e-138)
		tmp = t_1;
	else
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y4 * ((t * j) - (y * k)));
	tmp = 0.0;
	if (y3 <= -2.8e+63)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -1.95)
		tmp = t_1;
	elseif (y3 <= -2.02e-81)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y3 <= -1.85e-240)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y3 <= 9.5e-138)
		tmp = t_1;
	else
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -2.8e+63], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.95], t$95$1, If[LessEqual[y3, -2.02e-81], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.85e-240], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9.5e-138], t$95$1, N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y3 < -2.79999999999999987e63

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 57.8%

         \[\leadsto a \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y1} - y \cdot y5\right)\right) \]

   6. Simplified 57.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)} \]

   if -2.79999999999999987e63 < y3 < -1.94999999999999996 or -1.8500000000000001e-240 < y3 < 9.49999999999999997e-138

   1. Initial program 44.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 44.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 39.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.8%

         \[\leadsto b \cdot \left(y4 \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right)\right) \]

   6. Simplified 39.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - y \cdot k\right)\right)} \]

   if -1.94999999999999996 < y3 < -2.02000000000000006e-81

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.6%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 50.6%

         \[\leadsto a \cdot \left(y5 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \]

   6. Simplified 50.6%

      \[\leadsto a \cdot \color{blue}{\left(y5 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} \]

   if -2.02000000000000006e-81 < y3 < -1.8500000000000001e-240

   1. Initial program 43.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 44.7%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 9.49999999999999997e-138 < y3

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 36.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in c around inf 40.9%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 45.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -2.8 \cdot 10^{+63}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.95:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -2.02 \cdot 10^{-81}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.85 \cdot 10^{-240}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 9.5 \cdot 10^{-138}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 26.6% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y3 \leq -7.2 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -7 \cdot 10^{-205}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-283}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 5.1 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+107}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y3 -7.2e+23)
   (* a (* y3 (- (* z y1) (* y y5))))
   (if (<= y3 -7e-205)
     (* a (* x (- (* y b) (* y1 y2))))
     (if (<= y3 -8.2e-283)
       (* (* y c) (* x (- i)))
       (if (<= y3 5.1e-117)
         (* b (* j (* t y4)))
         (if (<= y3 9e+107) (* (* x c) (* y (- i))) (* c (* y4 (* y y3)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -7.2e+23) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -7e-205) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y3 <= -8.2e-283) {
		tmp = (y * c) * (x * -i);
	} else if (y3 <= 5.1e-117) {
		tmp = b * (j * (t * y4));
	} else if (y3 <= 9e+107) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y3 <= (-7.2d+23)) then
        tmp = a * (y3 * ((z * y1) - (y * y5)))
    else if (y3 <= (-7d-205)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y3 <= (-8.2d-283)) then
        tmp = (y * c) * (x * -i)
    else if (y3 <= 5.1d-117) then
        tmp = b * (j * (t * y4))
    else if (y3 <= 9d+107) then
        tmp = (x * c) * (y * -i)
    else
        tmp = c * (y4 * (y * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y3 <= -7.2e+23) {
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	} else if (y3 <= -7e-205) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y3 <= -8.2e-283) {
		tmp = (y * c) * (x * -i);
	} else if (y3 <= 5.1e-117) {
		tmp = b * (j * (t * y4));
	} else if (y3 <= 9e+107) {
		tmp = (x * c) * (y * -i);
	} else {
		tmp = c * (y4 * (y * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y3 <= -7.2e+23:
		tmp = a * (y3 * ((z * y1) - (y * y5)))
	elif y3 <= -7e-205:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y3 <= -8.2e-283:
		tmp = (y * c) * (x * -i)
	elif y3 <= 5.1e-117:
		tmp = b * (j * (t * y4))
	elif y3 <= 9e+107:
		tmp = (x * c) * (y * -i)
	else:
		tmp = c * (y4 * (y * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y3 <= -7.2e+23)
		tmp = Float64(a * Float64(y3 * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y3 <= -7e-205)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y3 <= -8.2e-283)
		tmp = Float64(Float64(y * c) * Float64(x * Float64(-i)));
	elseif (y3 <= 5.1e-117)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (y3 <= 9e+107)
		tmp = Float64(Float64(x * c) * Float64(y * Float64(-i)));
	else
		tmp = Float64(c * Float64(y4 * Float64(y * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y3 <= -7.2e+23)
		tmp = a * (y3 * ((z * y1) - (y * y5)));
	elseif (y3 <= -7e-205)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y3 <= -8.2e-283)
		tmp = (y * c) * (x * -i);
	elseif (y3 <= 5.1e-117)
		tmp = b * (j * (t * y4));
	elseif (y3 <= 9e+107)
		tmp = (x * c) * (y * -i);
	else
		tmp = c * (y4 * (y * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y3, -7.2e+23], N[(a * N[(y3 * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7e-205], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -8.2e-283], N[(N[(y * c), $MachinePrecision] * N[(x * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5.1e-117], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9e+107], N[(N[(x * c), $MachinePrecision] * N[(y * (-i)), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y3 < -7.1999999999999997e23

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 38.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 51.2%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto a \cdot \left(y3 \cdot \left(\color{blue}{z \cdot y1} - y \cdot y5\right)\right) \]

   6. Simplified 51.2%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)} \]

   if -7.1999999999999997e23 < y3 < -7.00000000000000001e-205

   1. Initial program 44.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 33.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 25.4%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 25.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 25.4%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 25.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 25.4%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   6. Simplified 25.4%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

   if -7.00000000000000001e-205 < y3 < -8.19999999999999973e-283

   1. Initial program 45.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 34.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 40.1%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.1%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 40.2%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 40.2%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around inf 40.2%

      \[\leadsto -\left(c \cdot y\right) \cdot \color{blue}{\left(i \cdot x\right)} \]

   if -8.19999999999999973e-283 < y3 < 5.1000000000000002e-117

   1. Initial program 41.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 45.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in j around inf 26.4%

      \[\leadsto \color{blue}{j \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 19.5%

         \[\leadsto \color{blue}{\left(j \cdot y4\right) \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)} \]

      2. *-commutative 19.5%

         \[\leadsto \color{blue}{\left(y4 \cdot j\right)} \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right) \]

      3. +-commutative 19.5%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t + -1 \cdot \left(y1 \cdot y3\right)\right)} \]

      4. mul-1-neg 19.5%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t + \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      5. unsub-neg 19.5%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t - y1 \cdot y3\right)} \]

      6. *-commutative 19.5%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right) \]

   6. Simplified 19.5%

      \[\leadsto \color{blue}{\left(y4 \cdot j\right) \cdot \left(b \cdot t - y3 \cdot y1\right)} \]

   7. Taylor expanded in b around inf 28.6%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if 5.1000000000000002e-117 < y3 < 9e107

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 42.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 38.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 38.4%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 38.4%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around 0 30.4%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(-1 \cdot \left(i \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. neg-mul-1 30.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(-i \cdot y\right)} \]

      2. distribute-rgt-neg-in 30.4%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(i \cdot \left(-y\right)\right)} \]

   9. Simplified 30.4%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(i \cdot \left(-y\right)\right)} \]

   if 9e107 < y3

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 41.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 47.4%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 47.4%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around 0 54.5%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto -\color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto -\color{blue}{c \cdot \left(-y \cdot \left(y3 \cdot y4\right)\right)} \]

      3. associate-*r* 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y \cdot y3\right) \cdot y4}\right) \]

      4. *-commutative 56.9%

         \[\leadsto -c \cdot \left(-\color{blue}{\left(y3 \cdot y\right)} \cdot y4\right) \]

   9. Simplified 56.9%

      \[\leadsto -\color{blue}{c \cdot \left(-\left(y3 \cdot y\right) \cdot y4\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 39.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -7.2 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -7 \cdot 10^{-205}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-283}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;y3 \leq 5.1 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+107}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 21.0% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -1.5 \cdot 10^{+14}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-156}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 0.00034:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -1.5e+14)
   (* (* y c) (* x (- i)))
   (if (<= c -9e-137)
     (* a (* x (* y b)))
     (if (<= c 2.5e-156)
       (* a (* z (* y1 y3)))
       (if (<= c 0.00034) (* a (* b (* t (- z)))) (* (* x c) (* y0 y2)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -1.5e+14) {
		tmp = (y * c) * (x * -i);
	} else if (c <= -9e-137) {
		tmp = a * (x * (y * b));
	} else if (c <= 2.5e-156) {
		tmp = a * (z * (y1 * y3));
	} else if (c <= 0.00034) {
		tmp = a * (b * (t * -z));
	} else {
		tmp = (x * c) * (y0 * y2);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-1.5d+14)) then
        tmp = (y * c) * (x * -i)
    else if (c <= (-9d-137)) then
        tmp = a * (x * (y * b))
    else if (c <= 2.5d-156) then
        tmp = a * (z * (y1 * y3))
    else if (c <= 0.00034d0) then
        tmp = a * (b * (t * -z))
    else
        tmp = (x * c) * (y0 * y2)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -1.5e+14) {
		tmp = (y * c) * (x * -i);
	} else if (c <= -9e-137) {
		tmp = a * (x * (y * b));
	} else if (c <= 2.5e-156) {
		tmp = a * (z * (y1 * y3));
	} else if (c <= 0.00034) {
		tmp = a * (b * (t * -z));
	} else {
		tmp = (x * c) * (y0 * y2);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -1.5e+14:
		tmp = (y * c) * (x * -i)
	elif c <= -9e-137:
		tmp = a * (x * (y * b))
	elif c <= 2.5e-156:
		tmp = a * (z * (y1 * y3))
	elif c <= 0.00034:
		tmp = a * (b * (t * -z))
	else:
		tmp = (x * c) * (y0 * y2)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -1.5e+14)
		tmp = Float64(Float64(y * c) * Float64(x * Float64(-i)));
	elseif (c <= -9e-137)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (c <= 2.5e-156)
		tmp = Float64(a * Float64(z * Float64(y1 * y3)));
	elseif (c <= 0.00034)
		tmp = Float64(a * Float64(b * Float64(t * Float64(-z))));
	else
		tmp = Float64(Float64(x * c) * Float64(y0 * y2));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -1.5e+14)
		tmp = (y * c) * (x * -i);
	elseif (c <= -9e-137)
		tmp = a * (x * (y * b));
	elseif (c <= 2.5e-156)
		tmp = a * (z * (y1 * y3));
	elseif (c <= 0.00034)
		tmp = a * (b * (t * -z));
	else
		tmp = (x * c) * (y0 * y2);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -1.5e+14], N[(N[(y * c), $MachinePrecision] * N[(x * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -9e-137], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.5e-156], N[(a * N[(z * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 0.00034], N[(a * N[(b * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(x * c), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if c < -1.5e14

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 43.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 42.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 42.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 42.5%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 42.5%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 42.5%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around inf 31.4%

      \[\leadsto -\left(c \cdot y\right) \cdot \color{blue}{\left(i \cdot x\right)} \]

   if -1.5e14 < c < -8.9999999999999994e-137

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 22.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 34.5%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 34.5%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   6. Simplified 34.5%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in y around inf 31.5%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -8.9999999999999994e-137 < c < 2.50000000000000004e-156

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 43.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 33.1%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.1%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 33.1%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 33.1%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 33.1%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 33.1%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around inf 29.9%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 29.9%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   9. Simplified 29.9%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   if 2.50000000000000004e-156 < c < 3.4e-4

   1. Initial program 19.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 35.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 39.1%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.1%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 39.1%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 39.1%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 39.1%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 39.1%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around 0 32.7%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 32.7%

         \[\leadsto \color{blue}{-a \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. *-commutative 32.7%

         \[\leadsto -\color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot a} \]

      3. distribute-lft-neg-in 32.7%

         \[\leadsto \color{blue}{\left(-b \cdot \left(t \cdot z\right)\right) \cdot a} \]

      4. distribute-rgt-neg-in 32.7%

         \[\leadsto \color{blue}{\left(b \cdot \left(-t \cdot z\right)\right)} \cdot a \]

      5. *-commutative 32.7%

         \[\leadsto \left(b \cdot \left(-\color{blue}{z \cdot t}\right)\right) \cdot a \]

      6. distribute-rgt-neg-in 32.7%

         \[\leadsto \left(b \cdot \color{blue}{\left(z \cdot \left(-t\right)\right)}\right) \cdot a \]

   9. Simplified 32.7%

      \[\leadsto \color{blue}{\left(b \cdot \left(z \cdot \left(-t\right)\right)\right) \cdot a} \]

   if 3.4e-4 < c

   1. Initial program 21.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 34.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 37.5%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 37.5%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around inf 32.1%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.5 \cdot 10^{+14}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-156}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 0.00034:\\ \;\;\;\;a \cdot \left(b \cdot \left(t \cdot \left(-z\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 21.9% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{if}\;y1 \leq -1.36 \cdot 10^{-21}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq 1.46 \cdot 10^{-186}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 9.2 \cdot 10^{+92}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* z (* y1 y3)))))
   (if (<= y1 -1.36e-21)
     t_1
     (if (<= y1 1.46e-186)
       (* c (* x (* y0 y2)))
       (if (<= y1 9.2e+92) (* b (* j (* t y4))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (z * (y1 * y3));
	double tmp;
	if (y1 <= -1.36e-21) {
		tmp = t_1;
	} else if (y1 <= 1.46e-186) {
		tmp = c * (x * (y0 * y2));
	} else if (y1 <= 9.2e+92) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (z * (y1 * y3))
    if (y1 <= (-1.36d-21)) then
        tmp = t_1
    else if (y1 <= 1.46d-186) then
        tmp = c * (x * (y0 * y2))
    else if (y1 <= 9.2d+92) then
        tmp = b * (j * (t * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (z * (y1 * y3));
	double tmp;
	if (y1 <= -1.36e-21) {
		tmp = t_1;
	} else if (y1 <= 1.46e-186) {
		tmp = c * (x * (y0 * y2));
	} else if (y1 <= 9.2e+92) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (z * (y1 * y3))
	tmp = 0
	if y1 <= -1.36e-21:
		tmp = t_1
	elif y1 <= 1.46e-186:
		tmp = c * (x * (y0 * y2))
	elif y1 <= 9.2e+92:
		tmp = b * (j * (t * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(z * Float64(y1 * y3)))
	tmp = 0.0
	if (y1 <= -1.36e-21)
		tmp = t_1;
	elseif (y1 <= 1.46e-186)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y1 <= 9.2e+92)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (z * (y1 * y3));
	tmp = 0.0;
	if (y1 <= -1.36e-21)
		tmp = t_1;
	elseif (y1 <= 1.46e-186)
		tmp = c * (x * (y0 * y2));
	elseif (y1 <= 9.2e+92)
		tmp = b * (j * (t * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(z * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -1.36e-21], t$95$1, If[LessEqual[y1, 1.46e-186], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 9.2e+92], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y1 < -1.3599999999999999e-21 or 9.19999999999999994e92 < y1

   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. Add Preprocessing

   3. Taylor expanded in a around inf 34.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 37.0%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 37.0%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 37.0%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 37.0%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 37.0%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 37.0%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around inf 34.3%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 34.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   9. Simplified 34.3%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   if -1.3599999999999999e-21 < y1 < 1.46e-186

   1. Initial program 43.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 44.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 33.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 30.2%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 30.2%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 30.2%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 30.2%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 30.2%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 30.2%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around inf 24.8%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if 1.46e-186 < y1 < 9.19999999999999994e92

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in j around inf 36.4%

      \[\leadsto \color{blue}{j \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 26.0%

         \[\leadsto \color{blue}{\left(j \cdot y4\right) \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)} \]

      2. *-commutative 26.0%

         \[\leadsto \color{blue}{\left(y4 \cdot j\right)} \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right) \]

      3. +-commutative 26.0%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t + -1 \cdot \left(y1 \cdot y3\right)\right)} \]

      4. mul-1-neg 26.0%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t + \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      5. unsub-neg 26.0%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t - y1 \cdot y3\right)} \]

      6. *-commutative 26.0%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right) \]

   6. Simplified 26.0%

      \[\leadsto \color{blue}{\left(y4 \cdot j\right) \cdot \left(b \cdot t - y3 \cdot y1\right)} \]

   7. Taylor expanded in b around inf 28.9%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 29.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.36 \cdot 10^{-21}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 1.46 \cdot 10^{-186}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 9.2 \cdot 10^{+92}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 20.8% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -11500000000000:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -1.15 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 0.00031:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -11500000000000.0)
   (* (* y c) (* x (- i)))
   (if (<= c -1.15e-141)
     (* a (* x (* y b)))
     (if (<= c 0.00031) (* a (* z (* y1 y3))) (* (* x c) (* y0 y2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -11500000000000.0) {
		tmp = (y * c) * (x * -i);
	} else if (c <= -1.15e-141) {
		tmp = a * (x * (y * b));
	} else if (c <= 0.00031) {
		tmp = a * (z * (y1 * y3));
	} else {
		tmp = (x * c) * (y0 * y2);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-11500000000000.0d0)) then
        tmp = (y * c) * (x * -i)
    else if (c <= (-1.15d-141)) then
        tmp = a * (x * (y * b))
    else if (c <= 0.00031d0) then
        tmp = a * (z * (y1 * y3))
    else
        tmp = (x * c) * (y0 * y2)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -11500000000000.0) {
		tmp = (y * c) * (x * -i);
	} else if (c <= -1.15e-141) {
		tmp = a * (x * (y * b));
	} else if (c <= 0.00031) {
		tmp = a * (z * (y1 * y3));
	} else {
		tmp = (x * c) * (y0 * y2);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -11500000000000.0:
		tmp = (y * c) * (x * -i)
	elif c <= -1.15e-141:
		tmp = a * (x * (y * b))
	elif c <= 0.00031:
		tmp = a * (z * (y1 * y3))
	else:
		tmp = (x * c) * (y0 * y2)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -11500000000000.0)
		tmp = Float64(Float64(y * c) * Float64(x * Float64(-i)));
	elseif (c <= -1.15e-141)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (c <= 0.00031)
		tmp = Float64(a * Float64(z * Float64(y1 * y3)));
	else
		tmp = Float64(Float64(x * c) * Float64(y0 * y2));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -11500000000000.0)
		tmp = (y * c) * (x * -i);
	elseif (c <= -1.15e-141)
		tmp = a * (x * (y * b));
	elseif (c <= 0.00031)
		tmp = a * (z * (y1 * y3));
	else
		tmp = (x * c) * (y0 * y2);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -11500000000000.0], N[(N[(y * c), $MachinePrecision] * N[(x * (-i)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.15e-141], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 0.00031], N[(a * N[(z * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(x * c), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if c < -1.15e13

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 43.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y around -inf 42.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 42.5%

         \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]

      2. associate-*r* 42.5%

         \[\leadsto -\color{blue}{\left(c \cdot y\right) \cdot \left(i \cdot x - y3 \cdot y4\right)} \]

      3. *-commutative 42.5%

         \[\leadsto -\left(c \cdot y\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

   6. Simplified 42.5%

      \[\leadsto \color{blue}{-\left(c \cdot y\right) \cdot \left(x \cdot i - y3 \cdot y4\right)} \]

   7. Taylor expanded in x around inf 31.4%

      \[\leadsto -\left(c \cdot y\right) \cdot \color{blue}{\left(i \cdot x\right)} \]

   if -1.15e13 < c < -1.14999999999999997e-141

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 22.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 34.5%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 34.5%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   6. Simplified 34.5%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in y around inf 31.5%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -1.14999999999999997e-141 < c < 3.1e-4

   1. Initial program 39.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 40.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 35.0%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 35.0%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 35.0%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 35.0%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 35.0%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 35.0%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around inf 25.8%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 25.8%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   9. Simplified 25.8%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   if 3.1e-4 < c

   1. Initial program 21.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in x around inf 34.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 37.5%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)} \]

      2. +-commutative 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)} \]

      3. mul-1-neg 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right) \]

      4. unsub-neg 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2 - i \cdot y\right)} \]

      5. *-commutative 37.5%

         \[\leadsto \left(c \cdot x\right) \cdot \left(y0 \cdot y2 - \color{blue}{y \cdot i}\right) \]

   6. Simplified 37.5%

      \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2 - y \cdot i\right)} \]

   7. Taylor expanded in y0 around inf 32.1%

      \[\leadsto \left(c \cdot x\right) \cdot \color{blue}{\left(y0 \cdot y2\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 29.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -11500000000000:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(x \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -1.15 \cdot 10^{-141}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 0.00031:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot c\right) \cdot \left(y0 \cdot y2\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 21.9% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -3.4 \cdot 10^{-9} \lor \neg \left(b \leq 8 \cdot 10^{-9}\right):\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= b -3.4e-9) (not (<= b 8e-9)))
   (* a (* x (* y b)))
   (* a (* z (* y1 y3)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((b <= -3.4e-9) || !(b <= 8e-9)) {
		tmp = a * (x * (y * b));
	} else {
		tmp = a * (z * (y1 * y3));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((b <= (-3.4d-9)) .or. (.not. (b <= 8d-9))) then
        tmp = a * (x * (y * b))
    else
        tmp = a * (z * (y1 * y3))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((b <= -3.4e-9) || !(b <= 8e-9)) {
		tmp = a * (x * (y * b));
	} else {
		tmp = a * (z * (y1 * y3));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (b <= -3.4e-9) or not (b <= 8e-9):
		tmp = a * (x * (y * b))
	else:
		tmp = a * (z * (y1 * y3))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((b <= -3.4e-9) || !(b <= 8e-9))
		tmp = Float64(a * Float64(x * Float64(y * b)));
	else
		tmp = Float64(a * Float64(z * Float64(y1 * y3)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((b <= -3.4e-9) || ~((b <= 8e-9)))
		tmp = a * (x * (y * b));
	else
		tmp = a * (z * (y1 * y3));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[b, -3.4e-9], N[Not[LessEqual[b, 8e-9]], $MachinePrecision]], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(z * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if b < -3.3999999999999998e-9 or 8.0000000000000005e-9 < b

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 34.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 33.1%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 33.1%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 33.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 33.1%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   6. Simplified 33.1%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in y around inf 28.4%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -3.3999999999999998e-9 < b < 8.0000000000000005e-9

   1. Initial program 36.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 31.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 25.4%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 25.4%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 25.4%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 25.4%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 25.4%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 25.4%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around inf 21.6%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 21.6%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   9. Simplified 21.6%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 25.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -3.4 \cdot 10^{-9} \lor \neg \left(b \leq 8 \cdot 10^{-9}\right):\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 21.7% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -2.3 \cdot 10^{-56} \lor \neg \left(y1 \leq 4.6 \cdot 10^{+92}\right):\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y1 -2.3e-56) (not (<= y1 4.6e+92)))
   (* a (* z (* y1 y3)))
   (* b (* j (* t 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 ((y1 <= -2.3e-56) || !(y1 <= 4.6e+92)) {
		tmp = a * (z * (y1 * y3));
	} else {
		tmp = b * (j * (t * 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 ((y1 <= (-2.3d-56)) .or. (.not. (y1 <= 4.6d+92))) then
        tmp = a * (z * (y1 * y3))
    else
        tmp = b * (j * (t * 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 ((y1 <= -2.3e-56) || !(y1 <= 4.6e+92)) {
		tmp = a * (z * (y1 * y3));
	} else {
		tmp = b * (j * (t * 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 (y1 <= -2.3e-56) or not (y1 <= 4.6e+92):
		tmp = a * (z * (y1 * y3))
	else:
		tmp = b * (j * (t * 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 ((y1 <= -2.3e-56) || !(y1 <= 4.6e+92))
		tmp = Float64(a * Float64(z * Float64(y1 * y3)));
	else
		tmp = Float64(b * Float64(j * Float64(t * 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 ((y1 <= -2.3e-56) || ~((y1 <= 4.6e+92)))
		tmp = a * (z * (y1 * y3));
	else
		tmp = b * (j * (t * 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[y1, -2.3e-56], N[Not[LessEqual[y1, 4.6e+92]], $MachinePrecision]], N[(a * N[(z * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y1 < -2.30000000000000002e-56 or 4.59999999999999997e92 < y1

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 35.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 36.2%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 36.2%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 36.2%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 36.2%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 36.2%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 36.2%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   7. Taylor expanded in y3 around inf 32.8%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 32.8%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   9. Simplified 32.8%

      \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y3 \cdot y1\right)}\right) \]

   if -2.30000000000000002e-56 < y1 < 4.59999999999999997e92

   1. Initial program 39.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 37.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in j around inf 25.2%

      \[\leadsto \color{blue}{j \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 20.4%

         \[\leadsto \color{blue}{\left(j \cdot y4\right) \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right)} \]

      2. *-commutative 20.4%

         \[\leadsto \color{blue}{\left(y4 \cdot j\right)} \cdot \left(-1 \cdot \left(y1 \cdot y3\right) + b \cdot t\right) \]

      3. +-commutative 20.4%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t + -1 \cdot \left(y1 \cdot y3\right)\right)} \]

      4. mul-1-neg 20.4%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t + \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      5. unsub-neg 20.4%

         \[\leadsto \left(y4 \cdot j\right) \cdot \color{blue}{\left(b \cdot t - y1 \cdot y3\right)} \]

      6. *-commutative 20.4%

         \[\leadsto \left(y4 \cdot j\right) \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right) \]

   6. Simplified 20.4%

      \[\leadsto \color{blue}{\left(y4 \cdot j\right) \cdot \left(b \cdot t - y3 \cdot y1\right)} \]

   7. Taylor expanded in b around inf 21.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 26.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.3 \cdot 10^{-56} \lor \neg \left(y1 \leq 4.6 \cdot 10^{+92}\right):\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 17.2% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* (* x y) b)))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * ((x * y) * b)
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * ((x * y) * b)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(Float64(x * y) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * ((x * y) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 33.0%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in a around inf 32.6%

   \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

4. Taylor expanded in x around inf 22.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. +-commutative 22.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

   2. mul-1-neg 22.3%

      \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

   3. unsub-neg 22.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   4. *-commutative 22.3%

      \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

6. Simplified 22.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

7. Taylor expanded in y around inf 14.3%

   \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

8. Final simplification 14.3%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
9. Add Preprocessing

Alternative 33: 16.9% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(x \cdot \left(y \cdot b\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* 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(x * Float64(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[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 33.0%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in a around inf 32.6%

   \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

4. Taylor expanded in x around inf 22.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. +-commutative 22.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

   2. mul-1-neg 22.3%

      \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

   3. unsub-neg 22.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   4. *-commutative 22.3%

      \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

6. Simplified 22.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]

7. Taylor expanded in y around inf 15.8%

   \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

8. Final simplification 15.8%

   \[\leadsto a \cdot \left(x \cdot \left(y \cdot b\right)\right) \]
9. Add Preprocessing

Developer target: 27.0% accurate, 0.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t\_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t\_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t\_9\\ t_11 := t\_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t\_4 \cdot t\_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t\_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t\_3 \cdot t\_1 - t\_14\right)\right) + \left(t\_8 - \left(t\_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t\_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t\_13\right)\right) + \left(t\_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t\_10 - \left(y \cdot x - z \cdot t\right) \cdot t\_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t\_8 - \left(t\_11 - t\_6\right)\right) - \left(\frac{t\_3}{\frac{1}{t\_1}} - t\_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t\_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t\_2 - \left(t\_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t\_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t\_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t\_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t\_5\right) - t\_17 \cdot t\_1\right) + t\_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2024067 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :alt
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))