Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.4% → 40.0%

Time: 1.6min

Alternatives: 43

Speedup: 5.5×

• 88.9% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Initial Program: 30.4% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 40.0% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y2 - z \cdot y3\\ t_2 := k \cdot y2 - j \cdot y3\\ t_3 := j \cdot y3 - k \cdot y2\\ t_4 := j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_5 := x \cdot j - z \cdot k\\ t_6 := c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot t_1\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_7 := y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{if}\;j \leq -1.7 \cdot 10^{+113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+20}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot t_2\right)\\ \mathbf{elif}\;j \leq -1.2:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-204}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot t_5 + y4 \cdot t_2\right)\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{-251}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq 3.55 \cdot 10^{-258}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 5.2 \cdot 10^{-213}:\\ \;\;\;\;y0 \cdot \left(c \cdot t_1 + \left(y5 \cdot t_3 - b \cdot t_5\right)\right)\\ \mathbf{elif}\;j \leq 0.07:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 2.4 \cdot 10^{+121}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{+181}:\\ \;\;\;\;\left(y0 \cdot y5\right) \cdot t_3\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{+285}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y2) (* z y3)))
        (t_2 (- (* k y2) (* j y3)))
        (t_3 (- (* j y3) (* k y2)))
        (t_4
         (*
          j
          (-
           (+ (* y3 (- (* y0 y5) (* y1 y4))) (* t (- (* b y4) (* i y5))))
           (* x (- (* b y0) (* i y1))))))
        (t_5 (- (* x j) (* z k)))
        (t_6
         (*
          c
          (+
           (+ (* i (- (* z t) (* x y))) (* y0 t_1))
           (* y4 (- (* y y3) (* t y2))))))
        (t_7
         (*
          y
          (+
           (* k (- (* i y5) (* b y4)))
           (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5))))))))
   (if (<= j -1.7e+113)
     t_4
     (if (<= j -3.4e+20)
       (* y4 (* y1 t_2))
       (if (<= j -1.2)
         t_7
         (if (<= j -2.4e-204)
           (* y1 (+ (* a (- (* z y3) (* x y2))) (+ (* i t_5) (* y4 t_2))))
           (if (<= j -2.3e-251)
             t_7
             (if (<= j 3.55e-258)
               (*
                y2
                (+
                 (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= j 5.2e-213)
                 (* y0 (+ (* c t_1) (- (* y5 t_3) (* b t_5))))
                 (if (<= j 0.07)
                   t_6
                   (if (<= j 2.4e+121)
                     (*
                      b
                      (+
                       (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
                       (* y0 (- (* z k) (* x j)))))
                     (if (<= j 3.6e+181)
                       (* (* y0 y5) t_3)
                       (if (<= j 2.1e+285) t_4 t_6)))))))))))))

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 * y2) - (z * y3);
	double t_2 = (k * y2) - (j * y3);
	double t_3 = (j * y3) - (k * y2);
	double t_4 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) - (x * ((b * y0) - (i * y1))));
	double t_5 = (x * j) - (z * k);
	double t_6 = c * (((i * ((z * t) - (x * y))) + (y0 * t_1)) + (y4 * ((y * y3) - (t * y2))));
	double t_7 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double tmp;
	if (j <= -1.7e+113) {
		tmp = t_4;
	} else if (j <= -3.4e+20) {
		tmp = y4 * (y1 * t_2);
	} else if (j <= -1.2) {
		tmp = t_7;
	} else if (j <= -2.4e-204) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_5) + (y4 * t_2)));
	} else if (j <= -2.3e-251) {
		tmp = t_7;
	} else if (j <= 3.55e-258) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (j <= 5.2e-213) {
		tmp = y0 * ((c * t_1) + ((y5 * t_3) - (b * t_5)));
	} else if (j <= 0.07) {
		tmp = t_6;
	} else if (j <= 2.4e+121) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (j <= 3.6e+181) {
		tmp = (y0 * y5) * t_3;
	} else if (j <= 2.1e+285) {
		tmp = t_4;
	} else {
		tmp = t_6;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (x * y2) - (z * y3)
    t_2 = (k * y2) - (j * y3)
    t_3 = (j * y3) - (k * y2)
    t_4 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) - (x * ((b * y0) - (i * y1))))
    t_5 = (x * j) - (z * k)
    t_6 = c * (((i * ((z * t) - (x * y))) + (y0 * t_1)) + (y4 * ((y * y3) - (t * y2))))
    t_7 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    if (j <= (-1.7d+113)) then
        tmp = t_4
    else if (j <= (-3.4d+20)) then
        tmp = y4 * (y1 * t_2)
    else if (j <= (-1.2d0)) then
        tmp = t_7
    else if (j <= (-2.4d-204)) then
        tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_5) + (y4 * t_2)))
    else if (j <= (-2.3d-251)) then
        tmp = t_7
    else if (j <= 3.55d-258) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (j <= 5.2d-213) then
        tmp = y0 * ((c * t_1) + ((y5 * t_3) - (b * t_5)))
    else if (j <= 0.07d0) then
        tmp = t_6
    else if (j <= 2.4d+121) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else if (j <= 3.6d+181) then
        tmp = (y0 * y5) * t_3
    else if (j <= 2.1d+285) then
        tmp = t_4
    else
        tmp = t_6
    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 * y2) - (z * y3);
	double t_2 = (k * y2) - (j * y3);
	double t_3 = (j * y3) - (k * y2);
	double t_4 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) - (x * ((b * y0) - (i * y1))));
	double t_5 = (x * j) - (z * k);
	double t_6 = c * (((i * ((z * t) - (x * y))) + (y0 * t_1)) + (y4 * ((y * y3) - (t * y2))));
	double t_7 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double tmp;
	if (j <= -1.7e+113) {
		tmp = t_4;
	} else if (j <= -3.4e+20) {
		tmp = y4 * (y1 * t_2);
	} else if (j <= -1.2) {
		tmp = t_7;
	} else if (j <= -2.4e-204) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_5) + (y4 * t_2)));
	} else if (j <= -2.3e-251) {
		tmp = t_7;
	} else if (j <= 3.55e-258) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (j <= 5.2e-213) {
		tmp = y0 * ((c * t_1) + ((y5 * t_3) - (b * t_5)));
	} else if (j <= 0.07) {
		tmp = t_6;
	} else if (j <= 2.4e+121) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (j <= 3.6e+181) {
		tmp = (y0 * y5) * t_3;
	} else if (j <= 2.1e+285) {
		tmp = t_4;
	} else {
		tmp = t_6;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y2) - (z * y3)
	t_2 = (k * y2) - (j * y3)
	t_3 = (j * y3) - (k * y2)
	t_4 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) - (x * ((b * y0) - (i * y1))))
	t_5 = (x * j) - (z * k)
	t_6 = c * (((i * ((z * t) - (x * y))) + (y0 * t_1)) + (y4 * ((y * y3) - (t * y2))))
	t_7 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	tmp = 0
	if j <= -1.7e+113:
		tmp = t_4
	elif j <= -3.4e+20:
		tmp = y4 * (y1 * t_2)
	elif j <= -1.2:
		tmp = t_7
	elif j <= -2.4e-204:
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_5) + (y4 * t_2)))
	elif j <= -2.3e-251:
		tmp = t_7
	elif j <= 3.55e-258:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif j <= 5.2e-213:
		tmp = y0 * ((c * t_1) + ((y5 * t_3) - (b * t_5)))
	elif j <= 0.07:
		tmp = t_6
	elif j <= 2.4e+121:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	elif j <= 3.6e+181:
		tmp = (y0 * y5) * t_3
	elif j <= 2.1e+285:
		tmp = t_4
	else:
		tmp = t_6
	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 * y2) - Float64(z * y3))
	t_2 = Float64(Float64(k * y2) - Float64(j * y3))
	t_3 = Float64(Float64(j * y3) - Float64(k * y2))
	t_4 = Float64(j * Float64(Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) - Float64(x * Float64(Float64(b * y0) - Float64(i * y1)))))
	t_5 = Float64(Float64(x * j) - Float64(z * k))
	t_6 = Float64(c * Float64(Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(y0 * t_1)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_7 = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))))
	tmp = 0.0
	if (j <= -1.7e+113)
		tmp = t_4;
	elseif (j <= -3.4e+20)
		tmp = Float64(y4 * Float64(y1 * t_2));
	elseif (j <= -1.2)
		tmp = t_7;
	elseif (j <= -2.4e-204)
		tmp = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(Float64(i * t_5) + Float64(y4 * t_2))));
	elseif (j <= -2.3e-251)
		tmp = t_7;
	elseif (j <= 3.55e-258)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (j <= 5.2e-213)
		tmp = Float64(y0 * Float64(Float64(c * t_1) + Float64(Float64(y5 * t_3) - Float64(b * t_5))));
	elseif (j <= 0.07)
		tmp = t_6;
	elseif (j <= 2.4e+121)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (j <= 3.6e+181)
		tmp = Float64(Float64(y0 * y5) * t_3);
	elseif (j <= 2.1e+285)
		tmp = t_4;
	else
		tmp = t_6;
	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 * y2) - (z * y3);
	t_2 = (k * y2) - (j * y3);
	t_3 = (j * y3) - (k * y2);
	t_4 = j * (((y3 * ((y0 * y5) - (y1 * y4))) + (t * ((b * y4) - (i * y5)))) - (x * ((b * y0) - (i * y1))));
	t_5 = (x * j) - (z * k);
	t_6 = c * (((i * ((z * t) - (x * y))) + (y0 * t_1)) + (y4 * ((y * y3) - (t * y2))));
	t_7 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	tmp = 0.0;
	if (j <= -1.7e+113)
		tmp = t_4;
	elseif (j <= -3.4e+20)
		tmp = y4 * (y1 * t_2);
	elseif (j <= -1.2)
		tmp = t_7;
	elseif (j <= -2.4e-204)
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_5) + (y4 * t_2)));
	elseif (j <= -2.3e-251)
		tmp = t_7;
	elseif (j <= 3.55e-258)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (j <= 5.2e-213)
		tmp = y0 * ((c * t_1) + ((y5 * t_3) - (b * t_5)));
	elseif (j <= 0.07)
		tmp = t_6;
	elseif (j <= 2.4e+121)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	elseif (j <= 3.6e+181)
		tmp = (y0 * y5) * t_3;
	elseif (j <= 2.1e+285)
		tmp = t_4;
	else
		tmp = t_6;
	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 * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = 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 * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(c * N[(N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y * N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.7e+113], t$95$4, If[LessEqual[j, -3.4e+20], N[(y4 * N[(y1 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.2], t$95$7, If[LessEqual[j, -2.4e-204], N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$5), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.3e-251], t$95$7, If[LessEqual[j, 3.55e-258], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.2e-213], N[(y0 * N[(N[(c * t$95$1), $MachinePrecision] + N[(N[(y5 * t$95$3), $MachinePrecision] - N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 0.07], t$95$6, If[LessEqual[j, 2.4e+121], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $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[j, 3.6e+181], N[(N[(y0 * y5), $MachinePrecision] * t$95$3), $MachinePrecision], If[LessEqual[j, 2.1e+285], t$95$4, t$95$6]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if j < -1.70000000000000009e113 or 3.59999999999999985e181 < j < 2.1e285

   1. Initial program 17.9%

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

   3. Simplified 23.2%

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

   4. Taylor expanded in j around inf 70.0%

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

   if -1.70000000000000009e113 < j < -3.4e20

   1. Initial program 18.1%

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

   3. Simplified 18.1%

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

   4. Taylor expanded in y4 around inf 36.8%

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

   5. Taylor expanded in y1 around inf 55.2%

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

   if -3.4e20 < j < -1.19999999999999996 or -2.4e-204 < j < -2.30000000000000017e-251

   1. Initial program 48.0%

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

   3. Simplified 57.5%

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

   4. Taylor expanded in y around inf 62.6%

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

      1. mul-1-neg 62.6%

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

   6. Simplified 62.6%

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

   if -1.19999999999999996 < j < -2.4e-204

   1. Initial program 39.3%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y1 around inf 65.6%

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

      1. mul-1-neg 65.6%

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

      2. mul-1-neg 65.6%

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

      3. sub-neg 65.6%

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

   6. Simplified 65.6%

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

   if -2.30000000000000017e-251 < j < 3.5499999999999999e-258

   1. Initial program 17.4%

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

   3. Simplified 17.4%

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

   4. Taylor expanded in y2 around inf 61.2%

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

   if 3.5499999999999999e-258 < j < 5.2000000000000003e-213

   1. Initial program 25.0%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in y0 around inf 67.1%

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

      1. mul-1-neg 67.1%

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

   6. Simplified 67.1%

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

   if 5.2000000000000003e-213 < j < 0.070000000000000007 or 2.1e285 < j

   1. Initial program 39.4%

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

   3. Simplified 39.4%

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

   4. Taylor expanded in c around inf 61.0%

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

   if 0.070000000000000007 < j < 2.4e121

   1. Initial program 36.3%

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

   3. Simplified 36.3%

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

   4. Taylor expanded in b around inf 60.0%

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

   if 2.4e121 < j < 3.59999999999999985e181

   1. Initial program 0.8%

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

   3. Simplified 19.0%

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

   4. Taylor expanded in y5 around inf 45.5%

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

      1. mul-1-neg 45.5%

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

      2. mul-1-neg 45.5%

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

      3. mul-1-neg 45.5%

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

      4. sub-neg 45.5%

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

      5. sub-neg 45.5%

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

   6. Simplified 45.5%

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

   7. Taylor expanded in y0 around inf 73.0%

      \[\leadsto \color{blue}{\left(y3 \cdot j - k \cdot y2\right) \cdot \left(y0 \cdot y5\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 63.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.7 \cdot 10^{+113}:\\ \;\;\;\;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(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+20}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq -1.2:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-204}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{-251}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{elif}\;j \leq 3.55 \cdot 10^{-258}:\\ \;\;\;\;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}\;j \leq 5.2 \cdot 10^{-213}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;j \leq 0.07:\\ \;\;\;\;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}\;j \leq 2.4 \cdot 10^{+121}:\\ \;\;\;\;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}\;j \leq 3.6 \cdot 10^{+181}:\\ \;\;\;\;\left(y0 \cdot y5\right) \cdot \left(j \cdot y3 - k \cdot y2\right)\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{+285}:\\ \;\;\;\;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(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;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)\\ \end{array} \]

Alternative 2: 53.6% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Java

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

Python

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

Julia

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

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = (a * b) - (c * i);
	t_3 = (((((t_2 * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * t_1)) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	tmp = 0.0;
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = x * (((y * t_2) + (y2 * t_1)) + (j * ((i * y1) - (b * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(N[(N[(N[(t$95$2 * 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[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, Infinity], t$95$3, N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 2 regimes

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

   1. Initial program 93.9%

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

   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%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in x around inf 36.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]
3. Recombined 2 regimes into one program.

4. Final simplification 53.9%

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

Alternative 3: 39.0% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\\ t_2 := j \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_3 := a \cdot b - c \cdot i\\ t_4 := x \cdot \left(\left(y \cdot t_3 + t_1\right) + t_2\right)\\ t_5 := y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\\ t_6 := y4 \cdot t_5\\ t_7 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + t_5\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;x \leq -7 \cdot 10^{+19}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-133}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-166}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-203}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-302}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-258}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{-238}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-102}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+102}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{+181}:\\ \;\;\;\;x \cdot \left(t_1 + t_2\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{+198}:\\ \;\;\;\;y \cdot \left(x \cdot t_3\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y2 (- (* c y0) (* a y1))))
        (t_2 (* j (- (* i y1) (* b y0))))
        (t_3 (- (* a b) (* c i)))
        (t_4 (* x (+ (+ (* y t_3) t_1) t_2)))
        (t_5 (* y1 (- (* k y2) (* j y3))))
        (t_6 (* y4 t_5))
        (t_7
         (*
          y4
          (+ (+ (* b (- (* t j) (* y k))) t_5) (* c (- (* y y3) (* t y2)))))))
   (if (<= x -7e+19)
     t_4
     (if (<= x -5.2e-133)
       t_7
       (if (<= x -3.5e-166)
         t_6
         (if (<= x -1.4e-203)
           t_4
           (if (<= x 9.5e-302)
             (* y0 (- (* y5 (- (* j y3) (* k y2))) (* b (- (* x j) (* z k)))))
             (if (<= x 6.2e-258)
               (* t (* y5 (- (* a y2) (* i j))))
               (if (<= x 4.1e-238)
                 (* z (* c (- (* t i) (* y0 y3))))
                 (if (<= x 1.9e-102)
                   t_7
                   (if (<= x 1.6e+102)
                     t_6
                     (if (<= x 1.55e+181)
                       (* x (+ t_1 t_2))
                       (if (<= x 7e+198) (* y (* x t_3)) t_4)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((c * y0) - (a * y1));
	double t_2 = j * ((i * y1) - (b * y0));
	double t_3 = (a * b) - (c * i);
	double t_4 = x * (((y * t_3) + t_1) + t_2);
	double t_5 = y1 * ((k * y2) - (j * y3));
	double t_6 = y4 * t_5;
	double t_7 = y4 * (((b * ((t * j) - (y * k))) + t_5) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (x <= -7e+19) {
		tmp = t_4;
	} else if (x <= -5.2e-133) {
		tmp = t_7;
	} else if (x <= -3.5e-166) {
		tmp = t_6;
	} else if (x <= -1.4e-203) {
		tmp = t_4;
	} else if (x <= 9.5e-302) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	} else if (x <= 6.2e-258) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 4.1e-238) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (x <= 1.9e-102) {
		tmp = t_7;
	} else if (x <= 1.6e+102) {
		tmp = t_6;
	} else if (x <= 1.55e+181) {
		tmp = x * (t_1 + t_2);
	} else if (x <= 7e+198) {
		tmp = y * (x * t_3);
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = y2 * ((c * y0) - (a * y1))
    t_2 = j * ((i * y1) - (b * y0))
    t_3 = (a * b) - (c * i)
    t_4 = x * (((y * t_3) + t_1) + t_2)
    t_5 = y1 * ((k * y2) - (j * y3))
    t_6 = y4 * t_5
    t_7 = y4 * (((b * ((t * j) - (y * k))) + t_5) + (c * ((y * y3) - (t * y2))))
    if (x <= (-7d+19)) then
        tmp = t_4
    else if (x <= (-5.2d-133)) then
        tmp = t_7
    else if (x <= (-3.5d-166)) then
        tmp = t_6
    else if (x <= (-1.4d-203)) then
        tmp = t_4
    else if (x <= 9.5d-302) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))))
    else if (x <= 6.2d-258) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (x <= 4.1d-238) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (x <= 1.9d-102) then
        tmp = t_7
    else if (x <= 1.6d+102) then
        tmp = t_6
    else if (x <= 1.55d+181) then
        tmp = x * (t_1 + t_2)
    else if (x <= 7d+198) then
        tmp = y * (x * t_3)
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((c * y0) - (a * y1));
	double t_2 = j * ((i * y1) - (b * y0));
	double t_3 = (a * b) - (c * i);
	double t_4 = x * (((y * t_3) + t_1) + t_2);
	double t_5 = y1 * ((k * y2) - (j * y3));
	double t_6 = y4 * t_5;
	double t_7 = y4 * (((b * ((t * j) - (y * k))) + t_5) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (x <= -7e+19) {
		tmp = t_4;
	} else if (x <= -5.2e-133) {
		tmp = t_7;
	} else if (x <= -3.5e-166) {
		tmp = t_6;
	} else if (x <= -1.4e-203) {
		tmp = t_4;
	} else if (x <= 9.5e-302) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	} else if (x <= 6.2e-258) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 4.1e-238) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (x <= 1.9e-102) {
		tmp = t_7;
	} else if (x <= 1.6e+102) {
		tmp = t_6;
	} else if (x <= 1.55e+181) {
		tmp = x * (t_1 + t_2);
	} else if (x <= 7e+198) {
		tmp = y * (x * t_3);
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * ((c * y0) - (a * y1))
	t_2 = j * ((i * y1) - (b * y0))
	t_3 = (a * b) - (c * i)
	t_4 = x * (((y * t_3) + t_1) + t_2)
	t_5 = y1 * ((k * y2) - (j * y3))
	t_6 = y4 * t_5
	t_7 = y4 * (((b * ((t * j) - (y * k))) + t_5) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if x <= -7e+19:
		tmp = t_4
	elif x <= -5.2e-133:
		tmp = t_7
	elif x <= -3.5e-166:
		tmp = t_6
	elif x <= -1.4e-203:
		tmp = t_4
	elif x <= 9.5e-302:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))))
	elif x <= 6.2e-258:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif x <= 4.1e-238:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif x <= 1.9e-102:
		tmp = t_7
	elif x <= 1.6e+102:
		tmp = t_6
	elif x <= 1.55e+181:
		tmp = x * (t_1 + t_2)
	elif x <= 7e+198:
		tmp = y * (x * t_3)
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))
	t_2 = Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))
	t_3 = Float64(Float64(a * b) - Float64(c * i))
	t_4 = Float64(x * Float64(Float64(Float64(y * t_3) + t_1) + t_2))
	t_5 = Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))
	t_6 = Float64(y4 * t_5)
	t_7 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + t_5) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (x <= -7e+19)
		tmp = t_4;
	elseif (x <= -5.2e-133)
		tmp = t_7;
	elseif (x <= -3.5e-166)
		tmp = t_6;
	elseif (x <= -1.4e-203)
		tmp = t_4;
	elseif (x <= 9.5e-302)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(b * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (x <= 6.2e-258)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (x <= 4.1e-238)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (x <= 1.9e-102)
		tmp = t_7;
	elseif (x <= 1.6e+102)
		tmp = t_6;
	elseif (x <= 1.55e+181)
		tmp = Float64(x * Float64(t_1 + t_2));
	elseif (x <= 7e+198)
		tmp = Float64(y * Float64(x * t_3));
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * ((c * y0) - (a * y1));
	t_2 = j * ((i * y1) - (b * y0));
	t_3 = (a * b) - (c * i);
	t_4 = x * (((y * t_3) + t_1) + t_2);
	t_5 = y1 * ((k * y2) - (j * y3));
	t_6 = y4 * t_5;
	t_7 = y4 * (((b * ((t * j) - (y * k))) + t_5) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (x <= -7e+19)
		tmp = t_4;
	elseif (x <= -5.2e-133)
		tmp = t_7;
	elseif (x <= -3.5e-166)
		tmp = t_6;
	elseif (x <= -1.4e-203)
		tmp = t_4;
	elseif (x <= 9.5e-302)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	elseif (x <= 6.2e-258)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (x <= 4.1e-238)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (x <= 1.9e-102)
		tmp = t_7;
	elseif (x <= 1.6e+102)
		tmp = t_6;
	elseif (x <= 1.55e+181)
		tmp = x * (t_1 + t_2);
	elseif (x <= 7e+198)
		tmp = y * (x * t_3);
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(x * N[(N[(N[(y * t$95$3), $MachinePrecision] + t$95$1), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y4 * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -7e+19], t$95$4, If[LessEqual[x, -5.2e-133], t$95$7, If[LessEqual[x, -3.5e-166], t$95$6, If[LessEqual[x, -1.4e-203], t$95$4, If[LessEqual[x, 9.5e-302], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.2e-258], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.1e-238], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.9e-102], t$95$7, If[LessEqual[x, 1.6e+102], t$95$6, If[LessEqual[x, 1.55e+181], N[(x * N[(t$95$1 + t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7e+198], N[(y * N[(x * t$95$3), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -7e19 or -3.4999999999999999e-166 < x < -1.40000000000000011e-203 or 7.00000000000000026e198 < x

   1. Initial program 26.5%

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

   3. Simplified 26.5%

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

   4. Taylor expanded in x around inf 59.7%

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

   if -7e19 < x < -5.1999999999999999e-133 or 4.1000000000000001e-238 < x < 1.90000000000000013e-102

   1. Initial program 40.1%

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

   3. Simplified 40.1%

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

   4. Taylor expanded in y4 around inf 57.2%

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

   if -5.1999999999999999e-133 < x < -3.4999999999999999e-166 or 1.90000000000000013e-102 < x < 1.6e102

   1. Initial program 19.7%

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

   3. Simplified 19.7%

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

   4. Taylor expanded in y4 around inf 28.6%

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

   5. Taylor expanded in y1 around inf 52.7%

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

   if -1.40000000000000011e-203 < x < 9.49999999999999991e-302

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in y0 around inf 55.2%

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

      1. mul-1-neg 55.2%

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

   6. Simplified 55.2%

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

   7. Taylor expanded in c around 0 60.5%

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

   if 9.49999999999999991e-302 < x < 6.19999999999999997e-258

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y5 around inf 42.9%

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

      1. mul-1-neg 42.9%

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

      2. mul-1-neg 42.9%

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

      3. mul-1-neg 42.9%

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

      4. sub-neg 42.9%

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

      5. sub-neg 42.9%

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

   6. Simplified 42.9%

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

   7. Taylor expanded in t around inf 72.2%

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

   if 6.19999999999999997e-258 < x < 4.1000000000000001e-238

   1. Initial program 51.2%

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

   3. Simplified 51.2%

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

   4. Taylor expanded in c around inf 61.9%

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

   5. Taylor expanded in z around inf 75.5%

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

      1. associate-*r* 63.9%

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

      2. +-commutative 63.9%

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

      3. mul-1-neg 63.9%

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

      4. unsub-neg 63.9%

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

   7. Simplified 63.9%

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

   if 1.6e102 < x < 1.54999999999999995e181

   1. Initial program 37.5%

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

   3. Simplified 37.5%

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

   4. Taylor expanded in x around inf 45.4%

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

   5. Taylor expanded in y around 0 57.4%

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

   if 1.54999999999999995e181 < x < 7.00000000000000026e198

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y around inf 83.4%

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

      1. mul-1-neg 83.4%

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

   6. Simplified 83.4%

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

   7. Taylor expanded in x around inf 66.7%

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

4. Final simplification 58.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -7 \cdot 10^{+19}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-133}:\\ \;\;\;\;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}\;x \leq -3.5 \cdot 10^{-166}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-203}:\\ \;\;\;\;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 9.5 \cdot 10^{-302}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-258}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{-238}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-102}:\\ \;\;\;\;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}\;x \leq 1.6 \cdot 10^{+102}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{+181}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{+198}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 4: 39.1% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := j \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_3\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_5 := t \cdot j - y \cdot k\\ t_6 := y4 \cdot \left(\left(b \cdot t_5 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_7 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_5\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_8 := y2 \cdot t_3\\ t_9 := x \cdot \left(\left(y \cdot t_1 + t_8\right) + t_2\right)\\ \mathbf{if}\;y2 \leq -1.72 \cdot 10^{-13}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-140}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y2 \leq -3.9 \cdot 10^{-159}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -5 \cdot 10^{-275}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y2 \leq 8.2 \cdot 10^{-296}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-282}:\\ \;\;\;\;y \cdot \left(x \cdot t_1\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{-186}:\\ \;\;\;\;x \cdot \left(t_8 + t_2\right)\\ \mathbf{elif}\;y2 \leq 1.02 \cdot 10^{+77}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y2 \leq 1.6 \cdot 10^{+198}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2 (* j (- (* i y1) (* b y0))))
        (t_3 (- (* c y0) (* a y1)))
        (t_4
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_3))
           (* t (- (* a y5) (* c y4))))))
        (t_5 (- (* t j) (* y k)))
        (t_6
         (*
          y4
          (+
           (+ (* b t_5) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2))))))
        (t_7
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_5))
           (* y0 (- (* z k) (* x j))))))
        (t_8 (* y2 t_3))
        (t_9 (* x (+ (+ (* y t_1) t_8) t_2))))
   (if (<= y2 -1.72e-13)
     t_4
     (if (<= y2 -1.15e-72)
       (*
        y
        (*
         x
         (/ (- (* (* a b) (* a b)) (* (* c i) (* c i))) (+ (* a b) (* c i)))))
       (if (<= y2 -5.8e-140)
         t_6
         (if (<= y2 -3.9e-159)
           t_7
           (if (<= y2 -2.2e-254)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= y2 -5e-275)
               t_6
               (if (<= y2 8.2e-296)
                 t_9
                 (if (<= y2 1.2e-282)
                   (* y (* x t_1))
                   (if (<= y2 7.8e-186)
                     (* x (+ t_8 t_2))
                     (if (<= y2 1.02e+77)
                       t_9
                       (if (<= y2 1.6e+198) t_7 t_4)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = j * ((i * y1) - (b * y0));
	double t_3 = (c * y0) - (a * y1);
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	double t_5 = (t * j) - (y * k);
	double t_6 = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + (y0 * ((z * k) - (x * j))));
	double t_8 = y2 * t_3;
	double t_9 = x * (((y * t_1) + t_8) + t_2);
	double tmp;
	if (y2 <= -1.72e-13) {
		tmp = t_4;
	} else if (y2 <= -1.15e-72) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -5.8e-140) {
		tmp = t_6;
	} else if (y2 <= -3.9e-159) {
		tmp = t_7;
	} else if (y2 <= -2.2e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -5e-275) {
		tmp = t_6;
	} else if (y2 <= 8.2e-296) {
		tmp = t_9;
	} else if (y2 <= 1.2e-282) {
		tmp = y * (x * t_1);
	} else if (y2 <= 7.8e-186) {
		tmp = x * (t_8 + t_2);
	} else if (y2 <= 1.02e+77) {
		tmp = t_9;
	} else if (y2 <= 1.6e+198) {
		tmp = t_7;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = j * ((i * y1) - (b * y0))
    t_3 = (c * y0) - (a * y1)
    t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
    t_5 = (t * j) - (y * k)
    t_6 = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + (y0 * ((z * k) - (x * j))))
    t_8 = y2 * t_3
    t_9 = x * (((y * t_1) + t_8) + t_2)
    if (y2 <= (-1.72d-13)) then
        tmp = t_4
    else if (y2 <= (-1.15d-72)) then
        tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
    else if (y2 <= (-5.8d-140)) then
        tmp = t_6
    else if (y2 <= (-3.9d-159)) then
        tmp = t_7
    else if (y2 <= (-2.2d-254)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= (-5d-275)) then
        tmp = t_6
    else if (y2 <= 8.2d-296) then
        tmp = t_9
    else if (y2 <= 1.2d-282) then
        tmp = y * (x * t_1)
    else if (y2 <= 7.8d-186) then
        tmp = x * (t_8 + t_2)
    else if (y2 <= 1.02d+77) then
        tmp = t_9
    else if (y2 <= 1.6d+198) then
        tmp = t_7
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = j * ((i * y1) - (b * y0));
	double t_3 = (c * y0) - (a * y1);
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	double t_5 = (t * j) - (y * k);
	double t_6 = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + (y0 * ((z * k) - (x * j))));
	double t_8 = y2 * t_3;
	double t_9 = x * (((y * t_1) + t_8) + t_2);
	double tmp;
	if (y2 <= -1.72e-13) {
		tmp = t_4;
	} else if (y2 <= -1.15e-72) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -5.8e-140) {
		tmp = t_6;
	} else if (y2 <= -3.9e-159) {
		tmp = t_7;
	} else if (y2 <= -2.2e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -5e-275) {
		tmp = t_6;
	} else if (y2 <= 8.2e-296) {
		tmp = t_9;
	} else if (y2 <= 1.2e-282) {
		tmp = y * (x * t_1);
	} else if (y2 <= 7.8e-186) {
		tmp = x * (t_8 + t_2);
	} else if (y2 <= 1.02e+77) {
		tmp = t_9;
	} else if (y2 <= 1.6e+198) {
		tmp = t_7;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = j * ((i * y1) - (b * y0))
	t_3 = (c * y0) - (a * y1)
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
	t_5 = (t * j) - (y * k)
	t_6 = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + (y0 * ((z * k) - (x * j))))
	t_8 = y2 * t_3
	t_9 = x * (((y * t_1) + t_8) + t_2)
	tmp = 0
	if y2 <= -1.72e-13:
		tmp = t_4
	elif y2 <= -1.15e-72:
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
	elif y2 <= -5.8e-140:
		tmp = t_6
	elif y2 <= -3.9e-159:
		tmp = t_7
	elif y2 <= -2.2e-254:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= -5e-275:
		tmp = t_6
	elif y2 <= 8.2e-296:
		tmp = t_9
	elif y2 <= 1.2e-282:
		tmp = y * (x * t_1)
	elif y2 <= 7.8e-186:
		tmp = x * (t_8 + t_2)
	elif y2 <= 1.02e+77:
		tmp = t_9
	elif y2 <= 1.6e+198:
		tmp = t_7
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = 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)))))
	t_5 = Float64(Float64(t * j) - Float64(y * k))
	t_6 = Float64(y4 * Float64(Float64(Float64(b * t_5) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_7 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_5)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_8 = Float64(y2 * t_3)
	t_9 = Float64(x * Float64(Float64(Float64(y * t_1) + t_8) + t_2))
	tmp = 0.0
	if (y2 <= -1.72e-13)
		tmp = t_4;
	elseif (y2 <= -1.15e-72)
		tmp = Float64(y * Float64(x * Float64(Float64(Float64(Float64(a * b) * Float64(a * b)) - Float64(Float64(c * i) * Float64(c * i))) / Float64(Float64(a * b) + Float64(c * i)))));
	elseif (y2 <= -5.8e-140)
		tmp = t_6;
	elseif (y2 <= -3.9e-159)
		tmp = t_7;
	elseif (y2 <= -2.2e-254)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= -5e-275)
		tmp = t_6;
	elseif (y2 <= 8.2e-296)
		tmp = t_9;
	elseif (y2 <= 1.2e-282)
		tmp = Float64(y * Float64(x * t_1));
	elseif (y2 <= 7.8e-186)
		tmp = Float64(x * Float64(t_8 + t_2));
	elseif (y2 <= 1.02e+77)
		tmp = t_9;
	elseif (y2 <= 1.6e+198)
		tmp = t_7;
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * b) - (c * i);
	t_2 = j * ((i * y1) - (b * y0));
	t_3 = (c * y0) - (a * y1);
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	t_5 = (t * j) - (y * k);
	t_6 = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_5)) + (y0 * ((z * k) - (x * j))));
	t_8 = y2 * t_3;
	t_9 = x * (((y * t_1) + t_8) + t_2);
	tmp = 0.0;
	if (y2 <= -1.72e-13)
		tmp = t_4;
	elseif (y2 <= -1.15e-72)
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	elseif (y2 <= -5.8e-140)
		tmp = t_6;
	elseif (y2 <= -3.9e-159)
		tmp = t_7;
	elseif (y2 <= -2.2e-254)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= -5e-275)
		tmp = t_6;
	elseif (y2 <= 8.2e-296)
		tmp = t_9;
	elseif (y2 <= 1.2e-282)
		tmp = y * (x * t_1);
	elseif (y2 <= 7.8e-186)
		tmp = x * (t_8 + t_2);
	elseif (y2 <= 1.02e+77)
		tmp = t_9;
	elseif (y2 <= 1.6e+198)
		tmp = t_7;
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = 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]}, Block[{t$95$5 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y4 * N[(N[(N[(b * t$95$5), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y2 * t$95$3), $MachinePrecision]}, Block[{t$95$9 = N[(x * N[(N[(N[(y * t$95$1), $MachinePrecision] + t$95$8), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.72e-13], t$95$4, If[LessEqual[y2, -1.15e-72], N[(y * N[(x * N[(N[(N[(N[(a * b), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision] - N[(N[(c * i), $MachinePrecision] * N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[(a * b), $MachinePrecision] + N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.8e-140], t$95$6, If[LessEqual[y2, -3.9e-159], t$95$7, If[LessEqual[y2, -2.2e-254], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5e-275], t$95$6, If[LessEqual[y2, 8.2e-296], t$95$9, If[LessEqual[y2, 1.2e-282], N[(y * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.8e-186], N[(x * N[(t$95$8 + t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.02e+77], t$95$9, If[LessEqual[y2, 1.6e+198], t$95$7, t$95$4]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -1.71999999999999999e-13 or 1.5999999999999999e198 < y2

   1. Initial program 28.5%

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

   3. Simplified 28.5%

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

   4. Taylor expanded in y2 around inf 63.0%

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

   if -1.71999999999999999e-13 < y2 < -1.14999999999999997e-72

   1. Initial program 29.8%

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

   3. Simplified 39.8%

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

   4. Taylor expanded in y around inf 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   7. Taylor expanded in x around inf 70.9%

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

      1. flip-- 80.5%

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

   9. Applied egg-rr 80.5%

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

   if -1.14999999999999997e-72 < y2 < -5.79999999999999995e-140 or -2.2000000000000001e-254 < y2 < -4.99999999999999983e-275

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in y4 around inf 51.5%

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

   if -5.79999999999999995e-140 < y2 < -3.89999999999999977e-159 or 1.02e77 < y2 < 1.5999999999999999e198

   1. Initial program 31.2%

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

   3. Simplified 31.2%

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

   4. Taylor expanded in b around inf 56.5%

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

   if -3.89999999999999977e-159 < y2 < -2.2000000000000001e-254

   1. Initial program 22.2%

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

   3. Simplified 22.2%

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

   4. Taylor expanded in c around inf 56.5%

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

   5. Taylor expanded in z around inf 62.0%

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

      1. associate-*r* 67.3%

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

      2. +-commutative 67.3%

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

      3. mul-1-neg 67.3%

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

      4. unsub-neg 67.3%

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

   7. Simplified 67.3%

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

   if -4.99999999999999983e-275 < y2 < 8.19999999999999988e-296 or 7.8000000000000002e-186 < y2 < 1.02e77

   1. Initial program 32.7%

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

   3. Simplified 32.7%

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

   4. Taylor expanded in x around inf 57.4%

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

   if 8.19999999999999988e-296 < y2 < 1.19999999999999998e-282

   1. Initial program 51.6%

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

   3. Simplified 51.6%

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

   4. Taylor expanded in y around inf 74.7%

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

      1. mul-1-neg 74.7%

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

   6. Simplified 74.7%

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

   7. Taylor expanded in x around inf 75.5%

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

   if 1.19999999999999998e-282 < y2 < 7.8000000000000002e-186

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in x around inf 56.8%

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

   5. Taylor expanded in y around 0 61.9%

      \[\leadsto \color{blue}{\left(\left(c \cdot y0 - y1 \cdot a\right) \cdot y2 - \left(y0 \cdot b - i \cdot y1\right) \cdot j\right) \cdot x} \]
3. Recombined 8 regimes into one program.

4. Final simplification 61.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.72 \cdot 10^{-13}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-140}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -3.9 \cdot 10^{-159}:\\ \;\;\;\;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}\;y2 \leq -2.2 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -5 \cdot 10^{-275}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 8.2 \cdot 10^{-296}:\\ \;\;\;\;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}\;y2 \leq 1.2 \cdot 10^{-282}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{-186}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.02 \cdot 10^{+77}:\\ \;\;\;\;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}\;y2 \leq 1.6 \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{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]

Alternative 5: 41.6% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := k \cdot y2 - j \cdot y3\\ t_3 := y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\\ t_4 := y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + t_3\right)\\ t_5 := c \cdot y0 - a \cdot y1\\ t_6 := c \cdot y4 - a \cdot y5\\ t_7 := x \cdot \left(\left(y \cdot t_1 + y2 \cdot t_5\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_8 := y1 \cdot y4 - y0 \cdot y5\\ t_9 := b \cdot \left(t \cdot j - y \cdot k\right)\\ t_10 := y4 \cdot t_9 + \left(t_8 \cdot t_2 - \left(t \cdot y2 - y \cdot y3\right) \cdot t_6\right)\\ \mathbf{if}\;x \leq -9 \cdot 10^{+132}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -4.7:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t_8 + x \cdot t_5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -1.05 \cdot 10^{-105}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq -1.3 \cdot 10^{-197}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -2.5 \cdot 10^{-289}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-292}:\\ \;\;\;\;y0 \cdot t_3\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{-159}:\\ \;\;\;\;y4 \cdot \left(\left(t_9 + y1 \cdot t_2\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+149}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{+201}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot t_1 + y3 \cdot t_6\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \end{array} \]

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 (- (* k y2) (* j y3)))
        (t_3 (- (* y5 (- (* j y3) (* k y2))) (* b (- (* x j) (* z k)))))
        (t_4 (* y0 (+ (* c (- (* x y2) (* z y3))) t_3)))
        (t_5 (- (* c y0) (* a y1)))
        (t_6 (- (* c y4) (* a y5)))
        (t_7 (* x (+ (+ (* y t_1) (* y2 t_5)) (* j (- (* i y1) (* b y0))))))
        (t_8 (- (* y1 y4) (* y0 y5)))
        (t_9 (* b (- (* t j) (* y k))))
        (t_10 (+ (* y4 t_9) (- (* t_8 t_2) (* (- (* t y2) (* y y3)) t_6)))))
   (if (<= x -9e+132)
     t_7
     (if (<= x -4.7)
       (* y2 (+ (+ (* k t_8) (* x t_5)) (* t (- (* a y5) (* c y4)))))
       (if (<= x -1.05e-105)
         t_10
         (if (<= x -1.3e-197)
           t_4
           (if (<= x -2.5e-289)
             t_10
             (if (<= x 7.2e-292)
               (* y0 t_3)
               (if (<= x 4.3e-159)
                 (* y4 (+ (+ t_9 (* y1 t_2)) (* c (- (* y y3) (* t y2)))))
                 (if (<= x 9.5e+79)
                   t_4
                   (if (<= x 7.2e+149)
                     (* c (* y2 (- (* x y0) (* t y4))))
                     (if (<= x 4.2e+201)
                       (*
                        y
                        (+
                         (* k (- (* i y5) (* b y4)))
                         (+ (* x t_1) (* y3 t_6))))
                       t_7))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = (k * y2) - (j * y3);
	double t_3 = (y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)));
	double t_4 = y0 * ((c * ((x * y2) - (z * y3))) + t_3);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = (c * y4) - (a * y5);
	double t_7 = x * (((y * t_1) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))));
	double t_8 = (y1 * y4) - (y0 * y5);
	double t_9 = b * ((t * j) - (y * k));
	double t_10 = (y4 * t_9) + ((t_8 * t_2) - (((t * y2) - (y * y3)) * t_6));
	double tmp;
	if (x <= -9e+132) {
		tmp = t_7;
	} else if (x <= -4.7) {
		tmp = y2 * (((k * t_8) + (x * t_5)) + (t * ((a * y5) - (c * y4))));
	} else if (x <= -1.05e-105) {
		tmp = t_10;
	} else if (x <= -1.3e-197) {
		tmp = t_4;
	} else if (x <= -2.5e-289) {
		tmp = t_10;
	} else if (x <= 7.2e-292) {
		tmp = y0 * t_3;
	} else if (x <= 4.3e-159) {
		tmp = y4 * ((t_9 + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 9.5e+79) {
		tmp = t_4;
	} else if (x <= 7.2e+149) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (x <= 4.2e+201) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * t_6)));
	} else {
		tmp = t_7;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = (k * y2) - (j * y3)
    t_3 = (y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))
    t_4 = y0 * ((c * ((x * y2) - (z * y3))) + t_3)
    t_5 = (c * y0) - (a * y1)
    t_6 = (c * y4) - (a * y5)
    t_7 = x * (((y * t_1) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))))
    t_8 = (y1 * y4) - (y0 * y5)
    t_9 = b * ((t * j) - (y * k))
    t_10 = (y4 * t_9) + ((t_8 * t_2) - (((t * y2) - (y * y3)) * t_6))
    if (x <= (-9d+132)) then
        tmp = t_7
    else if (x <= (-4.7d0)) then
        tmp = y2 * (((k * t_8) + (x * t_5)) + (t * ((a * y5) - (c * y4))))
    else if (x <= (-1.05d-105)) then
        tmp = t_10
    else if (x <= (-1.3d-197)) then
        tmp = t_4
    else if (x <= (-2.5d-289)) then
        tmp = t_10
    else if (x <= 7.2d-292) then
        tmp = y0 * t_3
    else if (x <= 4.3d-159) then
        tmp = y4 * ((t_9 + (y1 * t_2)) + (c * ((y * y3) - (t * y2))))
    else if (x <= 9.5d+79) then
        tmp = t_4
    else if (x <= 7.2d+149) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (x <= 4.2d+201) then
        tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * t_6)))
    else
        tmp = t_7
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = (k * y2) - (j * y3);
	double t_3 = (y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)));
	double t_4 = y0 * ((c * ((x * y2) - (z * y3))) + t_3);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = (c * y4) - (a * y5);
	double t_7 = x * (((y * t_1) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))));
	double t_8 = (y1 * y4) - (y0 * y5);
	double t_9 = b * ((t * j) - (y * k));
	double t_10 = (y4 * t_9) + ((t_8 * t_2) - (((t * y2) - (y * y3)) * t_6));
	double tmp;
	if (x <= -9e+132) {
		tmp = t_7;
	} else if (x <= -4.7) {
		tmp = y2 * (((k * t_8) + (x * t_5)) + (t * ((a * y5) - (c * y4))));
	} else if (x <= -1.05e-105) {
		tmp = t_10;
	} else if (x <= -1.3e-197) {
		tmp = t_4;
	} else if (x <= -2.5e-289) {
		tmp = t_10;
	} else if (x <= 7.2e-292) {
		tmp = y0 * t_3;
	} else if (x <= 4.3e-159) {
		tmp = y4 * ((t_9 + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 9.5e+79) {
		tmp = t_4;
	} else if (x <= 7.2e+149) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (x <= 4.2e+201) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * t_6)));
	} else {
		tmp = t_7;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = (k * y2) - (j * y3)
	t_3 = (y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))
	t_4 = y0 * ((c * ((x * y2) - (z * y3))) + t_3)
	t_5 = (c * y0) - (a * y1)
	t_6 = (c * y4) - (a * y5)
	t_7 = x * (((y * t_1) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))))
	t_8 = (y1 * y4) - (y0 * y5)
	t_9 = b * ((t * j) - (y * k))
	t_10 = (y4 * t_9) + ((t_8 * t_2) - (((t * y2) - (y * y3)) * t_6))
	tmp = 0
	if x <= -9e+132:
		tmp = t_7
	elif x <= -4.7:
		tmp = y2 * (((k * t_8) + (x * t_5)) + (t * ((a * y5) - (c * y4))))
	elif x <= -1.05e-105:
		tmp = t_10
	elif x <= -1.3e-197:
		tmp = t_4
	elif x <= -2.5e-289:
		tmp = t_10
	elif x <= 7.2e-292:
		tmp = y0 * t_3
	elif x <= 4.3e-159:
		tmp = y4 * ((t_9 + (y1 * t_2)) + (c * ((y * y3) - (t * y2))))
	elif x <= 9.5e+79:
		tmp = t_4
	elif x <= 7.2e+149:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif x <= 4.2e+201:
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * t_6)))
	else:
		tmp = t_7
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(Float64(k * y2) - Float64(j * y3))
	t_3 = Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(b * Float64(Float64(x * j) - Float64(z * k))))
	t_4 = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + t_3))
	t_5 = Float64(Float64(c * y0) - Float64(a * y1))
	t_6 = Float64(Float64(c * y4) - Float64(a * y5))
	t_7 = Float64(x * Float64(Float64(Float64(y * t_1) + Float64(y2 * t_5)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_8 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_9 = Float64(b * Float64(Float64(t * j) - Float64(y * k)))
	t_10 = Float64(Float64(y4 * t_9) + Float64(Float64(t_8 * t_2) - Float64(Float64(Float64(t * y2) - Float64(y * y3)) * t_6)))
	tmp = 0.0
	if (x <= -9e+132)
		tmp = t_7;
	elseif (x <= -4.7)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_8) + Float64(x * t_5)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (x <= -1.05e-105)
		tmp = t_10;
	elseif (x <= -1.3e-197)
		tmp = t_4;
	elseif (x <= -2.5e-289)
		tmp = t_10;
	elseif (x <= 7.2e-292)
		tmp = Float64(y0 * t_3);
	elseif (x <= 4.3e-159)
		tmp = Float64(y4 * Float64(Float64(t_9 + Float64(y1 * t_2)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (x <= 9.5e+79)
		tmp = t_4;
	elseif (x <= 7.2e+149)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (x <= 4.2e+201)
		tmp = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * t_1) + Float64(y3 * t_6))));
	else
		tmp = t_7;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * b) - (c * i);
	t_2 = (k * y2) - (j * y3);
	t_3 = (y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)));
	t_4 = y0 * ((c * ((x * y2) - (z * y3))) + t_3);
	t_5 = (c * y0) - (a * y1);
	t_6 = (c * y4) - (a * y5);
	t_7 = x * (((y * t_1) + (y2 * t_5)) + (j * ((i * y1) - (b * y0))));
	t_8 = (y1 * y4) - (y0 * y5);
	t_9 = b * ((t * j) - (y * k));
	t_10 = (y4 * t_9) + ((t_8 * t_2) - (((t * y2) - (y * y3)) * t_6));
	tmp = 0.0;
	if (x <= -9e+132)
		tmp = t_7;
	elseif (x <= -4.7)
		tmp = y2 * (((k * t_8) + (x * t_5)) + (t * ((a * y5) - (c * y4))));
	elseif (x <= -1.05e-105)
		tmp = t_10;
	elseif (x <= -1.3e-197)
		tmp = t_4;
	elseif (x <= -2.5e-289)
		tmp = t_10;
	elseif (x <= 7.2e-292)
		tmp = y0 * t_3;
	elseif (x <= 4.3e-159)
		tmp = y4 * ((t_9 + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	elseif (x <= 9.5e+79)
		tmp = t_4;
	elseif (x <= 7.2e+149)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (x <= 4.2e+201)
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * t_6)));
	else
		tmp = t_7;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(x * N[(N[(N[(y * t$95$1), $MachinePrecision] + N[(y2 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(y4 * t$95$9), $MachinePrecision] + N[(N[(t$95$8 * t$95$2), $MachinePrecision] - N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -9e+132], t$95$7, If[LessEqual[x, -4.7], N[(y2 * N[(N[(N[(k * t$95$8), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.05e-105], t$95$10, If[LessEqual[x, -1.3e-197], t$95$4, If[LessEqual[x, -2.5e-289], t$95$10, If[LessEqual[x, 7.2e-292], N[(y0 * t$95$3), $MachinePrecision], If[LessEqual[x, 4.3e-159], N[(y4 * N[(N[(t$95$9 + N[(y1 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 9.5e+79], t$95$4, If[LessEqual[x, 7.2e+149], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.2e+201], N[(y * N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x * t$95$1), $MachinePrecision] + N[(y3 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$7]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -8.99999999999999944e132 or 4.1999999999999998e201 < x

   1. Initial program 18.7%

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

   3. Simplified 18.7%

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

   4. Taylor expanded in x around inf 65.8%

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

   if -8.99999999999999944e132 < x < -4.70000000000000018

   1. Initial program 30.7%

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

   3. Simplified 30.7%

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

   4. Taylor expanded in y2 around inf 62.7%

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

   if -4.70000000000000018 < x < -1.05e-105 or -1.3000000000000001e-197 < x < -2.50000000000000014e-289

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y4 around inf 65.8%

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

   if -1.05e-105 < x < -1.3000000000000001e-197 or 4.3e-159 < x < 9.49999999999999994e79

   1. Initial program 25.4%

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

   3. Simplified 31.8%

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

   4. Taylor expanded in y0 around inf 54.9%

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

      1. mul-1-neg 54.9%

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

   6. Simplified 54.9%

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

   if -2.50000000000000014e-289 < x < 7.2000000000000004e-292

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y0 around inf 75.0%

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

      1. mul-1-neg 75.0%

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

   6. Simplified 75.0%

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

   7. Taylor expanded in c around 0 75.1%

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

   if 7.2000000000000004e-292 < x < 4.3e-159

   1. Initial program 37.7%

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

   3. Simplified 37.7%

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

   4. Taylor expanded in y4 around inf 52.7%

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

   if 9.49999999999999994e79 < x < 7.1999999999999999e149

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in c around inf 23.8%

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

   5. Taylor expanded in y2 around inf 69.6%

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

   if 7.1999999999999999e149 < x < 4.1999999999999998e201

   1. Initial program 26.7%

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

   3. Simplified 26.7%

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

   4. Taylor expanded in y around inf 73.3%

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

      1. mul-1-neg 73.3%

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

   6. Simplified 73.3%

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

4. Final simplification 62.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -9 \cdot 10^{+132}:\\ \;\;\;\;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 -4.7:\\ \;\;\;\;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}\;x \leq -1.05 \cdot 10^{-105}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.3 \cdot 10^{-197}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;x \leq -2.5 \cdot 10^{-289}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-292}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{-159}:\\ \;\;\;\;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}\;x \leq 9.5 \cdot 10^{+79}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+149}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{+201}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\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} \]

Alternative 6: 37.2% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t_2\right)\right)\\ t_4 := c \cdot y0 - a \cdot y1\\ t_5 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_4\right) + t \cdot t_2\right)\\ t_6 := t \cdot j - y \cdot k\\ \mathbf{if}\;y2 \leq -1.05 \cdot 10^{+224}:\\ \;\;\;\;y4 \cdot t_1\\ \mathbf{elif}\;y2 \leq -1.25 \cdot 10^{+125}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-13}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y2 \leq -1.55 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -5.4 \cdot 10^{-127}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_6 + t_1\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.22 \cdot 10^{-169}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_6\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -3.5 \cdot 10^{-273}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{+51}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_4\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 8.5 \cdot 10^{+154}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+211}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y1 (- (* k y2) (* j y3))))
        (t_2 (- (* a y5) (* c y4)))
        (t_3
         (*
          t
          (+
           (* z (- (* c i) (* a b)))
           (+ (* j (- (* b y4) (* i y5))) (* y2 t_2)))))
        (t_4 (- (* c y0) (* a y1)))
        (t_5 (* y2 (+ (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_4)) (* t t_2))))
        (t_6 (- (* t j) (* y k))))
   (if (<= y2 -1.05e+224)
     (* y4 t_1)
     (if (<= y2 -1.25e+125)
       t_3
       (if (<= y2 -5.8e-13)
         t_5
         (if (<= y2 -1.55e-71)
           (*
            y
            (*
             x
             (/
              (- (* (* a b) (* a b)) (* (* c i) (* c i)))
              (+ (* a b) (* c i)))))
           (if (<= y2 -5.4e-127)
             (* y4 (+ (+ (* b t_6) t_1) (* c (- (* y y3) (* t y2)))))
             (if (<= y2 -1.22e-169)
               (*
                b
                (+
                 (+ (* a (- (* x y) (* z t))) (* y4 t_6))
                 (* y0 (- (* z k) (* x j)))))
               (if (<= y2 -3.5e-273)
                 (* z (* c (- (* t i) (* y0 y3))))
                 (if (<= y2 1.25e+51)
                   (*
                    x
                    (+
                     (+ (* y (- (* a b) (* c i))) (* y2 t_4))
                     (* j (- (* i y1) (* b y0)))))
                   (if (<= y2 8.5e+154)
                     (* (* k y4) (- (* y1 y2) (* y b)))
                     (if (<= y2 2.1e+211) t_3 t_5))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y1 * ((k * y2) - (j * y3));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)));
	double t_4 = (c * y0) - (a * y1);
	double t_5 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_2));
	double t_6 = (t * j) - (y * k);
	double tmp;
	if (y2 <= -1.05e+224) {
		tmp = y4 * t_1;
	} else if (y2 <= -1.25e+125) {
		tmp = t_3;
	} else if (y2 <= -5.8e-13) {
		tmp = t_5;
	} else if (y2 <= -1.55e-71) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -5.4e-127) {
		tmp = y4 * (((b * t_6) + t_1) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= -1.22e-169) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * ((z * k) - (x * j))));
	} else if (y2 <= -3.5e-273) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.25e+51) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 8.5e+154) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if (y2 <= 2.1e+211) {
		tmp = t_3;
	} else {
		tmp = t_5;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = y1 * ((k * y2) - (j * y3))
    t_2 = (a * y5) - (c * y4)
    t_3 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)))
    t_4 = (c * y0) - (a * y1)
    t_5 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_2))
    t_6 = (t * j) - (y * k)
    if (y2 <= (-1.05d+224)) then
        tmp = y4 * t_1
    else if (y2 <= (-1.25d+125)) then
        tmp = t_3
    else if (y2 <= (-5.8d-13)) then
        tmp = t_5
    else if (y2 <= (-1.55d-71)) then
        tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
    else if (y2 <= (-5.4d-127)) then
        tmp = y4 * (((b * t_6) + t_1) + (c * ((y * y3) - (t * y2))))
    else if (y2 <= (-1.22d-169)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * ((z * k) - (x * j))))
    else if (y2 <= (-3.5d-273)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.25d+51) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 8.5d+154) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if (y2 <= 2.1d+211) then
        tmp = t_3
    else
        tmp = t_5
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y1 * ((k * y2) - (j * y3));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)));
	double t_4 = (c * y0) - (a * y1);
	double t_5 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_2));
	double t_6 = (t * j) - (y * k);
	double tmp;
	if (y2 <= -1.05e+224) {
		tmp = y4 * t_1;
	} else if (y2 <= -1.25e+125) {
		tmp = t_3;
	} else if (y2 <= -5.8e-13) {
		tmp = t_5;
	} else if (y2 <= -1.55e-71) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -5.4e-127) {
		tmp = y4 * (((b * t_6) + t_1) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= -1.22e-169) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * ((z * k) - (x * j))));
	} else if (y2 <= -3.5e-273) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.25e+51) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 8.5e+154) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if (y2 <= 2.1e+211) {
		tmp = t_3;
	} else {
		tmp = t_5;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y1 * ((k * y2) - (j * y3))
	t_2 = (a * y5) - (c * y4)
	t_3 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)))
	t_4 = (c * y0) - (a * y1)
	t_5 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_2))
	t_6 = (t * j) - (y * k)
	tmp = 0
	if y2 <= -1.05e+224:
		tmp = y4 * t_1
	elif y2 <= -1.25e+125:
		tmp = t_3
	elif y2 <= -5.8e-13:
		tmp = t_5
	elif y2 <= -1.55e-71:
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
	elif y2 <= -5.4e-127:
		tmp = y4 * (((b * t_6) + t_1) + (c * ((y * y3) - (t * y2))))
	elif y2 <= -1.22e-169:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * ((z * k) - (x * j))))
	elif y2 <= -3.5e-273:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.25e+51:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 8.5e+154:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif y2 <= 2.1e+211:
		tmp = t_3
	else:
		tmp = t_5
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(Float64(j * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y2 * t_2))))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	t_5 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_4)) + Float64(t * t_2)))
	t_6 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (y2 <= -1.05e+224)
		tmp = Float64(y4 * t_1);
	elseif (y2 <= -1.25e+125)
		tmp = t_3;
	elseif (y2 <= -5.8e-13)
		tmp = t_5;
	elseif (y2 <= -1.55e-71)
		tmp = Float64(y * Float64(x * Float64(Float64(Float64(Float64(a * b) * Float64(a * b)) - Float64(Float64(c * i) * Float64(c * i))) / Float64(Float64(a * b) + Float64(c * i)))));
	elseif (y2 <= -5.4e-127)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_6) + t_1) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y2 <= -1.22e-169)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_6)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y2 <= -3.5e-273)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.25e+51)
		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 (y2 <= 8.5e+154)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif (y2 <= 2.1e+211)
		tmp = t_3;
	else
		tmp = t_5;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y1 * ((k * y2) - (j * y3));
	t_2 = (a * y5) - (c * y4);
	t_3 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)));
	t_4 = (c * y0) - (a * y1);
	t_5 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_2));
	t_6 = (t * j) - (y * k);
	tmp = 0.0;
	if (y2 <= -1.05e+224)
		tmp = y4 * t_1;
	elseif (y2 <= -1.25e+125)
		tmp = t_3;
	elseif (y2 <= -5.8e-13)
		tmp = t_5;
	elseif (y2 <= -1.55e-71)
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	elseif (y2 <= -5.4e-127)
		tmp = y4 * (((b * t_6) + t_1) + (c * ((y * y3) - (t * y2))));
	elseif (y2 <= -1.22e-169)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * ((z * k) - (x * j))));
	elseif (y2 <= -3.5e-273)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.25e+51)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 8.5e+154)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif (y2 <= 2.1e+211)
		tmp = t_3;
	else
		tmp = t_5;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * 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[(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 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.05e+224], N[(y4 * t$95$1), $MachinePrecision], If[LessEqual[y2, -1.25e+125], t$95$3, If[LessEqual[y2, -5.8e-13], t$95$5, If[LessEqual[y2, -1.55e-71], N[(y * N[(x * N[(N[(N[(N[(a * b), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision] - N[(N[(c * i), $MachinePrecision] * N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[(a * b), $MachinePrecision] + N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.4e-127], N[(y4 * N[(N[(N[(b * t$95$6), $MachinePrecision] + t$95$1), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.22e-169], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.5e-273], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.25e+51], 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[y2, 8.5e+154], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.1e+211], t$95$3, t$95$5]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -1.0500000000000001e224

   1. Initial program 9.5%

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

   3. Simplified 9.5%

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

   4. Taylor expanded in y4 around inf 28.6%

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

   5. Taylor expanded in y1 around inf 71.6%

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

   if -1.0500000000000001e224 < y2 < -1.24999999999999991e125 or 8.5000000000000002e154 < y2 < 2.1e211

   1. Initial program 26.6%

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

   3. Simplified 26.6%

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

   4. Taylor expanded in t around inf 67.2%

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

      1. associate--l+ 67.2%

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

      2. mul-1-neg 67.2%

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

   6. Simplified 67.2%

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

   if -1.24999999999999991e125 < y2 < -5.7999999999999995e-13 or 2.1e211 < y2

   1. Initial program 37.4%

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

   3. Simplified 37.4%

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

   4. Taylor expanded in y2 around inf 68.2%

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

   if -5.7999999999999995e-13 < y2 < -1.55000000000000001e-71

   1. Initial program 29.8%

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

   3. Simplified 39.8%

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

   4. Taylor expanded in y around inf 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   7. Taylor expanded in x around inf 70.9%

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

      1. flip-- 80.5%

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

   9. Applied egg-rr 80.5%

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

   if -1.55000000000000001e-71 < y2 < -5.3999999999999999e-127

   1. Initial program 22.1%

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

   3. Simplified 22.1%

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

   4. Taylor expanded in y4 around inf 51.8%

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

   if -5.3999999999999999e-127 < y2 < -1.22e-169

   1. Initial program 62.5%

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

   3. Simplified 62.5%

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

   4. Taylor expanded in b around inf 75.2%

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

   if -1.22e-169 < y2 < -3.49999999999999992e-273

   1. Initial program 13.6%

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

   3. Simplified 13.6%

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

   4. Taylor expanded in c around inf 46.3%

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

   5. Taylor expanded in z around inf 50.8%

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

      1. associate-*r* 55.1%

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

      2. +-commutative 55.1%

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

      3. mul-1-neg 55.1%

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

      4. unsub-neg 55.1%

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

   7. Simplified 55.1%

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

   if -3.49999999999999992e-273 < y2 < 1.25e51

   1. Initial program 34.4%

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

   3. Simplified 34.4%

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

   4. Taylor expanded in x around inf 53.9%

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

   if 1.25e51 < y2 < 8.5000000000000002e154

   1. Initial program 12.5%

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

   3. Simplified 12.5%

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

   4. Taylor expanded in y4 around inf 50.2%

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

   5. Taylor expanded in k around inf 57.2%

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

      1. associate-*r* 63.0%

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

      2. *-commutative 63.0%

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

      3. +-commutative 63.0%

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

      4. mul-1-neg 63.0%

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

      5. unsub-neg 63.0%

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

      6. *-commutative 63.0%

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

   7. Simplified 63.0%

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

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.05 \cdot 10^{+224}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.25 \cdot 10^{+125}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-13}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.55 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -5.4 \cdot 10^{-127}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.22 \cdot 10^{-169}:\\ \;\;\;\;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}\;y2 \leq -3.5 \cdot 10^{-273}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{+51}:\\ \;\;\;\;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}\;y2 \leq 8.5 \cdot 10^{+154}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+211}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]

Alternative 7: 41.5% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := a \cdot b - c \cdot i\\ t_3 := x \cdot \left(\left(y \cdot t_2 + y2 \cdot t_1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := t \cdot j - y \cdot k\\ t_5 := y4 \cdot \left(\left(b \cdot t_4 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_6 := y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{if}\;x \leq -1.02 \cdot 10^{+133}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -0.0106:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -1.95 \cdot 10^{-60}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_4\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -5.1 \cdot 10^{-104}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-132}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-292}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-121}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{+80}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+147}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{+201}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot t_2 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (- (* a b) (* c i)))
        (t_3 (* x (+ (+ (* y t_2) (* y2 t_1)) (* j (- (* i y1) (* b y0))))))
        (t_4 (- (* t j) (* y k)))
        (t_5
         (*
          y4
          (+
           (+ (* b t_4) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2))))))
        (t_6
         (*
          y0
          (+
           (* c (- (* x y2) (* z y3)))
           (- (* y5 (- (* j y3) (* k y2))) (* b (- (* x j) (* z k))))))))
   (if (<= x -1.02e+133)
     t_3
     (if (<= x -0.0106)
       (*
        y2
        (+
         (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))
         (* t (- (* a y5) (* c y4)))))
       (if (<= x -1.95e-60)
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_4))
           (* y0 (- (* z k) (* x j)))))
         (if (<= x -5.1e-104)
           (* t (* y5 (- (* a y2) (* i j))))
           (if (<= x -6.2e-132)
             t_5
             (if (<= x 5.5e-292)
               t_6
               (if (<= x 4e-121)
                 t_5
                 (if (<= x 1.7e+80)
                   t_6
                   (if (<= x 9.5e+147)
                     (* c (* y2 (- (* x y0) (* t y4))))
                     (if (<= x 4.2e+201)
                       (*
                        y
                        (+
                         (* k (- (* i y5) (* b y4)))
                         (+ (* x t_2) (* y3 (- (* c y4) (* a y5))))))
                       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 = (c * y0) - (a * y1);
	double t_2 = (a * b) - (c * i);
	double t_3 = x * (((y * t_2) + (y2 * t_1)) + (j * ((i * y1) - (b * y0))));
	double t_4 = (t * j) - (y * k);
	double t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_6 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))));
	double tmp;
	if (x <= -1.02e+133) {
		tmp = t_3;
	} else if (x <= -0.0106) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	} else if (x <= -1.95e-60) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (x <= -5.1e-104) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= -6.2e-132) {
		tmp = t_5;
	} else if (x <= 5.5e-292) {
		tmp = t_6;
	} else if (x <= 4e-121) {
		tmp = t_5;
	} else if (x <= 1.7e+80) {
		tmp = t_6;
	} else if (x <= 9.5e+147) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (x <= 4.2e+201) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_2) + (y3 * ((c * y4) - (a * y5)))));
	} 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) :: t_6
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = (a * b) - (c * i)
    t_3 = x * (((y * t_2) + (y2 * t_1)) + (j * ((i * y1) - (b * y0))))
    t_4 = (t * j) - (y * k)
    t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    t_6 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))))
    if (x <= (-1.02d+133)) then
        tmp = t_3
    else if (x <= (-0.0106d0)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))))
    else if (x <= (-1.95d-60)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
    else if (x <= (-5.1d-104)) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (x <= (-6.2d-132)) then
        tmp = t_5
    else if (x <= 5.5d-292) then
        tmp = t_6
    else if (x <= 4d-121) then
        tmp = t_5
    else if (x <= 1.7d+80) then
        tmp = t_6
    else if (x <= 9.5d+147) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (x <= 4.2d+201) then
        tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_2) + (y3 * ((c * y4) - (a * y5)))))
    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 = (c * y0) - (a * y1);
	double t_2 = (a * b) - (c * i);
	double t_3 = x * (((y * t_2) + (y2 * t_1)) + (j * ((i * y1) - (b * y0))));
	double t_4 = (t * j) - (y * k);
	double t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_6 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))));
	double tmp;
	if (x <= -1.02e+133) {
		tmp = t_3;
	} else if (x <= -0.0106) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	} else if (x <= -1.95e-60) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (x <= -5.1e-104) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= -6.2e-132) {
		tmp = t_5;
	} else if (x <= 5.5e-292) {
		tmp = t_6;
	} else if (x <= 4e-121) {
		tmp = t_5;
	} else if (x <= 1.7e+80) {
		tmp = t_6;
	} else if (x <= 9.5e+147) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (x <= 4.2e+201) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_2) + (y3 * ((c * y4) - (a * y5)))));
	} 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 = (c * y0) - (a * y1)
	t_2 = (a * b) - (c * i)
	t_3 = x * (((y * t_2) + (y2 * t_1)) + (j * ((i * y1) - (b * y0))))
	t_4 = (t * j) - (y * k)
	t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	t_6 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))))
	tmp = 0
	if x <= -1.02e+133:
		tmp = t_3
	elif x <= -0.0106:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))))
	elif x <= -1.95e-60:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
	elif x <= -5.1e-104:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif x <= -6.2e-132:
		tmp = t_5
	elif x <= 5.5e-292:
		tmp = t_6
	elif x <= 4e-121:
		tmp = t_5
	elif x <= 1.7e+80:
		tmp = t_6
	elif x <= 9.5e+147:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif x <= 4.2e+201:
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_2) + (y3 * ((c * y4) - (a * y5)))))
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * t_1)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_4 = Float64(Float64(t * j) - Float64(y * k))
	t_5 = Float64(y4 * Float64(Float64(Float64(b * t_4) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_6 = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(b * Float64(Float64(x * j) - Float64(z * k))))))
	tmp = 0.0
	if (x <= -1.02e+133)
		tmp = t_3;
	elseif (x <= -0.0106)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (x <= -1.95e-60)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_4)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (x <= -5.1e-104)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (x <= -6.2e-132)
		tmp = t_5;
	elseif (x <= 5.5e-292)
		tmp = t_6;
	elseif (x <= 4e-121)
		tmp = t_5;
	elseif (x <= 1.7e+80)
		tmp = t_6;
	elseif (x <= 9.5e+147)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (x <= 4.2e+201)
		tmp = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * t_2) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))));
	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 = (c * y0) - (a * y1);
	t_2 = (a * b) - (c * i);
	t_3 = x * (((y * t_2) + (y2 * t_1)) + (j * ((i * y1) - (b * y0))));
	t_4 = (t * j) - (y * k);
	t_5 = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	t_6 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k)))));
	tmp = 0.0;
	if (x <= -1.02e+133)
		tmp = t_3;
	elseif (x <= -0.0106)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	elseif (x <= -1.95e-60)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	elseif (x <= -5.1e-104)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (x <= -6.2e-132)
		tmp = t_5;
	elseif (x <= 5.5e-292)
		tmp = t_6;
	elseif (x <= 4e-121)
		tmp = t_5;
	elseif (x <= 1.7e+80)
		tmp = t_6;
	elseif (x <= 9.5e+147)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (x <= 4.2e+201)
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_2) + (y3 * ((c * y4) - (a * y5)))));
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(N[(b * t$95$4), $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$6 = N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.02e+133], t$95$3, If[LessEqual[x, -0.0106], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.95e-60], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.1e-104], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -6.2e-132], t$95$5, If[LessEqual[x, 5.5e-292], t$95$6, If[LessEqual[x, 4e-121], t$95$5, If[LessEqual[x, 1.7e+80], t$95$6, If[LessEqual[x, 9.5e+147], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.2e+201], N[(y * N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x * t$95$2), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -1.02e133 or 4.1999999999999998e201 < x

   1. Initial program 18.7%

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

   3. Simplified 18.7%

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

   4. Taylor expanded in x around inf 65.8%

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

   if -1.02e133 < x < -0.0106

   1. Initial program 33.3%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in y2 around inf 60.4%

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

   if -0.0106 < x < -1.9500000000000001e-60

   1. Initial program 45.5%

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

   3. Simplified 45.5%

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

   4. Taylor expanded in b around inf 73.3%

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

   if -1.9500000000000001e-60 < x < -5.09999999999999992e-104

   1. Initial program 44.4%

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

   3. Simplified 44.4%

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

   4. Taylor expanded in y5 around inf 22.6%

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

      1. mul-1-neg 22.6%

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

      2. mul-1-neg 22.6%

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

      3. mul-1-neg 22.6%

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

      4. sub-neg 22.6%

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

      5. sub-neg 22.6%

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

   6. Simplified 22.6%

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

   7. Taylor expanded in t around inf 67.3%

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

   if -5.09999999999999992e-104 < x < -6.20000000000000016e-132 or 5.50000000000000006e-292 < x < 3.9999999999999999e-121

   1. Initial program 34.7%

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

   3. Simplified 34.7%

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

   4. Taylor expanded in y4 around inf 61.2%

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

   if -6.20000000000000016e-132 < x < 5.50000000000000006e-292 or 3.9999999999999999e-121 < x < 1.69999999999999996e80

   1. Initial program 29.1%

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

   3. Simplified 34.2%

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

   4. Taylor expanded in y0 around inf 53.9%

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

      1. mul-1-neg 53.9%

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

   6. Simplified 53.9%

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

   if 1.69999999999999996e80 < x < 9.4999999999999996e147

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in c around inf 23.8%

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

   5. Taylor expanded in y2 around inf 69.6%

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

   if 9.4999999999999996e147 < x < 4.1999999999999998e201

   1. Initial program 26.7%

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

   3. Simplified 26.7%

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

   4. Taylor expanded in y around inf 73.3%

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

      1. mul-1-neg 73.3%

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

   6. Simplified 73.3%

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

4. Final simplification 61.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.02 \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 -0.0106:\\ \;\;\;\;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}\;x \leq -1.95 \cdot 10^{-60}:\\ \;\;\;\;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}\;x \leq -5.1 \cdot 10^{-104}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-132}:\\ \;\;\;\;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}\;x \leq 5.5 \cdot 10^{-292}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-121}:\\ \;\;\;\;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}\;x \leq 1.7 \cdot 10^{+80}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+147}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{+201}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\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} \]

Alternative 8: 37.7% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_2 := t \cdot j - y \cdot k\\ t_3 := x \cdot j - z \cdot k\\ t_4 := x \cdot y2 - z \cdot y3\\ t_5 := j \cdot y3 - k \cdot y2\\ t_6 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;j \leq -1.65 \cdot 10^{+143}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_6 + t_1\right)\\ \mathbf{elif}\;j \leq -8.2 \cdot 10^{-200}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot t_3 + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;j \leq -2.45 \cdot 10^{-247}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{elif}\;j \leq 6 \cdot 10^{-258}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_6\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-213}:\\ \;\;\;\;y0 \cdot \left(c \cdot t_4 + \left(y5 \cdot t_5 - b \cdot t_3\right)\right)\\ \mathbf{elif}\;j \leq 0.025:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot t_4\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 10^{+115}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_2\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 1.82 \cdot 10^{+205}:\\ \;\;\;\;x \cdot t_1\\ \mathbf{elif}\;j \leq 3.55 \cdot 10^{+227}:\\ \;\;\;\;y4 \cdot \left(b \cdot t_2\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot t_5\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (- (* i y1) (* b y0))))
        (t_2 (- (* t j) (* y k)))
        (t_3 (- (* x j) (* z k)))
        (t_4 (- (* x y2) (* z y3)))
        (t_5 (- (* j y3) (* k y2)))
        (t_6 (- (* c y0) (* a y1))))
   (if (<= j -1.65e+143)
     (* x (+ (* y2 t_6) t_1))
     (if (<= j -8.2e-200)
       (*
        y1
        (+
         (* a (- (* z y3) (* x y2)))
         (+ (* i t_3) (* y4 (- (* k y2) (* j y3))))))
       (if (<= j -2.45e-247)
         (*
          y
          (+
           (* k (- (* i y5) (* b y4)))
           (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5))))))
         (if (<= j 6e-258)
           (*
            y2
            (+
             (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_6))
             (* t (- (* a y5) (* c y4)))))
           (if (<= j 1.15e-213)
             (* y0 (+ (* c t_4) (- (* y5 t_5) (* b t_3))))
             (if (<= j 0.025)
               (*
                c
                (+
                 (+ (* i (- (* z t) (* x y))) (* y0 t_4))
                 (* y4 (- (* y y3) (* t y2)))))
               (if (<= j 1e+115)
                 (*
                  b
                  (+
                   (+ (* a (- (* x y) (* z t))) (* y4 t_2))
                   (* y0 (- (* z k) (* x j)))))
                 (if (<= j 1.82e+205)
                   (* x t_1)
                   (if (<= j 3.55e+227)
                     (* y4 (* b t_2))
                     (* y5 (* y0 t_5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * ((i * y1) - (b * y0));
	double t_2 = (t * j) - (y * k);
	double t_3 = (x * j) - (z * k);
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (j * y3) - (k * y2);
	double t_6 = (c * y0) - (a * y1);
	double tmp;
	if (j <= -1.65e+143) {
		tmp = x * ((y2 * t_6) + t_1);
	} else if (j <= -8.2e-200) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_3) + (y4 * ((k * y2) - (j * y3)))));
	} else if (j <= -2.45e-247) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	} else if (j <= 6e-258) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_6)) + (t * ((a * y5) - (c * y4))));
	} else if (j <= 1.15e-213) {
		tmp = y0 * ((c * t_4) + ((y5 * t_5) - (b * t_3)));
	} else if (j <= 0.025) {
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_4)) + (y4 * ((y * y3) - (t * y2))));
	} else if (j <= 1e+115) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	} else if (j <= 1.82e+205) {
		tmp = x * t_1;
	} else if (j <= 3.55e+227) {
		tmp = y4 * (b * t_2);
	} else {
		tmp = y5 * (y0 * t_5);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = j * ((i * y1) - (b * y0))
    t_2 = (t * j) - (y * k)
    t_3 = (x * j) - (z * k)
    t_4 = (x * y2) - (z * y3)
    t_5 = (j * y3) - (k * y2)
    t_6 = (c * y0) - (a * y1)
    if (j <= (-1.65d+143)) then
        tmp = x * ((y2 * t_6) + t_1)
    else if (j <= (-8.2d-200)) then
        tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_3) + (y4 * ((k * y2) - (j * y3)))))
    else if (j <= (-2.45d-247)) then
        tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    else if (j <= 6d-258) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_6)) + (t * ((a * y5) - (c * y4))))
    else if (j <= 1.15d-213) then
        tmp = y0 * ((c * t_4) + ((y5 * t_5) - (b * t_3)))
    else if (j <= 0.025d0) then
        tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_4)) + (y4 * ((y * y3) - (t * y2))))
    else if (j <= 1d+115) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))))
    else if (j <= 1.82d+205) then
        tmp = x * t_1
    else if (j <= 3.55d+227) then
        tmp = y4 * (b * t_2)
    else
        tmp = y5 * (y0 * t_5)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * ((i * y1) - (b * y0));
	double t_2 = (t * j) - (y * k);
	double t_3 = (x * j) - (z * k);
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (j * y3) - (k * y2);
	double t_6 = (c * y0) - (a * y1);
	double tmp;
	if (j <= -1.65e+143) {
		tmp = x * ((y2 * t_6) + t_1);
	} else if (j <= -8.2e-200) {
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_3) + (y4 * ((k * y2) - (j * y3)))));
	} else if (j <= -2.45e-247) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	} else if (j <= 6e-258) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_6)) + (t * ((a * y5) - (c * y4))));
	} else if (j <= 1.15e-213) {
		tmp = y0 * ((c * t_4) + ((y5 * t_5) - (b * t_3)));
	} else if (j <= 0.025) {
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_4)) + (y4 * ((y * y3) - (t * y2))));
	} else if (j <= 1e+115) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	} else if (j <= 1.82e+205) {
		tmp = x * t_1;
	} else if (j <= 3.55e+227) {
		tmp = y4 * (b * t_2);
	} else {
		tmp = y5 * (y0 * t_5);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * ((i * y1) - (b * y0))
	t_2 = (t * j) - (y * k)
	t_3 = (x * j) - (z * k)
	t_4 = (x * y2) - (z * y3)
	t_5 = (j * y3) - (k * y2)
	t_6 = (c * y0) - (a * y1)
	tmp = 0
	if j <= -1.65e+143:
		tmp = x * ((y2 * t_6) + t_1)
	elif j <= -8.2e-200:
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_3) + (y4 * ((k * y2) - (j * y3)))))
	elif j <= -2.45e-247:
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	elif j <= 6e-258:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_6)) + (t * ((a * y5) - (c * y4))))
	elif j <= 1.15e-213:
		tmp = y0 * ((c * t_4) + ((y5 * t_5) - (b * t_3)))
	elif j <= 0.025:
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_4)) + (y4 * ((y * y3) - (t * y2))))
	elif j <= 1e+115:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))))
	elif j <= 1.82e+205:
		tmp = x * t_1
	elif j <= 3.55e+227:
		tmp = y4 * (b * t_2)
	else:
		tmp = y5 * (y0 * t_5)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(Float64(x * j) - Float64(z * k))
	t_4 = Float64(Float64(x * y2) - Float64(z * y3))
	t_5 = Float64(Float64(j * y3) - Float64(k * y2))
	t_6 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (j <= -1.65e+143)
		tmp = Float64(x * Float64(Float64(y2 * t_6) + t_1));
	elseif (j <= -8.2e-200)
		tmp = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(Float64(i * t_3) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))))));
	elseif (j <= -2.45e-247)
		tmp = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))));
	elseif (j <= 6e-258)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_6)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (j <= 1.15e-213)
		tmp = Float64(y0 * Float64(Float64(c * t_4) + Float64(Float64(y5 * t_5) - Float64(b * t_3))));
	elseif (j <= 0.025)
		tmp = Float64(c * Float64(Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(y0 * t_4)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (j <= 1e+115)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_2)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (j <= 1.82e+205)
		tmp = Float64(x * t_1);
	elseif (j <= 3.55e+227)
		tmp = Float64(y4 * Float64(b * t_2));
	else
		tmp = Float64(y5 * Float64(y0 * t_5));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * ((i * y1) - (b * y0));
	t_2 = (t * j) - (y * k);
	t_3 = (x * j) - (z * k);
	t_4 = (x * y2) - (z * y3);
	t_5 = (j * y3) - (k * y2);
	t_6 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (j <= -1.65e+143)
		tmp = x * ((y2 * t_6) + t_1);
	elseif (j <= -8.2e-200)
		tmp = y1 * ((a * ((z * y3) - (x * y2))) + ((i * t_3) + (y4 * ((k * y2) - (j * y3)))));
	elseif (j <= -2.45e-247)
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	elseif (j <= 6e-258)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_6)) + (t * ((a * y5) - (c * y4))));
	elseif (j <= 1.15e-213)
		tmp = y0 * ((c * t_4) + ((y5 * t_5) - (b * t_3)));
	elseif (j <= 0.025)
		tmp = c * (((i * ((z * t) - (x * y))) + (y0 * t_4)) + (y4 * ((y * y3) - (t * y2))));
	elseif (j <= 1e+115)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	elseif (j <= 1.82e+205)
		tmp = x * t_1;
	elseif (j <= 3.55e+227)
		tmp = y4 * (b * t_2);
	else
		tmp = y5 * (y0 * t_5);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.65e+143], N[(x * N[(N[(y2 * t$95$6), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -8.2e-200], N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$3), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.45e-247], N[(y * N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6e-258], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.15e-213], N[(y0 * N[(N[(c * t$95$4), $MachinePrecision] + N[(N[(y5 * t$95$5), $MachinePrecision] - N[(b * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 0.025], N[(c * N[(N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1e+115], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.82e+205], N[(x * t$95$1), $MachinePrecision], If[LessEqual[j, 3.55e+227], N[(y4 * N[(b * t$95$2), $MachinePrecision]), $MachinePrecision], N[(y5 * N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -1.65e143

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in x around inf 54.1%

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

   5. Taylor expanded in y around 0 65.7%

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

   if -1.65e143 < j < -8.19999999999999974e-200

   1. Initial program 32.3%

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

   3. Simplified 40.0%

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

   4. Taylor expanded in y1 around inf 54.6%

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

      1. mul-1-neg 54.6%

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

      2. mul-1-neg 54.6%

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

      3. sub-neg 54.6%

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

   6. Simplified 54.6%

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

   if -8.19999999999999974e-200 < j < -2.45e-247

   1. Initial program 46.7%

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

   3. Simplified 54.4%

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

   4. Taylor expanded in y around inf 54.9%

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

      1. mul-1-neg 54.9%

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

   6. Simplified 54.9%

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

   if -2.45e-247 < j < 6.00000000000000042e-258

   1. Initial program 17.4%

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

   3. Simplified 17.4%

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

   4. Taylor expanded in y2 around inf 61.2%

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

   if 6.00000000000000042e-258 < j < 1.15000000000000001e-213

   1. Initial program 25.0%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in y0 around inf 67.1%

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

      1. mul-1-neg 67.1%

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

   6. Simplified 67.1%

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

   if 1.15000000000000001e-213 < j < 0.025000000000000001

   1. Initial program 44.5%

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

   3. Simplified 44.5%

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

   4. Taylor expanded in c around inf 61.5%

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

   if 0.025000000000000001 < j < 1e115

   1. Initial program 38.0%

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

   3. Simplified 38.0%

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

   4. Taylor expanded in b around inf 58.1%

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

   if 1e115 < j < 1.81999999999999997e205

   1. Initial program 6.8%

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

   3. Simplified 6.8%

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

   4. Taylor expanded in x around inf 56.3%

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

   5. Taylor expanded in j around inf 63.2%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 63.2%

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

      2. *-commutative 63.2%

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

      3. associate-*l* 69.1%

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

      4. *-commutative 69.1%

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

   7. Simplified 69.1%

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

   if 1.81999999999999997e205 < j < 3.5500000000000001e227

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y4 around inf 50.0%

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

   5. Taylor expanded in b around inf 100.0%

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

   if 3.5500000000000001e227 < j

   1. Initial program 13.6%

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

   3. Simplified 18.2%

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

   4. Taylor expanded in y5 around inf 31.8%

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

      1. mul-1-neg 31.8%

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

      2. mul-1-neg 31.8%

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

      3. mul-1-neg 31.8%

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

      4. sub-neg 31.8%

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

      5. sub-neg 31.8%

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

   6. Simplified 31.8%

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

   7. Taylor expanded in y0 around inf 59.3%

      \[\leadsto \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y0\right)} \cdot y5 \]
3. Recombined 10 regimes into one program.

4. Final simplification 60.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.65 \cdot 10^{+143}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -8.2 \cdot 10^{-200}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;j \leq -2.45 \cdot 10^{-247}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{elif}\;j \leq 6 \cdot 10^{-258}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-213}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;j \leq 0.025:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 10^{+115}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 1.82 \cdot 10^{+205}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 3.55 \cdot 10^{+227}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]

Alternative 9: 36.5% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right)\\ t_3 := t \cdot j - y \cdot k\\ t_4 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_3\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;y2 \leq -4.7 \cdot 10^{-14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -6 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -4.3 \cdot 10^{-124}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_3 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -7 \cdot 10^{-208}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-295}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 6 \cdot 10^{-270}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{-50}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_1 + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 9.2 \cdot 10^{+50}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+118}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.85 \cdot 10^{+241} \lor \neg \left(y2 \leq 7 \cdot 10^{+291}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))))
        (t_3 (- (* t j) (* y k)))
        (t_4
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_3))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= y2 -4.7e-14)
     t_2
     (if (<= y2 -6e-72)
       (*
        y
        (*
         x
         (/ (- (* (* a b) (* a b)) (* (* c i) (* c i))) (+ (* a b) (* c i)))))
       (if (<= y2 -4.3e-124)
         (*
          y4
          (+
           (+ (* b t_3) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= y2 -7e-208)
           t_4
           (if (<= y2 -4.2e-295)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= y2 6e-270)
               t_4
               (if (<= y2 4.2e-50)
                 (* x (+ (* y2 t_1) (* j (- (* i y1) (* b y0)))))
                 (if (<= y2 9.2e+50)
                   (* y (* x (- (* a b) (* c i))))
                   (if (<= y2 1.65e+118)
                     (* (* k y4) (- (* y1 y2) (* y b)))
                     (if (or (<= y2 1.85e+241) (not (<= y2 7e+291)))
                       (* y5 (* y2 (- (* t a) (* k y0))))
                       t_2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = (t * j) - (y * k);
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y2 <= -4.7e-14) {
		tmp = t_2;
	} else if (y2 <= -6e-72) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -4.3e-124) {
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= -7e-208) {
		tmp = t_4;
	} else if (y2 <= -4.2e-295) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 6e-270) {
		tmp = t_4;
	} else if (y2 <= 4.2e-50) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 9.2e+50) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y2 <= 1.65e+118) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 1.85e+241) || !(y2 <= 7e+291)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
    t_3 = (t * j) - (y * k)
    t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
    if (y2 <= (-4.7d-14)) then
        tmp = t_2
    else if (y2 <= (-6d-72)) then
        tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
    else if (y2 <= (-4.3d-124)) then
        tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (y2 <= (-7d-208)) then
        tmp = t_4
    else if (y2 <= (-4.2d-295)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 6d-270) then
        tmp = t_4
    else if (y2 <= 4.2d-50) then
        tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 9.2d+50) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y2 <= 1.65d+118) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if ((y2 <= 1.85d+241) .or. (.not. (y2 <= 7d+291))) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = (t * j) - (y * k);
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y2 <= -4.7e-14) {
		tmp = t_2;
	} else if (y2 <= -6e-72) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -4.3e-124) {
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= -7e-208) {
		tmp = t_4;
	} else if (y2 <= -4.2e-295) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 6e-270) {
		tmp = t_4;
	} else if (y2 <= 4.2e-50) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 9.2e+50) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y2 <= 1.65e+118) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 1.85e+241) || !(y2 <= 7e+291)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
	t_3 = (t * j) - (y * k)
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
	tmp = 0
	if y2 <= -4.7e-14:
		tmp = t_2
	elif y2 <= -6e-72:
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
	elif y2 <= -4.3e-124:
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif y2 <= -7e-208:
		tmp = t_4
	elif y2 <= -4.2e-295:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 6e-270:
		tmp = t_4
	elif y2 <= 4.2e-50:
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 9.2e+50:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y2 <= 1.65e+118:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif (y2 <= 1.85e+241) or not (y2 <= 7e+291):
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_3)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (y2 <= -4.7e-14)
		tmp = t_2;
	elseif (y2 <= -6e-72)
		tmp = Float64(y * Float64(x * Float64(Float64(Float64(Float64(a * b) * Float64(a * b)) - Float64(Float64(c * i) * Float64(c * i))) / Float64(Float64(a * b) + Float64(c * i)))));
	elseif (y2 <= -4.3e-124)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_3) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y2 <= -7e-208)
		tmp = t_4;
	elseif (y2 <= -4.2e-295)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 6e-270)
		tmp = t_4;
	elseif (y2 <= 4.2e-50)
		tmp = Float64(x * Float64(Float64(y2 * t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 9.2e+50)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y2 <= 1.65e+118)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif ((y2 <= 1.85e+241) || !(y2 <= 7e+291))
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	t_3 = (t * j) - (y * k);
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (y2 <= -4.7e-14)
		tmp = t_2;
	elseif (y2 <= -6e-72)
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	elseif (y2 <= -4.3e-124)
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (y2 <= -7e-208)
		tmp = t_4;
	elseif (y2 <= -4.2e-295)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 6e-270)
		tmp = t_4;
	elseif (y2 <= 4.2e-50)
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 9.2e+50)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y2 <= 1.65e+118)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif ((y2 <= 1.85e+241) || ~((y2 <= 7e+291)))
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $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[y2, -4.7e-14], t$95$2, If[LessEqual[y2, -6e-72], N[(y * N[(x * N[(N[(N[(N[(a * b), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision] - N[(N[(c * i), $MachinePrecision] * N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[(a * b), $MachinePrecision] + N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -4.3e-124], N[(y4 * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7e-208], t$95$4, If[LessEqual[y2, -4.2e-295], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6e-270], t$95$4, If[LessEqual[y2, 4.2e-50], N[(x * N[(N[(y2 * t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.2e+50], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.65e+118], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y2, 1.85e+241], N[Not[LessEqual[y2, 7e+291]], $MachinePrecision]], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -4.7000000000000002e-14 or 1.8499999999999999e241 < y2 < 7.0000000000000005e291

   1. Initial program 32.4%

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

   3. Simplified 32.4%

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

   4. Taylor expanded in y2 around inf 62.7%

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

   5. Taylor expanded in t around 0 56.5%

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

   if -4.7000000000000002e-14 < y2 < -6e-72

   1. Initial program 29.8%

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

   3. Simplified 39.8%

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

   4. Taylor expanded in y around inf 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   7. Taylor expanded in x around inf 70.9%

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

      1. flip-- 80.5%

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

   9. Applied egg-rr 80.5%

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

   if -6e-72 < y2 < -4.3e-124

   1. Initial program 23.8%

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

   3. Simplified 23.8%

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

   4. Taylor expanded in y4 around inf 48.0%

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

   if -4.3e-124 < y2 < -6.99999999999999982e-208 or -4.19999999999999986e-295 < y2 < 6.00000000000000025e-270

   1. Initial program 43.9%

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

   3. Simplified 43.9%

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

   4. Taylor expanded in b around inf 63.3%

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

   if -6.99999999999999982e-208 < y2 < -4.19999999999999986e-295

   1. Initial program 14.3%

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

   3. Simplified 14.3%

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

   4. Taylor expanded in c around inf 43.7%

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

   5. Taylor expanded in z around inf 48.4%

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

      1. associate-*r* 52.9%

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

      2. +-commutative 52.9%

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

      3. mul-1-neg 52.9%

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

      4. unsub-neg 52.9%

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

   7. Simplified 52.9%

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

   if 6.00000000000000025e-270 < y2 < 4.2000000000000002e-50

   1. Initial program 34.4%

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

   3. Simplified 34.4%

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

   4. Taylor expanded in x around inf 55.8%

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

   5. Taylor expanded in y around 0 53.8%

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

   if 4.2000000000000002e-50 < y2 < 9.19999999999999987e50

   1. Initial program 26.3%

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

   3. Simplified 31.6%

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

   4. Taylor expanded in y around inf 53.2%

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

      1. mul-1-neg 53.2%

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

   6. Simplified 53.2%

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

   7. Taylor expanded in x around inf 63.8%

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

   if 9.19999999999999987e50 < y2 < 1.65e118

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 1.65e118 < y2 < 1.8499999999999999e241 or 7.0000000000000005e291 < y2

   1. Initial program 17.6%

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

   3. Simplified 20.5%

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

   4. Taylor expanded in y5 around inf 32.7%

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

      1. mul-1-neg 32.7%

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

      2. mul-1-neg 32.7%

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

      3. mul-1-neg 32.7%

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

      4. sub-neg 32.7%

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

      5. sub-neg 32.7%

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

   6. Simplified 32.7%

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

   7. Taylor expanded in y2 around inf 59.4%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 9 regimes into one program.

4. Final simplification 58.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.7 \cdot 10^{-14}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -6 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -4.3 \cdot 10^{-124}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -7 \cdot 10^{-208}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-295}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 6 \cdot 10^{-270}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{-50}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 9.2 \cdot 10^{+50}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+118}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.85 \cdot 10^{+241} \lor \neg \left(y2 \leq 7 \cdot 10^{+291}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 10: 34.1% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ t_2 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -2.9 \cdot 10^{-14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -8.6 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{-253}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-91}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{+51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 2.55 \cdot 10^{+113}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 4.4 \cdot 10^{+241} \lor \neg \left(y2 \leq 1.4 \cdot 10^{+288}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))))
        (t_2 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -2.9e-14)
     t_1
     (if (<= y2 -8.6e-73)
       t_2
       (if (<= y2 -3.2e-253)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y2 1.3e-187)
           (* x (* j (- (* i y1) (* b y0))))
           (if (<= y2 4e-108)
             (* c (* x (- (* y0 y2) (* y i))))
             (if (<= y2 9e-91)
               (* y5 (* y0 (- (* j y3) (* k y2))))
               (if (<= y2 1.2e+51)
                 t_2
                 (if (<= y2 2.55e+113)
                   (* (* k y4) (- (* y1 y2) (* y b)))
                   (if (or (<= y2 4.4e+241) (not (<= y2 1.4e+288)))
                     (* y5 (* y2 (- (* t a) (* k y0))))
                     t_1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1))));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -2.9e-14) {
		tmp = t_1;
	} else if (y2 <= -8.6e-73) {
		tmp = t_2;
	} else if (y2 <= -3.2e-253) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.3e-187) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else if (y2 <= 4e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 9e-91) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (y2 <= 1.2e+51) {
		tmp = t_2;
	} else if (y2 <= 2.55e+113) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 4.4e+241) || !(y2 <= 1.4e+288)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1))))
    t_2 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-2.9d-14)) then
        tmp = t_1
    else if (y2 <= (-8.6d-73)) then
        tmp = t_2
    else if (y2 <= (-3.2d-253)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.3d-187) then
        tmp = x * (j * ((i * y1) - (b * y0)))
    else if (y2 <= 4d-108) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 9d-91) then
        tmp = y5 * (y0 * ((j * y3) - (k * y2)))
    else if (y2 <= 1.2d+51) then
        tmp = t_2
    else if (y2 <= 2.55d+113) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if ((y2 <= 4.4d+241) .or. (.not. (y2 <= 1.4d+288))) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1))));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -2.9e-14) {
		tmp = t_1;
	} else if (y2 <= -8.6e-73) {
		tmp = t_2;
	} else if (y2 <= -3.2e-253) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.3e-187) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else if (y2 <= 4e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 9e-91) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (y2 <= 1.2e+51) {
		tmp = t_2;
	} else if (y2 <= 2.55e+113) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 4.4e+241) || !(y2 <= 1.4e+288)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1))))
	t_2 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -2.9e-14:
		tmp = t_1
	elif y2 <= -8.6e-73:
		tmp = t_2
	elif y2 <= -3.2e-253:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.3e-187:
		tmp = x * (j * ((i * y1) - (b * y0)))
	elif y2 <= 4e-108:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 9e-91:
		tmp = y5 * (y0 * ((j * y3) - (k * y2)))
	elif y2 <= 1.2e+51:
		tmp = t_2
	elif y2 <= 2.55e+113:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif (y2 <= 4.4e+241) or not (y2 <= 1.4e+288):
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))))
	t_2 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -2.9e-14)
		tmp = t_1;
	elseif (y2 <= -8.6e-73)
		tmp = t_2;
	elseif (y2 <= -3.2e-253)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.3e-187)
		tmp = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y2 <= 4e-108)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 9e-91)
		tmp = Float64(y5 * Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y2 <= 1.2e+51)
		tmp = t_2;
	elseif (y2 <= 2.55e+113)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif ((y2 <= 4.4e+241) || !(y2 <= 1.4e+288))
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1))));
	t_2 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -2.9e-14)
		tmp = t_1;
	elseif (y2 <= -8.6e-73)
		tmp = t_2;
	elseif (y2 <= -3.2e-253)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.3e-187)
		tmp = x * (j * ((i * y1) - (b * y0)));
	elseif (y2 <= 4e-108)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 9e-91)
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	elseif (y2 <= 1.2e+51)
		tmp = t_2;
	elseif (y2 <= 2.55e+113)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif ((y2 <= 4.4e+241) || ~((y2 <= 1.4e+288)))
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -2.9e-14], t$95$1, If[LessEqual[y2, -8.6e-73], t$95$2, If[LessEqual[y2, -3.2e-253], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.3e-187], N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4e-108], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9e-91], N[(y5 * N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.2e+51], t$95$2, If[LessEqual[y2, 2.55e+113], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y2, 4.4e+241], N[Not[LessEqual[y2, 1.4e+288]], $MachinePrecision]], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -2.9000000000000003e-14 or 4.4e241 < y2 < 1.3999999999999999e288

   1. Initial program 32.4%

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

   3. Simplified 32.4%

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

   4. Taylor expanded in y2 around inf 62.7%

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

   5. Taylor expanded in t around 0 56.5%

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

   if -2.9000000000000003e-14 < y2 < -8.5999999999999998e-73 or 8.99999999999999952e-91 < y2 < 1.1999999999999999e51

   1. Initial program 25.0%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in y around inf 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   7. Taylor expanded in x around inf 61.8%

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

   if -8.5999999999999998e-73 < y2 < -3.1999999999999997e-253

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in c around inf 44.1%

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

   5. Taylor expanded in z around inf 46.7%

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

      1. associate-*r* 46.7%

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

      2. +-commutative 46.7%

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

      3. mul-1-neg 46.7%

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

      4. unsub-neg 46.7%

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

   7. Simplified 46.7%

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

   if -3.1999999999999997e-253 < y2 < 1.3e-187

   1. Initial program 32.2%

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

   3. Simplified 32.2%

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

   4. Taylor expanded in x around inf 49.8%

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

   5. Taylor expanded in j around inf 39.5%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.5%

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

      2. *-commutative 39.5%

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

      3. associate-*l* 45.8%

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

      4. *-commutative 45.8%

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

   7. Simplified 45.8%

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

   if 1.3e-187 < y2 < 4.00000000000000016e-108

   1. Initial program 33.4%

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

   3. Simplified 33.4%

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

   4. Taylor expanded in c around inf 79.6%

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

   5. Taylor expanded in x around inf 56.3%

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

      1. *-commutative 56.3%

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

      2. +-commutative 56.3%

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

      3. mul-1-neg 56.3%

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

      4. *-commutative 56.3%

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

      5. unsub-neg 56.3%

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

      6. *-commutative 56.3%

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

   7. Simplified 56.3%

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

   if 4.00000000000000016e-108 < y2 < 8.99999999999999952e-91

   1. Initial program 74.6%

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

   3. Simplified 74.6%

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

   4. Taylor expanded in y5 around inf 100.0%

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

      1. mul-1-neg 100.0%

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

      2. mul-1-neg 100.0%

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

      3. mul-1-neg 100.0%

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

      4. sub-neg 100.0%

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

      5. sub-neg 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in y0 around inf 100.0%

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

   if 1.1999999999999999e51 < y2 < 2.54999999999999997e113

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 2.54999999999999997e113 < y2 < 4.4e241 or 1.3999999999999999e288 < y2

   1. Initial program 17.6%

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

   3. Simplified 20.5%

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

   4. Taylor expanded in y5 around inf 32.7%

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

      1. mul-1-neg 32.7%

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

      2. mul-1-neg 32.7%

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

      3. mul-1-neg 32.7%

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

      4. sub-neg 32.7%

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

      5. sub-neg 32.7%

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

   6. Simplified 32.7%

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

   7. Taylor expanded in y2 around inf 59.4%

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

4. Final simplification 55.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.9 \cdot 10^{-14}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -8.6 \cdot 10^{-73}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{-253}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-91}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{+51}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.55 \cdot 10^{+113}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 4.4 \cdot 10^{+241} \lor \neg \left(y2 \leq 1.4 \cdot 10^{+288}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 11: 34.5% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right)\\ \mathbf{if}\;y2 \leq -1.15 \cdot 10^{-11}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -7.5 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -8.4 \cdot 10^{-111}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -2.15 \cdot 10^{-156}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -7.4 \cdot 10^{-241}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-49}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_1 + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{+50}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+114}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 7.6 \cdot 10^{+239} \lor \neg \left(y2 \leq 9 \cdot 10^{+289}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1)))))
   (if (<= y2 -1.15e-11)
     t_2
     (if (<= y2 -7.5e-71)
       (*
        y
        (*
         x
         (/ (- (* (* a b) (* a b)) (* (* c i) (* c i))) (+ (* a b) (* c i)))))
       (if (<= y2 -8.4e-111)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= y2 -2.15e-156)
           (* y4 (* b (- (* t j) (* y k))))
           (if (<= y2 -7.4e-241)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= y2 1.2e-49)
               (* x (+ (* y2 t_1) (* j (- (* i y1) (* b y0)))))
               (if (<= y2 3.5e+50)
                 (* y (* x (- (* a b) (* c i))))
                 (if (<= y2 1.65e+114)
                   (* (* k y4) (- (* y1 y2) (* y b)))
                   (if (or (<= y2 7.6e+239) (not (<= y2 9e+289)))
                     (* y5 (* y2 (- (* t a) (* k y0))))
                     t_2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double tmp;
	if (y2 <= -1.15e-11) {
		tmp = t_2;
	} else if (y2 <= -7.5e-71) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -8.4e-111) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -2.15e-156) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y2 <= -7.4e-241) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.2e-49) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 3.5e+50) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y2 <= 1.65e+114) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 7.6e+239) || !(y2 <= 9e+289)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
    if (y2 <= (-1.15d-11)) then
        tmp = t_2
    else if (y2 <= (-7.5d-71)) then
        tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
    else if (y2 <= (-8.4d-111)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-2.15d-156)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (y2 <= (-7.4d-241)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.2d-49) then
        tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 3.5d+50) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y2 <= 1.65d+114) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if ((y2 <= 7.6d+239) .or. (.not. (y2 <= 9d+289))) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double tmp;
	if (y2 <= -1.15e-11) {
		tmp = t_2;
	} else if (y2 <= -7.5e-71) {
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	} else if (y2 <= -8.4e-111) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -2.15e-156) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y2 <= -7.4e-241) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.2e-49) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 3.5e+50) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y2 <= 1.65e+114) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 7.6e+239) || !(y2 <= 9e+289)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
	tmp = 0
	if y2 <= -1.15e-11:
		tmp = t_2
	elif y2 <= -7.5e-71:
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
	elif y2 <= -8.4e-111:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -2.15e-156:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif y2 <= -7.4e-241:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.2e-49:
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 3.5e+50:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y2 <= 1.65e+114:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif (y2 <= 7.6e+239) or not (y2 <= 9e+289):
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)))
	tmp = 0.0
	if (y2 <= -1.15e-11)
		tmp = t_2;
	elseif (y2 <= -7.5e-71)
		tmp = Float64(y * Float64(x * Float64(Float64(Float64(Float64(a * b) * Float64(a * b)) - Float64(Float64(c * i) * Float64(c * i))) / Float64(Float64(a * b) + Float64(c * i)))));
	elseif (y2 <= -8.4e-111)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -2.15e-156)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y2 <= -7.4e-241)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.2e-49)
		tmp = Float64(x * Float64(Float64(y2 * t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 3.5e+50)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y2 <= 1.65e+114)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif ((y2 <= 7.6e+239) || !(y2 <= 9e+289))
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	tmp = 0.0;
	if (y2 <= -1.15e-11)
		tmp = t_2;
	elseif (y2 <= -7.5e-71)
		tmp = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	elseif (y2 <= -8.4e-111)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -2.15e-156)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (y2 <= -7.4e-241)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.2e-49)
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 3.5e+50)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y2 <= 1.65e+114)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif ((y2 <= 7.6e+239) || ~((y2 <= 9e+289)))
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.15e-11], t$95$2, If[LessEqual[y2, -7.5e-71], N[(y * N[(x * N[(N[(N[(N[(a * b), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision] - N[(N[(c * i), $MachinePrecision] * N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[(a * b), $MachinePrecision] + N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8.4e-111], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.15e-156], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.4e-241], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.2e-49], N[(x * N[(N[(y2 * t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.5e+50], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.65e+114], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y2, 7.6e+239], N[Not[LessEqual[y2, 9e+289]], $MachinePrecision]], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -1.15000000000000007e-11 or 7.6000000000000003e239 < y2 < 8.99999999999999969e289

   1. Initial program 32.4%

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

   3. Simplified 32.4%

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

   4. Taylor expanded in y2 around inf 62.7%

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

   5. Taylor expanded in t around 0 56.5%

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

   if -1.15000000000000007e-11 < y2 < -7.5000000000000004e-71

   1. Initial program 33.2%

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

   3. Simplified 44.3%

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

   4. Taylor expanded in y around inf 56.1%

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

      1. mul-1-neg 56.1%

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

   6. Simplified 56.1%

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

   7. Taylor expanded in x around inf 67.7%

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

      1. flip-- 78.4%

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

   9. Applied egg-rr 78.4%

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

   if -7.5000000000000004e-71 < y2 < -8.3999999999999995e-111

   1. Initial program 12.1%

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

   3. Simplified 12.1%

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

   4. Taylor expanded in c around inf 33.4%

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

   5. Taylor expanded in y0 around inf 78.0%

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

   if -8.3999999999999995e-111 < y2 < -2.14999999999999989e-156

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y4 around inf 33.9%

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

   5. Taylor expanded in b around inf 42.1%

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

   if -2.14999999999999989e-156 < y2 < -7.3999999999999998e-241

   1. Initial program 25.0%

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

   3. Simplified 25.0%

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

   4. Taylor expanded in c around inf 51.0%

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

   5. Taylor expanded in z around inf 63.4%

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

      1. associate-*r* 69.3%

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

      2. +-commutative 69.3%

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

      3. mul-1-neg 69.3%

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

      4. unsub-neg 69.3%

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

   7. Simplified 69.3%

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

   if -7.3999999999999998e-241 < y2 < 1.19999999999999996e-49

   1. Initial program 32.6%

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

   3. Simplified 32.6%

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

   4. Taylor expanded in x around inf 49.3%

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

   5. Taylor expanded in y around 0 45.2%

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

   if 1.19999999999999996e-49 < y2 < 3.50000000000000006e50

   1. Initial program 26.3%

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

   3. Simplified 31.6%

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

   4. Taylor expanded in y around inf 53.2%

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

      1. mul-1-neg 53.2%

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

   6. Simplified 53.2%

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

   7. Taylor expanded in x around inf 63.8%

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

   if 3.50000000000000006e50 < y2 < 1.65e114

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 1.65e114 < y2 < 7.6000000000000003e239 or 8.99999999999999969e289 < y2

   1. Initial program 17.6%

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

   3. Simplified 20.5%

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

   4. Taylor expanded in y5 around inf 32.7%

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

      1. mul-1-neg 32.7%

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

      2. mul-1-neg 32.7%

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

      3. mul-1-neg 32.7%

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

      4. sub-neg 32.7%

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

      5. sub-neg 32.7%

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

   6. Simplified 32.7%

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

   7. Taylor expanded in y2 around inf 59.4%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 9 regimes into one program.

4. Final simplification 56.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.15 \cdot 10^{-11}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -7.5 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -8.4 \cdot 10^{-111}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -2.15 \cdot 10^{-156}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -7.4 \cdot 10^{-241}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-49}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{+50}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+114}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 7.6 \cdot 10^{+239} \lor \neg \left(y2 \leq 9 \cdot 10^{+289}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 12: 35.0% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right)\\ t_3 := y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{if}\;y2 \leq -4.7 \cdot 10^{-14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -1.1 \cdot 10^{-71}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-140}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -7.8 \cdot 10^{-164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-243}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-57}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_1 + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 7.5 \cdot 10^{+48}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.46 \cdot 10^{+122}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 9.2 \cdot 10^{+237} \lor \neg \left(y2 \leq 5 \cdot 10^{+290}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))))
        (t_3
         (*
          y
          (*
           x
           (/
            (- (* (* a b) (* a b)) (* (* c i) (* c i)))
            (+ (* a b) (* c i)))))))
   (if (<= y2 -4.7e-14)
     t_2
     (if (<= y2 -1.1e-71)
       t_3
       (if (<= y2 -4.2e-140)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= y2 -7.8e-164)
           t_3
           (if (<= y2 -1.8e-243)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= y2 6.5e-57)
               (* x (+ (* y2 t_1) (* j (- (* i y1) (* b y0)))))
               (if (<= y2 7.5e+48)
                 (* y (* x (- (* a b) (* c i))))
                 (if (<= y2 1.46e+122)
                   (* (* k y4) (- (* y1 y2) (* y b)))
                   (if (or (<= y2 9.2e+237) (not (<= y2 5e+290)))
                     (* y5 (* y2 (- (* t a) (* k y0))))
                     t_2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	double tmp;
	if (y2 <= -4.7e-14) {
		tmp = t_2;
	} else if (y2 <= -1.1e-71) {
		tmp = t_3;
	} else if (y2 <= -4.2e-140) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= -7.8e-164) {
		tmp = t_3;
	} else if (y2 <= -1.8e-243) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 6.5e-57) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 7.5e+48) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y2 <= 1.46e+122) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 9.2e+237) || !(y2 <= 5e+290)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
    t_3 = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
    if (y2 <= (-4.7d-14)) then
        tmp = t_2
    else if (y2 <= (-1.1d-71)) then
        tmp = t_3
    else if (y2 <= (-4.2d-140)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (y2 <= (-7.8d-164)) then
        tmp = t_3
    else if (y2 <= (-1.8d-243)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 6.5d-57) then
        tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 7.5d+48) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (y2 <= 1.46d+122) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if ((y2 <= 9.2d+237) .or. (.not. (y2 <= 5d+290))) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	double tmp;
	if (y2 <= -4.7e-14) {
		tmp = t_2;
	} else if (y2 <= -1.1e-71) {
		tmp = t_3;
	} else if (y2 <= -4.2e-140) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= -7.8e-164) {
		tmp = t_3;
	} else if (y2 <= -1.8e-243) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 6.5e-57) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 7.5e+48) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (y2 <= 1.46e+122) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 9.2e+237) || !(y2 <= 5e+290)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
	t_3 = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))))
	tmp = 0
	if y2 <= -4.7e-14:
		tmp = t_2
	elif y2 <= -1.1e-71:
		tmp = t_3
	elif y2 <= -4.2e-140:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif y2 <= -7.8e-164:
		tmp = t_3
	elif y2 <= -1.8e-243:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 6.5e-57:
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 7.5e+48:
		tmp = y * (x * ((a * b) - (c * i)))
	elif y2 <= 1.46e+122:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif (y2 <= 9.2e+237) or not (y2 <= 5e+290):
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)))
	t_3 = Float64(y * Float64(x * Float64(Float64(Float64(Float64(a * b) * Float64(a * b)) - Float64(Float64(c * i) * Float64(c * i))) / Float64(Float64(a * b) + Float64(c * i)))))
	tmp = 0.0
	if (y2 <= -4.7e-14)
		tmp = t_2;
	elseif (y2 <= -1.1e-71)
		tmp = t_3;
	elseif (y2 <= -4.2e-140)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y2 <= -7.8e-164)
		tmp = t_3;
	elseif (y2 <= -1.8e-243)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 6.5e-57)
		tmp = Float64(x * Float64(Float64(y2 * t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 7.5e+48)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y2 <= 1.46e+122)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif ((y2 <= 9.2e+237) || !(y2 <= 5e+290))
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	t_3 = y * (x * ((((a * b) * (a * b)) - ((c * i) * (c * i))) / ((a * b) + (c * i))));
	tmp = 0.0;
	if (y2 <= -4.7e-14)
		tmp = t_2;
	elseif (y2 <= -1.1e-71)
		tmp = t_3;
	elseif (y2 <= -4.2e-140)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (y2 <= -7.8e-164)
		tmp = t_3;
	elseif (y2 <= -1.8e-243)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 6.5e-57)
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 7.5e+48)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (y2 <= 1.46e+122)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif ((y2 <= 9.2e+237) || ~((y2 <= 5e+290)))
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(x * N[(N[(N[(N[(a * b), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision] - N[(N[(c * i), $MachinePrecision] * N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[(a * b), $MachinePrecision] + N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.7e-14], t$95$2, If[LessEqual[y2, -1.1e-71], t$95$3, If[LessEqual[y2, -4.2e-140], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.8e-164], t$95$3, If[LessEqual[y2, -1.8e-243], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.5e-57], N[(x * N[(N[(y2 * t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.5e+48], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.46e+122], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y2, 9.2e+237], N[Not[LessEqual[y2, 5e+290]], $MachinePrecision]], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -4.7000000000000002e-14 or 9.19999999999999981e237 < y2 < 4.9999999999999998e290

   1. Initial program 32.4%

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

   3. Simplified 32.4%

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

   4. Taylor expanded in y2 around inf 62.7%

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

   5. Taylor expanded in t around 0 56.5%

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

   if -4.7000000000000002e-14 < y2 < -1.09999999999999999e-71 or -4.20000000000000035e-140 < y2 < -7.7999999999999997e-164

   1. Initial program 47.0%

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

   3. Simplified 52.8%

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

   4. Taylor expanded in y around inf 47.4%

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

      1. mul-1-neg 47.4%

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

   6. Simplified 47.4%

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

   7. Taylor expanded in x around inf 59.6%

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

      1. flip-- 70.9%

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

   9. Applied egg-rr 70.9%

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

   if -1.09999999999999999e-71 < y2 < -4.20000000000000035e-140

   1. Initial program 22.1%

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

   3. Simplified 22.1%

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

   4. Taylor expanded in y4 around inf 51.8%

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

   if -7.7999999999999997e-164 < y2 < -1.8000000000000001e-243

   1. Initial program 20.0%

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

   3. Simplified 20.0%

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

   4. Taylor expanded in c around inf 47.8%

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

   5. Taylor expanded in z around inf 60.9%

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

      1. associate-*r* 67.2%

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

      2. +-commutative 67.2%

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

      3. mul-1-neg 67.2%

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

      4. unsub-neg 67.2%

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

   7. Simplified 67.2%

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

   if -1.8000000000000001e-243 < y2 < 6.49999999999999992e-57

   1. Initial program 32.6%

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

   3. Simplified 32.6%

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

   4. Taylor expanded in x around inf 49.3%

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

   5. Taylor expanded in y around 0 45.2%

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

   if 6.49999999999999992e-57 < y2 < 7.5000000000000006e48

   1. Initial program 26.3%

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

   3. Simplified 31.6%

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

   4. Taylor expanded in y around inf 53.2%

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

      1. mul-1-neg 53.2%

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

   6. Simplified 53.2%

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

   7. Taylor expanded in x around inf 63.8%

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

   if 7.5000000000000006e48 < y2 < 1.46e122

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 1.46e122 < y2 < 9.19999999999999981e237 or 4.9999999999999998e290 < y2

   1. Initial program 17.6%

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

   3. Simplified 20.5%

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

   4. Taylor expanded in y5 around inf 32.7%

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

      1. mul-1-neg 32.7%

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

      2. mul-1-neg 32.7%

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

      3. mul-1-neg 32.7%

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

      4. sub-neg 32.7%

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

      5. sub-neg 32.7%

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

   6. Simplified 32.7%

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

   7. Taylor expanded in y2 around inf 59.4%

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

4. Final simplification 56.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.7 \cdot 10^{-14}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -1.1 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-140}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -7.8 \cdot 10^{-164}:\\ \;\;\;\;y \cdot \left(x \cdot \frac{\left(a \cdot b\right) \cdot \left(a \cdot b\right) - \left(c \cdot i\right) \cdot \left(c \cdot i\right)}{a \cdot b + c \cdot i}\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-243}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-57}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 7.5 \cdot 10^{+48}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.46 \cdot 10^{+122}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 9.2 \cdot 10^{+237} \lor \neg \left(y2 \leq 5 \cdot 10^{+290}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 13: 34.8% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right)\\ t_3 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -1.35 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -1.05 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -8.8 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-270}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -3.4 \cdot 10^{-307}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 1.55 \cdot 10^{-282}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-69}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_1 + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 4.1 \cdot 10^{+49}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+113}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{+238}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))))
        (t_3 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -1.35e-12)
     t_2
     (if (<= y2 -1.05e-72)
       t_3
       (if (<= y2 -8.8e-254)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y2 -1.8e-270)
           (* y4 (* y1 (- (* k y2) (* j y3))))
           (if (<= y2 -3.4e-307)
             (* y0 (- (* y5 (- (* j y3) (* k y2))) (* b (- (* x j) (* z k)))))
             (if (<= y2 1.55e-282)
               (* c (* x (* y (- i))))
               (if (<= y2 2.1e-69)
                 (* x (+ (* y2 t_1) (* j (- (* i y1) (* b y0)))))
                 (if (<= y2 4.1e+49)
                   t_3
                   (if (<= y2 2.4e+113)
                     (* (* k y4) (- (* y1 y2) (* y b)))
                     (if (<= y2 1.9e+238)
                       (* y5 (* y2 (- (* t a) (* k y0))))
                       t_2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -1.35e-12) {
		tmp = t_2;
	} else if (y2 <= -1.05e-72) {
		tmp = t_3;
	} else if (y2 <= -8.8e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -1.8e-270) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -3.4e-307) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 1.55e-282) {
		tmp = c * (x * (y * -i));
	} else if (y2 <= 2.1e-69) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 4.1e+49) {
		tmp = t_3;
	} else if (y2 <= 2.4e+113) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if (y2 <= 1.9e+238) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
    t_3 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-1.35d-12)) then
        tmp = t_2
    else if (y2 <= (-1.05d-72)) then
        tmp = t_3
    else if (y2 <= (-8.8d-254)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= (-1.8d-270)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y2 <= (-3.4d-307)) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))))
    else if (y2 <= 1.55d-282) then
        tmp = c * (x * (y * -i))
    else if (y2 <= 2.1d-69) then
        tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 4.1d+49) then
        tmp = t_3
    else if (y2 <= 2.4d+113) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if (y2 <= 1.9d+238) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -1.35e-12) {
		tmp = t_2;
	} else if (y2 <= -1.05e-72) {
		tmp = t_3;
	} else if (y2 <= -8.8e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -1.8e-270) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -3.4e-307) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 1.55e-282) {
		tmp = c * (x * (y * -i));
	} else if (y2 <= 2.1e-69) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 4.1e+49) {
		tmp = t_3;
	} else if (y2 <= 2.4e+113) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if (y2 <= 1.9e+238) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
	t_3 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -1.35e-12:
		tmp = t_2
	elif y2 <= -1.05e-72:
		tmp = t_3
	elif y2 <= -8.8e-254:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= -1.8e-270:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y2 <= -3.4e-307:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))))
	elif y2 <= 1.55e-282:
		tmp = c * (x * (y * -i))
	elif y2 <= 2.1e-69:
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 4.1e+49:
		tmp = t_3
	elif y2 <= 2.4e+113:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif y2 <= 1.9e+238:
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)))
	t_3 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -1.35e-12)
		tmp = t_2;
	elseif (y2 <= -1.05e-72)
		tmp = t_3;
	elseif (y2 <= -8.8e-254)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= -1.8e-270)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y2 <= -3.4e-307)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(b * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y2 <= 1.55e-282)
		tmp = Float64(c * Float64(x * Float64(y * Float64(-i))));
	elseif (y2 <= 2.1e-69)
		tmp = Float64(x * Float64(Float64(y2 * t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 4.1e+49)
		tmp = t_3;
	elseif (y2 <= 2.4e+113)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif (y2 <= 1.9e+238)
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	t_3 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -1.35e-12)
		tmp = t_2;
	elseif (y2 <= -1.05e-72)
		tmp = t_3;
	elseif (y2 <= -8.8e-254)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= -1.8e-270)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y2 <= -3.4e-307)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	elseif (y2 <= 1.55e-282)
		tmp = c * (x * (y * -i));
	elseif (y2 <= 2.1e-69)
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 4.1e+49)
		tmp = t_3;
	elseif (y2 <= 2.4e+113)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif (y2 <= 1.9e+238)
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.35e-12], t$95$2, If[LessEqual[y2, -1.05e-72], t$95$3, If[LessEqual[y2, -8.8e-254], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.8e-270], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.4e-307], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.55e-282], N[(c * N[(x * N[(y * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.1e-69], N[(x * N[(N[(y2 * t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.1e+49], t$95$3, If[LessEqual[y2, 2.4e+113], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.9e+238], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -1.3499999999999999e-12 or 1.90000000000000012e238 < y2

   1. Initial program 30.4%

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

   3. Simplified 30.4%

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

   4. Taylor expanded in y2 around inf 61.4%

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

   5. Taylor expanded in t around 0 54.3%

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

   if -1.3499999999999999e-12 < y2 < -1.05e-72 or 2.1e-69 < y2 < 4.1e49

   1. Initial program 27.5%

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

   3. Simplified 34.4%

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

   4. Taylor expanded in y around inf 52.2%

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

      1. mul-1-neg 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in x around inf 66.2%

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

   if -1.05e-72 < y2 < -8.8000000000000004e-254

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in c around inf 44.1%

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

   5. Taylor expanded in z around inf 46.7%

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

      1. associate-*r* 46.7%

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

      2. +-commutative 46.7%

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

      3. mul-1-neg 46.7%

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

      4. unsub-neg 46.7%

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

   7. Simplified 46.7%

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

   if -8.8000000000000004e-254 < y2 < -1.7999999999999999e-270

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y4 around inf 34.3%

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

   5. Taylor expanded in y1 around inf 52.2%

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

   if -1.7999999999999999e-270 < y2 < -3.39999999999999989e-307

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in y0 around inf 50.8%

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

      1. mul-1-neg 50.8%

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

   6. Simplified 50.8%

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

   7. Taylor expanded in c around 0 50.8%

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

   if -3.39999999999999989e-307 < y2 < 1.55000000000000007e-282

   1. Initial program 56.2%

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

   3. Simplified 56.2%

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

   4. Taylor expanded in c around inf 44.6%

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

   5. Taylor expanded in x around inf 66.8%

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

      1. *-commutative 66.8%

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

      2. +-commutative 66.8%

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

      3. mul-1-neg 66.8%

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

      4. *-commutative 66.8%

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

      5. unsub-neg 66.8%

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

      6. *-commutative 66.8%

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

   7. Simplified 66.8%

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

   8. Taylor expanded in y0 around 0 66.8%

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

      1. neg-mul-1 66.8%

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

      2. distribute-rgt-neg-in 66.8%

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

   10. Simplified 66.8%

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

   if 1.55000000000000007e-282 < y2 < 2.1e-69

   1. Initial program 33.5%

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

   3. Simplified 33.5%

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

   4. Taylor expanded in x around inf 55.3%

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

   5. Taylor expanded in y around 0 51.3%

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

   if 4.1e49 < y2 < 2.39999999999999983e113

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 2.39999999999999983e113 < y2 < 1.90000000000000012e238

   1. Initial program 20.6%

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

   3. Simplified 24.1%

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

   4. Taylor expanded in y5 around inf 31.4%

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

      1. mul-1-neg 31.4%

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

      2. mul-1-neg 31.4%

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

      3. mul-1-neg 31.4%

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

      4. sub-neg 31.4%

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

      5. sub-neg 31.4%

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

   6. Simplified 31.4%

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

   7. Taylor expanded in y2 around inf 59.3%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 9 regimes into one program.

4. Final simplification 55.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.35 \cdot 10^{-12}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -1.05 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -8.8 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-270}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -3.4 \cdot 10^{-307}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 1.55 \cdot 10^{-282}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-69}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 4.1 \cdot 10^{+49}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+113}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{+238}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 14: 34.8% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right)\\ t_3 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -2.15 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -4 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -3.25 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -8.8 \cdot 10^{-271}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{-308}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 8.5 \cdot 10^{-283}:\\ \;\;\;\;c \cdot \left(x \cdot \frac{\left(y0 \cdot y2\right) \cdot \left(y0 \cdot y2\right) - \left(y \cdot i\right) \cdot \left(y \cdot i\right)}{y0 \cdot y2 + y \cdot i}\right)\\ \mathbf{elif}\;y2 \leq 1.46 \cdot 10^{-61}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_1 + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{+48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{+114}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.1 \cdot 10^{+240}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))))
        (t_3 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -2.15e-12)
     t_2
     (if (<= y2 -4e-72)
       t_3
       (if (<= y2 -3.25e-254)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y2 -8.8e-271)
           (* y4 (* y1 (- (* k y2) (* j y3))))
           (if (<= y2 5.8e-308)
             (* y0 (- (* y5 (- (* j y3) (* k y2))) (* b (- (* x j) (* z k)))))
             (if (<= y2 8.5e-283)
               (*
                c
                (*
                 x
                 (/
                  (- (* (* y0 y2) (* y0 y2)) (* (* y i) (* y i)))
                  (+ (* y0 y2) (* y i)))))
               (if (<= y2 1.46e-61)
                 (* x (+ (* y2 t_1) (* j (- (* i y1) (* b y0)))))
                 (if (<= y2 3.5e+48)
                   t_3
                   (if (<= y2 5.5e+114)
                     (* (* k y4) (- (* y1 y2) (* y b)))
                     (if (<= y2 1.1e+240)
                       (* y5 (* y2 (- (* t a) (* k y0))))
                       t_2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -2.15e-12) {
		tmp = t_2;
	} else if (y2 <= -4e-72) {
		tmp = t_3;
	} else if (y2 <= -3.25e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -8.8e-271) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= 5.8e-308) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 8.5e-283) {
		tmp = c * (x * ((((y0 * y2) * (y0 * y2)) - ((y * i) * (y * i))) / ((y0 * y2) + (y * i))));
	} else if (y2 <= 1.46e-61) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 3.5e+48) {
		tmp = t_3;
	} else if (y2 <= 5.5e+114) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if (y2 <= 1.1e+240) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
    t_3 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-2.15d-12)) then
        tmp = t_2
    else if (y2 <= (-4d-72)) then
        tmp = t_3
    else if (y2 <= (-3.25d-254)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= (-8.8d-271)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y2 <= 5.8d-308) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))))
    else if (y2 <= 8.5d-283) then
        tmp = c * (x * ((((y0 * y2) * (y0 * y2)) - ((y * i) * (y * i))) / ((y0 * y2) + (y * i))))
    else if (y2 <= 1.46d-61) then
        tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 3.5d+48) then
        tmp = t_3
    else if (y2 <= 5.5d+114) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if (y2 <= 1.1d+240) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -2.15e-12) {
		tmp = t_2;
	} else if (y2 <= -4e-72) {
		tmp = t_3;
	} else if (y2 <= -3.25e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= -8.8e-271) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= 5.8e-308) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 8.5e-283) {
		tmp = c * (x * ((((y0 * y2) * (y0 * y2)) - ((y * i) * (y * i))) / ((y0 * y2) + (y * i))));
	} else if (y2 <= 1.46e-61) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 3.5e+48) {
		tmp = t_3;
	} else if (y2 <= 5.5e+114) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if (y2 <= 1.1e+240) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
	t_3 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -2.15e-12:
		tmp = t_2
	elif y2 <= -4e-72:
		tmp = t_3
	elif y2 <= -3.25e-254:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= -8.8e-271:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y2 <= 5.8e-308:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))))
	elif y2 <= 8.5e-283:
		tmp = c * (x * ((((y0 * y2) * (y0 * y2)) - ((y * i) * (y * i))) / ((y0 * y2) + (y * i))))
	elif y2 <= 1.46e-61:
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 3.5e+48:
		tmp = t_3
	elif y2 <= 5.5e+114:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif y2 <= 1.1e+240:
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)))
	t_3 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -2.15e-12)
		tmp = t_2;
	elseif (y2 <= -4e-72)
		tmp = t_3;
	elseif (y2 <= -3.25e-254)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= -8.8e-271)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y2 <= 5.8e-308)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(b * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y2 <= 8.5e-283)
		tmp = Float64(c * Float64(x * Float64(Float64(Float64(Float64(y0 * y2) * Float64(y0 * y2)) - Float64(Float64(y * i) * Float64(y * i))) / Float64(Float64(y0 * y2) + Float64(y * i)))));
	elseif (y2 <= 1.46e-61)
		tmp = Float64(x * Float64(Float64(y2 * t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 3.5e+48)
		tmp = t_3;
	elseif (y2 <= 5.5e+114)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif (y2 <= 1.1e+240)
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	t_3 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -2.15e-12)
		tmp = t_2;
	elseif (y2 <= -4e-72)
		tmp = t_3;
	elseif (y2 <= -3.25e-254)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= -8.8e-271)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y2 <= 5.8e-308)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) - (b * ((x * j) - (z * k))));
	elseif (y2 <= 8.5e-283)
		tmp = c * (x * ((((y0 * y2) * (y0 * y2)) - ((y * i) * (y * i))) / ((y0 * y2) + (y * i))));
	elseif (y2 <= 1.46e-61)
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 3.5e+48)
		tmp = t_3;
	elseif (y2 <= 5.5e+114)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif (y2 <= 1.1e+240)
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -2.15e-12], t$95$2, If[LessEqual[y2, -4e-72], t$95$3, If[LessEqual[y2, -3.25e-254], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8.8e-271], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.8e-308], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 8.5e-283], N[(c * N[(x * N[(N[(N[(N[(y0 * y2), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision] - N[(N[(y * i), $MachinePrecision] * N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[(y0 * y2), $MachinePrecision] + N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.46e-61], N[(x * N[(N[(y2 * t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.5e+48], t$95$3, If[LessEqual[y2, 5.5e+114], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.1e+240], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -2.14999999999999993e-12 or 1.1000000000000001e240 < y2

   1. Initial program 30.4%

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

   3. Simplified 30.4%

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

   4. Taylor expanded in y2 around inf 61.4%

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

   5. Taylor expanded in t around 0 54.3%

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

   if -2.14999999999999993e-12 < y2 < -3.9999999999999999e-72 or 1.46e-61 < y2 < 3.4999999999999997e48

   1. Initial program 27.5%

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

   3. Simplified 34.4%

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

   4. Taylor expanded in y around inf 52.2%

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

      1. mul-1-neg 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in x around inf 66.2%

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

   if -3.9999999999999999e-72 < y2 < -3.25e-254

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in c around inf 44.1%

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

   5. Taylor expanded in z around inf 46.7%

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

      1. associate-*r* 46.7%

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

      2. +-commutative 46.7%

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

      3. mul-1-neg 46.7%

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

      4. unsub-neg 46.7%

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

   7. Simplified 46.7%

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

   if -3.25e-254 < y2 < -8.7999999999999998e-271

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y4 around inf 34.3%

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

   5. Taylor expanded in y1 around inf 52.2%

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

   if -8.7999999999999998e-271 < y2 < 5.8000000000000001e-308

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in y0 around inf 50.8%

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

      1. mul-1-neg 50.8%

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

   6. Simplified 50.8%

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

   7. Taylor expanded in c around 0 50.8%

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

   if 5.8000000000000001e-308 < y2 < 8.49999999999999997e-283

   1. Initial program 56.2%

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

   3. Simplified 56.2%

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

   4. Taylor expanded in c around inf 44.6%

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

   5. Taylor expanded in x around inf 66.8%

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

      1. *-commutative 66.8%

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

      2. +-commutative 66.8%

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

      3. mul-1-neg 66.8%

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

      4. *-commutative 66.8%

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

      5. unsub-neg 66.8%

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

      6. *-commutative 66.8%

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

   7. Simplified 66.8%

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

      1. flip-- 66.8%

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

      2. *-commutative 66.8%

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

      3. *-commutative 66.8%

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

      4. *-commutative 66.8%

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

   9. Applied egg-rr 66.8%

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

   if 8.49999999999999997e-283 < y2 < 1.46e-61

   1. Initial program 33.5%

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

   3. Simplified 33.5%

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

   4. Taylor expanded in x around inf 55.3%

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

   5. Taylor expanded in y around 0 51.3%

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

   if 3.4999999999999997e48 < y2 < 5.5000000000000001e114

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 5.5000000000000001e114 < y2 < 1.1000000000000001e240

   1. Initial program 20.6%

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

   3. Simplified 24.1%

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

   4. Taylor expanded in y5 around inf 31.4%

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

      1. mul-1-neg 31.4%

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

      2. mul-1-neg 31.4%

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

      3. mul-1-neg 31.4%

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

      4. sub-neg 31.4%

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

      5. sub-neg 31.4%

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

   6. Simplified 31.4%

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

   7. Taylor expanded in y2 around inf 59.3%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 9 regimes into one program.

4. Final simplification 55.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.15 \cdot 10^{-12}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -4 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -3.25 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -8.8 \cdot 10^{-271}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{-308}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 8.5 \cdot 10^{-283}:\\ \;\;\;\;c \cdot \left(x \cdot \frac{\left(y0 \cdot y2\right) \cdot \left(y0 \cdot y2\right) - \left(y \cdot i\right) \cdot \left(y \cdot i\right)}{y0 \cdot y2 + y \cdot i}\right)\\ \mathbf{elif}\;y2 \leq 1.46 \cdot 10^{-61}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{+48}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{+114}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.1 \cdot 10^{+240}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 15: 35.0% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_1\right)\\ t_3 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -4.45 \cdot 10^{-13}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -8.6 \cdot 10^{-73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -3.1 \cdot 10^{-243}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 2.2 \cdot 10^{-50}:\\ \;\;\;\;x \cdot \left(y2 \cdot t_1 + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{+50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{+121}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.1 \cdot 10^{+239} \lor \neg \left(y2 \leq 3 \cdot 10^{+290}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y2 (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))))
        (t_3 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -4.45e-13)
     t_2
     (if (<= y2 -8.6e-73)
       t_3
       (if (<= y2 -3.1e-243)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y2 2.2e-50)
           (* x (+ (* y2 t_1) (* j (- (* i y1) (* b y0)))))
           (if (<= y2 5.8e+50)
             t_3
             (if (<= y2 1.5e+121)
               (* (* k y4) (- (* y1 y2) (* y b)))
               (if (or (<= y2 1.1e+239) (not (<= y2 3e+290)))
                 (* y5 (* y2 (- (* t a) (* k y0))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -4.45e-13) {
		tmp = t_2;
	} else if (y2 <= -8.6e-73) {
		tmp = t_3;
	} else if (y2 <= -3.1e-243) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 2.2e-50) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 5.8e+50) {
		tmp = t_3;
	} else if (y2 <= 1.5e+121) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 1.1e+239) || !(y2 <= 3e+290)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
    t_3 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-4.45d-13)) then
        tmp = t_2
    else if (y2 <= (-8.6d-73)) then
        tmp = t_3
    else if (y2 <= (-3.1d-243)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 2.2d-50) then
        tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 5.8d+50) then
        tmp = t_3
    else if (y2 <= 1.5d+121) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else if ((y2 <= 1.1d+239) .or. (.not. (y2 <= 3d+290))) then
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	double t_3 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -4.45e-13) {
		tmp = t_2;
	} else if (y2 <= -8.6e-73) {
		tmp = t_3;
	} else if (y2 <= -3.1e-243) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 2.2e-50) {
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 5.8e+50) {
		tmp = t_3;
	} else if (y2 <= 1.5e+121) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else if ((y2 <= 1.1e+239) || !(y2 <= 3e+290)) {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1))
	t_3 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -4.45e-13:
		tmp = t_2
	elif y2 <= -8.6e-73:
		tmp = t_3
	elif y2 <= -3.1e-243:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 2.2e-50:
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 5.8e+50:
		tmp = t_3
	elif y2 <= 1.5e+121:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	elif (y2 <= 1.1e+239) or not (y2 <= 3e+290):
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)))
	t_3 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -4.45e-13)
		tmp = t_2;
	elseif (y2 <= -8.6e-73)
		tmp = t_3;
	elseif (y2 <= -3.1e-243)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 2.2e-50)
		tmp = Float64(x * Float64(Float64(y2 * t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 5.8e+50)
		tmp = t_3;
	elseif (y2 <= 1.5e+121)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	elseif ((y2 <= 1.1e+239) || !(y2 <= 3e+290))
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (x * t_1));
	t_3 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -4.45e-13)
		tmp = t_2;
	elseif (y2 <= -8.6e-73)
		tmp = t_3;
	elseif (y2 <= -3.1e-243)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 2.2e-50)
		tmp = x * ((y2 * t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 5.8e+50)
		tmp = t_3;
	elseif (y2 <= 1.5e+121)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	elseif ((y2 <= 1.1e+239) || ~((y2 <= 3e+290)))
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.45e-13], t$95$2, If[LessEqual[y2, -8.6e-73], t$95$3, If[LessEqual[y2, -3.1e-243], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.2e-50], N[(x * N[(N[(y2 * t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.8e+50], t$95$3, If[LessEqual[y2, 1.5e+121], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y2, 1.1e+239], N[Not[LessEqual[y2, 3e+290]], $MachinePrecision]], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -4.4500000000000002e-13 or 1.10000000000000002e239 < y2 < 3e290

   1. Initial program 32.4%

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

   3. Simplified 32.4%

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

   4. Taylor expanded in y2 around inf 62.7%

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

   5. Taylor expanded in t around 0 56.5%

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

   if -4.4500000000000002e-13 < y2 < -8.5999999999999998e-73 or 2.1999999999999999e-50 < y2 < 5.8e50

   1. Initial program 27.5%

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

   3. Simplified 34.4%

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

   4. Taylor expanded in y around inf 52.2%

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

      1. mul-1-neg 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in x around inf 66.2%

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

   if -8.5999999999999998e-73 < y2 < -3.0999999999999999e-243

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in c around inf 42.5%

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

   5. Taylor expanded in z around inf 45.2%

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

      1. associate-*r* 45.2%

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

      2. +-commutative 45.2%

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

      3. mul-1-neg 45.2%

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

      4. unsub-neg 45.2%

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

   7. Simplified 45.2%

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

   if -3.0999999999999999e-243 < y2 < 2.1999999999999999e-50

   1. Initial program 32.6%

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

   3. Simplified 32.6%

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

   4. Taylor expanded in x around inf 49.3%

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

   5. Taylor expanded in y around 0 45.2%

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

   if 5.8e50 < y2 < 1.5000000000000001e121

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in y4 around inf 58.6%

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

   5. Taylor expanded in k around inf 67.4%

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

      1. associate-*r* 67.4%

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

      2. *-commutative 67.4%

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

      3. +-commutative 67.4%

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

      4. mul-1-neg 67.4%

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

      5. unsub-neg 67.4%

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

      6. *-commutative 67.4%

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

   7. Simplified 67.4%

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

   if 1.5000000000000001e121 < y2 < 1.10000000000000002e239 or 3e290 < y2

   1. Initial program 17.6%

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

   3. Simplified 20.5%

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

   4. Taylor expanded in y5 around inf 32.7%

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

      1. mul-1-neg 32.7%

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

      2. mul-1-neg 32.7%

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

      3. mul-1-neg 32.7%

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

      4. sub-neg 32.7%

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

      5. sub-neg 32.7%

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

   6. Simplified 32.7%

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

   7. Taylor expanded in y2 around inf 59.4%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 6 regimes into one program.

4. Final simplification 53.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.45 \cdot 10^{-13}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -8.6 \cdot 10^{-73}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -3.1 \cdot 10^{-243}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 2.2 \cdot 10^{-50}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{+50}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{+121}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.1 \cdot 10^{+239} \lor \neg \left(y2 \leq 3 \cdot 10^{+290}\right):\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 16: 30.4% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y2 \leq -4.5 \cdot 10^{+236}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -2.05 \cdot 10^{+48}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.4 \cdot 10^{-11}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -7.2 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -1.35 \cdot 10^{-251}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.95 \cdot 10^{-187}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 4.6 \cdot 10^{-107}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 3.6 \cdot 10^{-68}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 5 \cdot 10^{+50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 2.3 \cdot 10^{+177}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i)))))
        (t_2 (* x (* j (- (* i y1) (* b y0))))))
   (if (<= y2 -4.5e+236)
     (* y4 (* y1 (- (* k y2) (* j y3))))
     (if (<= y2 -2.05e+48)
       (* y0 (* k (- (* z b) (* y2 y5))))
       (if (<= y2 -1.4e-11)
         (* y1 (* y2 (- (* k y4) (* x a))))
         (if (<= y2 -7.2e-72)
           t_1
           (if (<= y2 -1.35e-251)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= y2 1.95e-187)
               t_2
               (if (<= y2 4.6e-107)
                 (* c (* x (- (* y0 y2) (* y i))))
                 (if (<= y2 3.6e-68)
                   t_2
                   (if (<= y2 5e+50)
                     t_1
                     (if (<= y2 2.3e+177)
                       (* (* k y4) (- (* y1 y2) (* y b)))
                       (* c (* y2 (- (* x y0) (* 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 t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -4.5e+236) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -2.05e+48) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y2 <= -1.4e-11) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -7.2e-72) {
		tmp = t_1;
	} else if (y2 <= -1.35e-251) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.95e-187) {
		tmp = t_2;
	} else if (y2 <= 4.6e-107) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 3.6e-68) {
		tmp = t_2;
	} else if (y2 <= 5e+50) {
		tmp = t_1;
	} else if (y2 <= 2.3e+177) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else {
		tmp = c * (y2 * ((x * y0) - (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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    t_2 = x * (j * ((i * y1) - (b * y0)))
    if (y2 <= (-4.5d+236)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y2 <= (-2.05d+48)) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (y2 <= (-1.4d-11)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-7.2d-72)) then
        tmp = t_1
    else if (y2 <= (-1.35d-251)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.95d-187) then
        tmp = t_2
    else if (y2 <= 4.6d-107) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 3.6d-68) then
        tmp = t_2
    else if (y2 <= 5d+50) then
        tmp = t_1
    else if (y2 <= 2.3d+177) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else
        tmp = c * (y2 * ((x * y0) - (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 t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -4.5e+236) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -2.05e+48) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y2 <= -1.4e-11) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -7.2e-72) {
		tmp = t_1;
	} else if (y2 <= -1.35e-251) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.95e-187) {
		tmp = t_2;
	} else if (y2 <= 4.6e-107) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 3.6e-68) {
		tmp = t_2;
	} else if (y2 <= 5e+50) {
		tmp = t_1;
	} else if (y2 <= 2.3e+177) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	t_2 = x * (j * ((i * y1) - (b * y0)))
	tmp = 0
	if y2 <= -4.5e+236:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y2 <= -2.05e+48:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif y2 <= -1.4e-11:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -7.2e-72:
		tmp = t_1
	elif y2 <= -1.35e-251:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.95e-187:
		tmp = t_2
	elif y2 <= 4.6e-107:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 3.6e-68:
		tmp = t_2
	elif y2 <= 5e+50:
		tmp = t_1
	elif y2 <= 2.3e+177:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	else:
		tmp = c * (y2 * ((x * y0) - (t * 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(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y2 <= -4.5e+236)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y2 <= -2.05e+48)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (y2 <= -1.4e-11)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -7.2e-72)
		tmp = t_1;
	elseif (y2 <= -1.35e-251)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.95e-187)
		tmp = t_2;
	elseif (y2 <= 4.6e-107)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 3.6e-68)
		tmp = t_2;
	elseif (y2 <= 5e+50)
		tmp = t_1;
	elseif (y2 <= 2.3e+177)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	else
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - 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)
	t_1 = y * (x * ((a * b) - (c * i)));
	t_2 = x * (j * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y2 <= -4.5e+236)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y2 <= -2.05e+48)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (y2 <= -1.4e-11)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -7.2e-72)
		tmp = t_1;
	elseif (y2 <= -1.35e-251)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.95e-187)
		tmp = t_2;
	elseif (y2 <= 4.6e-107)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 3.6e-68)
		tmp = t_2;
	elseif (y2 <= 5e+50)
		tmp = t_1;
	elseif (y2 <= 2.3e+177)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	else
		tmp = c * (y2 * ((x * y0) - (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_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.5e+236], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.05e+48], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.4e-11], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.2e-72], t$95$1, If[LessEqual[y2, -1.35e-251], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.95e-187], t$95$2, If[LessEqual[y2, 4.6e-107], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.6e-68], t$95$2, If[LessEqual[y2, 5e+50], t$95$1, If[LessEqual[y2, 2.3e+177], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -4.50000000000000018e236

   1. Initial program 11.8%

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

   3. Simplified 11.8%

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

   4. Taylor expanded in y4 around inf 23.5%

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

   5. Taylor expanded in y1 around inf 70.8%

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

   if -4.50000000000000018e236 < y2 < -2.0500000000000001e48

   1. Initial program 38.7%

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

   3. Simplified 38.7%

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

   4. Taylor expanded in y0 around inf 33.2%

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

      1. mul-1-neg 33.2%

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

   6. Simplified 33.2%

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

   7. Taylor expanded in k around inf 52.1%

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

   if -2.0500000000000001e48 < y2 < -1.4e-11

   1. Initial program 49.9%

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

   3. Simplified 49.9%

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

   4. Taylor expanded in y2 around inf 57.7%

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

   5. Taylor expanded in y1 around inf 44.8%

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

      1. *-commutative 44.8%

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

      2. +-commutative 44.8%

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

      3. mul-1-neg 44.8%

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

      4. unsub-neg 44.8%

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

      5. *-commutative 44.8%

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

      6. *-commutative 44.8%

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

   7. Simplified 44.8%

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

   if -1.4e-11 < y2 < -7.2e-72 or 3.60000000000000007e-68 < y2 < 5e50

   1. Initial program 27.5%

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

   3. Simplified 34.4%

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

   4. Taylor expanded in y around inf 52.2%

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

      1. mul-1-neg 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in x around inf 66.2%

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

   if -7.2e-72 < y2 < -1.35000000000000005e-251

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in c around inf 44.1%

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

   5. Taylor expanded in z around inf 46.7%

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

      1. associate-*r* 46.7%

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

      2. +-commutative 46.7%

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

      3. mul-1-neg 46.7%

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

      4. unsub-neg 46.7%

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

   7. Simplified 46.7%

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

   if -1.35000000000000005e-251 < y2 < 1.9499999999999999e-187 or 4.60000000000000007e-107 < y2 < 3.60000000000000007e-68

   1. Initial program 31.8%

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

   3. Simplified 31.8%

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

   4. Taylor expanded in x around inf 53.4%

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

   5. Taylor expanded in j around inf 39.9%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.9%

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

      2. *-commutative 39.9%

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

      3. associate-*l* 46.8%

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

      4. *-commutative 46.8%

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

   7. Simplified 46.8%

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

   if 1.9499999999999999e-187 < y2 < 4.60000000000000007e-107

   1. Initial program 40.0%

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

   3. Simplified 40.0%

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

   4. Taylor expanded in c around inf 72.5%

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

   5. Taylor expanded in x around inf 51.4%

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

      1. *-commutative 51.4%

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

      2. +-commutative 51.4%

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

      3. mul-1-neg 51.4%

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

      4. *-commutative 51.4%

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

      5. unsub-neg 51.4%

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

      6. *-commutative 51.4%

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

   7. Simplified 51.4%

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

   if 5e50 < y2 < 2.2999999999999999e177

   1. Initial program 13.6%

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

   3. Simplified 13.6%

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

   4. Taylor expanded in y4 around inf 45.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 50.9%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 55.2%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right)} \]

      2. *-commutative 55.2%

         \[\leadsto \color{blue}{\left(y4 \cdot k\right)} \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right) \]

      3. +-commutative 55.2%

         \[\leadsto \left(y4 \cdot k\right) \cdot \color{blue}{\left(y1 \cdot y2 + -1 \cdot \left(y \cdot b\right)\right)} \]

      4. mul-1-neg 55.2%

         \[\leadsto \left(y4 \cdot k\right) \cdot \left(y1 \cdot y2 + \color{blue}{\left(-y \cdot b\right)}\right) \]

      5. unsub-neg 55.2%

         \[\leadsto \left(y4 \cdot k\right) \cdot \color{blue}{\left(y1 \cdot y2 - y \cdot b\right)} \]

      6. *-commutative 55.2%

         \[\leadsto \left(y4 \cdot k\right) \cdot \left(\color{blue}{y2 \cdot y1} - y \cdot b\right) \]

   7. Simplified 55.2%

      \[\leadsto \color{blue}{\left(y4 \cdot k\right) \cdot \left(y2 \cdot y1 - y \cdot b\right)} \]

   if 2.2999999999999999e177 < y2

   1. Initial program 21.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 35.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y2 around inf 54.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot x - y4 \cdot t\right) \cdot y2\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 53.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.5 \cdot 10^{+236}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -2.05 \cdot 10^{+48}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.4 \cdot 10^{-11}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -7.2 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -1.35 \cdot 10^{-251}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.95 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 4.6 \cdot 10^{-107}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 3.6 \cdot 10^{-68}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 5 \cdot 10^{+50}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.3 \cdot 10^{+177}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \end{array} \]

Alternative 17: 29.8% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y2 \leq -7.5 \cdot 10^{+231}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.1 \cdot 10^{+47}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.62 \cdot 10^{-12}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -3.7 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -2 \cdot 10^{-251}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.8 \cdot 10^{-187}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 6.6 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.8 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+59}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i)))))
        (t_2 (* x (* j (- (* i y1) (* b y0))))))
   (if (<= y2 -7.5e+231)
     (* y4 (* y1 (- (* k y2) (* j y3))))
     (if (<= y2 -6.1e+47)
       (* y0 (* k (- (* z b) (* y2 y5))))
       (if (<= y2 -1.62e-12)
         (* y1 (* y2 (- (* k y4) (* x a))))
         (if (<= y2 -3.7e-72)
           t_1
           (if (<= y2 -2e-251)
             (* z (* c (- (* t i) (* y0 y3))))
             (if (<= y2 1.8e-187)
               t_2
               (if (<= y2 6.6e-108)
                 (* c (* x (- (* y0 y2) (* y i))))
                 (if (<= y2 1.8e-59)
                   t_2
                   (if (<= y2 7.8e+59)
                     t_1
                     (* c (* t (- (* z i) (* y2 y4)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -7.5e+231) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -6.1e+47) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y2 <= -1.62e-12) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -3.7e-72) {
		tmp = t_1;
	} else if (y2 <= -2e-251) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.8e-187) {
		tmp = t_2;
	} else if (y2 <= 6.6e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 1.8e-59) {
		tmp = t_2;
	} else if (y2 <= 7.8e+59) {
		tmp = t_1;
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    t_2 = x * (j * ((i * y1) - (b * y0)))
    if (y2 <= (-7.5d+231)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y2 <= (-6.1d+47)) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (y2 <= (-1.62d-12)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-3.7d-72)) then
        tmp = t_1
    else if (y2 <= (-2d-251)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.8d-187) then
        tmp = t_2
    else if (y2 <= 6.6d-108) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 1.8d-59) then
        tmp = t_2
    else if (y2 <= 7.8d+59) then
        tmp = t_1
    else
        tmp = c * (t * ((z * i) - (y2 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -7.5e+231) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -6.1e+47) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y2 <= -1.62e-12) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -3.7e-72) {
		tmp = t_1;
	} else if (y2 <= -2e-251) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.8e-187) {
		tmp = t_2;
	} else if (y2 <= 6.6e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 1.8e-59) {
		tmp = t_2;
	} else if (y2 <= 7.8e+59) {
		tmp = t_1;
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	t_2 = x * (j * ((i * y1) - (b * y0)))
	tmp = 0
	if y2 <= -7.5e+231:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y2 <= -6.1e+47:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif y2 <= -1.62e-12:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -3.7e-72:
		tmp = t_1
	elif y2 <= -2e-251:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.8e-187:
		tmp = t_2
	elif y2 <= 6.6e-108:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 1.8e-59:
		tmp = t_2
	elif y2 <= 7.8e+59:
		tmp = t_1
	else:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y2 <= -7.5e+231)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y2 <= -6.1e+47)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (y2 <= -1.62e-12)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -3.7e-72)
		tmp = t_1;
	elseif (y2 <= -2e-251)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.8e-187)
		tmp = t_2;
	elseif (y2 <= 6.6e-108)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 1.8e-59)
		tmp = t_2;
	elseif (y2 <= 7.8e+59)
		tmp = t_1;
	else
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * ((a * b) - (c * i)));
	t_2 = x * (j * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y2 <= -7.5e+231)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y2 <= -6.1e+47)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (y2 <= -1.62e-12)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -3.7e-72)
		tmp = t_1;
	elseif (y2 <= -2e-251)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.8e-187)
		tmp = t_2;
	elseif (y2 <= 6.6e-108)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 1.8e-59)
		tmp = t_2;
	elseif (y2 <= 7.8e+59)
		tmp = t_1;
	else
		tmp = c * (t * ((z * i) - (y2 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -7.5e+231], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.1e+47], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.62e-12], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.7e-72], t$95$1, If[LessEqual[y2, -2e-251], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.8e-187], t$95$2, If[LessEqual[y2, 6.6e-108], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.8e-59], t$95$2, If[LessEqual[y2, 7.8e+59], t$95$1, N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -7.50000000000000008e231

   1. Initial program 11.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 23.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 70.8%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   if -7.50000000000000008e231 < y2 < -6.10000000000000019e47

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 33.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

   6. Simplified 33.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]

   7. Taylor expanded in k around inf 52.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y5 \cdot y2\right)\right)} \]

   if -6.10000000000000019e47 < y2 < -1.62e-12

   1. Initial program 49.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 49.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 57.7%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in y1 around inf 44.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right) \cdot y2\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.8%

         \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      2. +-commutative 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      3. mul-1-neg 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      4. unsub-neg 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      5. *-commutative 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

      6. *-commutative 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right)\right) \]

   7. Simplified 44.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(y4 \cdot k - x \cdot a\right)\right)} \]

   if -1.62e-12 < y2 < -3.6999999999999998e-72 or 1.8e-59 < y2 < 7.80000000000000043e59

   1. Initial program 28.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 50.5%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 50.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 50.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 63.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if -3.6999999999999998e-72 < y2 < -2.00000000000000003e-251

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in z around inf 46.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(y0 \cdot y3\right) + i \cdot t\right) \cdot z\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.7%

         \[\leadsto \color{blue}{\left(c \cdot \left(-1 \cdot \left(y0 \cdot y3\right) + i \cdot t\right)\right) \cdot z} \]

      2. +-commutative 46.7%

         \[\leadsto \left(c \cdot \color{blue}{\left(i \cdot t + -1 \cdot \left(y0 \cdot y3\right)\right)}\right) \cdot z \]

      3. mul-1-neg 46.7%

         \[\leadsto \left(c \cdot \left(i \cdot t + \color{blue}{\left(-y0 \cdot y3\right)}\right)\right) \cdot z \]

      4. unsub-neg 46.7%

         \[\leadsto \left(c \cdot \color{blue}{\left(i \cdot t - y0 \cdot y3\right)}\right) \cdot z \]

   7. Simplified 46.7%

      \[\leadsto \color{blue}{\left(c \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \cdot z} \]

   if -2.00000000000000003e-251 < y2 < 1.79999999999999997e-187 or 6.6000000000000004e-108 < y2 < 1.8e-59

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 53.4%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 39.9%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.9%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 39.9%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 46.8%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 46.8%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 46.8%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 1.79999999999999997e-187 < y2 < 6.6000000000000004e-108

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 72.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 51.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 51.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 7.80000000000000043e59 < y2

   1. Initial program 17.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 47.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot z - y4 \cdot y2\right) \cdot t\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 51.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -7.5 \cdot 10^{+231}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.1 \cdot 10^{+47}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.62 \cdot 10^{-12}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -3.7 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -2 \cdot 10^{-251}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.8 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 6.6 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.8 \cdot 10^{-59}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+59}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \]

Alternative 18: 32.2% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;x \leq -6.8 \cdot 10^{+120}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{+14}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-182}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-301}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-154}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-14}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{+200}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{+265}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i))))))
   (if (<= x -6.8e+120)
     t_1
     (if (<= x -2.3e+14)
       (* c (* x (- (* y0 y2) (* y i))))
       (if (<= x -2.35e-182)
         (* c (* y4 (- (* y y3) (* t y2))))
         (if (<= x 6.2e-301)
           (* y0 (* k (- (* z b) (* y2 y5))))
           (if (<= x 5.5e-154)
             (* c (* t (- (* z i) (* y2 y4))))
             (if (<= x 3.5e-14)
               (* t (* y5 (- (* a y2) (* i j))))
               (if (<= x 5.6e+200)
                 (* c (* y0 (- (* x y2) (* z y3))))
                 (if (<= x 8.8e+265)
                   (* x (* j (- (* i y1) (* b y0))))
                   t_1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (x <= -6.8e+120) {
		tmp = t_1;
	} else if (x <= -2.3e+14) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (x <= -2.35e-182) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 6.2e-301) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (x <= 5.5e-154) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (x <= 3.5e-14) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 5.6e+200) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (x <= 8.8e+265) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    if (x <= (-6.8d+120)) then
        tmp = t_1
    else if (x <= (-2.3d+14)) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (x <= (-2.35d-182)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (x <= 6.2d-301) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (x <= 5.5d-154) then
        tmp = c * (t * ((z * i) - (y2 * y4)))
    else if (x <= 3.5d-14) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (x <= 5.6d+200) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (x <= 8.8d+265) then
        tmp = x * (j * ((i * y1) - (b * y0)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (x <= -6.8e+120) {
		tmp = t_1;
	} else if (x <= -2.3e+14) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (x <= -2.35e-182) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 6.2e-301) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (x <= 5.5e-154) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (x <= 3.5e-14) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 5.6e+200) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (x <= 8.8e+265) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if x <= -6.8e+120:
		tmp = t_1
	elif x <= -2.3e+14:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif x <= -2.35e-182:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif x <= 6.2e-301:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif x <= 5.5e-154:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	elif x <= 3.5e-14:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif x <= 5.6e+200:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif x <= 8.8e+265:
		tmp = x * (j * ((i * y1) - (b * y0)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (x <= -6.8e+120)
		tmp = t_1;
	elseif (x <= -2.3e+14)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (x <= -2.35e-182)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (x <= 6.2e-301)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (x <= 5.5e-154)
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	elseif (x <= 3.5e-14)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (x <= 5.6e+200)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (x <= 8.8e+265)
		tmp = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (x <= -6.8e+120)
		tmp = t_1;
	elseif (x <= -2.3e+14)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (x <= -2.35e-182)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (x <= 6.2e-301)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (x <= 5.5e-154)
		tmp = c * (t * ((z * i) - (y2 * y4)));
	elseif (x <= 3.5e-14)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (x <= 5.6e+200)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (x <= 8.8e+265)
		tmp = x * (j * ((i * y1) - (b * y0)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -6.8e+120], t$95$1, If[LessEqual[x, -2.3e+14], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.35e-182], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.2e-301], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.5e-154], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.5e-14], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.6e+200], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.8e+265], N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -6.79999999999999998e120 or 8.7999999999999996e265 < x

   1. Initial program 19.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 43.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 43.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 52.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if -6.79999999999999998e120 < x < -2.3e14

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 42.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 48.8%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 48.8%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 48.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 48.8%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 48.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 48.8%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -2.3e14 < x < -2.35e-182

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 49.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 49.4%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -2.35e-182 < x < 6.20000000000000029e-301

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 56.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 56.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

   6. Simplified 56.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]

   7. Taylor expanded in k around inf 45.6%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y5 \cdot y2\right)\right)} \]

   if 6.20000000000000029e-301 < x < 5.50000000000000002e-154

   1. Initial program 33.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 46.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 47.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot z - y4 \cdot y2\right) \cdot t\right)} \]

   if 5.50000000000000002e-154 < x < 3.5000000000000002e-14

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 38.6%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 38.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 38.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 38.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 38.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 38.6%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 46.9%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if 3.5000000000000002e-14 < x < 5.59999999999999969e200

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 33.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 44.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 5.59999999999999969e200 < x < 8.7999999999999996e265

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 67.4%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 67.5%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 67.5%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 67.5%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 49.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -6.8 \cdot 10^{+120}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{+14}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-182}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-301}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-154}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-14}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{+200}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{+265}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 19: 30.1% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -3.7 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{+179}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -9.6 \cdot 10^{-14}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq 2.9 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 6.3 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+60}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* j (- (* i y1) (* b y0)))))
        (t_2 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -3.7e+242)
     (* c (* y4 (- (* y y3) (* t y2))))
     (if (<= y2 -1.95e+179)
       (* t (* y5 (- (* a y2) (* i j))))
       (if (<= y2 -9.6e-14)
         (* y1 (* y2 (- (* k y4) (* x a))))
         (if (<= y2 2.9e-282)
           t_2
           (if (<= y2 2.1e-187)
             t_1
             (if (<= y2 6.3e-108)
               (* c (* x (- (* y0 y2) (* y i))))
               (if (<= y2 6.5e-68)
                 t_1
                 (if (<= y2 2.1e+60)
                   t_2
                   (* c (* t (- (* z i) (* y2 y4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -3.7e+242) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y2 <= -1.95e+179) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (y2 <= -9.6e-14) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= 2.9e-282) {
		tmp = t_2;
	} else if (y2 <= 2.1e-187) {
		tmp = t_1;
	} else if (y2 <= 6.3e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 6.5e-68) {
		tmp = t_1;
	} else if (y2 <= 2.1e+60) {
		tmp = t_2;
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (j * ((i * y1) - (b * y0)))
    t_2 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-3.7d+242)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y2 <= (-1.95d+179)) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (y2 <= (-9.6d-14)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= 2.9d-282) then
        tmp = t_2
    else if (y2 <= 2.1d-187) then
        tmp = t_1
    else if (y2 <= 6.3d-108) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 6.5d-68) then
        tmp = t_1
    else if (y2 <= 2.1d+60) then
        tmp = t_2
    else
        tmp = c * (t * ((z * i) - (y2 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -3.7e+242) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y2 <= -1.95e+179) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (y2 <= -9.6e-14) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= 2.9e-282) {
		tmp = t_2;
	} else if (y2 <= 2.1e-187) {
		tmp = t_1;
	} else if (y2 <= 6.3e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 6.5e-68) {
		tmp = t_1;
	} else if (y2 <= 2.1e+60) {
		tmp = t_2;
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (j * ((i * y1) - (b * y0)))
	t_2 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -3.7e+242:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y2 <= -1.95e+179:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif y2 <= -9.6e-14:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= 2.9e-282:
		tmp = t_2
	elif y2 <= 2.1e-187:
		tmp = t_1
	elif y2 <= 6.3e-108:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 6.5e-68:
		tmp = t_1
	elif y2 <= 2.1e+60:
		tmp = t_2
	else:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -3.7e+242)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y2 <= -1.95e+179)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (y2 <= -9.6e-14)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= 2.9e-282)
		tmp = t_2;
	elseif (y2 <= 2.1e-187)
		tmp = t_1;
	elseif (y2 <= 6.3e-108)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 6.5e-68)
		tmp = t_1;
	elseif (y2 <= 2.1e+60)
		tmp = t_2;
	else
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (j * ((i * y1) - (b * y0)));
	t_2 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -3.7e+242)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y2 <= -1.95e+179)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (y2 <= -9.6e-14)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= 2.9e-282)
		tmp = t_2;
	elseif (y2 <= 2.1e-187)
		tmp = t_1;
	elseif (y2 <= 6.3e-108)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 6.5e-68)
		tmp = t_1;
	elseif (y2 <= 2.1e+60)
		tmp = t_2;
	else
		tmp = c * (t * ((z * i) - (y2 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.7e+242], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.95e+179], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -9.6e-14], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.9e-282], t$95$2, If[LessEqual[y2, 2.1e-187], t$95$1, If[LessEqual[y2, 6.3e-108], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.5e-68], t$95$1, If[LessEqual[y2, 2.1e+60], t$95$2, N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -3.7e242

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 14.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 43.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 71.6%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -3.7e242 < y2 < -1.94999999999999987e179

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.4%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 36.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 36.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 36.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 36.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 36.4%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 64.9%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if -1.94999999999999987e179 < y2 < -9.599999999999999e-14

   1. Initial program 46.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 46.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 54.7%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in y1 around inf 42.4%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right) \cdot y2\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.4%

         \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      2. +-commutative 42.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      3. mul-1-neg 42.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      4. unsub-neg 42.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      5. *-commutative 42.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

      6. *-commutative 42.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right)\right) \]

   7. Simplified 42.4%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(y4 \cdot k - x \cdot a\right)\right)} \]

   if -9.599999999999999e-14 < y2 < 2.89999999999999998e-282 or 6.4999999999999997e-68 < y2 < 2.1000000000000001e60

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 42.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 42.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 43.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if 2.89999999999999998e-282 < y2 < 2.09999999999999992e-187 or 6.2999999999999997e-108 < y2 < 6.4999999999999997e-68

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 62.8%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 45.6%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.6%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 45.6%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 57.4%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 57.4%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 57.4%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 2.09999999999999992e-187 < y2 < 6.2999999999999997e-108

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 72.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 51.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 51.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 2.1000000000000001e60 < y2

   1. Initial program 17.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 47.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot z - y4 \cdot y2\right) \cdot t\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.7 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.95 \cdot 10^{+179}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -9.6 \cdot 10^{-14}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq 2.9 \cdot 10^{-282}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 6.3 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-68}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+60}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \]

Alternative 20: 29.6% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -1.45 \cdot 10^{+234}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{+48}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-13}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 3.1 \cdot 10^{-105}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.9 \cdot 10^{-67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 8 \cdot 10^{+63}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* j (- (* i y1) (* b y0)))))
        (t_2 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -1.45e+234)
     (* y4 (* y1 (- (* k y2) (* j y3))))
     (if (<= y2 -1.15e+48)
       (* y0 (* k (- (* z b) (* y2 y5))))
       (if (<= y2 -1.8e-13)
         (* y1 (* y2 (- (* k y4) (* x a))))
         (if (<= y2 1.35e-282)
           t_2
           (if (<= y2 2.1e-187)
             t_1
             (if (<= y2 3.1e-105)
               (* c (* x (- (* y0 y2) (* y i))))
               (if (<= y2 2.9e-67)
                 t_1
                 (if (<= y2 8e+63)
                   t_2
                   (* c (* t (- (* z i) (* y2 y4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -1.45e+234) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -1.15e+48) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y2 <= -1.8e-13) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= 1.35e-282) {
		tmp = t_2;
	} else if (y2 <= 2.1e-187) {
		tmp = t_1;
	} else if (y2 <= 3.1e-105) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 2.9e-67) {
		tmp = t_1;
	} else if (y2 <= 8e+63) {
		tmp = t_2;
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (j * ((i * y1) - (b * y0)))
    t_2 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-1.45d+234)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y2 <= (-1.15d+48)) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (y2 <= (-1.8d-13)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= 1.35d-282) then
        tmp = t_2
    else if (y2 <= 2.1d-187) then
        tmp = t_1
    else if (y2 <= 3.1d-105) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 2.9d-67) then
        tmp = t_1
    else if (y2 <= 8d+63) then
        tmp = t_2
    else
        tmp = c * (t * ((z * i) - (y2 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double t_2 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -1.45e+234) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -1.15e+48) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y2 <= -1.8e-13) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= 1.35e-282) {
		tmp = t_2;
	} else if (y2 <= 2.1e-187) {
		tmp = t_1;
	} else if (y2 <= 3.1e-105) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 2.9e-67) {
		tmp = t_1;
	} else if (y2 <= 8e+63) {
		tmp = t_2;
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (j * ((i * y1) - (b * y0)))
	t_2 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -1.45e+234:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y2 <= -1.15e+48:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif y2 <= -1.8e-13:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= 1.35e-282:
		tmp = t_2
	elif y2 <= 2.1e-187:
		tmp = t_1
	elif y2 <= 3.1e-105:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 2.9e-67:
		tmp = t_1
	elif y2 <= 8e+63:
		tmp = t_2
	else:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -1.45e+234)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y2 <= -1.15e+48)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (y2 <= -1.8e-13)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= 1.35e-282)
		tmp = t_2;
	elseif (y2 <= 2.1e-187)
		tmp = t_1;
	elseif (y2 <= 3.1e-105)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 2.9e-67)
		tmp = t_1;
	elseif (y2 <= 8e+63)
		tmp = t_2;
	else
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (j * ((i * y1) - (b * y0)));
	t_2 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -1.45e+234)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y2 <= -1.15e+48)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (y2 <= -1.8e-13)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= 1.35e-282)
		tmp = t_2;
	elseif (y2 <= 2.1e-187)
		tmp = t_1;
	elseif (y2 <= 3.1e-105)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 2.9e-67)
		tmp = t_1;
	elseif (y2 <= 8e+63)
		tmp = t_2;
	else
		tmp = c * (t * ((z * i) - (y2 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.45e+234], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.15e+48], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.8e-13], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.35e-282], t$95$2, If[LessEqual[y2, 2.1e-187], t$95$1, If[LessEqual[y2, 3.1e-105], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.9e-67], t$95$1, If[LessEqual[y2, 8e+63], t$95$2, N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -1.44999999999999993e234

   1. Initial program 11.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 23.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 70.8%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   if -1.44999999999999993e234 < y2 < -1.15e48

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 33.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

   6. Simplified 33.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]

   7. Taylor expanded in k around inf 52.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y5 \cdot y2\right)\right)} \]

   if -1.15e48 < y2 < -1.7999999999999999e-13

   1. Initial program 49.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 49.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 57.7%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in y1 around inf 44.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right) \cdot y2\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.8%

         \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      2. +-commutative 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      3. mul-1-neg 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      4. unsub-neg 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      5. *-commutative 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

      6. *-commutative 44.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right)\right) \]

   7. Simplified 44.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(y4 \cdot k - x \cdot a\right)\right)} \]

   if -1.7999999999999999e-13 < y2 < 1.34999999999999991e-282 or 2.90000000000000005e-67 < y2 < 8.00000000000000046e63

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 42.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 42.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 43.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if 1.34999999999999991e-282 < y2 < 2.09999999999999992e-187 or 3.10000000000000014e-105 < y2 < 2.90000000000000005e-67

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 62.8%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 45.6%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.6%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 45.6%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 57.4%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 57.4%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 57.4%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 2.09999999999999992e-187 < y2 < 3.10000000000000014e-105

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 72.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 51.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 51.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 8.00000000000000046e63 < y2

   1. Initial program 17.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 47.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot z - y4 \cdot y2\right) \cdot t\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 49.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.45 \cdot 10^{+234}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{+48}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-13}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{-282}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.1 \cdot 10^{-105}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 2.9 \cdot 10^{-67}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 8 \cdot 10^{+63}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \]

Alternative 21: 32.3% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ t_2 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y2 \leq -3.4 \cdot 10^{-12}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -8.5 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -1.5 \cdot 10^{-251}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.95 \cdot 10^{-187}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 2.15 \cdot 10^{-106}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 7.9 \cdot 10^{-50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{+122}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i)))))
        (t_2 (* x (* j (- (* i y1) (* b y0))))))
   (if (<= y2 -3.4e-12)
     (* y1 (* y2 (- (* k y4) (* x a))))
     (if (<= y2 -8.5e-72)
       t_1
       (if (<= y2 -1.5e-251)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y2 1.95e-187)
           t_2
           (if (<= y2 2.15e-106)
             (* c (* x (- (* y0 y2) (* y i))))
             (if (<= y2 7.9e-50)
               t_2
               (if (<= y2 5.5e+48)
                 t_1
                 (if (<= y2 1.7e+122)
                   (* (* k y4) (- (* y1 y2) (* y b)))
                   (* y5 (* y2 (- (* t a) (* k y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -3.4e-12) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -8.5e-72) {
		tmp = t_1;
	} else if (y2 <= -1.5e-251) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.95e-187) {
		tmp = t_2;
	} else if (y2 <= 2.15e-106) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 7.9e-50) {
		tmp = t_2;
	} else if (y2 <= 5.5e+48) {
		tmp = t_1;
	} else if (y2 <= 1.7e+122) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    t_2 = x * (j * ((i * y1) - (b * y0)))
    if (y2 <= (-3.4d-12)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-8.5d-72)) then
        tmp = t_1
    else if (y2 <= (-1.5d-251)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.95d-187) then
        tmp = t_2
    else if (y2 <= 2.15d-106) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 7.9d-50) then
        tmp = t_2
    else if (y2 <= 5.5d+48) then
        tmp = t_1
    else if (y2 <= 1.7d+122) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double t_2 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -3.4e-12) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -8.5e-72) {
		tmp = t_1;
	} else if (y2 <= -1.5e-251) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.95e-187) {
		tmp = t_2;
	} else if (y2 <= 2.15e-106) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 7.9e-50) {
		tmp = t_2;
	} else if (y2 <= 5.5e+48) {
		tmp = t_1;
	} else if (y2 <= 1.7e+122) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	t_2 = x * (j * ((i * y1) - (b * y0)))
	tmp = 0
	if y2 <= -3.4e-12:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -8.5e-72:
		tmp = t_1
	elif y2 <= -1.5e-251:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.95e-187:
		tmp = t_2
	elif y2 <= 2.15e-106:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 7.9e-50:
		tmp = t_2
	elif y2 <= 5.5e+48:
		tmp = t_1
	elif y2 <= 1.7e+122:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	else:
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	t_2 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y2 <= -3.4e-12)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -8.5e-72)
		tmp = t_1;
	elseif (y2 <= -1.5e-251)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.95e-187)
		tmp = t_2;
	elseif (y2 <= 2.15e-106)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 7.9e-50)
		tmp = t_2;
	elseif (y2 <= 5.5e+48)
		tmp = t_1;
	elseif (y2 <= 1.7e+122)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	else
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * ((a * b) - (c * i)));
	t_2 = x * (j * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y2 <= -3.4e-12)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -8.5e-72)
		tmp = t_1;
	elseif (y2 <= -1.5e-251)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.95e-187)
		tmp = t_2;
	elseif (y2 <= 2.15e-106)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 7.9e-50)
		tmp = t_2;
	elseif (y2 <= 5.5e+48)
		tmp = t_1;
	elseif (y2 <= 1.7e+122)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	else
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.4e-12], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8.5e-72], t$95$1, If[LessEqual[y2, -1.5e-251], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.95e-187], t$95$2, If[LessEqual[y2, 2.15e-106], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.9e-50], t$95$2, If[LessEqual[y2, 5.5e+48], t$95$1, If[LessEqual[y2, 1.7e+122], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -3.4000000000000001e-12

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 58.3%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in y1 around inf 44.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right) \cdot y2\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      2. +-commutative 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      3. mul-1-neg 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      4. unsub-neg 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      5. *-commutative 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

      6. *-commutative 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right)\right) \]

   7. Simplified 44.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(y4 \cdot k - x \cdot a\right)\right)} \]

   if -3.4000000000000001e-12 < y2 < -8.50000000000000008e-72 or 7.9000000000000002e-50 < y2 < 5.5000000000000002e48

   1. Initial program 27.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 52.2%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 52.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 52.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 66.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if -8.50000000000000008e-72 < y2 < -1.4999999999999999e-251

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in z around inf 46.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(y0 \cdot y3\right) + i \cdot t\right) \cdot z\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.7%

         \[\leadsto \color{blue}{\left(c \cdot \left(-1 \cdot \left(y0 \cdot y3\right) + i \cdot t\right)\right) \cdot z} \]

      2. +-commutative 46.7%

         \[\leadsto \left(c \cdot \color{blue}{\left(i \cdot t + -1 \cdot \left(y0 \cdot y3\right)\right)}\right) \cdot z \]

      3. mul-1-neg 46.7%

         \[\leadsto \left(c \cdot \left(i \cdot t + \color{blue}{\left(-y0 \cdot y3\right)}\right)\right) \cdot z \]

      4. unsub-neg 46.7%

         \[\leadsto \left(c \cdot \color{blue}{\left(i \cdot t - y0 \cdot y3\right)}\right) \cdot z \]

   7. Simplified 46.7%

      \[\leadsto \color{blue}{\left(c \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \cdot z} \]

   if -1.4999999999999999e-251 < y2 < 1.9499999999999999e-187 or 2.1500000000000001e-106 < y2 < 7.9000000000000002e-50

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 53.4%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 39.9%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.9%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 39.9%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 46.8%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 46.8%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 46.8%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 1.9499999999999999e-187 < y2 < 2.1500000000000001e-106

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 72.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 51.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 51.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 51.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 51.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 5.5000000000000002e48 < y2 < 1.7e122

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 58.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 67.4%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 67.4%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right)} \]

      2. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(y4 \cdot k\right)} \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right) \]

      3. +-commutative 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \color{blue}{\left(y1 \cdot y2 + -1 \cdot \left(y \cdot b\right)\right)} \]

      4. mul-1-neg 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \left(y1 \cdot y2 + \color{blue}{\left(-y \cdot b\right)}\right) \]

      5. unsub-neg 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \color{blue}{\left(y1 \cdot y2 - y \cdot b\right)} \]

      6. *-commutative 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \left(\color{blue}{y2 \cdot y1} - y \cdot b\right) \]

   7. Simplified 67.4%

      \[\leadsto \color{blue}{\left(y4 \cdot k\right) \cdot \left(y2 \cdot y1 - y \cdot b\right)} \]

   if 1.7e122 < y2

   1. Initial program 19.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 34.4%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 34.4%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y2 around inf 55.9%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.4 \cdot 10^{-12}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -8.5 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -1.5 \cdot 10^{-251}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.95 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.15 \cdot 10^{-106}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 7.9 \cdot 10^{-50}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{+48}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{+122}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \end{array} \]

Alternative 22: 32.1% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;y2 \leq -2.55 \cdot 10^{-11}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -1.3 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -4.5 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.4 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 9.4 \cdot 10^{-88}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 7.2 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 1.6 \cdot 10^{+118}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i))))))
   (if (<= y2 -2.55e-11)
     (* y1 (* y2 (- (* k y4) (* x a))))
     (if (<= y2 -1.3e-72)
       t_1
       (if (<= y2 -4.5e-254)
         (* z (* c (- (* t i) (* y0 y3))))
         (if (<= y2 1.4e-187)
           (* x (* j (- (* i y1) (* b y0))))
           (if (<= y2 5.5e-108)
             (* c (* x (- (* y0 y2) (* y i))))
             (if (<= y2 9.4e-88)
               (* y5 (* y0 (- (* j y3) (* k y2))))
               (if (<= y2 7.2e+48)
                 t_1
                 (if (<= y2 1.6e+118)
                   (* (* k y4) (- (* y1 y2) (* y b)))
                   (* y5 (* y2 (- (* t a) (* k y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -2.55e-11) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -1.3e-72) {
		tmp = t_1;
	} else if (y2 <= -4.5e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.4e-187) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else if (y2 <= 5.5e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 9.4e-88) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (y2 <= 7.2e+48) {
		tmp = t_1;
	} else if (y2 <= 1.6e+118) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    if (y2 <= (-2.55d-11)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-1.3d-72)) then
        tmp = t_1
    else if (y2 <= (-4.5d-254)) then
        tmp = z * (c * ((t * i) - (y0 * y3)))
    else if (y2 <= 1.4d-187) then
        tmp = x * (j * ((i * y1) - (b * y0)))
    else if (y2 <= 5.5d-108) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y2 <= 9.4d-88) then
        tmp = y5 * (y0 * ((j * y3) - (k * y2)))
    else if (y2 <= 7.2d+48) then
        tmp = t_1
    else if (y2 <= 1.6d+118) then
        tmp = (k * y4) * ((y1 * y2) - (y * b))
    else
        tmp = y5 * (y2 * ((t * a) - (k * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (y2 <= -2.55e-11) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -1.3e-72) {
		tmp = t_1;
	} else if (y2 <= -4.5e-254) {
		tmp = z * (c * ((t * i) - (y0 * y3)));
	} else if (y2 <= 1.4e-187) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else if (y2 <= 5.5e-108) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y2 <= 9.4e-88) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (y2 <= 7.2e+48) {
		tmp = t_1;
	} else if (y2 <= 1.6e+118) {
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	} else {
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if y2 <= -2.55e-11:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -1.3e-72:
		tmp = t_1
	elif y2 <= -4.5e-254:
		tmp = z * (c * ((t * i) - (y0 * y3)))
	elif y2 <= 1.4e-187:
		tmp = x * (j * ((i * y1) - (b * y0)))
	elif y2 <= 5.5e-108:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y2 <= 9.4e-88:
		tmp = y5 * (y0 * ((j * y3) - (k * y2)))
	elif y2 <= 7.2e+48:
		tmp = t_1
	elif y2 <= 1.6e+118:
		tmp = (k * y4) * ((y1 * y2) - (y * b))
	else:
		tmp = y5 * (y2 * ((t * a) - (k * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (y2 <= -2.55e-11)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -1.3e-72)
		tmp = t_1;
	elseif (y2 <= -4.5e-254)
		tmp = Float64(z * Float64(c * Float64(Float64(t * i) - Float64(y0 * y3))));
	elseif (y2 <= 1.4e-187)
		tmp = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y2 <= 5.5e-108)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y2 <= 9.4e-88)
		tmp = Float64(y5 * Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y2 <= 7.2e+48)
		tmp = t_1;
	elseif (y2 <= 1.6e+118)
		tmp = Float64(Float64(k * y4) * Float64(Float64(y1 * y2) - Float64(y * b)));
	else
		tmp = Float64(y5 * Float64(y2 * Float64(Float64(t * a) - Float64(k * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (y2 <= -2.55e-11)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -1.3e-72)
		tmp = t_1;
	elseif (y2 <= -4.5e-254)
		tmp = z * (c * ((t * i) - (y0 * y3)));
	elseif (y2 <= 1.4e-187)
		tmp = x * (j * ((i * y1) - (b * y0)));
	elseif (y2 <= 5.5e-108)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y2 <= 9.4e-88)
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	elseif (y2 <= 7.2e+48)
		tmp = t_1;
	elseif (y2 <= 1.6e+118)
		tmp = (k * y4) * ((y1 * y2) - (y * b));
	else
		tmp = y5 * (y2 * ((t * a) - (k * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -2.55e-11], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.3e-72], t$95$1, If[LessEqual[y2, -4.5e-254], N[(z * N[(c * N[(N[(t * i), $MachinePrecision] - N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.4e-187], N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.5e-108], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.4e-88], N[(y5 * N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.2e+48], t$95$1, If[LessEqual[y2, 1.6e+118], N[(N[(k * y4), $MachinePrecision] * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y5 * N[(y2 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -2.54999999999999992e-11

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 58.3%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in y1 around inf 44.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right) \cdot y2\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      2. +-commutative 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      3. mul-1-neg 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      4. unsub-neg 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      5. *-commutative 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

      6. *-commutative 44.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right)\right) \]

   7. Simplified 44.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(y4 \cdot k - x \cdot a\right)\right)} \]

   if -2.54999999999999992e-11 < y2 < -1.29999999999999998e-72 or 9.4e-88 < y2 < 7.19999999999999967e48

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 50.5%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 50.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 50.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 61.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if -1.29999999999999998e-72 < y2 < -4.5e-254

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in z around inf 46.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(y0 \cdot y3\right) + i \cdot t\right) \cdot z\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.7%

         \[\leadsto \color{blue}{\left(c \cdot \left(-1 \cdot \left(y0 \cdot y3\right) + i \cdot t\right)\right) \cdot z} \]

      2. +-commutative 46.7%

         \[\leadsto \left(c \cdot \color{blue}{\left(i \cdot t + -1 \cdot \left(y0 \cdot y3\right)\right)}\right) \cdot z \]

      3. mul-1-neg 46.7%

         \[\leadsto \left(c \cdot \left(i \cdot t + \color{blue}{\left(-y0 \cdot y3\right)}\right)\right) \cdot z \]

      4. unsub-neg 46.7%

         \[\leadsto \left(c \cdot \color{blue}{\left(i \cdot t - y0 \cdot y3\right)}\right) \cdot z \]

   7. Simplified 46.7%

      \[\leadsto \color{blue}{\left(c \cdot \left(i \cdot t - y0 \cdot y3\right)\right) \cdot z} \]

   if -4.5e-254 < y2 < 1.4e-187

   1. Initial program 32.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 49.8%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 39.5%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.5%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 39.5%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 45.8%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 45.8%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 45.8%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 1.4e-187 < y2 < 5.50000000000000031e-108

   1. Initial program 33.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 79.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 56.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 56.3%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 56.3%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 56.3%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 56.3%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 56.3%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 56.3%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 56.3%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 5.50000000000000031e-108 < y2 < 9.4e-88

   1. Initial program 74.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 74.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 100.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 100.0%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 100.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 100.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 100.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 100.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 100.0%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y0 around inf 100.0%

      \[\leadsto \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y0\right)} \cdot y5 \]

   if 7.19999999999999967e48 < y2 < 1.60000000000000008e118

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 58.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in k around inf 67.4%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 67.4%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right)} \]

      2. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(y4 \cdot k\right)} \cdot \left(-1 \cdot \left(y \cdot b\right) + y1 \cdot y2\right) \]

      3. +-commutative 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \color{blue}{\left(y1 \cdot y2 + -1 \cdot \left(y \cdot b\right)\right)} \]

      4. mul-1-neg 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \left(y1 \cdot y2 + \color{blue}{\left(-y \cdot b\right)}\right) \]

      5. unsub-neg 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \color{blue}{\left(y1 \cdot y2 - y \cdot b\right)} \]

      6. *-commutative 67.4%

         \[\leadsto \left(y4 \cdot k\right) \cdot \left(\color{blue}{y2 \cdot y1} - y \cdot b\right) \]

   7. Simplified 67.4%

      \[\leadsto \color{blue}{\left(y4 \cdot k\right) \cdot \left(y2 \cdot y1 - y \cdot b\right)} \]

   if 1.60000000000000008e118 < y2

   1. Initial program 19.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 34.4%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 34.4%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y2 around inf 55.9%

      \[\leadsto \color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot y2\right)} \cdot y5 \]
3. Recombined 8 regimes into one program.

4. Final simplification 52.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.55 \cdot 10^{-11}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -1.3 \cdot 10^{-72}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -4.5 \cdot 10^{-254}:\\ \;\;\;\;z \cdot \left(c \cdot \left(t \cdot i - y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.4 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 9.4 \cdot 10^{-88}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 7.2 \cdot 10^{+48}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.6 \cdot 10^{+118}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2 - y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(y2 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \end{array} \]

Alternative 23: 32.4% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;x \leq -2.95 \cdot 10^{+122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{+19}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -8.4 \cdot 10^{-255}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-14}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 5 \cdot 10^{+200}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{+267}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (- (* a b) (* c i))))))
   (if (<= x -2.95e+122)
     t_1
     (if (<= x -3.2e+19)
       (* c (* x (- (* y0 y2) (* y i))))
       (if (<= x -8.4e-255)
         (* c (* y4 (- (* y y3) (* t y2))))
         (if (<= x 3.7e-14)
           (* t (* y5 (- (* a y2) (* i j))))
           (if (<= x 5e+200)
             (* c (* y0 (- (* x y2) (* z y3))))
             (if (<= x 5.6e+267) (* x (* j (- (* i y1) (* b y0)))) t_1))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (x <= -2.95e+122) {
		tmp = t_1;
	} else if (x <= -3.2e+19) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (x <= -8.4e-255) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 3.7e-14) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 5e+200) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (x <= 5.6e+267) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (x * ((a * b) - (c * i)))
    if (x <= (-2.95d+122)) then
        tmp = t_1
    else if (x <= (-3.2d+19)) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (x <= (-8.4d-255)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (x <= 3.7d-14) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (x <= 5d+200) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (x <= 5.6d+267) then
        tmp = x * (j * ((i * y1) - (b * y0)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * ((a * b) - (c * i)));
	double tmp;
	if (x <= -2.95e+122) {
		tmp = t_1;
	} else if (x <= -3.2e+19) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (x <= -8.4e-255) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 3.7e-14) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 5e+200) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (x <= 5.6e+267) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * ((a * b) - (c * i)))
	tmp = 0
	if x <= -2.95e+122:
		tmp = t_1
	elif x <= -3.2e+19:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif x <= -8.4e-255:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif x <= 3.7e-14:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif x <= 5e+200:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif x <= 5.6e+267:
		tmp = x * (j * ((i * y1) - (b * y0)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (x <= -2.95e+122)
		tmp = t_1;
	elseif (x <= -3.2e+19)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (x <= -8.4e-255)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (x <= 3.7e-14)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (x <= 5e+200)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (x <= 5.6e+267)
		tmp = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * ((a * b) - (c * i)));
	tmp = 0.0;
	if (x <= -2.95e+122)
		tmp = t_1;
	elseif (x <= -3.2e+19)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (x <= -8.4e-255)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (x <= 3.7e-14)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (x <= 5e+200)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (x <= 5.6e+267)
		tmp = x * (j * ((i * y1) - (b * y0)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.95e+122], t$95$1, If[LessEqual[x, -3.2e+19], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -8.4e-255], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.7e-14], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5e+200], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.6e+267], N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]

Derivation

1. Split input into 6 regimes

2. if x < -2.95000000000000016e122 or 5.6000000000000004e267 < x

   1. Initial program 19.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 43.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 43.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 43.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 52.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   if -2.95000000000000016e122 < x < -3.2e19

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 42.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 48.8%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 48.8%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 48.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 48.8%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 48.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 48.8%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -3.2e19 < x < -8.3999999999999999e-255

   1. Initial program 43.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -8.3999999999999999e-255 < x < 3.70000000000000001e-14

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 39.1%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if 3.70000000000000001e-14 < x < 5.00000000000000019e200

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 33.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 44.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 5.00000000000000019e200 < x < 5.6000000000000004e267

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 67.4%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 67.5%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 67.5%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 67.5%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 46.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.95 \cdot 10^{+122}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{+19}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -8.4 \cdot 10^{-255}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-14}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 5 \cdot 10^{+200}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{+267}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \end{array} \]

Alternative 24: 21.3% accurate, 4.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.6 \cdot 10^{+121}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -5.7 \cdot 10^{+43}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -0.0245:\\ \;\;\;\;i \cdot \left(\left(t \cdot j\right) \cdot \left(-y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(y5 \cdot \left(-a\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 3.1 \cdot 10^{-281}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.35 \cdot 10^{+165}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.6e+121)
   (* t (* a (* y2 y5)))
   (if (<= y2 -5.7e+43)
     (* y0 (* c (* x y2)))
     (if (<= y2 -0.0245)
       (* i (* (* t j) (- y5)))
       (if (<= y2 -1.8e-71)
         (* y (* x (* c (- i))))
         (if (<= y2 -1.65e-174)
           (* y (* y3 (* y5 (- a))))
           (if (<= y2 3.1e-281)
             (* c (* x (* y (- i))))
             (if (<= y2 2.35e+165)
               (* (* y k) (* i y5))
               (* a (* t (* y2 y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.6e+121) {
		tmp = t * (a * (y2 * y5));
	} else if (y2 <= -5.7e+43) {
		tmp = y0 * (c * (x * y2));
	} else if (y2 <= -0.0245) {
		tmp = i * ((t * j) * -y5);
	} else if (y2 <= -1.8e-71) {
		tmp = y * (x * (c * -i));
	} else if (y2 <= -1.65e-174) {
		tmp = y * (y3 * (y5 * -a));
	} else if (y2 <= 3.1e-281) {
		tmp = c * (x * (y * -i));
	} else if (y2 <= 2.35e+165) {
		tmp = (y * k) * (i * y5);
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.6d+121)) then
        tmp = t * (a * (y2 * y5))
    else if (y2 <= (-5.7d+43)) then
        tmp = y0 * (c * (x * y2))
    else if (y2 <= (-0.0245d0)) then
        tmp = i * ((t * j) * -y5)
    else if (y2 <= (-1.8d-71)) then
        tmp = y * (x * (c * -i))
    else if (y2 <= (-1.65d-174)) then
        tmp = y * (y3 * (y5 * -a))
    else if (y2 <= 3.1d-281) then
        tmp = c * (x * (y * -i))
    else if (y2 <= 2.35d+165) then
        tmp = (y * k) * (i * y5)
    else
        tmp = a * (t * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.6e+121) {
		tmp = t * (a * (y2 * y5));
	} else if (y2 <= -5.7e+43) {
		tmp = y0 * (c * (x * y2));
	} else if (y2 <= -0.0245) {
		tmp = i * ((t * j) * -y5);
	} else if (y2 <= -1.8e-71) {
		tmp = y * (x * (c * -i));
	} else if (y2 <= -1.65e-174) {
		tmp = y * (y3 * (y5 * -a));
	} else if (y2 <= 3.1e-281) {
		tmp = c * (x * (y * -i));
	} else if (y2 <= 2.35e+165) {
		tmp = (y * k) * (i * y5);
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.6e+121:
		tmp = t * (a * (y2 * y5))
	elif y2 <= -5.7e+43:
		tmp = y0 * (c * (x * y2))
	elif y2 <= -0.0245:
		tmp = i * ((t * j) * -y5)
	elif y2 <= -1.8e-71:
		tmp = y * (x * (c * -i))
	elif y2 <= -1.65e-174:
		tmp = y * (y3 * (y5 * -a))
	elif y2 <= 3.1e-281:
		tmp = c * (x * (y * -i))
	elif y2 <= 2.35e+165:
		tmp = (y * k) * (i * y5)
	else:
		tmp = a * (t * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.6e+121)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y2 <= -5.7e+43)
		tmp = Float64(y0 * Float64(c * Float64(x * y2)));
	elseif (y2 <= -0.0245)
		tmp = Float64(i * Float64(Float64(t * j) * Float64(-y5)));
	elseif (y2 <= -1.8e-71)
		tmp = Float64(y * Float64(x * Float64(c * Float64(-i))));
	elseif (y2 <= -1.65e-174)
		tmp = Float64(y * Float64(y3 * Float64(y5 * Float64(-a))));
	elseif (y2 <= 3.1e-281)
		tmp = Float64(c * Float64(x * Float64(y * Float64(-i))));
	elseif (y2 <= 2.35e+165)
		tmp = Float64(Float64(y * k) * Float64(i * y5));
	else
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.6e+121)
		tmp = t * (a * (y2 * y5));
	elseif (y2 <= -5.7e+43)
		tmp = y0 * (c * (x * y2));
	elseif (y2 <= -0.0245)
		tmp = i * ((t * j) * -y5);
	elseif (y2 <= -1.8e-71)
		tmp = y * (x * (c * -i));
	elseif (y2 <= -1.65e-174)
		tmp = y * (y3 * (y5 * -a));
	elseif (y2 <= 3.1e-281)
		tmp = c * (x * (y * -i));
	elseif (y2 <= 2.35e+165)
		tmp = (y * k) * (i * y5);
	else
		tmp = a * (t * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.6e+121], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.7e+43], N[(y0 * N[(c * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -0.0245], N[(i * N[(N[(t * j), $MachinePrecision] * (-y5)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.8e-71], N[(y * N[(x * N[(c * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.65e-174], N[(y * N[(y3 * N[(y5 * (-a)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.1e-281], N[(c * N[(x * N[(y * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.35e+165], N[(N[(y * k), $MachinePrecision] * N[(i * y5), $MachinePrecision]), $MachinePrecision], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -1.6e121

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 48.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 48.6%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 48.6%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 43.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 37.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 37.3%

          \[\leadsto a \cdot \color{blue}{\left(\left(y5 \cdot y2\right) \cdot t\right)} \]

       2. associate-*r* 40.4%

          \[\leadsto \color{blue}{\left(a \cdot \left(y5 \cdot y2\right)\right) \cdot t} \]

       3. *-commutative 40.4%

          \[\leadsto \left(a \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \cdot t \]

   12. Simplified 40.4%

       \[\leadsto \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right) \cdot t} \]

   if -1.6e121 < y2 < -5.6999999999999999e43

   1. Initial program 56.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 56.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.5%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 44.5%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 33.0%

         \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

      2. *-commutative 33.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y2 \cdot x\right)\right) \cdot c} \]

      3. associate-*l* 45.4%

         \[\leadsto \color{blue}{y0 \cdot \left(\left(y2 \cdot x\right) \cdot c\right)} \]

   10. Simplified 45.4%

       \[\leadsto \color{blue}{y0 \cdot \left(\left(y2 \cdot x\right) \cdot c\right)} \]

   if -5.6999999999999999e43 < y2 < -0.024500000000000001

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 18.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 18.7%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 18.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 18.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 18.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 18.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 18.7%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 28.9%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 20.5%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 20.5%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 20.5%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around 0 37.3%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(t \cdot \left(j \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 37.3%

          \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(t \cdot \left(j \cdot y5\right)\right)} \]

       2. neg-mul-1 37.3%

          \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(t \cdot \left(j \cdot y5\right)\right) \]

       3. associate-*r* 46.2%

          \[\leadsto \left(-i\right) \cdot \color{blue}{\left(\left(t \cdot j\right) \cdot y5\right)} \]

   12. Simplified 46.2%

       \[\leadsto \color{blue}{\left(-i\right) \cdot \left(\left(t \cdot j\right) \cdot y5\right)} \]

   if -0.024500000000000001 < y2 < -1.8e-71

   1. Initial program 46.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 53.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 54.5%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 54.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 54.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around 0 39.7%

      \[\leadsto y \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot i\right)\right)} \cdot x\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 39.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(-c \cdot i\right)} \cdot x\right) \]

      2. distribute-rgt-neg-in 39.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(c \cdot \left(-i\right)\right)} \cdot x\right) \]

   10. Simplified 39.7%

       \[\leadsto y \cdot \left(\color{blue}{\left(c \cdot \left(-i\right)\right)} \cdot x\right) \]

   if -1.8e-71 < y2 < -1.65e-174

   1. Initial program 32.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 36.4%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 36.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in a around inf 44.6%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      2. +-commutative 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      3. mul-1-neg 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      4. unsub-neg 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

      5. *-commutative 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \left(\color{blue}{x \cdot b} - y3 \cdot y5\right) \]

   9. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)} \]

   10. Taylor expanded in x around 0 29.6%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 29.6%

          \[\leadsto \color{blue}{-y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)} \]

       2. *-commutative 29.6%

          \[\leadsto -\color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot y} \]

       3. distribute-rgt-neg-in 29.6%

          \[\leadsto \color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)} \]

       4. associate-*r* 29.6%

          \[\leadsto \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)} \cdot \left(-y\right) \]

       5. *-commutative 29.6%

          \[\leadsto \left(\color{blue}{\left(y3 \cdot a\right)} \cdot y5\right) \cdot \left(-y\right) \]

       6. associate-*l* 33.1%

          \[\leadsto \color{blue}{\left(y3 \cdot \left(a \cdot y5\right)\right)} \cdot \left(-y\right) \]

   12. Simplified 33.1%

       \[\leadsto \color{blue}{\left(y3 \cdot \left(a \cdot y5\right)\right) \cdot \left(-y\right)} \]

   if -1.65e-174 < y2 < 3.1000000000000002e-281

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 45.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 38.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 38.1%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 38.1%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 38.1%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 38.1%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 38.1%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 38.1%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 38.1%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around 0 35.4%

      \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 35.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(-y \cdot i\right)}\right) \]

      2. distribute-rgt-neg-in 35.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \]

   10. Simplified 35.4%

       \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \]

   if 3.1000000000000002e-281 < y2 < 2.35000000000000008e165

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 35.8%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 35.8%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 28.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 28.6%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 28.6%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 28.6%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 28.6%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 28.6%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around 0 27.5%

       \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 29.8%

          \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(i \cdot y5\right)} \]

       2. *-commutative 29.8%

          \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(k \cdot y\right)} \]

       3. *-commutative 29.8%

          \[\leadsto \left(i \cdot y5\right) \cdot \color{blue}{\left(y \cdot k\right)} \]

   12. Simplified 29.8%

       \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(y \cdot k\right)} \]

   if 2.35000000000000008e165 < y2

   1. Initial program 22.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.9%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.9%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 43.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 45.6%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 37.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.6 \cdot 10^{+121}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -5.7 \cdot 10^{+43}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -0.0245:\\ \;\;\;\;i \cdot \left(\left(t \cdot j\right) \cdot \left(-y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.65 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(y5 \cdot \left(-a\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 3.1 \cdot 10^{-281}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.35 \cdot 10^{+165}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 25: 21.5% accurate, 4.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -5 \cdot 10^{+119}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -7.5 \cdot 10^{+42}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.6 \cdot 10^{-12}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -5.5 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(y5 \cdot \left(-a\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{-281}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+159}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -5e+119)
   (* t (* a (* y2 y5)))
   (if (<= y2 -7.5e+42)
     (* y0 (* c (* x y2)))
     (if (<= y2 -1.6e-12)
       (* a (* y (* y3 (- y5))))
       (if (<= y2 -5.5e-71)
         (* y (* x (* c (- i))))
         (if (<= y2 -1.8e-174)
           (* y (* y3 (* y5 (- a))))
           (if (<= y2 3.4e-281)
             (* c (* x (* y (- i))))
             (if (<= y2 2.4e+159)
               (* (* y k) (* i y5))
               (* a (* t (* y2 y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -5e+119) {
		tmp = t * (a * (y2 * y5));
	} else if (y2 <= -7.5e+42) {
		tmp = y0 * (c * (x * y2));
	} else if (y2 <= -1.6e-12) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= -5.5e-71) {
		tmp = y * (x * (c * -i));
	} else if (y2 <= -1.8e-174) {
		tmp = y * (y3 * (y5 * -a));
	} else if (y2 <= 3.4e-281) {
		tmp = c * (x * (y * -i));
	} else if (y2 <= 2.4e+159) {
		tmp = (y * k) * (i * y5);
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-5d+119)) then
        tmp = t * (a * (y2 * y5))
    else if (y2 <= (-7.5d+42)) then
        tmp = y0 * (c * (x * y2))
    else if (y2 <= (-1.6d-12)) then
        tmp = a * (y * (y3 * -y5))
    else if (y2 <= (-5.5d-71)) then
        tmp = y * (x * (c * -i))
    else if (y2 <= (-1.8d-174)) then
        tmp = y * (y3 * (y5 * -a))
    else if (y2 <= 3.4d-281) then
        tmp = c * (x * (y * -i))
    else if (y2 <= 2.4d+159) then
        tmp = (y * k) * (i * y5)
    else
        tmp = a * (t * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -5e+119) {
		tmp = t * (a * (y2 * y5));
	} else if (y2 <= -7.5e+42) {
		tmp = y0 * (c * (x * y2));
	} else if (y2 <= -1.6e-12) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= -5.5e-71) {
		tmp = y * (x * (c * -i));
	} else if (y2 <= -1.8e-174) {
		tmp = y * (y3 * (y5 * -a));
	} else if (y2 <= 3.4e-281) {
		tmp = c * (x * (y * -i));
	} else if (y2 <= 2.4e+159) {
		tmp = (y * k) * (i * y5);
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -5e+119:
		tmp = t * (a * (y2 * y5))
	elif y2 <= -7.5e+42:
		tmp = y0 * (c * (x * y2))
	elif y2 <= -1.6e-12:
		tmp = a * (y * (y3 * -y5))
	elif y2 <= -5.5e-71:
		tmp = y * (x * (c * -i))
	elif y2 <= -1.8e-174:
		tmp = y * (y3 * (y5 * -a))
	elif y2 <= 3.4e-281:
		tmp = c * (x * (y * -i))
	elif y2 <= 2.4e+159:
		tmp = (y * k) * (i * y5)
	else:
		tmp = a * (t * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -5e+119)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y2 <= -7.5e+42)
		tmp = Float64(y0 * Float64(c * Float64(x * y2)));
	elseif (y2 <= -1.6e-12)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y2 <= -5.5e-71)
		tmp = Float64(y * Float64(x * Float64(c * Float64(-i))));
	elseif (y2 <= -1.8e-174)
		tmp = Float64(y * Float64(y3 * Float64(y5 * Float64(-a))));
	elseif (y2 <= 3.4e-281)
		tmp = Float64(c * Float64(x * Float64(y * Float64(-i))));
	elseif (y2 <= 2.4e+159)
		tmp = Float64(Float64(y * k) * Float64(i * y5));
	else
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -5e+119)
		tmp = t * (a * (y2 * y5));
	elseif (y2 <= -7.5e+42)
		tmp = y0 * (c * (x * y2));
	elseif (y2 <= -1.6e-12)
		tmp = a * (y * (y3 * -y5));
	elseif (y2 <= -5.5e-71)
		tmp = y * (x * (c * -i));
	elseif (y2 <= -1.8e-174)
		tmp = y * (y3 * (y5 * -a));
	elseif (y2 <= 3.4e-281)
		tmp = c * (x * (y * -i));
	elseif (y2 <= 2.4e+159)
		tmp = (y * k) * (i * y5);
	else
		tmp = a * (t * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -5e+119], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.5e+42], N[(y0 * N[(c * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.6e-12], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.5e-71], N[(y * N[(x * N[(c * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.8e-174], N[(y * N[(y3 * N[(y5 * (-a)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.4e-281], N[(c * N[(x * N[(y * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.4e+159], N[(N[(y * k), $MachinePrecision] * N[(i * y5), $MachinePrecision]), $MachinePrecision], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -4.9999999999999999e119

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 48.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 48.6%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 48.6%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 43.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 37.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 37.3%

          \[\leadsto a \cdot \color{blue}{\left(\left(y5 \cdot y2\right) \cdot t\right)} \]

       2. associate-*r* 40.4%

          \[\leadsto \color{blue}{\left(a \cdot \left(y5 \cdot y2\right)\right) \cdot t} \]

       3. *-commutative 40.4%

          \[\leadsto \left(a \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \cdot t \]

   12. Simplified 40.4%

       \[\leadsto \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right) \cdot t} \]

   if -4.9999999999999999e119 < y2 < -7.50000000000000041e42

   1. Initial program 56.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 56.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.5%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 44.5%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 33.0%

         \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

      2. *-commutative 33.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y2 \cdot x\right)\right) \cdot c} \]

      3. associate-*l* 45.4%

         \[\leadsto \color{blue}{y0 \cdot \left(\left(y2 \cdot x\right) \cdot c\right)} \]

   10. Simplified 45.4%

       \[\leadsto \color{blue}{y0 \cdot \left(\left(y2 \cdot x\right) \cdot c\right)} \]

   if -7.50000000000000041e42 < y2 < -1.6e-12

   1. Initial program 46.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 46.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 27.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 27.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 27.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 14.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 14.9%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 14.9%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 14.9%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 14.9%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 14.9%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around -inf 35.7%

       \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]

   if -1.6e-12 < y2 < -5.4999999999999997e-71

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 44.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 56.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 56.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 56.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 67.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around 0 56.7%

      \[\leadsto y \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot i\right)\right)} \cdot x\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 56.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(-c \cdot i\right)} \cdot x\right) \]

      2. distribute-rgt-neg-in 56.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(c \cdot \left(-i\right)\right)} \cdot x\right) \]

   10. Simplified 56.7%

       \[\leadsto y \cdot \left(\color{blue}{\left(c \cdot \left(-i\right)\right)} \cdot x\right) \]

   if -5.4999999999999997e-71 < y2 < -1.79999999999999999e-174

   1. Initial program 32.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 36.4%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 36.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in a around inf 44.6%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      2. +-commutative 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      3. mul-1-neg 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      4. unsub-neg 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

      5. *-commutative 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \left(\color{blue}{x \cdot b} - y3 \cdot y5\right) \]

   9. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)} \]

   10. Taylor expanded in x around 0 29.6%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 29.6%

          \[\leadsto \color{blue}{-y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)} \]

       2. *-commutative 29.6%

          \[\leadsto -\color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot y} \]

       3. distribute-rgt-neg-in 29.6%

          \[\leadsto \color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)} \]

       4. associate-*r* 29.6%

          \[\leadsto \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)} \cdot \left(-y\right) \]

       5. *-commutative 29.6%

          \[\leadsto \left(\color{blue}{\left(y3 \cdot a\right)} \cdot y5\right) \cdot \left(-y\right) \]

       6. associate-*l* 33.1%

          \[\leadsto \color{blue}{\left(y3 \cdot \left(a \cdot y5\right)\right)} \cdot \left(-y\right) \]

   12. Simplified 33.1%

       \[\leadsto \color{blue}{\left(y3 \cdot \left(a \cdot y5\right)\right) \cdot \left(-y\right)} \]

   if -1.79999999999999999e-174 < y2 < 3.4e-281

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 45.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 38.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 38.1%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 38.1%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 38.1%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 38.1%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 38.1%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 38.1%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 38.1%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around 0 35.4%

      \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 35.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(-y \cdot i\right)}\right) \]

      2. distribute-rgt-neg-in 35.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \]

   10. Simplified 35.4%

       \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \]

   if 3.4e-281 < y2 < 2.4e159

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 35.8%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 35.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 35.8%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 28.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 28.6%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 28.6%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 28.6%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 28.6%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 28.6%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around 0 27.5%

       \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 29.8%

          \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(i \cdot y5\right)} \]

       2. *-commutative 29.8%

          \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(k \cdot y\right)} \]

       3. *-commutative 29.8%

          \[\leadsto \left(i \cdot y5\right) \cdot \color{blue}{\left(y \cdot k\right)} \]

   12. Simplified 29.8%

       \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(y \cdot k\right)} \]

   if 2.4e159 < y2

   1. Initial program 22.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.9%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.9%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 43.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 45.6%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 37.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -5 \cdot 10^{+119}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -7.5 \cdot 10^{+42}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.6 \cdot 10^{-12}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -5.5 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.8 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(y5 \cdot \left(-a\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{-281}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+159}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 26: 21.7% accurate, 4.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -2.9 \cdot 10^{+122}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{+44}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-14}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.9 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.86 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(y5 \cdot \left(-a\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 8 \cdot 10^{-199}:\\ \;\;\;\;c \cdot \left(-y \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.85 \cdot 10^{+162}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -2.9e+122)
   (* t (* a (* y2 y5)))
   (if (<= y2 -1.15e+44)
     (* y0 (* c (* x y2)))
     (if (<= y2 -5.2e-14)
       (* a (* y (* y3 (- y5))))
       (if (<= y2 -1.9e-71)
         (* y (* x (* c (- i))))
         (if (<= y2 -1.86e-174)
           (* y (* y3 (* y5 (- a))))
           (if (<= y2 8e-199)
             (* c (- (* y (* x i))))
             (if (<= y2 1.85e+162)
               (* (* y k) (* i y5))
               (* a (* t (* y2 y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.9e+122) {
		tmp = t * (a * (y2 * y5));
	} else if (y2 <= -1.15e+44) {
		tmp = y0 * (c * (x * y2));
	} else if (y2 <= -5.2e-14) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= -1.9e-71) {
		tmp = y * (x * (c * -i));
	} else if (y2 <= -1.86e-174) {
		tmp = y * (y3 * (y5 * -a));
	} else if (y2 <= 8e-199) {
		tmp = c * -(y * (x * i));
	} else if (y2 <= 1.85e+162) {
		tmp = (y * k) * (i * y5);
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-2.9d+122)) then
        tmp = t * (a * (y2 * y5))
    else if (y2 <= (-1.15d+44)) then
        tmp = y0 * (c * (x * y2))
    else if (y2 <= (-5.2d-14)) then
        tmp = a * (y * (y3 * -y5))
    else if (y2 <= (-1.9d-71)) then
        tmp = y * (x * (c * -i))
    else if (y2 <= (-1.86d-174)) then
        tmp = y * (y3 * (y5 * -a))
    else if (y2 <= 8d-199) then
        tmp = c * -(y * (x * i))
    else if (y2 <= 1.85d+162) then
        tmp = (y * k) * (i * y5)
    else
        tmp = a * (t * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.9e+122) {
		tmp = t * (a * (y2 * y5));
	} else if (y2 <= -1.15e+44) {
		tmp = y0 * (c * (x * y2));
	} else if (y2 <= -5.2e-14) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= -1.9e-71) {
		tmp = y * (x * (c * -i));
	} else if (y2 <= -1.86e-174) {
		tmp = y * (y3 * (y5 * -a));
	} else if (y2 <= 8e-199) {
		tmp = c * -(y * (x * i));
	} else if (y2 <= 1.85e+162) {
		tmp = (y * k) * (i * y5);
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -2.9e+122:
		tmp = t * (a * (y2 * y5))
	elif y2 <= -1.15e+44:
		tmp = y0 * (c * (x * y2))
	elif y2 <= -5.2e-14:
		tmp = a * (y * (y3 * -y5))
	elif y2 <= -1.9e-71:
		tmp = y * (x * (c * -i))
	elif y2 <= -1.86e-174:
		tmp = y * (y3 * (y5 * -a))
	elif y2 <= 8e-199:
		tmp = c * -(y * (x * i))
	elif y2 <= 1.85e+162:
		tmp = (y * k) * (i * y5)
	else:
		tmp = a * (t * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -2.9e+122)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y2 <= -1.15e+44)
		tmp = Float64(y0 * Float64(c * Float64(x * y2)));
	elseif (y2 <= -5.2e-14)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y2 <= -1.9e-71)
		tmp = Float64(y * Float64(x * Float64(c * Float64(-i))));
	elseif (y2 <= -1.86e-174)
		tmp = Float64(y * Float64(y3 * Float64(y5 * Float64(-a))));
	elseif (y2 <= 8e-199)
		tmp = Float64(c * Float64(-Float64(y * Float64(x * i))));
	elseif (y2 <= 1.85e+162)
		tmp = Float64(Float64(y * k) * Float64(i * y5));
	else
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -2.9e+122)
		tmp = t * (a * (y2 * y5));
	elseif (y2 <= -1.15e+44)
		tmp = y0 * (c * (x * y2));
	elseif (y2 <= -5.2e-14)
		tmp = a * (y * (y3 * -y5));
	elseif (y2 <= -1.9e-71)
		tmp = y * (x * (c * -i));
	elseif (y2 <= -1.86e-174)
		tmp = y * (y3 * (y5 * -a));
	elseif (y2 <= 8e-199)
		tmp = c * -(y * (x * i));
	elseif (y2 <= 1.85e+162)
		tmp = (y * k) * (i * y5);
	else
		tmp = a * (t * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -2.9e+122], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.15e+44], N[(y0 * N[(c * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.2e-14], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.9e-71], N[(y * N[(x * N[(c * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.86e-174], N[(y * N[(y3 * N[(y5 * (-a)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 8e-199], N[(c * (-N[(y * N[(x * i), $MachinePrecision]), $MachinePrecision])), $MachinePrecision], If[LessEqual[y2, 1.85e+162], N[(N[(y * k), $MachinePrecision] * N[(i * y5), $MachinePrecision]), $MachinePrecision], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -2.9000000000000001e122

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 48.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 48.6%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 48.6%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 48.6%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 43.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 37.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 37.3%

          \[\leadsto a \cdot \color{blue}{\left(\left(y5 \cdot y2\right) \cdot t\right)} \]

       2. associate-*r* 40.4%

          \[\leadsto \color{blue}{\left(a \cdot \left(y5 \cdot y2\right)\right) \cdot t} \]

       3. *-commutative 40.4%

          \[\leadsto \left(a \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \cdot t \]

   12. Simplified 40.4%

       \[\leadsto \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right) \cdot t} \]

   if -2.9000000000000001e122 < y2 < -1.15000000000000002e44

   1. Initial program 56.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 56.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.5%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 44.5%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 44.5%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 33.0%

         \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

      2. *-commutative 33.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y2 \cdot x\right)\right) \cdot c} \]

      3. associate-*l* 45.4%

         \[\leadsto \color{blue}{y0 \cdot \left(\left(y2 \cdot x\right) \cdot c\right)} \]

   10. Simplified 45.4%

       \[\leadsto \color{blue}{y0 \cdot \left(\left(y2 \cdot x\right) \cdot c\right)} \]

   if -1.15000000000000002e44 < y2 < -5.19999999999999993e-14

   1. Initial program 46.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 46.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 27.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 27.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 27.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 27.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 14.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 14.9%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 14.9%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 14.9%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 14.9%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 14.9%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around -inf 35.7%

       \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]

   if -5.19999999999999993e-14 < y2 < -1.89999999999999996e-71

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 44.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 56.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 56.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 56.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 67.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around 0 56.7%

      \[\leadsto y \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot i\right)\right)} \cdot x\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 56.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(-c \cdot i\right)} \cdot x\right) \]

      2. distribute-rgt-neg-in 56.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(c \cdot \left(-i\right)\right)} \cdot x\right) \]

   10. Simplified 56.7%

       \[\leadsto y \cdot \left(\color{blue}{\left(c \cdot \left(-i\right)\right)} \cdot x\right) \]

   if -1.89999999999999996e-71 < y2 < -1.86e-174

   1. Initial program 32.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 36.4%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 36.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in a around inf 44.6%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      2. +-commutative 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      3. mul-1-neg 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      4. unsub-neg 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

      5. *-commutative 29.6%

         \[\leadsto \left(y \cdot a\right) \cdot \left(\color{blue}{x \cdot b} - y3 \cdot y5\right) \]

   9. Simplified 29.6%

      \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)} \]

   10. Taylor expanded in x around 0 29.6%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 29.6%

          \[\leadsto \color{blue}{-y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)} \]

       2. *-commutative 29.6%

          \[\leadsto -\color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot y} \]

       3. distribute-rgt-neg-in 29.6%

          \[\leadsto \color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)} \]

       4. associate-*r* 29.6%

          \[\leadsto \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)} \cdot \left(-y\right) \]

       5. *-commutative 29.6%

          \[\leadsto \left(\color{blue}{\left(y3 \cdot a\right)} \cdot y5\right) \cdot \left(-y\right) \]

       6. associate-*l* 33.1%

          \[\leadsto \color{blue}{\left(y3 \cdot \left(a \cdot y5\right)\right)} \cdot \left(-y\right) \]

   12. Simplified 33.1%

       \[\leadsto \color{blue}{\left(y3 \cdot \left(a \cdot y5\right)\right) \cdot \left(-y\right)} \]

   if -1.86e-174 < y2 < 7.99999999999999986e-199

   1. Initial program 30.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 30.2%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 30.2%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 30.2%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 30.2%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 30.2%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around 0 30.0%

      \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]

   if 7.99999999999999986e-199 < y2 < 1.85000000000000004e162

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 38.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 38.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 38.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 38.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 38.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 38.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 31.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 31.6%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 31.6%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 31.6%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 31.6%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 31.6%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around 0 30.2%

       \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 33.3%

          \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(i \cdot y5\right)} \]

       2. *-commutative 33.3%

          \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(k \cdot y\right)} \]

       3. *-commutative 33.3%

          \[\leadsto \left(i \cdot y5\right) \cdot \color{blue}{\left(y \cdot k\right)} \]

   12. Simplified 33.3%

       \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(y \cdot k\right)} \]

   if 1.85000000000000004e162 < y2

   1. Initial program 22.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.9%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.9%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 43.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 45.6%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 37.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.9 \cdot 10^{+122}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{+44}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-14}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.9 \cdot 10^{-71}:\\ \;\;\;\;y \cdot \left(x \cdot \left(c \cdot \left(-i\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.86 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(y5 \cdot \left(-a\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 8 \cdot 10^{-199}:\\ \;\;\;\;c \cdot \left(-y \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 1.85 \cdot 10^{+162}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 27: 26.3% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -2.6 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.9 \cdot 10^{+156}:\\ \;\;\;\;\left(a \cdot y2\right) \cdot \left(t \cdot y5\right)\\ \mathbf{elif}\;y2 \leq -1.48 \cdot 10^{-5}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.7 \cdot 10^{-209}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+49}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -2.6e+242)
   (* c (* y4 (- (* y y3) (* t y2))))
   (if (<= y2 -1.9e+156)
     (* (* a y2) (* t y5))
     (if (<= y2 -1.48e-5)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= y2 -1.7e-209)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= y2 2.7e+49)
           (* c (* x (- (* y0 y2) (* y i))))
           (* c (* t (- (* z i) (* y2 y4))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.6e+242) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y2 <= -1.9e+156) {
		tmp = (a * y2) * (t * y5);
	} else if (y2 <= -1.48e-5) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y2 <= -1.7e-209) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= 2.7e+49) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-2.6d+242)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y2 <= (-1.9d+156)) then
        tmp = (a * y2) * (t * y5)
    else if (y2 <= (-1.48d-5)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (y2 <= (-1.7d-209)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= 2.7d+49) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else
        tmp = c * (t * ((z * i) - (y2 * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.6e+242) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y2 <= -1.9e+156) {
		tmp = (a * y2) * (t * y5);
	} else if (y2 <= -1.48e-5) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y2 <= -1.7e-209) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= 2.7e+49) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -2.6e+242:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y2 <= -1.9e+156:
		tmp = (a * y2) * (t * y5)
	elif y2 <= -1.48e-5:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif y2 <= -1.7e-209:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= 2.7e+49:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	else:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -2.6e+242)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y2 <= -1.9e+156)
		tmp = Float64(Float64(a * y2) * Float64(t * y5));
	elseif (y2 <= -1.48e-5)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (y2 <= -1.7e-209)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= 2.7e+49)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	else
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -2.6e+242)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y2 <= -1.9e+156)
		tmp = (a * y2) * (t * y5);
	elseif (y2 <= -1.48e-5)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (y2 <= -1.7e-209)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= 2.7e+49)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	else
		tmp = c * (t * ((z * i) - (y2 * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -2.6e+242], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.9e+156], N[(N[(a * y2), $MachinePrecision] * N[(t * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.48e-5], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.7e-209], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.7e+49], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -2.5999999999999998e242

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 14.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 43.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 71.6%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -2.5999999999999998e242 < y2 < -1.90000000000000012e156

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 46.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 46.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 46.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 46.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 46.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 46.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 46.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 62.6%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 62.6%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 62.6%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 62.6%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 55.0%

       \[\leadsto \left(t \cdot y5\right) \cdot \color{blue}{\left(a \cdot y2\right)} \]
   11. Step-by-step derivation

       1. *-commutative 55.0%

          \[\leadsto \left(t \cdot y5\right) \cdot \color{blue}{\left(y2 \cdot a\right)} \]

   12. Simplified 55.0%

       \[\leadsto \left(t \cdot y5\right) \cdot \color{blue}{\left(y2 \cdot a\right)} \]

   if -1.90000000000000012e156 < y2 < -1.4800000000000001e-5

   1. Initial program 45.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 29.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y2 around inf 32.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot x - y4 \cdot t\right) \cdot y2\right)} \]

   if -1.4800000000000001e-5 < y2 < -1.69999999999999994e-209

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 45.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 41.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -1.69999999999999994e-209 < y2 < 2.7000000000000001e49

   1. Initial program 30.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 47.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 33.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 33.8%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 33.8%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 33.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 33.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 33.8%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 33.8%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 33.8%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 2.7000000000000001e49 < y2

   1. Initial program 18.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 44.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot z - y4 \cdot y2\right) \cdot t\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 40.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.6 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1.9 \cdot 10^{+156}:\\ \;\;\;\;\left(a \cdot y2\right) \cdot \left(t \cdot y5\right)\\ \mathbf{elif}\;y2 \leq -1.48 \cdot 10^{-5}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.7 \cdot 10^{-209}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{+49}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \end{array} \]

Alternative 28: 32.1% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -1.6 \cdot 10^{+19}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{-260}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-14}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 2.15 \cdot 10^{+201}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{+267}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= x -1.6e+19)
   (* c (* x (- (* y0 y2) (* y i))))
   (if (<= x -1.75e-260)
     (* c (* y4 (- (* y y3) (* t y2))))
     (if (<= x 5.5e-14)
       (* t (* y5 (- (* a y2) (* i j))))
       (if (<= x 2.15e+201)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= x 4.2e+267)
           (* x (* j (- (* i y1) (* b y0))))
           (* (* y a) (* x b))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -1.6e+19) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (x <= -1.75e-260) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 5.5e-14) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 2.15e+201) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (x <= 4.2e+267) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else {
		tmp = (y * a) * (x * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (x <= (-1.6d+19)) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (x <= (-1.75d-260)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (x <= 5.5d-14) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (x <= 2.15d+201) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (x <= 4.2d+267) then
        tmp = x * (j * ((i * y1) - (b * y0)))
    else
        tmp = (y * a) * (x * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (x <= -1.6e+19) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (x <= -1.75e-260) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 5.5e-14) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (x <= 2.15e+201) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (x <= 4.2e+267) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else {
		tmp = (y * a) * (x * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if x <= -1.6e+19:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif x <= -1.75e-260:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif x <= 5.5e-14:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif x <= 2.15e+201:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif x <= 4.2e+267:
		tmp = x * (j * ((i * y1) - (b * y0)))
	else:
		tmp = (y * a) * (x * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (x <= -1.6e+19)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (x <= -1.75e-260)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (x <= 5.5e-14)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (x <= 2.15e+201)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (x <= 4.2e+267)
		tmp = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(Float64(y * a) * Float64(x * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (x <= -1.6e+19)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (x <= -1.75e-260)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (x <= 5.5e-14)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (x <= 2.15e+201)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (x <= 4.2e+267)
		tmp = x * (j * ((i * y1) - (b * y0)));
	else
		tmp = (y * a) * (x * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[x, -1.6e+19], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.75e-260], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.5e-14], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.15e+201], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.2e+267], N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y * a), $MachinePrecision] * N[(x * b), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if x < -1.6e19

   1. Initial program 21.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 35.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 39.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.0%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 39.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 39.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 39.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 39.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 39.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 39.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -1.6e19 < x < -1.75e-260

   1. Initial program 43.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -1.75e-260 < x < 5.49999999999999991e-14

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 39.1%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if 5.49999999999999991e-14 < x < 2.14999999999999995e201

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 33.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 44.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 2.14999999999999995e201 < x < 4.20000000000000007e267

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 67.4%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(j \cdot x\right) \cdot \left(i \cdot y1 - y0 \cdot b\right)} \]

      2. *-commutative 67.4%

         \[\leadsto \color{blue}{\left(x \cdot j\right)} \cdot \left(i \cdot y1 - y0 \cdot b\right) \]

      3. associate-*l* 67.5%

         \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(i \cdot y1 - y0 \cdot b\right)\right)} \]

      4. *-commutative 67.5%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{y1 \cdot i} - y0 \cdot b\right)\right) \]

   7. Simplified 67.5%

      \[\leadsto \color{blue}{x \cdot \left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 4.20000000000000007e267 < x

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 33.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 33.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in a around inf 66.8%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 66.8%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      2. +-commutative 66.8%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      3. mul-1-neg 66.8%

         \[\leadsto \left(y \cdot a\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      4. unsub-neg 66.8%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

      5. *-commutative 66.8%

         \[\leadsto \left(y \cdot a\right) \cdot \left(\color{blue}{x \cdot b} - y3 \cdot y5\right) \]

   9. Simplified 66.8%

      \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)} \]

   10. Taylor expanded in x around inf 66.8%

       \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.6 \cdot 10^{+19}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{-260}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-14}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 2.15 \cdot 10^{+201}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{+267}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b\right)\\ \end{array} \]

Alternative 29: 30.1% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_2 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y0 \leq -5.1 \cdot 10^{-9}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y0 \leq -1.6 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq 3.05 \cdot 10^{-245}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 8 \cdot 10^{-160}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y4 (- (* y y3) (* t y2)))))
        (t_2 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y0 -5.1e-9)
     t_2
     (if (<= y0 -1.6e-201)
       t_1
       (if (<= y0 3.05e-245)
         (* c (* x (- (* y0 y2) (* y i))))
         (if (<= y0 8e-160) t_1 t_2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y4 * ((y * y3) - (t * y2)));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y0 <= -5.1e-9) {
		tmp = t_2;
	} else if (y0 <= -1.6e-201) {
		tmp = t_1;
	} else if (y0 <= 3.05e-245) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y0 <= 8e-160) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (y4 * ((y * y3) - (t * y2)))
    t_2 = c * (y0 * ((x * y2) - (z * y3)))
    if (y0 <= (-5.1d-9)) then
        tmp = t_2
    else if (y0 <= (-1.6d-201)) then
        tmp = t_1
    else if (y0 <= 3.05d-245) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y0 <= 8d-160) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y4 * ((y * y3) - (t * y2)));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y0 <= -5.1e-9) {
		tmp = t_2;
	} else if (y0 <= -1.6e-201) {
		tmp = t_1;
	} else if (y0 <= 3.05e-245) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y0 <= 8e-160) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y4 * ((y * y3) - (t * y2)))
	t_2 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y0 <= -5.1e-9:
		tmp = t_2
	elif y0 <= -1.6e-201:
		tmp = t_1
	elif y0 <= 3.05e-245:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y0 <= 8e-160:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	t_2 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y0 <= -5.1e-9)
		tmp = t_2;
	elseif (y0 <= -1.6e-201)
		tmp = t_1;
	elseif (y0 <= 3.05e-245)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y0 <= 8e-160)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y4 * ((y * y3) - (t * y2)));
	t_2 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y0 <= -5.1e-9)
		tmp = t_2;
	elseif (y0 <= -1.6e-201)
		tmp = t_1;
	elseif (y0 <= 3.05e-245)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y0 <= 8e-160)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -5.1e-9], t$95$2, If[LessEqual[y0, -1.6e-201], t$95$1, If[LessEqual[y0, 3.05e-245], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 8e-160], t$95$1, t$95$2]]]]]]

Derivation

1. Split input into 3 regimes

2. if y0 < -5.10000000000000017e-9 or 7.9999999999999999e-160 < y0

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 34.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 37.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -5.10000000000000017e-9 < y0 < -1.6000000000000001e-201 or 3.05000000000000011e-245 < y0 < 7.9999999999999999e-160

   1. Initial program 24.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 51.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 46.2%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -1.6000000000000001e-201 < y0 < 3.05000000000000011e-245

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 38.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 30.2%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 30.2%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 30.2%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 30.2%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 30.2%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 38.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -5.1 \cdot 10^{-9}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq -1.6 \cdot 10^{-201}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 3.05 \cdot 10^{-245}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 8 \cdot 10^{-160}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]

Alternative 30: 30.2% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y0 \leq -1.6 \cdot 10^{-9}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -2.3 \cdot 10^{-201}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.6 \cdot 10^{-237}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 3.3 \cdot 10^{-153}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y0 -1.6e-9)
     t_1
     (if (<= y0 -2.3e-201)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= y0 2.6e-237)
         (* c (* x (- (* y0 y2) (* y i))))
         (if (<= y0 3.3e-153) (* c (* t (- (* z i) (* y2 y4)))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y0 <= -1.6e-9) {
		tmp = t_1;
	} else if (y0 <= -2.3e-201) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y0 <= 2.6e-237) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y0 <= 3.3e-153) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    if (y0 <= (-1.6d-9)) then
        tmp = t_1
    else if (y0 <= (-2.3d-201)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y0 <= 2.6d-237) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y0 <= 3.3d-153) then
        tmp = c * (t * ((z * i) - (y2 * y4)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y0 <= -1.6e-9) {
		tmp = t_1;
	} else if (y0 <= -2.3e-201) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y0 <= 2.6e-237) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y0 <= 3.3e-153) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y0 <= -1.6e-9:
		tmp = t_1
	elif y0 <= -2.3e-201:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y0 <= 2.6e-237:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y0 <= 3.3e-153:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y0 <= -1.6e-9)
		tmp = t_1;
	elseif (y0 <= -2.3e-201)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y0 <= 2.6e-237)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y0 <= 3.3e-153)
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y0 <= -1.6e-9)
		tmp = t_1;
	elseif (y0 <= -2.3e-201)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y0 <= 2.6e-237)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y0 <= 3.3e-153)
		tmp = c * (t * ((z * i) - (y2 * y4)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1.6e-9], t$95$1, If[LessEqual[y0, -2.3e-201], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2.6e-237], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 3.3e-153], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if y0 < -1.60000000000000006e-9 or 3.29999999999999988e-153 < y0

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 34.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 37.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -1.60000000000000006e-9 < y0 < -2.29999999999999986e-201

   1. Initial program 19.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 41.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 42.7%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -2.29999999999999986e-201 < y0 < 2.6000000000000002e-237

   1. Initial program 17.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 41.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 33.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 33.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 33.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 33.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 33.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 33.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 33.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 33.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 2.6000000000000002e-237 < y0 < 3.29999999999999988e-153

   1. Initial program 38.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 72.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 50.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(i \cdot z - y4 \cdot y2\right) \cdot t\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 38.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.6 \cdot 10^{-9}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq -2.3 \cdot 10^{-201}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.6 \cdot 10^{-237}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 3.3 \cdot 10^{-153}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]

Alternative 31: 22.3% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -1.8 \cdot 10^{+88}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{-120}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 5.3 \cdot 10^{-102}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 32500000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{+104}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* a (* y2 y5)))))
   (if (<= b -1.8e+88)
     (* y (* x (* a b)))
     (if (<= b -1.7e-120)
       t_1
       (if (<= b 5.3e-102)
         (* k (* y (* i y5)))
         (if (<= b 32500000000000.0)
           t_1
           (if (<= b 1.15e+104) (* k (* i (* y y5))) (* a (* x (* y b))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (a * (y2 * y5));
	double tmp;
	if (b <= -1.8e+88) {
		tmp = y * (x * (a * b));
	} else if (b <= -1.7e-120) {
		tmp = t_1;
	} else if (b <= 5.3e-102) {
		tmp = k * (y * (i * y5));
	} else if (b <= 32500000000000.0) {
		tmp = t_1;
	} else if (b <= 1.15e+104) {
		tmp = k * (i * (y * y5));
	} else {
		tmp = a * (x * (y * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = t * (a * (y2 * y5))
    if (b <= (-1.8d+88)) then
        tmp = y * (x * (a * b))
    else if (b <= (-1.7d-120)) then
        tmp = t_1
    else if (b <= 5.3d-102) then
        tmp = k * (y * (i * y5))
    else if (b <= 32500000000000.0d0) then
        tmp = t_1
    else if (b <= 1.15d+104) then
        tmp = k * (i * (y * y5))
    else
        tmp = a * (x * (y * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (a * (y2 * y5));
	double tmp;
	if (b <= -1.8e+88) {
		tmp = y * (x * (a * b));
	} else if (b <= -1.7e-120) {
		tmp = t_1;
	} else if (b <= 5.3e-102) {
		tmp = k * (y * (i * y5));
	} else if (b <= 32500000000000.0) {
		tmp = t_1;
	} else if (b <= 1.15e+104) {
		tmp = k * (i * (y * y5));
	} else {
		tmp = a * (x * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (a * (y2 * y5))
	tmp = 0
	if b <= -1.8e+88:
		tmp = y * (x * (a * b))
	elif b <= -1.7e-120:
		tmp = t_1
	elif b <= 5.3e-102:
		tmp = k * (y * (i * y5))
	elif b <= 32500000000000.0:
		tmp = t_1
	elif b <= 1.15e+104:
		tmp = k * (i * (y * y5))
	else:
		tmp = a * (x * (y * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(a * Float64(y2 * y5)))
	tmp = 0.0
	if (b <= -1.8e+88)
		tmp = Float64(y * Float64(x * Float64(a * b)));
	elseif (b <= -1.7e-120)
		tmp = t_1;
	elseif (b <= 5.3e-102)
		tmp = Float64(k * Float64(y * Float64(i * y5)));
	elseif (b <= 32500000000000.0)
		tmp = t_1;
	elseif (b <= 1.15e+104)
		tmp = Float64(k * Float64(i * Float64(y * y5)));
	else
		tmp = Float64(a * Float64(x * Float64(y * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (a * (y2 * y5));
	tmp = 0.0;
	if (b <= -1.8e+88)
		tmp = y * (x * (a * b));
	elseif (b <= -1.7e-120)
		tmp = t_1;
	elseif (b <= 5.3e-102)
		tmp = k * (y * (i * y5));
	elseif (b <= 32500000000000.0)
		tmp = t_1;
	elseif (b <= 1.15e+104)
		tmp = k * (i * (y * y5));
	else
		tmp = a * (x * (y * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.8e+88], N[(y * N[(x * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.7e-120], t$95$1, If[LessEqual[b, 5.3e-102], N[(k * N[(y * N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 32500000000000.0], t$95$1, If[LessEqual[b, 1.15e+104], N[(k * N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if b < -1.8000000000000001e88

   1. Initial program 20.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.9%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 31.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 31.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 49.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 36.8%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 41.8%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 41.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

   10. Simplified 41.8%

       \[\leadsto y \cdot \color{blue}{\left(\left(b \cdot a\right) \cdot x\right)} \]

   if -1.8000000000000001e88 < b < -1.70000000000000005e-120 or 5.3000000000000003e-102 < b < 3.25e13

   1. Initial program 39.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 42.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 35.4%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 35.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 35.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 35.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 35.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 35.4%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 34.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 31.7%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 31.7%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 31.7%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 29.4%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 29.4%

          \[\leadsto a \cdot \color{blue}{\left(\left(y5 \cdot y2\right) \cdot t\right)} \]

       2. associate-*r* 33.0%

          \[\leadsto \color{blue}{\left(a \cdot \left(y5 \cdot y2\right)\right) \cdot t} \]

       3. *-commutative 33.0%

          \[\leadsto \left(a \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \cdot t \]

   12. Simplified 33.0%

       \[\leadsto \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right) \cdot t} \]

   if -1.70000000000000005e-120 < b < 5.3000000000000003e-102

   1. Initial program 26.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 33.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.8%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 33.8%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 24.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 24.2%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 24.2%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 24.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 24.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 24.2%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around 0 21.9%

       \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5\right)\right)} \]

   if 3.25e13 < b < 1.14999999999999992e104

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 27.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 27.4%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 27.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 27.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 27.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 27.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 27.4%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 29.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 29.4%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 29.4%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 29.4%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 29.4%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 29.4%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in i around inf 28.4%

       \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5\right)\right)} \]

   if 1.14999999999999992e104 < b

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 32.2%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 32.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 32.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 37.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 34.9%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 32.8%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(b \cdot x\right)} \]

      2. *-commutative 32.8%

         \[\leadsto \color{blue}{\left(a \cdot y\right)} \cdot \left(b \cdot x\right) \]

      3. associate-*r* 37.2%

         \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x\right)\right)} \]

      4. associate-*r* 37.1%

         \[\leadsto a \cdot \color{blue}{\left(\left(y \cdot b\right) \cdot x\right)} \]

      5. *-commutative 37.1%

         \[\leadsto a \cdot \left(\color{blue}{\left(b \cdot y\right)} \cdot x\right) \]

   10. Simplified 37.1%

       \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot y\right) \cdot x\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 31.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.8 \cdot 10^{+88}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{-120}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 5.3 \cdot 10^{-102}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 32500000000000:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{+104}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \end{array} \]

Alternative 32: 27.7% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{if}\;x \leq -1.82 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-289}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-100}:\\ \;\;\;\;\left(a \cdot y2\right) \cdot \left(t \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (- (* y0 y2) (* y i))))))
   (if (<= x -1.82e+49)
     t_1
     (if (<= x 3.7e-289)
       (* k (* i (* y y5)))
       (if (<= x 1.15e-100) (* (* a y2) (* t y5)) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (x <= -1.82e+49) {
		tmp = t_1;
	} else if (x <= 3.7e-289) {
		tmp = k * (i * (y * y5));
	} else if (x <= 1.15e-100) {
		tmp = (a * y2) * (t * y5);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (x * ((y0 * y2) - (y * i)))
    if (x <= (-1.82d+49)) then
        tmp = t_1
    else if (x <= 3.7d-289) then
        tmp = k * (i * (y * y5))
    else if (x <= 1.15d-100) then
        tmp = (a * y2) * (t * y5)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (x <= -1.82e+49) {
		tmp = t_1;
	} else if (x <= 3.7e-289) {
		tmp = k * (i * (y * y5));
	} else if (x <= 1.15e-100) {
		tmp = (a * y2) * (t * y5);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * ((y0 * y2) - (y * i)))
	tmp = 0
	if x <= -1.82e+49:
		tmp = t_1
	elif x <= 3.7e-289:
		tmp = k * (i * (y * y5))
	elif x <= 1.15e-100:
		tmp = (a * y2) * (t * y5)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))))
	tmp = 0.0
	if (x <= -1.82e+49)
		tmp = t_1;
	elseif (x <= 3.7e-289)
		tmp = Float64(k * Float64(i * Float64(y * y5)));
	elseif (x <= 1.15e-100)
		tmp = Float64(Float64(a * y2) * Float64(t * y5));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * ((y0 * y2) - (y * i)));
	tmp = 0.0;
	if (x <= -1.82e+49)
		tmp = t_1;
	elseif (x <= 3.7e-289)
		tmp = k * (i * (y * y5));
	elseif (x <= 1.15e-100)
		tmp = (a * y2) * (t * y5);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.82e+49], t$95$1, If[LessEqual[x, 3.7e-289], N[(k * N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.15e-100], N[(N[(a * y2), $MachinePrecision] * N[(t * y5), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -1.82000000000000013e49 or 1.14999999999999997e-100 < x

   1. Initial program 23.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 37.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 41.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 41.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 41.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 41.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 41.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 41.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 41.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -1.82000000000000013e49 < x < 3.69999999999999989e-289

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 31.5%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.5%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 31.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 31.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 31.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 31.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 21.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 21.4%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 21.4%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 21.4%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 21.4%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 21.4%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in i around inf 23.9%

       \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5\right)\right)} \]

   if 3.69999999999999989e-289 < x < 1.14999999999999997e-100

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 41.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 46.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 46.7%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 46.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 46.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 46.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 46.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 37.1%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.2%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 37.2%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 37.2%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 26.8%

       \[\leadsto \left(t \cdot y5\right) \cdot \color{blue}{\left(a \cdot y2\right)} \]
   11. Step-by-step derivation

       1. *-commutative 26.8%

          \[\leadsto \left(t \cdot y5\right) \cdot \color{blue}{\left(y2 \cdot a\right)} \]

   12. Simplified 26.8%

       \[\leadsto \left(t \cdot y5\right) \cdot \color{blue}{\left(y2 \cdot a\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 34.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.82 \cdot 10^{+49}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-289}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-100}:\\ \;\;\;\;\left(a \cdot y2\right) \cdot \left(t \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \end{array} \]

Alternative 33: 33.2% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{if}\;x \leq -1.2 \cdot 10^{+18}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-264}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+16}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (- (* y0 y2) (* y i))))))
   (if (<= x -1.2e+18)
     t_1
     (if (<= x -6e-264)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= x 4.5e+16) (* t (* y5 (- (* a y2) (* i 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 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (x <= -1.2e+18) {
		tmp = t_1;
	} else if (x <= -6e-264) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 4.5e+16) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (x * ((y0 * y2) - (y * i)))
    if (x <= (-1.2d+18)) then
        tmp = t_1
    else if (x <= (-6d-264)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (x <= 4.5d+16) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (x <= -1.2e+18) {
		tmp = t_1;
	} else if (x <= -6e-264) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (x <= 4.5e+16) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * ((y0 * y2) - (y * i)))
	tmp = 0
	if x <= -1.2e+18:
		tmp = t_1
	elif x <= -6e-264:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif x <= 4.5e+16:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))))
	tmp = 0.0
	if (x <= -1.2e+18)
		tmp = t_1;
	elseif (x <= -6e-264)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (x <= 4.5e+16)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * ((y0 * y2) - (y * i)));
	tmp = 0.0;
	if (x <= -1.2e+18)
		tmp = t_1;
	elseif (x <= -6e-264)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (x <= 4.5e+16)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.2e+18], t$95$1, If[LessEqual[x, -6e-264], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.5e+16], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -1.2e18 or 4.5e16 < x

   1. Initial program 23.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 36.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 43.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.0%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 43.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 43.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 43.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 43.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 43.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 43.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -1.2e18 < x < -6.0000000000000001e-264

   1. Initial program 43.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y4 around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -6.0000000000000001e-264 < x < 4.5e16

   1. Initial program 27.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.8%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 38.2%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 41.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.2 \cdot 10^{+18}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-264}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+16}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \end{array} \]

Alternative 34: 20.9% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{if}\;x \leq -1.36 \cdot 10^{+163}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -4.4 \cdot 10^{-104}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-14}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+181}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* x (* y b)))))
   (if (<= x -1.36e+163)
     t_1
     (if (<= x -4.4e-104)
       (* a (* t (* y2 y5)))
       (if (<= x 3.7e-14)
         (* k (* i (* y y5)))
         (if (<= x 8.2e+181) (* c (* y0 (* x y2))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (x * (y * b));
	double tmp;
	if (x <= -1.36e+163) {
		tmp = t_1;
	} else if (x <= -4.4e-104) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= 3.7e-14) {
		tmp = k * (i * (y * y5));
	} else if (x <= 8.2e+181) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (x * (y * b))
    if (x <= (-1.36d+163)) then
        tmp = t_1
    else if (x <= (-4.4d-104)) then
        tmp = a * (t * (y2 * y5))
    else if (x <= 3.7d-14) then
        tmp = k * (i * (y * y5))
    else if (x <= 8.2d+181) then
        tmp = c * (y0 * (x * y2))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (x * (y * b));
	double tmp;
	if (x <= -1.36e+163) {
		tmp = t_1;
	} else if (x <= -4.4e-104) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= 3.7e-14) {
		tmp = k * (i * (y * y5));
	} else if (x <= 8.2e+181) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (x * (y * b))
	tmp = 0
	if x <= -1.36e+163:
		tmp = t_1
	elif x <= -4.4e-104:
		tmp = a * (t * (y2 * y5))
	elif x <= 3.7e-14:
		tmp = k * (i * (y * y5))
	elif x <= 8.2e+181:
		tmp = c * (y0 * (x * y2))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(x * Float64(y * b)))
	tmp = 0.0
	if (x <= -1.36e+163)
		tmp = t_1;
	elseif (x <= -4.4e-104)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (x <= 3.7e-14)
		tmp = Float64(k * Float64(i * Float64(y * y5)));
	elseif (x <= 8.2e+181)
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (x * (y * b));
	tmp = 0.0;
	if (x <= -1.36e+163)
		tmp = t_1;
	elseif (x <= -4.4e-104)
		tmp = a * (t * (y2 * y5));
	elseif (x <= 3.7e-14)
		tmp = k * (i * (y * y5));
	elseif (x <= 8.2e+181)
		tmp = c * (y0 * (x * y2));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.36e+163], t$95$1, If[LessEqual[x, -4.4e-104], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.7e-14], N[(k * N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.2e+181], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if x < -1.36000000000000001e163 or 8.20000000000000035e181 < x

   1. Initial program 15.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 15.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 45.0%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 45.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 45.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 52.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 45.5%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 40.6%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(b \cdot x\right)} \]

      2. *-commutative 40.6%

         \[\leadsto \color{blue}{\left(a \cdot y\right)} \cdot \left(b \cdot x\right) \]

      3. associate-*r* 47.2%

         \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x\right)\right)} \]

      4. associate-*r* 47.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(y \cdot b\right) \cdot x\right)} \]

      5. *-commutative 47.3%

         \[\leadsto a \cdot \left(\color{blue}{\left(b \cdot y\right)} \cdot x\right) \]

   10. Simplified 47.3%

       \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot y\right) \cdot x\right)} \]

   if -1.36000000000000001e163 < x < -4.40000000000000023e-104

   1. Initial program 37.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.7%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 39.7%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 39.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 39.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 39.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 39.7%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 39.7%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 22.9%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 22.8%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 22.8%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 22.8%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 21.1%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   if -4.40000000000000023e-104 < x < 3.70000000000000001e-14

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.4%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 34.4%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 34.4%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 34.4%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 18.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 18.2%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 18.2%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 18.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 18.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 18.2%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in i around inf 20.6%

       \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5\right)\right)} \]

   if 3.70000000000000001e-14 < x < 8.20000000000000035e181

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 33.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 39.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.0%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 39.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 39.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 39.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 39.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 39.0%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 39.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around -inf 34.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 29.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.36 \cdot 10^{+163}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -4.4 \cdot 10^{-104}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-14}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+181}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \end{array} \]

Alternative 35: 19.4% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{if}\;a \leq -4.2 \cdot 10^{+192}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1 \cdot 10^{+109}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(y2 \cdot y5\right)\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-225}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{+87}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (* a b)))))
   (if (<= a -4.2e+192)
     t_1
     (if (<= a -1e+109)
       (* (* t a) (* y2 y5))
       (if (<= a -8e-225)
         t_1
         (if (<= a 2.4e+87) (* k (* i (* y y5))) (* y (* b (* x a)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * (a * b));
	double tmp;
	if (a <= -4.2e+192) {
		tmp = t_1;
	} else if (a <= -1e+109) {
		tmp = (t * a) * (y2 * y5);
	} else if (a <= -8e-225) {
		tmp = t_1;
	} else if (a <= 2.4e+87) {
		tmp = k * (i * (y * y5));
	} else {
		tmp = y * (b * (x * a));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (x * (a * b))
    if (a <= (-4.2d+192)) then
        tmp = t_1
    else if (a <= (-1d+109)) then
        tmp = (t * a) * (y2 * y5)
    else if (a <= (-8d-225)) then
        tmp = t_1
    else if (a <= 2.4d+87) then
        tmp = k * (i * (y * y5))
    else
        tmp = y * (b * (x * a))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * (a * b));
	double tmp;
	if (a <= -4.2e+192) {
		tmp = t_1;
	} else if (a <= -1e+109) {
		tmp = (t * a) * (y2 * y5);
	} else if (a <= -8e-225) {
		tmp = t_1;
	} else if (a <= 2.4e+87) {
		tmp = k * (i * (y * y5));
	} else {
		tmp = y * (b * (x * a));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * (a * b))
	tmp = 0
	if a <= -4.2e+192:
		tmp = t_1
	elif a <= -1e+109:
		tmp = (t * a) * (y2 * y5)
	elif a <= -8e-225:
		tmp = t_1
	elif a <= 2.4e+87:
		tmp = k * (i * (y * y5))
	else:
		tmp = y * (b * (x * a))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(a * b)))
	tmp = 0.0
	if (a <= -4.2e+192)
		tmp = t_1;
	elseif (a <= -1e+109)
		tmp = Float64(Float64(t * a) * Float64(y2 * y5));
	elseif (a <= -8e-225)
		tmp = t_1;
	elseif (a <= 2.4e+87)
		tmp = Float64(k * Float64(i * Float64(y * y5)));
	else
		tmp = Float64(y * Float64(b * Float64(x * a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * (a * b));
	tmp = 0.0;
	if (a <= -4.2e+192)
		tmp = t_1;
	elseif (a <= -1e+109)
		tmp = (t * a) * (y2 * y5);
	elseif (a <= -8e-225)
		tmp = t_1;
	elseif (a <= 2.4e+87)
		tmp = k * (i * (y * y5));
	else
		tmp = y * (b * (x * a));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -4.2e+192], t$95$1, If[LessEqual[a, -1e+109], N[(N[(t * a), $MachinePrecision] * N[(y2 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8e-225], t$95$1, If[LessEqual[a, 2.4e+87], N[(k * N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(b * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if a < -4.19999999999999989e192 or -9.99999999999999982e108 < a < -7.9999999999999997e-225

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 33.5%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 33.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 33.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 23.5%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 28.1%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 28.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

   10. Simplified 28.1%

       \[\leadsto y \cdot \color{blue}{\left(\left(b \cdot a\right) \cdot x\right)} \]

   if -4.19999999999999989e192 < a < -9.99999999999999982e108

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 53.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 53.0%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 53.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 53.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 53.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 53.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 53.0%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 37.9%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 41.7%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 41.7%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 41.7%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 26.2%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 37.6%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 37.6%

          \[\leadsto \left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

   12. Simplified 37.6%

       \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

   if -7.9999999999999997e-225 < a < 2.39999999999999981e87

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 38.9%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 38.9%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 28.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 28.2%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 28.2%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 28.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 28.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 28.2%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in i around inf 25.1%

       \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5\right)\right)} \]

   if 2.39999999999999981e87 < a

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 31.6%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 31.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 47.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 37.0%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 37.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

      3. associate-*l* 41.2%

         \[\leadsto y \cdot \color{blue}{\left(b \cdot \left(a \cdot x\right)\right)} \]

   10. Simplified 41.2%

       \[\leadsto \color{blue}{y \cdot \left(b \cdot \left(a \cdot x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 30.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.2 \cdot 10^{+192}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;a \leq -1 \cdot 10^{+109}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(y2 \cdot y5\right)\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-225}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{+87}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 36: 22.3% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ t_2 := t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -3.5 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-121}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5.4 \cdot 10^{-102}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{+47}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (* a b)))) (t_2 (* t (* a (* y2 y5)))))
   (if (<= b -3.5e+86)
     t_1
     (if (<= b -2.5e-121)
       t_2
       (if (<= b 5.4e-102)
         (* (* y k) (* i y5))
         (if (<= b 8.5e+47) t_2 t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * (a * b));
	double t_2 = t * (a * (y2 * y5));
	double tmp;
	if (b <= -3.5e+86) {
		tmp = t_1;
	} else if (b <= -2.5e-121) {
		tmp = t_2;
	} else if (b <= 5.4e-102) {
		tmp = (y * k) * (i * y5);
	} else if (b <= 8.5e+47) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y * (x * (a * b))
    t_2 = t * (a * (y2 * y5))
    if (b <= (-3.5d+86)) then
        tmp = t_1
    else if (b <= (-2.5d-121)) then
        tmp = t_2
    else if (b <= 5.4d-102) then
        tmp = (y * k) * (i * y5)
    else if (b <= 8.5d+47) then
        tmp = t_2
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * (a * b));
	double t_2 = t * (a * (y2 * y5));
	double tmp;
	if (b <= -3.5e+86) {
		tmp = t_1;
	} else if (b <= -2.5e-121) {
		tmp = t_2;
	} else if (b <= 5.4e-102) {
		tmp = (y * k) * (i * y5);
	} else if (b <= 8.5e+47) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * (a * b))
	t_2 = t * (a * (y2 * y5))
	tmp = 0
	if b <= -3.5e+86:
		tmp = t_1
	elif b <= -2.5e-121:
		tmp = t_2
	elif b <= 5.4e-102:
		tmp = (y * k) * (i * y5)
	elif b <= 8.5e+47:
		tmp = t_2
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(a * b)))
	t_2 = Float64(t * Float64(a * Float64(y2 * y5)))
	tmp = 0.0
	if (b <= -3.5e+86)
		tmp = t_1;
	elseif (b <= -2.5e-121)
		tmp = t_2;
	elseif (b <= 5.4e-102)
		tmp = Float64(Float64(y * k) * Float64(i * y5));
	elseif (b <= 8.5e+47)
		tmp = t_2;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * (a * b));
	t_2 = t * (a * (y2 * y5));
	tmp = 0.0;
	if (b <= -3.5e+86)
		tmp = t_1;
	elseif (b <= -2.5e-121)
		tmp = t_2;
	elseif (b <= 5.4e-102)
		tmp = (y * k) * (i * y5);
	elseif (b <= 8.5e+47)
		tmp = t_2;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -3.5e+86], t$95$1, If[LessEqual[b, -2.5e-121], t$95$2, If[LessEqual[b, 5.4e-102], N[(N[(y * k), $MachinePrecision] * N[(i * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 8.5e+47], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if b < -3.50000000000000019e86 or 8.5000000000000008e47 < b

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 30.8%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 30.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 30.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 33.4%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 36.8%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 36.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

   10. Simplified 36.8%

       \[\leadsto y \cdot \color{blue}{\left(\left(b \cdot a\right) \cdot x\right)} \]

   if -3.50000000000000019e86 < b < -2.49999999999999995e-121 or 5.4e-102 < b < 8.5000000000000008e47

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 41.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.5%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 34.5%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 34.5%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 33.4%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 31.1%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 31.1%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 31.1%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 28.9%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 28.9%

          \[\leadsto a \cdot \color{blue}{\left(\left(y5 \cdot y2\right) \cdot t\right)} \]

       2. associate-*r* 32.3%

          \[\leadsto \color{blue}{\left(a \cdot \left(y5 \cdot y2\right)\right) \cdot t} \]

       3. *-commutative 32.3%

          \[\leadsto \left(a \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \cdot t \]

   12. Simplified 32.3%

       \[\leadsto \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right) \cdot t} \]

   if -2.49999999999999995e-121 < b < 5.4e-102

   1. Initial program 26.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 33.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.8%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 33.8%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 24.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 24.2%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 24.2%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 24.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 24.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 24.2%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around 0 21.9%

       \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 24.0%

          \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(i \cdot y5\right)} \]

       2. *-commutative 24.0%

          \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(k \cdot y\right)} \]

       3. *-commutative 24.0%

          \[\leadsto \left(i \cdot y5\right) \cdot \color{blue}{\left(y \cdot k\right)} \]

   12. Simplified 24.0%

       \[\leadsto \color{blue}{\left(i \cdot y5\right) \cdot \left(y \cdot k\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 31.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -3.5 \cdot 10^{+86}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 5.4 \cdot 10^{-102}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{+47}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \end{array} \]

Alternative 37: 22.2% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ t_2 := t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -1.16 \cdot 10^{+91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{-121}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-102}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq 8.6 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* x (* a b)))) (t_2 (* t (* a (* y2 y5)))))
   (if (<= b -1.16e+91)
     t_1
     (if (<= b -2.3e-121)
       t_2
       (if (<= b 3.6e-102)
         (* y5 (* i (* y k)))
         (if (<= b 8.6e+49) t_2 t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * (a * b));
	double t_2 = t * (a * (y2 * y5));
	double tmp;
	if (b <= -1.16e+91) {
		tmp = t_1;
	} else if (b <= -2.3e-121) {
		tmp = t_2;
	} else if (b <= 3.6e-102) {
		tmp = y5 * (i * (y * k));
	} else if (b <= 8.6e+49) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y * (x * (a * b))
    t_2 = t * (a * (y2 * y5))
    if (b <= (-1.16d+91)) then
        tmp = t_1
    else if (b <= (-2.3d-121)) then
        tmp = t_2
    else if (b <= 3.6d-102) then
        tmp = y5 * (i * (y * k))
    else if (b <= 8.6d+49) then
        tmp = t_2
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (x * (a * b));
	double t_2 = t * (a * (y2 * y5));
	double tmp;
	if (b <= -1.16e+91) {
		tmp = t_1;
	} else if (b <= -2.3e-121) {
		tmp = t_2;
	} else if (b <= 3.6e-102) {
		tmp = y5 * (i * (y * k));
	} else if (b <= 8.6e+49) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (x * (a * b))
	t_2 = t * (a * (y2 * y5))
	tmp = 0
	if b <= -1.16e+91:
		tmp = t_1
	elif b <= -2.3e-121:
		tmp = t_2
	elif b <= 3.6e-102:
		tmp = y5 * (i * (y * k))
	elif b <= 8.6e+49:
		tmp = t_2
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(x * Float64(a * b)))
	t_2 = Float64(t * Float64(a * Float64(y2 * y5)))
	tmp = 0.0
	if (b <= -1.16e+91)
		tmp = t_1;
	elseif (b <= -2.3e-121)
		tmp = t_2;
	elseif (b <= 3.6e-102)
		tmp = Float64(y5 * Float64(i * Float64(y * k)));
	elseif (b <= 8.6e+49)
		tmp = t_2;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (x * (a * b));
	t_2 = t * (a * (y2 * y5));
	tmp = 0.0;
	if (b <= -1.16e+91)
		tmp = t_1;
	elseif (b <= -2.3e-121)
		tmp = t_2;
	elseif (b <= 3.6e-102)
		tmp = y5 * (i * (y * k));
	elseif (b <= 8.6e+49)
		tmp = t_2;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(x * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.16e+91], t$95$1, If[LessEqual[b, -2.3e-121], t$95$2, If[LessEqual[b, 3.6e-102], N[(y5 * N[(i * N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 8.6e+49], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if b < -1.1600000000000001e91 or 8.5999999999999998e49 < b

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 30.8%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 30.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 30.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 33.4%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 36.8%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 36.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

   10. Simplified 36.8%

       \[\leadsto y \cdot \color{blue}{\left(\left(b \cdot a\right) \cdot x\right)} \]

   if -1.1600000000000001e91 < b < -2.30000000000000012e-121 or 3.6e-102 < b < 8.5999999999999998e49

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 41.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.5%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 34.5%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 34.5%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 34.5%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 33.4%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 31.1%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 31.1%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 31.1%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 28.9%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 28.9%

          \[\leadsto a \cdot \color{blue}{\left(\left(y5 \cdot y2\right) \cdot t\right)} \]

       2. associate-*r* 32.3%

          \[\leadsto \color{blue}{\left(a \cdot \left(y5 \cdot y2\right)\right) \cdot t} \]

       3. *-commutative 32.3%

          \[\leadsto \left(a \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \cdot t \]

   12. Simplified 32.3%

       \[\leadsto \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right) \cdot t} \]

   if -2.30000000000000012e-121 < b < 3.6e-102

   1. Initial program 26.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 33.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.8%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 33.8%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 33.8%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 24.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 24.2%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 24.2%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 24.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 24.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 24.2%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in y3 around 0 21.8%

       \[\leadsto \color{blue}{\left(k \cdot \left(i \cdot y\right)\right)} \cdot y5 \]
   11. Step-by-step derivation

       1. *-commutative 21.8%

          \[\leadsto \color{blue}{\left(\left(i \cdot y\right) \cdot k\right)} \cdot y5 \]

       2. associate-*l* 25.2%

          \[\leadsto \color{blue}{\left(i \cdot \left(y \cdot k\right)\right)} \cdot y5 \]

   12. Simplified 25.2%

       \[\leadsto \color{blue}{\left(i \cdot \left(y \cdot k\right)\right)} \cdot y5 \]
3. Recombined 3 regimes into one program.

4. Final simplification 31.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.16 \cdot 10^{+91}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-102}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq 8.6 \cdot 10^{+49}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \end{array} \]

Alternative 38: 30.3% accurate, 6.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -5.8 \cdot 10^{-18} \lor \neg \left(z \leq 6.4 \cdot 10^{+29}\right):\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= z -5.8e-18) (not (<= z 6.4e+29)))
   (* c (* y0 (- (* x y2) (* z y3))))
   (* c (* x (- (* y0 y2) (* y i))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((z <= -5.8e-18) || !(z <= 6.4e+29)) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((z <= (-5.8d-18)) .or. (.not. (z <= 6.4d+29))) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = c * (x * ((y0 * y2) - (y * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((z <= -5.8e-18) || !(z <= 6.4e+29)) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (z <= -5.8e-18) or not (z <= 6.4e+29):
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((z <= -5.8e-18) || !(z <= 6.4e+29))
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((z <= -5.8e-18) || ~((z <= 6.4e+29)))
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = c * (x * ((y0 * y2) - (y * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[z, -5.8e-18], N[Not[LessEqual[z, 6.4e+29]], $MachinePrecision]], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if z < -5.8e-18 or 6.39999999999999973e29 < z

   1. Initial program 26.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 26.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 35.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y0 around inf 37.1%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -5.8e-18 < z < 6.39999999999999973e29

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 34.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 34.9%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 34.9%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 34.9%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 34.9%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 34.9%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 34.9%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 34.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 36.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -5.8 \cdot 10^{-18} \lor \neg \left(z \leq 6.4 \cdot 10^{+29}\right):\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \end{array} \]

Alternative 39: 21.3% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{if}\;x \leq -1.95 \cdot 10^{+163}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 8 \cdot 10^{+181}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* x (* y b)))))
   (if (<= x -1.95e+163)
     t_1
     (if (<= x 2.5e+37)
       (* a (* t (* y2 y5)))
       (if (<= x 8e+181) (* c (* y0 (* x y2))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (x * (y * b));
	double tmp;
	if (x <= -1.95e+163) {
		tmp = t_1;
	} else if (x <= 2.5e+37) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= 8e+181) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (x * (y * b))
    if (x <= (-1.95d+163)) then
        tmp = t_1
    else if (x <= 2.5d+37) then
        tmp = a * (t * (y2 * y5))
    else if (x <= 8d+181) then
        tmp = c * (y0 * (x * y2))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (x * (y * b));
	double tmp;
	if (x <= -1.95e+163) {
		tmp = t_1;
	} else if (x <= 2.5e+37) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= 8e+181) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (x * (y * b))
	tmp = 0
	if x <= -1.95e+163:
		tmp = t_1
	elif x <= 2.5e+37:
		tmp = a * (t * (y2 * y5))
	elif x <= 8e+181:
		tmp = c * (y0 * (x * y2))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(x * Float64(y * b)))
	tmp = 0.0
	if (x <= -1.95e+163)
		tmp = t_1;
	elseif (x <= 2.5e+37)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (x <= 8e+181)
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (x * (y * b));
	tmp = 0.0;
	if (x <= -1.95e+163)
		tmp = t_1;
	elseif (x <= 2.5e+37)
		tmp = a * (t * (y2 * y5));
	elseif (x <= 8e+181)
		tmp = c * (y0 * (x * y2));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.95e+163], t$95$1, If[LessEqual[x, 2.5e+37], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8e+181], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -1.95000000000000012e163 or 7.9999999999999993e181 < x

   1. Initial program 15.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 15.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 45.0%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 45.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 45.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 52.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 45.5%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 40.6%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(b \cdot x\right)} \]

      2. *-commutative 40.6%

         \[\leadsto \color{blue}{\left(a \cdot y\right)} \cdot \left(b \cdot x\right) \]

      3. associate-*r* 47.2%

         \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x\right)\right)} \]

      4. associate-*r* 47.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(y \cdot b\right) \cdot x\right)} \]

      5. *-commutative 47.3%

         \[\leadsto a \cdot \left(\color{blue}{\left(b \cdot y\right)} \cdot x\right) \]

   10. Simplified 47.3%

       \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot y\right) \cdot x\right)} \]

   if -1.95000000000000012e163 < x < 2.49999999999999994e37

   1. Initial program 34.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.9%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 36.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 36.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 36.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 36.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 36.9%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 28.1%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 26.9%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 26.9%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 26.9%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 17.5%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   if 2.49999999999999994e37 < x < 7.9999999999999993e181

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 26.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 30.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in x around inf 44.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right) \cdot x\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.4%

         \[\leadsto c \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

      2. +-commutative 44.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 + -1 \cdot \left(i \cdot y\right)\right)}\right) \]

      3. mul-1-neg 44.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \color{blue}{\left(-i \cdot y\right)}\right)\right) \]

      4. *-commutative 44.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 + \left(-\color{blue}{y \cdot i}\right)\right)\right) \]

      5. unsub-neg 44.4%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y0 \cdot y2 - y \cdot i\right)}\right) \]

      6. *-commutative 44.4%

         \[\leadsto c \cdot \left(x \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \]

   7. Simplified 44.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Taylor expanded in y0 around -inf 40.9%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 27.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.95 \cdot 10^{+163}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+37}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 8 \cdot 10^{+181}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \end{array} \]

Alternative 40: 21.0% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -4.2 \cdot 10^{+163} \lor \neg \left(x \leq 9 \cdot 10^{+58}\right):\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= x -4.2e+163) (not (<= x 9e+58)))
   (* a (* x (* y b)))
   (* a (* t (* y2 y5)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((x <= -4.2e+163) || !(x <= 9e+58)) {
		tmp = a * (x * (y * b));
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((x <= (-4.2d+163)) .or. (.not. (x <= 9d+58))) then
        tmp = a * (x * (y * b))
    else
        tmp = a * (t * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((x <= -4.2e+163) || !(x <= 9e+58)) {
		tmp = a * (x * (y * b));
	} else {
		tmp = a * (t * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (x <= -4.2e+163) or not (x <= 9e+58):
		tmp = a * (x * (y * b))
	else:
		tmp = a * (t * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((x <= -4.2e+163) || !(x <= 9e+58))
		tmp = Float64(a * Float64(x * Float64(y * b)));
	else
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((x <= -4.2e+163) || ~((x <= 9e+58)))
		tmp = a * (x * (y * b));
	else
		tmp = a * (t * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[x, -4.2e+163], N[Not[LessEqual[x, 9e+58]], $MachinePrecision]], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if x < -4.2000000000000001e163 or 8.9999999999999996e58 < x

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 40.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 40.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 48.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 40.7%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 35.1%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(b \cdot x\right)} \]

      2. *-commutative 35.1%

         \[\leadsto \color{blue}{\left(a \cdot y\right)} \cdot \left(b \cdot x\right) \]

      3. associate-*r* 39.7%

         \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x\right)\right)} \]

      4. associate-*r* 38.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(y \cdot b\right) \cdot x\right)} \]

      5. *-commutative 38.6%

         \[\leadsto a \cdot \left(\color{blue}{\left(b \cdot y\right)} \cdot x\right) \]

   10. Simplified 38.6%

       \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot y\right) \cdot x\right)} \]

   if -4.2000000000000001e163 < x < 8.9999999999999996e58

   1. Initial program 33.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 42.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 36.2%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 36.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 36.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 36.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 36.2%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 36.2%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in t around inf 28.7%

      \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 27.6%

         \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

      2. *-commutative 27.6%

         \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

   9. Simplified 27.6%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

   10. Taylor expanded in y2 around inf 18.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 25.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4.2 \cdot 10^{+163} \lor \neg \left(x \leq 9 \cdot 10^{+58}\right):\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 41: 21.6% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -2.2 \cdot 10^{+40} \lor \neg \left(a \leq 9 \cdot 10^{+87}\right):\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= a -2.2e+40) (not (<= a 9e+87)))
   (* y (* b (* x a)))
   (* k (* i (* y y5)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((a <= -2.2e+40) || !(a <= 9e+87)) {
		tmp = y * (b * (x * a));
	} else {
		tmp = k * (i * (y * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((a <= (-2.2d+40)) .or. (.not. (a <= 9d+87))) then
        tmp = y * (b * (x * a))
    else
        tmp = k * (i * (y * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((a <= -2.2e+40) || !(a <= 9e+87)) {
		tmp = y * (b * (x * a));
	} else {
		tmp = k * (i * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (a <= -2.2e+40) or not (a <= 9e+87):
		tmp = y * (b * (x * a))
	else:
		tmp = k * (i * (y * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((a <= -2.2e+40) || !(a <= 9e+87))
		tmp = Float64(y * Float64(b * Float64(x * a)));
	else
		tmp = Float64(k * Float64(i * Float64(y * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((a <= -2.2e+40) || ~((a <= 9e+87)))
		tmp = y * (b * (x * a));
	else
		tmp = k * (i * (y * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[a, -2.2e+40], N[Not[LessEqual[a, 9e+87]], $MachinePrecision]], N[(y * N[(b * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if a < -2.1999999999999999e40 or 9.0000000000000005e87 < a

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 29.8%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 29.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 29.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 30.6%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 36.5%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 36.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

      3. associate-*l* 33.9%

         \[\leadsto y \cdot \color{blue}{\left(b \cdot \left(a \cdot x\right)\right)} \]

   10. Simplified 33.9%

       \[\leadsto \color{blue}{y \cdot \left(b \cdot \left(a \cdot x\right)\right)} \]

   if -2.1999999999999999e40 < a < 9.0000000000000005e87

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.0%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 37.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 37.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 37.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 37.0%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 37.0%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 21.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 21.8%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 21.8%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 21.8%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 21.8%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 21.8%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in i around inf 20.3%

       \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 26.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.2 \cdot 10^{+40} \lor \neg \left(a \leq 9 \cdot 10^{+87}\right):\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]

Alternative 42: 19.8% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -2.65 \cdot 10^{-225}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 4.9 \cdot 10^{+86}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -2.65e-225)
   (* y (* x (* a b)))
   (if (<= a 4.9e+86) (* k (* i (* y y5))) (* y (* b (* x a))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (a <= -2.65e-225) {
		tmp = y * (x * (a * b));
	} else if (a <= 4.9e+86) {
		tmp = k * (i * (y * y5));
	} else {
		tmp = y * (b * (x * a));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (a <= (-2.65d-225)) then
        tmp = y * (x * (a * b))
    else if (a <= 4.9d+86) then
        tmp = k * (i * (y * y5))
    else
        tmp = y * (b * (x * a))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (a <= -2.65e-225) {
		tmp = y * (x * (a * b));
	} else if (a <= 4.9e+86) {
		tmp = k * (i * (y * y5));
	} else {
		tmp = y * (b * (x * a));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if a <= -2.65e-225:
		tmp = y * (x * (a * b))
	elif a <= 4.9e+86:
		tmp = k * (i * (y * y5))
	else:
		tmp = y * (b * (x * a))
	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 (a <= -2.65e-225)
		tmp = Float64(y * Float64(x * Float64(a * b)));
	elseif (a <= 4.9e+86)
		tmp = Float64(k * Float64(i * Float64(y * y5)));
	else
		tmp = Float64(y * Float64(b * Float64(x * a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (a <= -2.65e-225)
		tmp = y * (x * (a * b));
	elseif (a <= 4.9e+86)
		tmp = k * (i * (y * y5));
	else
		tmp = y * (b * (x * a));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[a, -2.65e-225], N[(y * N[(x * N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.9e+86], N[(k * N[(i * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(b * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if a < -2.65000000000000003e-225

   1. Initial program 31.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 31.6%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 31.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 32.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 20.4%

      \[\leadsto y \cdot \color{blue}{\left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 25.7%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 25.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

   10. Simplified 25.7%

       \[\leadsto y \cdot \color{blue}{\left(\left(b \cdot a\right) \cdot x\right)} \]

   if -2.65000000000000003e-225 < a < 4.8999999999999999e86

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
   5. Step-by-step derivation

      1. mul-1-neg 38.9%

         \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

      2. mul-1-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

      3. mul-1-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

      4. sub-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

      5. sub-neg 38.9%

         \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

   6. Simplified 38.9%

      \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

   7. Taylor expanded in y around -inf 28.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y \cdot \left(a \cdot y3 - k \cdot i\right)\right)\right)} \cdot y5 \]
   8. Step-by-step derivation

      1. associate-*r* 28.2%

         \[\leadsto \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(a \cdot y3 - k \cdot i\right)\right)} \cdot y5 \]

      2. neg-mul-1 28.2%

         \[\leadsto \left(\color{blue}{\left(-y\right)} \cdot \left(a \cdot y3 - k \cdot i\right)\right) \cdot y5 \]

      3. *-commutative 28.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(\color{blue}{y3 \cdot a} - k \cdot i\right)\right) \cdot y5 \]

      4. *-commutative 28.2%

         \[\leadsto \left(\left(-y\right) \cdot \left(y3 \cdot a - \color{blue}{i \cdot k}\right)\right) \cdot y5 \]

   9. Simplified 28.2%

      \[\leadsto \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot a - i \cdot k\right)\right)} \cdot y5 \]

   10. Taylor expanded in i around inf 25.1%

       \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5\right)\right)} \]

   if 4.8999999999999999e86 < a

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 31.6%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 31.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 47.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]

   8. Taylor expanded in a around inf 37.0%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto y \cdot \color{blue}{\left(\left(a \cdot b\right) \cdot x\right)} \]

      2. *-commutative 37.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(b \cdot a\right)} \cdot x\right) \]

      3. associate-*l* 41.2%

         \[\leadsto y \cdot \color{blue}{\left(b \cdot \left(a \cdot x\right)\right)} \]

   10. Simplified 41.2%

       \[\leadsto \color{blue}{y \cdot \left(b \cdot \left(a \cdot x\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 28.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.65 \cdot 10^{-225}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 4.9 \cdot 10^{+86}:\\ \;\;\;\;k \cdot \left(i \cdot \left(y \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(b \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 43: 17.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* t (* y2 y5))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (t * (y2 * y5));
}

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 * (t * (y2 * y5))
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 * (t * (y2 * y5));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (t * (y2 * y5))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(t * Float64(y2 * y5)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (t * (y2 * y5));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 29.0%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

3. Simplified 35.6%

   \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(y3, -j, k \cdot y2\right), y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot y2 - y \cdot y3, a \cdot y5 - c \cdot y4, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \mathsf{fma}\left(t \cdot j - y \cdot k, \mathsf{fma}\left(b, y4, y5 \cdot \left(-i\right)\right), \mathsf{fma}\left(\mathsf{fma}\left(x, y, z \cdot \left(-t\right)\right), a \cdot b - c \cdot i, \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\right)\right)\right)} \]

4. Taylor expanded in y5 around inf 33.4%

   \[\leadsto \color{blue}{\left(-1 \cdot \left(i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5} \]
5. Step-by-step derivation

   1. mul-1-neg 33.4%

      \[\leadsto \left(\color{blue}{\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right)} + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + -1 \cdot \left(y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)\right)\right) \cdot y5 \]

   2. mul-1-neg 33.4%

      \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \color{blue}{\left(-y0 \cdot \left(k \cdot y2 + -1 \cdot \left(y3 \cdot j\right)\right)\right)}\right)\right) \cdot y5 \]

   3. mul-1-neg 33.4%

      \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \left(k \cdot y2 + \color{blue}{\left(-y3 \cdot j\right)}\right)\right)\right)\right) \cdot y5 \]

   4. sub-neg 33.4%

      \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(-y0 \cdot \color{blue}{\left(k \cdot y2 - y3 \cdot j\right)}\right)\right)\right) \cdot y5 \]

   5. sub-neg 33.4%

      \[\leadsto \left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)}\right) \cdot y5 \]

6. Simplified 33.4%

   \[\leadsto \color{blue}{\left(\left(-i \cdot \left(t \cdot j - k \cdot y\right)\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right) \cdot y5} \]

7. Taylor expanded in t around inf 25.0%

   \[\leadsto \color{blue}{t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]
8. Step-by-step derivation

   1. associate-*r* 23.5%

      \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(a \cdot y2 - i \cdot j\right)} \]

   2. *-commutative 23.5%

      \[\leadsto \left(t \cdot y5\right) \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right) \]

9. Simplified 23.5%

   \[\leadsto \color{blue}{\left(t \cdot y5\right) \cdot \left(y2 \cdot a - i \cdot j\right)} \]

10. Taylor expanded in y2 around inf 15.8%

    \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

11. Final simplification 15.8%

    \[\leadsto a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \]

Developer target: 28.0% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023238 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))