Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.2% → 35.9%

Time: 1.4min

Alternatives: 34

Speedup: 4.5×

• 88.7% 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: 30.2% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 35.9% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := 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)\\ t_2 := y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\\ t_3 := y1 \cdot y4 - y0 \cdot y5\\ t_4 := c \cdot y0 - a \cdot y1\\ t_5 := t \cdot \left(a \cdot y5 - c \cdot y4\right)\\ t_6 := k \cdot t_3\\ t_7 := b \cdot y0 - i \cdot y1\\ t_8 := i \cdot y5 - b \cdot y4\\ t_9 := a \cdot b - c \cdot i\\ t_10 := x \cdot t_9\\ t_11 := z \cdot \left(k \cdot t_7 + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{if}\;c \leq -6.6 \cdot 10^{+187}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.9 \cdot 10^{+52}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{-18}:\\ \;\;\;\;y2 \cdot \left(\left(t_6 - y1 \cdot \left(x \cdot a\right)\right) + t_5\right)\\ \mathbf{elif}\;c \leq -9.5 \cdot 10^{-96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.15 \cdot 10^{-193}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot t_3 + \left(y \cdot t_10 + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot t_4 + \left(k \cdot \left(y \cdot t_8\right) + \left(y \cdot t_2 - t_7 \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\right)\right)\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-268}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-301}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_9 + y2 \cdot t_4\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{-133}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-17}:\\ \;\;\;\;y \cdot \left(k \cdot t_8 + \left(t_10 + t_2\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{+140}:\\ \;\;\;\;t_11\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(t_6 + x \cdot t_4\right) + 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
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_2 (* y3 (- (* c y4) (* a y5))))
        (t_3 (- (* y1 y4) (* y0 y5)))
        (t_4 (- (* c y0) (* a y1)))
        (t_5 (* t (- (* a y5) (* c y4))))
        (t_6 (* k t_3))
        (t_7 (- (* b y0) (* i y1)))
        (t_8 (- (* i y5) (* b y4)))
        (t_9 (- (* a b) (* c i)))
        (t_10 (* x t_9))
        (t_11
         (*
          z
          (+
           (* k t_7)
           (+ (* y3 (- (* a y1) (* c y0))) (* t (- (* c i) (* a b))))))))
   (if (<= c -6.6e+187)
     (* c (* y4 (- (* y y3) (* t y2))))
     (if (<= c -4.6e+81)
       t_1
       (if (<= c -3.9e+52)
         (* (* y b) (- (* x a) (* k y4)))
         (if (<= c -2.5e-18)
           (* y2 (+ (- t_6 (* y1 (* x a))) t_5))
           (if (<= c -9.5e-96)
             t_1
             (if (<= c -2.15e-193)
               (+
                (* (- (* k y2) (* j y3)) t_3)
                (+
                 (* y t_10)
                 (+
                  (* (- (* x y2) (* z y3)) t_4)
                  (+
                   (* k (* y t_8))
                   (- (* y t_2) (* t_7 (- (* x j) (* z k))))))))
               (if (<= c -1.7e-268)
                 (* y1 (* z (- (* a y3) (* i k))))
                 (if (<= c 4.4e-301)
                   (*
                    x
                    (+ (+ (* y t_9) (* y2 t_4)) (* j (- (* i y1) (* b y0)))))
                   (if (<= c 1.15e-133)
                     t_11
                     (if (<= c 2.35e-17)
                       (* y (+ (* k t_8) (+ t_10 t_2)))
                       (if (<= c 3.2e+140)
                         t_11
                         (* y2 (+ (+ t_6 (* x t_4)) 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 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_2 = y3 * ((c * y4) - (a * y5));
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = (c * y0) - (a * y1);
	double t_5 = t * ((a * y5) - (c * y4));
	double t_6 = k * t_3;
	double t_7 = (b * y0) - (i * y1);
	double t_8 = (i * y5) - (b * y4);
	double t_9 = (a * b) - (c * i);
	double t_10 = x * t_9;
	double t_11 = z * ((k * t_7) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))));
	double tmp;
	if (c <= -6.6e+187) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (c <= -4.6e+81) {
		tmp = t_1;
	} else if (c <= -3.9e+52) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (c <= -2.5e-18) {
		tmp = y2 * ((t_6 - (y1 * (x * a))) + t_5);
	} else if (c <= -9.5e-96) {
		tmp = t_1;
	} else if (c <= -2.15e-193) {
		tmp = (((k * y2) - (j * y3)) * t_3) + ((y * t_10) + ((((x * y2) - (z * y3)) * t_4) + ((k * (y * t_8)) + ((y * t_2) - (t_7 * ((x * j) - (z * k)))))));
	} else if (c <= -1.7e-268) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (c <= 4.4e-301) {
		tmp = x * (((y * t_9) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 1.15e-133) {
		tmp = t_11;
	} else if (c <= 2.35e-17) {
		tmp = y * ((k * t_8) + (t_10 + t_2));
	} else if (c <= 3.2e+140) {
		tmp = t_11;
	} else {
		tmp = y2 * ((t_6 + (x * t_4)) + 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_10
    real(8) :: t_11
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_2 = y3 * ((c * y4) - (a * y5))
    t_3 = (y1 * y4) - (y0 * y5)
    t_4 = (c * y0) - (a * y1)
    t_5 = t * ((a * y5) - (c * y4))
    t_6 = k * t_3
    t_7 = (b * y0) - (i * y1)
    t_8 = (i * y5) - (b * y4)
    t_9 = (a * b) - (c * i)
    t_10 = x * t_9
    t_11 = z * ((k * t_7) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))))
    if (c <= (-6.6d+187)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (c <= (-4.6d+81)) then
        tmp = t_1
    else if (c <= (-3.9d+52)) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (c <= (-2.5d-18)) then
        tmp = y2 * ((t_6 - (y1 * (x * a))) + t_5)
    else if (c <= (-9.5d-96)) then
        tmp = t_1
    else if (c <= (-2.15d-193)) then
        tmp = (((k * y2) - (j * y3)) * t_3) + ((y * t_10) + ((((x * y2) - (z * y3)) * t_4) + ((k * (y * t_8)) + ((y * t_2) - (t_7 * ((x * j) - (z * k)))))))
    else if (c <= (-1.7d-268)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (c <= 4.4d-301) then
        tmp = x * (((y * t_9) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
    else if (c <= 1.15d-133) then
        tmp = t_11
    else if (c <= 2.35d-17) then
        tmp = y * ((k * t_8) + (t_10 + t_2))
    else if (c <= 3.2d+140) then
        tmp = t_11
    else
        tmp = y2 * ((t_6 + (x * t_4)) + 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 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_2 = y3 * ((c * y4) - (a * y5));
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = (c * y0) - (a * y1);
	double t_5 = t * ((a * y5) - (c * y4));
	double t_6 = k * t_3;
	double t_7 = (b * y0) - (i * y1);
	double t_8 = (i * y5) - (b * y4);
	double t_9 = (a * b) - (c * i);
	double t_10 = x * t_9;
	double t_11 = z * ((k * t_7) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))));
	double tmp;
	if (c <= -6.6e+187) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (c <= -4.6e+81) {
		tmp = t_1;
	} else if (c <= -3.9e+52) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (c <= -2.5e-18) {
		tmp = y2 * ((t_6 - (y1 * (x * a))) + t_5);
	} else if (c <= -9.5e-96) {
		tmp = t_1;
	} else if (c <= -2.15e-193) {
		tmp = (((k * y2) - (j * y3)) * t_3) + ((y * t_10) + ((((x * y2) - (z * y3)) * t_4) + ((k * (y * t_8)) + ((y * t_2) - (t_7 * ((x * j) - (z * k)))))));
	} else if (c <= -1.7e-268) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (c <= 4.4e-301) {
		tmp = x * (((y * t_9) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 1.15e-133) {
		tmp = t_11;
	} else if (c <= 2.35e-17) {
		tmp = y * ((k * t_8) + (t_10 + t_2));
	} else if (c <= 3.2e+140) {
		tmp = t_11;
	} else {
		tmp = y2 * ((t_6 + (x * t_4)) + 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 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_2 = y3 * ((c * y4) - (a * y5))
	t_3 = (y1 * y4) - (y0 * y5)
	t_4 = (c * y0) - (a * y1)
	t_5 = t * ((a * y5) - (c * y4))
	t_6 = k * t_3
	t_7 = (b * y0) - (i * y1)
	t_8 = (i * y5) - (b * y4)
	t_9 = (a * b) - (c * i)
	t_10 = x * t_9
	t_11 = z * ((k * t_7) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))))
	tmp = 0
	if c <= -6.6e+187:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif c <= -4.6e+81:
		tmp = t_1
	elif c <= -3.9e+52:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif c <= -2.5e-18:
		tmp = y2 * ((t_6 - (y1 * (x * a))) + t_5)
	elif c <= -9.5e-96:
		tmp = t_1
	elif c <= -2.15e-193:
		tmp = (((k * y2) - (j * y3)) * t_3) + ((y * t_10) + ((((x * y2) - (z * y3)) * t_4) + ((k * (y * t_8)) + ((y * t_2) - (t_7 * ((x * j) - (z * k)))))))
	elif c <= -1.7e-268:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif c <= 4.4e-301:
		tmp = x * (((y * t_9) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
	elif c <= 1.15e-133:
		tmp = t_11
	elif c <= 2.35e-17:
		tmp = y * ((k * t_8) + (t_10 + t_2))
	elif c <= 3.2e+140:
		tmp = t_11
	else:
		tmp = y2 * ((t_6 + (x * t_4)) + 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(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)))))
	t_2 = Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))
	t_3 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	t_5 = Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))
	t_6 = Float64(k * t_3)
	t_7 = Float64(Float64(b * y0) - Float64(i * y1))
	t_8 = Float64(Float64(i * y5) - Float64(b * y4))
	t_9 = Float64(Float64(a * b) - Float64(c * i))
	t_10 = Float64(x * t_9)
	t_11 = Float64(z * Float64(Float64(k * t_7) + Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(t * Float64(Float64(c * i) - Float64(a * b))))))
	tmp = 0.0
	if (c <= -6.6e+187)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (c <= -4.6e+81)
		tmp = t_1;
	elseif (c <= -3.9e+52)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (c <= -2.5e-18)
		tmp = Float64(y2 * Float64(Float64(t_6 - Float64(y1 * Float64(x * a))) + t_5));
	elseif (c <= -9.5e-96)
		tmp = t_1;
	elseif (c <= -2.15e-193)
		tmp = Float64(Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_3) + Float64(Float64(y * t_10) + Float64(Float64(Float64(Float64(x * y2) - Float64(z * y3)) * t_4) + Float64(Float64(k * Float64(y * t_8)) + Float64(Float64(y * t_2) - Float64(t_7 * Float64(Float64(x * j) - Float64(z * k))))))));
	elseif (c <= -1.7e-268)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (c <= 4.4e-301)
		tmp = Float64(x * Float64(Float64(Float64(y * t_9) + Float64(y2 * t_4)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (c <= 1.15e-133)
		tmp = t_11;
	elseif (c <= 2.35e-17)
		tmp = Float64(y * Float64(Float64(k * t_8) + Float64(t_10 + t_2)));
	elseif (c <= 3.2e+140)
		tmp = t_11;
	else
		tmp = Float64(y2 * Float64(Float64(t_6 + Float64(x * t_4)) + 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 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_2 = y3 * ((c * y4) - (a * y5));
	t_3 = (y1 * y4) - (y0 * y5);
	t_4 = (c * y0) - (a * y1);
	t_5 = t * ((a * y5) - (c * y4));
	t_6 = k * t_3;
	t_7 = (b * y0) - (i * y1);
	t_8 = (i * y5) - (b * y4);
	t_9 = (a * b) - (c * i);
	t_10 = x * t_9;
	t_11 = z * ((k * t_7) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))));
	tmp = 0.0;
	if (c <= -6.6e+187)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (c <= -4.6e+81)
		tmp = t_1;
	elseif (c <= -3.9e+52)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (c <= -2.5e-18)
		tmp = y2 * ((t_6 - (y1 * (x * a))) + t_5);
	elseif (c <= -9.5e-96)
		tmp = t_1;
	elseif (c <= -2.15e-193)
		tmp = (((k * y2) - (j * y3)) * t_3) + ((y * t_10) + ((((x * y2) - (z * y3)) * t_4) + ((k * (y * t_8)) + ((y * t_2) - (t_7 * ((x * j) - (z * k)))))));
	elseif (c <= -1.7e-268)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (c <= 4.4e-301)
		tmp = x * (((y * t_9) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	elseif (c <= 1.15e-133)
		tmp = t_11;
	elseif (c <= 2.35e-17)
		tmp = y * ((k * t_8) + (t_10 + t_2));
	elseif (c <= 3.2e+140)
		tmp = t_11;
	else
		tmp = y2 * ((t_6 + (x * t_4)) + 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[(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]}, Block[{t$95$2 = N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(k * t$95$3), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(x * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(z * N[(N[(k * t$95$7), $MachinePrecision] + N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -6.6e+187], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4.6e+81], t$95$1, If[LessEqual[c, -3.9e+52], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -2.5e-18], N[(y2 * N[(N[(t$95$6 - N[(y1 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -9.5e-96], t$95$1, If[LessEqual[c, -2.15e-193], N[(N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$3), $MachinePrecision] + N[(N[(y * t$95$10), $MachinePrecision] + N[(N[(N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision] + N[(N[(k * N[(y * t$95$8), $MachinePrecision]), $MachinePrecision] + N[(N[(y * t$95$2), $MachinePrecision] - N[(t$95$7 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.7e-268], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4.4e-301], N[(x * N[(N[(N[(y * t$95$9), $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[c, 1.15e-133], t$95$11, If[LessEqual[c, 2.35e-17], N[(y * N[(N[(k * t$95$8), $MachinePrecision] + N[(t$95$10 + t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.2e+140], t$95$11, N[(y2 * N[(N[(t$95$6 + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if c < -6.6000000000000003e187

   1. Initial program 19.4%

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

   3. Simplified 19.4%

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

   4. Taylor expanded in y4 around inf 66.7%

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

   5. Taylor expanded in c around inf 72.5%

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

   if -6.6000000000000003e187 < c < -4.5999999999999998e81 or -2.50000000000000018e-18 < c < -9.4999999999999993e-96

   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 b around inf 61.9%

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

   if -4.5999999999999998e81 < c < -3.9e52

   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 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 63.4%

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

      1. mul-1-neg 63.4%

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

      2. *-commutative 63.4%

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

      3. *-commutative 63.4%

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

      4. *-commutative 63.4%

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

      5. *-commutative 63.4%

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

   6. Simplified 63.4%

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

   7. Taylor expanded in b around inf 52.5%

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

      1. associate-*r* 64.5%

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

      2. *-commutative 64.5%

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

      3. *-commutative 64.5%

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

   9. Simplified 64.5%

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

   if -3.9e52 < c < -2.50000000000000018e-18

   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 y2 around inf 37.6%

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

   5. Taylor expanded in c around 0 50.1%

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

   if -9.4999999999999993e-96 < c < -2.1500000000000001e-193

   1. Initial program 76.5%

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

   3. Simplified 76.5%

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

   4. Taylor expanded in t around 0 76.5%

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

   if -2.1500000000000001e-193 < c < -1.7e-268

   1. Initial program 12.0%

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

   3. Simplified 12.0%

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

   4. Taylor expanded in z around -inf 30.0%

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

   5. Taylor expanded in y1 around inf 59.8%

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

      1. *-commutative 59.8%

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

      2. associate-*l* 65.3%

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

      3. cancel-sign-sub-inv 65.3%

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

      4. metadata-eval 65.3%

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

      5. *-lft-identity 65.3%

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

      6. +-commutative 65.3%

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

      7. mul-1-neg 65.3%

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

      8. unsub-neg 65.3%

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

   7. Simplified 65.3%

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

   if -1.7e-268 < c < 4.4e-301

   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 x around inf 70.8%

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

   if 4.4e-301 < c < 1.15e-133 or 2.35e-17 < c < 3.20000000000000011e140

   1. Initial program 30.6%

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

   3. Simplified 30.6%

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

   4. Taylor expanded in z around -inf 61.7%

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

   if 1.15e-133 < c < 2.35e-17

   1. Initial program 26.9%

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

   3. Simplified 30.7%

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

   4. Taylor expanded in y around inf 65.7%

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

      1. mul-1-neg 65.7%

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

      2. *-commutative 65.7%

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

      3. *-commutative 65.7%

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

      4. *-commutative 65.7%

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

      5. *-commutative 65.7%

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

   6. Simplified 65.7%

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

   if 3.20000000000000011e140 < c

   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 y2 around inf 64.0%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]
3. Recombined 10 regimes into one program.

4. Final simplification 64.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -6.6 \cdot 10^{+187}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{+81}:\\ \;\;\;\;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}\;c \leq -3.9 \cdot 10^{+52}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{-18}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq -9.5 \cdot 10^{-96}:\\ \;\;\;\;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}\;c \leq -2.15 \cdot 10^{-193}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + \left(y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\right)\right)\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-268}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-301}:\\ \;\;\;\;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}\;c \leq 1.15 \cdot 10^{-133}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-17}:\\ \;\;\;\;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}\;c \leq 3.2 \cdot 10^{+140}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\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 2: 53.5% accurate, 0.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ t_4 := a \cdot b - c \cdot i\\ t_5 := y1 \cdot y4 - y0 \cdot y5\\ t_6 := t_4 \cdot \left(x \cdot y - z \cdot t\right)\\ t_7 := c \cdot y0 - a \cdot y1\\ t_8 := b \cdot y4 - i \cdot y5\\ t_9 := k \cdot y2 - j \cdot y3\\ \mathbf{if}\;\left(\left(\left(\left(t_6 + \left(b \cdot y0 - i \cdot y1\right) \cdot \left(z \cdot k - x \cdot j\right)\right) + t_2 \cdot t_7\right) + t_8 \cdot t_1\right) + t_3\right) + t_9 \cdot t_5 \leq \infty:\\ \;\;\;\;\mathsf{fma}\left(t_9, t_5, \mathsf{fma}\left(t_1, t_8, \mathsf{fma}\left(t_2, t_7, t_6 + \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right) + t_3\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot t_4 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
        (t_4 (- (* a b) (* c i)))
        (t_5 (- (* y1 y4) (* y0 y5)))
        (t_6 (* t_4 (- (* x y) (* z t))))
        (t_7 (- (* c y0) (* a y1)))
        (t_8 (- (* b y4) (* i y5)))
        (t_9 (- (* k y2) (* j y3))))
   (if (<=
        (+
         (+
          (+
           (+
            (+ t_6 (* (- (* b y0) (* i y1)) (- (* z k) (* x j))))
            (* t_2 t_7))
           (* t_8 t_1))
          t_3)
         (* t_9 t_5))
        INFINITY)
     (fma
      t_9
      t_5
      (+
       (fma
        t_1
        t_8
        (fma t_2 t_7 (+ t_6 (* (fma x j (* z (- k))) (- (* i y1) (* b y0))))))
       t_3))
     (*
      y
      (+
       (* k (- (* i y5) (* b y4)))
       (+ (* x t_4) (* y3 (- (* c y4) (* a y5)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = ((t * y2) - (y * y3)) * ((a * y5) - (c * y4));
	double t_4 = (a * b) - (c * i);
	double t_5 = (y1 * y4) - (y0 * y5);
	double t_6 = t_4 * ((x * y) - (z * t));
	double t_7 = (c * y0) - (a * y1);
	double t_8 = (b * y4) - (i * y5);
	double t_9 = (k * y2) - (j * y3);
	double tmp;
	if ((((((t_6 + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (t_2 * t_7)) + (t_8 * t_1)) + t_3) + (t_9 * t_5)) <= ((double) INFINITY)) {
		tmp = fma(t_9, t_5, (fma(t_1, t_8, fma(t_2, t_7, (t_6 + (fma(x, j, (z * -k)) * ((i * y1) - (b * y0)))))) + t_3));
	} else {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_4) + (y3 * ((c * y4) - (a * y5)))));
	}
	return tmp;
}

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))
	t_4 = Float64(Float64(a * b) - Float64(c * i))
	t_5 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_6 = Float64(t_4 * Float64(Float64(x * y) - Float64(z * t)))
	t_7 = Float64(Float64(c * y0) - Float64(a * y1))
	t_8 = Float64(Float64(b * y4) - Float64(i * y5))
	t_9 = Float64(Float64(k * y2) - Float64(j * y3))
	tmp = 0.0
	if (Float64(Float64(Float64(Float64(Float64(t_6 + Float64(Float64(Float64(b * y0) - Float64(i * y1)) * Float64(Float64(z * k) - Float64(x * j)))) + Float64(t_2 * t_7)) + Float64(t_8 * t_1)) + t_3) + Float64(t_9 * t_5)) <= Inf)
		tmp = fma(t_9, t_5, Float64(fma(t_1, t_8, fma(t_2, t_7, Float64(t_6 + Float64(fma(x, j, Float64(z * Float64(-k))) * Float64(Float64(i * y1) - Float64(b * y0)))))) + t_3));
	else
		tmp = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * t_4) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))));
	end
	return 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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(t$95$4 * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[N[(N[(N[(N[(N[(t$95$6 + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$2 * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision] + N[(t$95$9 * t$95$5), $MachinePrecision]), $MachinePrecision], Infinity], N[(t$95$9 * t$95$5 + N[(N[(t$95$1 * t$95$8 + N[(t$95$2 * t$95$7 + N[(t$95$6 + N[(N[(x * j + N[(z * (-k)), $MachinePrecision]), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], N[(y * N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x * t$95$4), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $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 91.8%

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

   3. Simplified 91.8%

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

   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 9.7%

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

   4. Taylor expanded in y around inf 39.2%

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

      1. mul-1-neg 39.2%

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

      2. *-commutative 39.2%

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

      3. *-commutative 39.2%

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

      4. *-commutative 39.2%

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

      5. *-commutative 39.2%

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

   6. Simplified 39.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 55.9%

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

Alternative 3: 53.5% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(N[(t$95$1 * 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] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision] * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$2, Infinity], t$95$2, 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 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $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 91.8%

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

   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 9.7%

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

   4. Taylor expanded in y around inf 39.2%

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

      1. mul-1-neg 39.2%

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

      2. *-commutative 39.2%

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

      3. *-commutative 39.2%

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

      4. *-commutative 39.2%

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

      5. *-commutative 39.2%

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

   6. Simplified 39.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 55.9%

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

Alternative 4: 40.7% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_2\right)\\ t_4 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;y2 \leq -2.7 \cdot 10^{+149}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y2 \leq -3.5 \cdot 10^{+110}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y2 \leq -1.06 \cdot 10^{+27}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t_2\right)\right)\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-90}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -4 \cdot 10^{-186}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;y2 \leq -1.45 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-186}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y2 \leq 5.4 \cdot 10^{+80}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{+202} \lor \neg \left(y2 \leq 4.5 \cdot 10^{+241}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y5
          (-
           (* i (- (* y k) (* t j)))
           (+ (* y0 (- (* k y2) (* j y3))) (* a (- (* y y3) (* t y2)))))))
        (t_2 (- (* a y5) (* c y4)))
        (t_3
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t t_2))))
        (t_4
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= y2 -2.7e+149)
     t_3
     (if (<= y2 -3.5e+110)
       t_4
       (if (<= y2 -1.06e+27)
         (*
          t
          (+
           (* z (- (* c i) (* a b)))
           (+ (* j (- (* b y4) (* i y5))) (* y2 t_2))))
         (if (<= y2 -4.2e-90)
           t_1
           (if (<= y2 -4e-186)
             (* (* z y3) (- (* a y1) (* c y0)))
             (if (<= y2 -1.45e-263)
               t_1
               (if (<= y2 2.1e-186)
                 t_4
                 (if (<= y2 5.4e+80)
                   (*
                    y
                    (+
                     (* k (- (* i y5) (* b y4)))
                     (+
                      (* x (- (* a b) (* c i)))
                      (* y3 (- (* c y4) (* a y5))))))
                   (if (or (<= y2 1.3e+202) (not (<= y2 4.5e+241)))
                     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 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y2 <= -2.7e+149) {
		tmp = t_3;
	} else if (y2 <= -3.5e+110) {
		tmp = t_4;
	} else if (y2 <= -1.06e+27) {
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)));
	} else if (y2 <= -4.2e-90) {
		tmp = t_1;
	} else if (y2 <= -4e-186) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (y2 <= -1.45e-263) {
		tmp = t_1;
	} else if (y2 <= 2.1e-186) {
		tmp = t_4;
	} else if (y2 <= 5.4e+80) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	} else if ((y2 <= 1.3e+202) || !(y2 <= 4.5e+241)) {
		tmp = 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) :: tmp
    t_1 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))))
    t_2 = (a * y5) - (c * y4)
    t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    if (y2 <= (-2.7d+149)) then
        tmp = t_3
    else if (y2 <= (-3.5d+110)) then
        tmp = t_4
    else if (y2 <= (-1.06d+27)) then
        tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)))
    else if (y2 <= (-4.2d-90)) then
        tmp = t_1
    else if (y2 <= (-4d-186)) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    else if (y2 <= (-1.45d-263)) then
        tmp = t_1
    else if (y2 <= 2.1d-186) then
        tmp = t_4
    else if (y2 <= 5.4d+80) then
        tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    else if ((y2 <= 1.3d+202) .or. (.not. (y2 <= 4.5d+241))) then
        tmp = 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 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y2 <= -2.7e+149) {
		tmp = t_3;
	} else if (y2 <= -3.5e+110) {
		tmp = t_4;
	} else if (y2 <= -1.06e+27) {
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)));
	} else if (y2 <= -4.2e-90) {
		tmp = t_1;
	} else if (y2 <= -4e-186) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (y2 <= -1.45e-263) {
		tmp = t_1;
	} else if (y2 <= 2.1e-186) {
		tmp = t_4;
	} else if (y2 <= 5.4e+80) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	} else if ((y2 <= 1.3e+202) || !(y2 <= 4.5e+241)) {
		tmp = 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 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))))
	t_2 = (a * y5) - (c * y4)
	t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	tmp = 0
	if y2 <= -2.7e+149:
		tmp = t_3
	elif y2 <= -3.5e+110:
		tmp = t_4
	elif y2 <= -1.06e+27:
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)))
	elif y2 <= -4.2e-90:
		tmp = t_1
	elif y2 <= -4e-186:
		tmp = (z * y3) * ((a * y1) - (c * y0))
	elif y2 <= -1.45e-263:
		tmp = t_1
	elif y2 <= 2.1e-186:
		tmp = t_4
	elif y2 <= 5.4e+80:
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	elif (y2 <= 1.3e+202) or not (y2 <= 4.5e+241):
		tmp = 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(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) - Float64(Float64(y0 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(a * Float64(Float64(y * y3) - Float64(t * y2))))))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)))
	t_4 = 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)))))
	tmp = 0.0
	if (y2 <= -2.7e+149)
		tmp = t_3;
	elseif (y2 <= -3.5e+110)
		tmp = t_4;
	elseif (y2 <= -1.06e+27)
		tmp = 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))));
	elseif (y2 <= -4.2e-90)
		tmp = t_1;
	elseif (y2 <= -4e-186)
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	elseif (y2 <= -1.45e-263)
		tmp = t_1;
	elseif (y2 <= 2.1e-186)
		tmp = t_4;
	elseif (y2 <= 5.4e+80)
		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 ((y2 <= 1.3e+202) || !(y2 <= 4.5e+241))
		tmp = 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 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))));
	t_2 = (a * y5) - (c * y4);
	t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (y2 <= -2.7e+149)
		tmp = t_3;
	elseif (y2 <= -3.5e+110)
		tmp = t_4;
	elseif (y2 <= -1.06e+27)
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_2)));
	elseif (y2 <= -4.2e-90)
		tmp = t_1;
	elseif (y2 <= -4e-186)
		tmp = (z * y3) * ((a * y1) - (c * y0));
	elseif (y2 <= -1.45e-263)
		tmp = t_1;
	elseif (y2 <= 2.1e-186)
		tmp = t_4;
	elseif (y2 <= 5.4e+80)
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	elseif ((y2 <= 1.3e+202) || ~((y2 <= 4.5e+241)))
		tmp = 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[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y0 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $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 * 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[y2, -2.7e+149], t$95$3, If[LessEqual[y2, -3.5e+110], t$95$4, If[LessEqual[y2, -1.06e+27], 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], If[LessEqual[y2, -4.2e-90], t$95$1, If[LessEqual[y2, -4e-186], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.45e-263], t$95$1, If[LessEqual[y2, 2.1e-186], t$95$4, If[LessEqual[y2, 5.4e+80], 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[Or[LessEqual[y2, 1.3e+202], N[Not[LessEqual[y2, 4.5e+241]], $MachinePrecision]], t$95$3, t$95$4]]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -2.7000000000000001e149 or 5.39999999999999966e80 < y2 < 1.3000000000000001e202 or 4.49999999999999993e241 < y2

   1. Initial program 28.6%

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

   3. Simplified 28.6%

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

   4. Taylor expanded in y2 around inf 71.6%

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

   if -2.7000000000000001e149 < y2 < -3.4999999999999999e110 or -1.45000000000000002e-263 < y2 < 2.1000000000000002e-186 or 1.3000000000000001e202 < y2 < 4.49999999999999993e241

   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 25.8%

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

   4. Taylor expanded in b around inf 65.4%

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

   if -3.4999999999999999e110 < y2 < -1.05999999999999994e27

   1. Initial program 14.9%

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

   3. Simplified 14.9%

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

   4. Taylor expanded in t around inf 55.3%

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

      1. associate--l+ 55.3%

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

      2. *-commutative 55.3%

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

      3. mul-1-neg 55.3%

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

      4. *-commutative 55.3%

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

      5. *-commutative 55.3%

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

      6. *-commutative 55.3%

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

      7. *-commutative 55.3%

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

   6. Simplified 55.3%

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

   if -1.05999999999999994e27 < y2 < -4.1999999999999998e-90 or -3.9999999999999996e-186 < y2 < -1.45000000000000002e-263

   1. Initial program 29.5%

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

   3. Simplified 29.5%

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

   4. Taylor expanded in y5 around -inf 51.6%

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

      1. mul-1-neg 51.6%

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

      2. associate--l+ 51.6%

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

      3. *-commutative 51.6%

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

   6. Simplified 51.6%

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

   if -4.1999999999999998e-90 < y2 < -3.9999999999999996e-186

   1. Initial program 42.1%

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

   3. Simplified 42.1%

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

   4. Taylor expanded in z around -inf 52.6%

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

   5. Taylor expanded in y3 around inf 68.9%

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

   if 2.1000000000000002e-186 < y2 < 5.39999999999999966e80

   1. Initial program 33.7%

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

   3. Simplified 44.1%

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

   4. Taylor expanded in y around inf 59.2%

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

      1. mul-1-neg 59.2%

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

      2. *-commutative 59.2%

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

      3. *-commutative 59.2%

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

      4. *-commutative 59.2%

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

      5. *-commutative 59.2%

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

   6. Simplified 59.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 63.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.7 \cdot 10^{+149}:\\ \;\;\;\;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 -3.5 \cdot 10^{+110}:\\ \;\;\;\;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 -1.06 \cdot 10^{+27}:\\ \;\;\;\;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 -4.2 \cdot 10^{-90}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -4 \cdot 10^{-186}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;y2 \leq -1.45 \cdot 10^{-263}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{-186}:\\ \;\;\;\;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 5.4 \cdot 10^{+80}:\\ \;\;\;\;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}\;y2 \leq 1.3 \cdot 10^{+202} \lor \neg \left(y2 \leq 4.5 \cdot 10^{+241}\right):\\ \;\;\;\;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{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 5: 37.4% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\right)\\ t_2 := x \cdot y - z \cdot t\\ t_3 := y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{if}\;a \leq -1.1 \cdot 10^{+88}:\\ \;\;\;\;\left(a \cdot b\right) \cdot t_2\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-267}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-248}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-165}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot t_2 + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq 8.6 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{+159}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+249}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;a \leq 1.02 \cdot 10^{+271}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y0
          (+
           (* c (- (* x y2) (* z y3)))
           (+ (* y5 (- (* j y3) (* k y2))) (* b (- (* z k) (* x j)))))))
        (t_2 (- (* x y) (* z t)))
        (t_3
         (*
          y
          (+
           (* k (- (* i y5) (* b y4)))
           (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5))))))))
   (if (<= a -1.1e+88)
     (* (* a b) t_2)
     (if (<= a -8.5e-63)
       t_1
       (if (<= a -3.5e-267)
         t_3
         (if (<= a 1.9e-248)
           (*
            y2
            (+
             (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
             (* t (- (* a y5) (* c y4)))))
           (if (<= a 1.4e-165)
             (*
              i
              (-
               (* y1 (- (* x j) (* z k)))
               (+ (* c t_2) (* y5 (- (* t j) (* y k))))))
             (if (<= a 8.6e-58)
               t_1
               (if (<= a 3.3e+92)
                 t_3
                 (if (<= a 2.4e+159)
                   (*
                    y5
                    (-
                     (* i (- (* y k) (* t j)))
                     (+
                      (* y0 (- (* k y2) (* j y3)))
                      (* a (- (* y y3) (* t y2))))))
                   (if (<= a 2.6e+249)
                     (* (* y b) (- (* x a) (* k y4)))
                     (if (<= a 1.02e+271)
                       (*
                        z
                        (+
                         (* k (- (* b y0) (* i y1)))
                         (+
                          (* y3 (- (* a y1) (* c y0)))
                          (* t (- (* c i) (* a b))))))
                       (* y1 (* z (- (* a y3) (* i k))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))));
	double t_2 = (x * y) - (z * t);
	double t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double tmp;
	if (a <= -1.1e+88) {
		tmp = (a * b) * t_2;
	} else if (a <= -8.5e-63) {
		tmp = t_1;
	} else if (a <= -3.5e-267) {
		tmp = t_3;
	} else if (a <= 1.9e-248) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (a <= 1.4e-165) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_2) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= 8.6e-58) {
		tmp = t_1;
	} else if (a <= 3.3e+92) {
		tmp = t_3;
	} else if (a <= 2.4e+159) {
		tmp = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))));
	} else if (a <= 2.6e+249) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (a <= 1.02e+271) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))));
	} else {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))))
    t_2 = (x * y) - (z * t)
    t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    if (a <= (-1.1d+88)) then
        tmp = (a * b) * t_2
    else if (a <= (-8.5d-63)) then
        tmp = t_1
    else if (a <= (-3.5d-267)) then
        tmp = t_3
    else if (a <= 1.9d-248) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (a <= 1.4d-165) then
        tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_2) + (y5 * ((t * j) - (y * k)))))
    else if (a <= 8.6d-58) then
        tmp = t_1
    else if (a <= 3.3d+92) then
        tmp = t_3
    else if (a <= 2.4d+159) then
        tmp = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))))
    else if (a <= 2.6d+249) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (a <= 1.02d+271) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))))
    else
        tmp = y1 * (z * ((a * y3) - (i * k)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))));
	double t_2 = (x * y) - (z * t);
	double t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double tmp;
	if (a <= -1.1e+88) {
		tmp = (a * b) * t_2;
	} else if (a <= -8.5e-63) {
		tmp = t_1;
	} else if (a <= -3.5e-267) {
		tmp = t_3;
	} else if (a <= 1.9e-248) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (a <= 1.4e-165) {
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_2) + (y5 * ((t * j) - (y * k)))));
	} else if (a <= 8.6e-58) {
		tmp = t_1;
	} else if (a <= 3.3e+92) {
		tmp = t_3;
	} else if (a <= 2.4e+159) {
		tmp = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))));
	} else if (a <= 2.6e+249) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (a <= 1.02e+271) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))));
	} else {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))))
	t_2 = (x * y) - (z * t)
	t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	tmp = 0
	if a <= -1.1e+88:
		tmp = (a * b) * t_2
	elif a <= -8.5e-63:
		tmp = t_1
	elif a <= -3.5e-267:
		tmp = t_3
	elif a <= 1.9e-248:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif a <= 1.4e-165:
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_2) + (y5 * ((t * j) - (y * k)))))
	elif a <= 8.6e-58:
		tmp = t_1
	elif a <= 3.3e+92:
		tmp = t_3
	elif a <= 2.4e+159:
		tmp = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))))
	elif a <= 2.6e+249:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif a <= 1.02e+271:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))))
	else:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(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(z * k) - Float64(x * j))))))
	t_2 = Float64(Float64(x * y) - Float64(z * t))
	t_3 = 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 (a <= -1.1e+88)
		tmp = Float64(Float64(a * b) * t_2);
	elseif (a <= -8.5e-63)
		tmp = t_1;
	elseif (a <= -3.5e-267)
		tmp = t_3;
	elseif (a <= 1.9e-248)
		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 (a <= 1.4e-165)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(c * t_2) + Float64(y5 * Float64(Float64(t * j) - Float64(y * k))))));
	elseif (a <= 8.6e-58)
		tmp = t_1;
	elseif (a <= 3.3e+92)
		tmp = t_3;
	elseif (a <= 2.4e+159)
		tmp = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) - Float64(Float64(y0 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(a * Float64(Float64(y * y3) - Float64(t * y2))))));
	elseif (a <= 2.6e+249)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (a <= 1.02e+271)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	else
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))));
	t_2 = (x * y) - (z * t);
	t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	tmp = 0.0;
	if (a <= -1.1e+88)
		tmp = (a * b) * t_2;
	elseif (a <= -8.5e-63)
		tmp = t_1;
	elseif (a <= -3.5e-267)
		tmp = t_3;
	elseif (a <= 1.9e-248)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (a <= 1.4e-165)
		tmp = i * ((y1 * ((x * j) - (z * k))) - ((c * t_2) + (y5 * ((t * j) - (y * k)))));
	elseif (a <= 8.6e-58)
		tmp = t_1;
	elseif (a <= 3.3e+92)
		tmp = t_3;
	elseif (a <= 2.4e+159)
		tmp = y5 * ((i * ((y * k) - (t * j))) - ((y0 * ((k * y2) - (j * y3))) + (a * ((y * y3) - (t * y2)))));
	elseif (a <= 2.6e+249)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (a <= 1.02e+271)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))));
	else
		tmp = y1 * (z * ((a * y3) - (i * k)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = 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[a, -1.1e+88], N[(N[(a * b), $MachinePrecision] * t$95$2), $MachinePrecision], If[LessEqual[a, -8.5e-63], t$95$1, If[LessEqual[a, -3.5e-267], t$95$3, If[LessEqual[a, 1.9e-248], 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[a, 1.4e-165], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(c * t$95$2), $MachinePrecision] + N[(y5 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8.6e-58], t$95$1, If[LessEqual[a, 3.3e+92], t$95$3, If[LessEqual[a, 2.4e+159], N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y0 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.6e+249], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.02e+271], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -1.10000000000000004e88

   1. Initial program 24.5%

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

   3. Simplified 24.5%

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

   4. Taylor expanded in b around inf 41.1%

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

   5. Taylor expanded in a around inf 52.0%

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

      1. associate-*r* 53.9%

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

   7. Simplified 53.9%

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

   if -1.10000000000000004e88 < a < -8.49999999999999969e-63 or 1.4e-165 < a < 8.5999999999999999e-58

   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 44.2%

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

   4. Taylor expanded in y0 around inf 68.6%

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

      1. *-commutative 68.6%

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

      2. mul-1-neg 68.6%

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

      3. *-commutative 68.6%

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

      4. *-commutative 68.6%

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

   6. Simplified 68.6%

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

   if -8.49999999999999969e-63 < a < -3.4999999999999999e-267 or 8.5999999999999999e-58 < a < 3.29999999999999974e92

   1. Initial program 29.5%

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

   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 63.6%

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

      1. mul-1-neg 63.6%

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

      2. *-commutative 63.6%

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

      3. *-commutative 63.6%

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

      4. *-commutative 63.6%

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

      5. *-commutative 63.6%

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

   6. Simplified 63.6%

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

   if -3.4999999999999999e-267 < a < 1.8999999999999999e-248

   1. Initial program 43.4%

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

   3. Simplified 43.4%

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

   4. Taylor expanded in y2 around inf 48.8%

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

   if 1.8999999999999999e-248 < a < 1.4e-165

   1. Initial program 6.6%

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

   3. Simplified 6.6%

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

   4. Taylor expanded in i around -inf 62.7%

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

   if 3.29999999999999974e92 < a < 2.4e159

   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 y5 around -inf 65.0%

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

      1. mul-1-neg 65.0%

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

      2. associate--l+ 65.0%

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

      3. *-commutative 65.0%

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

   6. Simplified 65.0%

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

   if 2.4e159 < a < 2.60000000000000019e249

   1. Initial program 27.3%

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

   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 55.0%

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

      1. mul-1-neg 55.0%

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

      2. *-commutative 55.0%

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

      3. *-commutative 55.0%

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

      4. *-commutative 55.0%

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

      5. *-commutative 55.0%

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

   6. Simplified 55.0%

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

   7. Taylor expanded in b around inf 73.0%

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

      1. associate-*r* 73.0%

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

      2. *-commutative 73.0%

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

      3. *-commutative 73.0%

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

   9. Simplified 73.0%

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

   if 2.60000000000000019e249 < a < 1.02e271

   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 z around -inf 100.0%

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

   if 1.02e271 < a

   1. Initial program 43.8%

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

   3. Simplified 43.8%

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

   4. Taylor expanded in z around -inf 37.6%

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

   5. Taylor expanded in y1 around inf 56.5%

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

      1. *-commutative 56.5%

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

      2. associate-*l* 62.7%

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

      3. cancel-sign-sub-inv 62.7%

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

      4. metadata-eval 62.7%

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

      5. *-lft-identity 62.7%

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

      6. +-commutative 62.7%

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

      7. mul-1-neg 62.7%

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

      8. unsub-neg 62.7%

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

   7. Simplified 62.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(z \cdot \left(k \cdot i - a \cdot y3\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 62.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.1 \cdot 10^{+88}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-63}:\\ \;\;\;\;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(z \cdot k - x \cdot j\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-267}:\\ \;\;\;\;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}\;a \leq 1.9 \cdot 10^{-248}:\\ \;\;\;\;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}\;a \leq 1.4 \cdot 10^{-165}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) - \left(c \cdot \left(x \cdot y - z \cdot t\right) + y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;a \leq 8.6 \cdot 10^{-58}:\\ \;\;\;\;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(z \cdot k - x \cdot j\right)\right)\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{+92}:\\ \;\;\;\;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}\;a \leq 2.4 \cdot 10^{+159}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+249}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;a \leq 1.02 \cdot 10^{+271}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \end{array} \]

Alternative 6: 34.7% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ \mathbf{if}\;i \leq -5 \cdot 10^{+214}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;i \leq -8.6 \cdot 10^{+136}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;i \leq -5800:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -3.2 \cdot 10^{-146}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.18 \cdot 10^{-210}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{-306}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 4.5 \cdot 10^{-276}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 5.5 \cdot 10^{-240}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 1.45 \cdot 10^{+30}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k))))
   (if (<= i -5e+214)
     (* (* y k) (- (* i y5) (* b y4)))
     (if (<= i -8.6e+136)
       (* c (* y (- (* y3 y4) (* x i))))
       (if (<= i -5800.0)
         (* j (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4)))))
         (if (<= i -3.2e-146)
           (*
            x
            (+
             (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
             (* j (- (* i y1) (* b y0)))))
           (if (<= i -1.18e-210)
             (* (* z y3) (- (* a y1) (* c y0)))
             (if (<= i 3.5e-306)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= i 4.5e-276)
                 (*
                  y2
                  (+
                   (- (* k (- (* y1 y4) (* y0 y5))) (* y1 (* x a)))
                   (* t (- (* a y5) (* c y4)))))
                 (if (<= i 5.5e-240)
                   (* y4 (* t (- (* b j) (* c y2))))
                   (if (<= i 1.45e+30)
                     (*
                      y4
                      (+
                       (+ (* b t_1) (* y1 (- (* k y2) (* j y3))))
                       (* c (- (* y y3) (* t y2)))))
                     (*
                      b
                      (+
                       (+ (* a (- (* x y) (* z t))) (* y4 t_1))
                       (* y0 (- (* z k) (* x j))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double tmp;
	if (i <= -5e+214) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (i <= -8.6e+136) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (i <= -5800.0) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (i <= -3.2e-146) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (i <= -1.18e-210) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (i <= 3.5e-306) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (i <= 4.5e-276) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	} else if (i <= 5.5e-240) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (i <= 1.45e+30) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    if (i <= (-5d+214)) then
        tmp = (y * k) * ((i * y5) - (b * y4))
    else if (i <= (-8.6d+136)) then
        tmp = c * (y * ((y3 * y4) - (x * i)))
    else if (i <= (-5800.0d0)) then
        tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))))
    else if (i <= (-3.2d-146)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    else if (i <= (-1.18d-210)) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    else if (i <= 3.5d-306) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (i <= 4.5d-276) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))))
    else if (i <= 5.5d-240) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (i <= 1.45d+30) then
        tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double tmp;
	if (i <= -5e+214) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (i <= -8.6e+136) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (i <= -5800.0) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (i <= -3.2e-146) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (i <= -1.18e-210) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (i <= 3.5e-306) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (i <= 4.5e-276) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	} else if (i <= 5.5e-240) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (i <= 1.45e+30) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	tmp = 0
	if i <= -5e+214:
		tmp = (y * k) * ((i * y5) - (b * y4))
	elif i <= -8.6e+136:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	elif i <= -5800.0:
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))))
	elif i <= -3.2e-146:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	elif i <= -1.18e-210:
		tmp = (z * y3) * ((a * y1) - (c * y0))
	elif i <= 3.5e-306:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif i <= 4.5e-276:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))))
	elif i <= 5.5e-240:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif i <= 1.45e+30:
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	else:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (i <= -5e+214)
		tmp = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)));
	elseif (i <= -8.6e+136)
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	elseif (i <= -5800.0)
		tmp = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))));
	elseif (i <= -3.2e-146)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (i <= -1.18e-210)
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	elseif (i <= 3.5e-306)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (i <= 4.5e-276)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) - Float64(y1 * Float64(x * a))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (i <= 5.5e-240)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (i <= 1.45e+30)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	else
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	tmp = 0.0;
	if (i <= -5e+214)
		tmp = (y * k) * ((i * y5) - (b * y4));
	elseif (i <= -8.6e+136)
		tmp = c * (y * ((y3 * y4) - (x * i)));
	elseif (i <= -5800.0)
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))));
	elseif (i <= -3.2e-146)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	elseif (i <= -1.18e-210)
		tmp = (z * y3) * ((a * y1) - (c * y0));
	elseif (i <= 3.5e-306)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (i <= 4.5e-276)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	elseif (i <= 5.5e-240)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (i <= 1.45e+30)
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	else
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -5e+214], N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -8.6e+136], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -5800.0], N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3.2e-146], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.18e-210], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.5e-306], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 4.5e-276], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y1 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 5.5e-240], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.45e+30], N[(y4 * N[(N[(N[(b * t$95$1), $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], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if i < -4.99999999999999953e214

   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%

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

   4. Taylor expanded in y around inf 63.6%

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

      1. mul-1-neg 63.6%

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

      2. *-commutative 63.6%

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

      3. *-commutative 63.6%

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

      4. *-commutative 63.6%

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

      5. *-commutative 63.6%

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

   6. Simplified 63.6%

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

   7. Taylor expanded in k around inf 73.0%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 77.3%

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

      2. *-commutative 77.3%

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

   9. Simplified 77.3%

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

   if -4.99999999999999953e214 < i < -8.5999999999999997e136

   1. Initial program 36.4%

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

   3. Simplified 45.5%

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

   4. Taylor expanded in y around inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. *-commutative 65.3%

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

      4. *-commutative 65.3%

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

      5. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   7. Taylor expanded in c around -inf 64.4%

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

      1. associate-*r* 64.4%

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

      2. neg-mul-1 64.4%

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

      3. mul-1-neg 64.4%

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

      4. unsub-neg 64.4%

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

      5. *-commutative 64.4%

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

   9. Simplified 64.4%

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

   if -8.5999999999999997e136 < i < -5800

   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 27.6%

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

   4. Taylor expanded in j around inf 59.1%

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

   5. Taylor expanded in x around 0 55.8%

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

      1. *-commutative 55.8%

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

      2. +-commutative 55.8%

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

      3. mul-1-neg 55.8%

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

      4. *-commutative 55.8%

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

      5. unsub-neg 55.8%

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

      6. *-commutative 55.8%

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

   7. Simplified 55.8%

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

   if -5800 < i < -3.1999999999999999e-146

   1. Initial program 30.5%

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

   3. Simplified 30.5%

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

   4. Taylor expanded in x around inf 55.4%

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

   if -3.1999999999999999e-146 < i < -1.18e-210

   1. Initial program 43.1%

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

   3. Simplified 43.1%

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

   4. Taylor expanded in z around -inf 36.7%

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

   5. Taylor expanded in y3 around inf 44.0%

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

   if -1.18e-210 < i < 3.50000000000000018e-306

   1. Initial program 35.3%

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

   3. Simplified 44.0%

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

   4. Taylor expanded in y0 around inf 61.1%

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

      1. *-commutative 61.1%

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

      2. mul-1-neg 61.1%

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

      3. *-commutative 61.1%

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

      4. *-commutative 61.1%

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

   6. Simplified 61.1%

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

   7. Taylor expanded in c around inf 66.1%

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

   if 3.50000000000000018e-306 < i < 4.49999999999999962e-276

   1. Initial program 57.1%

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

   3. Simplified 57.1%

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

   4. Taylor expanded in y2 around inf 85.7%

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

   5. Taylor expanded in c around 0 85.7%

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

   if 4.49999999999999962e-276 < i < 5.49999999999999957e-240

   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 y4 around inf 20.1%

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

   5. Taylor expanded in t around inf 70.0%

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

   if 5.49999999999999957e-240 < i < 1.4499999999999999e30

   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 y4 around inf 58.9%

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

   if 1.4499999999999999e30 < i

   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 20.6%

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

   4. Taylor expanded in b around inf 45.2%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]
3. Recombined 10 regimes into one program.

4. Final simplification 58.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -5 \cdot 10^{+214}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;i \leq -8.6 \cdot 10^{+136}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;i \leq -5800:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -3.2 \cdot 10^{-146}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.18 \cdot 10^{-210}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{-306}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 4.5 \cdot 10^{-276}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 5.5 \cdot 10^{-240}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 1.45 \cdot 10^{+30}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 7: 38.5% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;b \leq -6.5 \cdot 10^{-24}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-133}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -8.8 \cdot 10^{-183}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-259}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.15 \cdot 10^{-108}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{-10}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 5.1 \cdot 10^{+73}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{+116}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 4.1 \cdot 10^{+214}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_2 (- (* c y0) (* a y1)))
        (t_3
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_2))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= b -6.5e-24)
     t_1
     (if (<= b -2.2e-133)
       (* y4 (* y1 (- (* k y2) (* j y3))))
       (if (<= b -8.8e-183)
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 t_2))
           (* j (- (* i y1) (* b y0)))))
         (if (<= b -7.5e-259)
           (* c (* y4 (- (* y y3) (* t y2))))
           (if (<= b 2.15e-108)
             t_3
             (if (<= b 2.2e-10)
               t_1
               (if (<= b 5.1e+73)
                 (* y0 (* y5 (- (* j y3) (* k y2))))
                 (if (<= b 2.1e+116)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (if (<= b 4.1e+214) t_3 t_1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (b <= -6.5e-24) {
		tmp = t_1;
	} else if (b <= -2.2e-133) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (b <= -8.8e-183) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (b <= -7.5e-259) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (b <= 2.15e-108) {
		tmp = t_3;
	} else if (b <= 2.2e-10) {
		tmp = t_1;
	} else if (b <= 5.1e+73) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= 2.1e+116) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 4.1e+214) {
		tmp = t_3;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_2 = (c * y0) - (a * y1)
    t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    if (b <= (-6.5d-24)) then
        tmp = t_1
    else if (b <= (-2.2d-133)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (b <= (-8.8d-183)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
    else if (b <= (-7.5d-259)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (b <= 2.15d-108) then
        tmp = t_3
    else if (b <= 2.2d-10) then
        tmp = t_1
    else if (b <= 5.1d+73) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (b <= 2.1d+116) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= 4.1d+214) then
        tmp = t_3
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (b <= -6.5e-24) {
		tmp = t_1;
	} else if (b <= -2.2e-133) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (b <= -8.8e-183) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (b <= -7.5e-259) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (b <= 2.15e-108) {
		tmp = t_3;
	} else if (b <= 2.2e-10) {
		tmp = t_1;
	} else if (b <= 5.1e+73) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= 2.1e+116) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 4.1e+214) {
		tmp = t_3;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_2 = (c * y0) - (a * y1)
	t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if b <= -6.5e-24:
		tmp = t_1
	elif b <= -2.2e-133:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif b <= -8.8e-183:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
	elif b <= -7.5e-259:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif b <= 2.15e-108:
		tmp = t_3
	elif b <= 2.2e-10:
		tmp = t_1
	elif b <= 5.1e+73:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif b <= 2.1e+116:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= 4.1e+214:
		tmp = t_3
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(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)))))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (b <= -6.5e-24)
		tmp = t_1;
	elseif (b <= -2.2e-133)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (b <= -8.8e-183)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (b <= -7.5e-259)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (b <= 2.15e-108)
		tmp = t_3;
	elseif (b <= 2.2e-10)
		tmp = t_1;
	elseif (b <= 5.1e+73)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (b <= 2.1e+116)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= 4.1e+214)
		tmp = t_3;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_2 = (c * y0) - (a * y1);
	t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (b <= -6.5e-24)
		tmp = t_1;
	elseif (b <= -2.2e-133)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (b <= -8.8e-183)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	elseif (b <= -7.5e-259)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (b <= 2.15e-108)
		tmp = t_3;
	elseif (b <= 2.2e-10)
		tmp = t_1;
	elseif (b <= 5.1e+73)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (b <= 2.1e+116)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= 4.1e+214)
		tmp = t_3;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(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]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -6.5e-24], t$95$1, If[LessEqual[b, -2.2e-133], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8.8e-183], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.5e-259], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.15e-108], t$95$3, If[LessEqual[b, 2.2e-10], t$95$1, If[LessEqual[b, 5.1e+73], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.1e+116], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.1e+214], t$95$3, t$95$1]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -6.5e-24 or 2.15e-108 < b < 2.1999999999999999e-10 or 4.1e214 < b

   1. Initial program 24.3%

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

   3. Simplified 24.3%

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

   4. Taylor expanded in b around inf 60.1%

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

   if -6.5e-24 < b < -2.2000000000000001e-133

   1. Initial program 45.0%

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

   3. Simplified 45.0%

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

   4. Taylor expanded in y4 around inf 50.5%

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

   5. Taylor expanded in y1 around inf 55.8%

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

   if -2.2000000000000001e-133 < b < -8.7999999999999999e-183

   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%

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

   4. Taylor expanded in x around inf 72.8%

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

   if -8.7999999999999999e-183 < b < -7.50000000000000052e-259

   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 y4 around inf 35.7%

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

   5. Taylor expanded in c around inf 47.9%

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

   if -7.50000000000000052e-259 < b < 2.15e-108 or 2.1000000000000001e116 < b < 4.1e214

   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 y2 around inf 61.4%

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

   if 2.1999999999999999e-10 < b < 5.10000000000000024e73

   1. Initial program 13.3%

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

   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 54.2%

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

      1. *-commutative 54.2%

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

      2. mul-1-neg 54.2%

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

      3. *-commutative 54.2%

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

      4. *-commutative 54.2%

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

   6. Simplified 54.2%

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

   7. Taylor expanded in y5 around inf 61.0%

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

   if 5.10000000000000024e73 < b < 2.1000000000000001e116

   1. Initial program 9.1%

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

   3. Simplified 18.2%

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

   4. Taylor expanded in y0 around inf 45.5%

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

      1. *-commutative 45.5%

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

      2. mul-1-neg 45.5%

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

      3. *-commutative 45.5%

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

      4. *-commutative 45.5%

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

   6. Simplified 45.5%

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

   7. Taylor expanded in c around inf 64.6%

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

4. Final simplification 60.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -6.5 \cdot 10^{-24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-133}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -8.8 \cdot 10^{-183}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-259}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.15 \cdot 10^{-108}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{-10}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 5.1 \cdot 10^{+73}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{+116}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 4.1 \cdot 10^{+214}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 8: 32.5% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;i \leq -8.8 \cdot 10^{+216}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;i \leq -1.15 \cdot 10^{+137}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-35}:\\ \;\;\;\;j \cdot \left(t \cdot t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -8.2 \cdot 10^{-122}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -3.1 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{-279}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{-246}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{+152}:\\ \;\;\;\;t \cdot \left(j \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* b y4) (* i y5)))
        (t_2
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))))
   (if (<= i -8.8e+216)
     (* (* y k) (- (* i y5) (* b y4)))
     (if (<= i -1.15e+137)
       (* c (* y (- (* y3 y4) (* x i))))
       (if (<= i -1.35e-35)
         (* j (+ (* t t_1) (* y3 (- (* y0 y5) (* y1 y4)))))
         (if (<= i -8.2e-122)
           (* t (* y2 (- (* a y5) (* c y4))))
           (if (<= i -3.1e-212)
             t_2
             (if (<= i 1.5e-279)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= i 8.5e-246)
                 (* y4 (* t (- (* b j) (* c y2))))
                 (if (<= i 3e-37)
                   t_2
                   (if (<= i 4.2e+152)
                     (* t (* j t_1))
                     (* (* y b) (- (* x a) (* k y4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (i <= -8.8e+216) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (i <= -1.15e+137) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (i <= -1.35e-35) {
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (i <= -8.2e-122) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (i <= -3.1e-212) {
		tmp = t_2;
	} else if (i <= 1.5e-279) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (i <= 8.5e-246) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (i <= 3e-37) {
		tmp = t_2;
	} else if (i <= 4.2e+152) {
		tmp = t * (j * t_1);
	} else {
		tmp = (y * b) * ((x * a) - (k * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (b * y4) - (i * y5)
    t_2 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    if (i <= (-8.8d+216)) then
        tmp = (y * k) * ((i * y5) - (b * y4))
    else if (i <= (-1.15d+137)) then
        tmp = c * (y * ((y3 * y4) - (x * i)))
    else if (i <= (-1.35d-35)) then
        tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))))
    else if (i <= (-8.2d-122)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (i <= (-3.1d-212)) then
        tmp = t_2
    else if (i <= 1.5d-279) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (i <= 8.5d-246) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (i <= 3d-37) then
        tmp = t_2
    else if (i <= 4.2d+152) then
        tmp = t * (j * t_1)
    else
        tmp = (y * b) * ((x * a) - (k * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (i <= -8.8e+216) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (i <= -1.15e+137) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (i <= -1.35e-35) {
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (i <= -8.2e-122) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (i <= -3.1e-212) {
		tmp = t_2;
	} else if (i <= 1.5e-279) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (i <= 8.5e-246) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (i <= 3e-37) {
		tmp = t_2;
	} else if (i <= 4.2e+152) {
		tmp = t * (j * t_1);
	} else {
		tmp = (y * b) * ((x * a) - (k * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if i <= -8.8e+216:
		tmp = (y * k) * ((i * y5) - (b * y4))
	elif i <= -1.15e+137:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	elif i <= -1.35e-35:
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))))
	elif i <= -8.2e-122:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif i <= -3.1e-212:
		tmp = t_2
	elif i <= 1.5e-279:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif i <= 8.5e-246:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif i <= 3e-37:
		tmp = t_2
	elif i <= 4.2e+152:
		tmp = t * (j * t_1)
	else:
		tmp = (y * b) * ((x * a) - (k * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y4) - Float64(i * y5))
	t_2 = 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)))))
	tmp = 0.0
	if (i <= -8.8e+216)
		tmp = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)));
	elseif (i <= -1.15e+137)
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	elseif (i <= -1.35e-35)
		tmp = Float64(j * Float64(Float64(t * t_1) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))));
	elseif (i <= -8.2e-122)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (i <= -3.1e-212)
		tmp = t_2;
	elseif (i <= 1.5e-279)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (i <= 8.5e-246)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (i <= 3e-37)
		tmp = t_2;
	elseif (i <= 4.2e+152)
		tmp = Float64(t * Float64(j * t_1));
	else
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (i <= -8.8e+216)
		tmp = (y * k) * ((i * y5) - (b * y4));
	elseif (i <= -1.15e+137)
		tmp = c * (y * ((y3 * y4) - (x * i)));
	elseif (i <= -1.35e-35)
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	elseif (i <= -8.2e-122)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (i <= -3.1e-212)
		tmp = t_2;
	elseif (i <= 1.5e-279)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (i <= 8.5e-246)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (i <= 3e-37)
		tmp = t_2;
	elseif (i <= 4.2e+152)
		tmp = t * (j * t_1);
	else
		tmp = (y * b) * ((x * a) - (k * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = 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[i, -8.8e+216], N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.15e+137], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.35e-35], N[(j * N[(N[(t * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -8.2e-122], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3.1e-212], t$95$2, If[LessEqual[i, 1.5e-279], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 8.5e-246], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3e-37], t$95$2, If[LessEqual[i, 4.2e+152], N[(t * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if i < -8.8e216

   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%

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

   4. Taylor expanded in y around inf 63.6%

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

      1. mul-1-neg 63.6%

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

      2. *-commutative 63.6%

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

      3. *-commutative 63.6%

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

      4. *-commutative 63.6%

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

      5. *-commutative 63.6%

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

   6. Simplified 63.6%

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

   7. Taylor expanded in k around inf 73.0%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 77.3%

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

      2. *-commutative 77.3%

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

   9. Simplified 77.3%

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

   if -8.8e216 < i < -1.15e137

   1. Initial program 36.4%

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

   3. Simplified 45.5%

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

   4. Taylor expanded in y around inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. *-commutative 65.3%

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

      4. *-commutative 65.3%

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

      5. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   7. Taylor expanded in c around -inf 64.4%

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

      1. associate-*r* 64.4%

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

      2. neg-mul-1 64.4%

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

      3. mul-1-neg 64.4%

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

      4. unsub-neg 64.4%

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

      5. *-commutative 64.4%

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

   9. Simplified 64.4%

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

   if -1.15e137 < i < -1.3499999999999999e-35

   1. Initial program 27.3%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in j around inf 58.0%

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

   5. Taylor expanded in x around 0 55.2%

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

      1. *-commutative 55.2%

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

      2. +-commutative 55.2%

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

      3. mul-1-neg 55.2%

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

      4. *-commutative 55.2%

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

      5. unsub-neg 55.2%

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

      6. *-commutative 55.2%

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

   7. Simplified 55.2%

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

   if -1.3499999999999999e-35 < i < -8.2000000000000001e-122

   1. Initial program 21.7%

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

   3. Simplified 21.7%

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

   4. Taylor expanded in y2 around inf 65.5%

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

   5. Taylor expanded in t around -inf 52.7%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 52.7%

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

      2. neg-mul-1 52.7%

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

   7. Simplified 52.7%

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

   if -8.2000000000000001e-122 < i < -3.10000000000000006e-212 or 8.4999999999999998e-246 < i < 3e-37

   1. Initial program 40.5%

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

   3. Simplified 40.5%

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

   4. Taylor expanded in y4 around inf 55.4%

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

   if -3.10000000000000006e-212 < i < 1.5e-279

   1. Initial program 40.4%

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

   3. Simplified 47.1%

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

   4. Taylor expanded in y0 around inf 60.7%

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

      1. *-commutative 60.7%

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

      2. mul-1-neg 60.7%

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

      3. *-commutative 60.7%

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

      4. *-commutative 60.7%

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

   6. Simplified 60.7%

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

   7. Taylor expanded in c around inf 64.7%

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

   if 1.5e-279 < i < 8.4999999999999998e-246

   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 y4 around inf 20.1%

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

   5. Taylor expanded in t around inf 70.0%

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

   if 3e-37 < i < 4.2000000000000003e152

   1. Initial program 14.6%

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

   3. Simplified 23.2%

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

   4. Taylor expanded in j around inf 43.1%

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

   5. Taylor expanded in t around inf 46.9%

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

   if 4.2000000000000003e152 < i

   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 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 47.1%

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

      1. mul-1-neg 47.1%

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

      2. *-commutative 47.1%

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

      3. *-commutative 47.1%

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

      4. *-commutative 47.1%

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

      5. *-commutative 47.1%

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

   6. Simplified 47.1%

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

   7. Taylor expanded in b around inf 51.1%

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

      1. associate-*r* 54.3%

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

      2. *-commutative 54.3%

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

      3. *-commutative 54.3%

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

   9. Simplified 54.3%

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

4. Final simplification 57.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -8.8 \cdot 10^{+216}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;i \leq -1.15 \cdot 10^{+137}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-35}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -8.2 \cdot 10^{-122}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -3.1 \cdot 10^{-212}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{-279}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{-246}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-37}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{+152}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \end{array} \]

Alternative 9: 35.4% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;i \leq -6.8 \cdot 10^{+214}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;i \leq -3.75 \cdot 10^{+140}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;i \leq -1.08 \cdot 10^{-38}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -6.8 \cdot 10^{-69}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-162}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -4 \cdot 10^{-208}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 7 \cdot 10^{-255}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 1.05 \cdot 10^{+31}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_1))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= i -6.8e+214)
     (* (* y k) (- (* i y5) (* b y4)))
     (if (<= i -3.75e+140)
       (* c (* y (- (* y3 y4) (* x i))))
       (if (<= i -1.08e-38)
         (* j (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4)))))
         (if (<= i -6.8e-69)
           t_2
           (if (<= i -1.35e-162)
             (*
              y2
              (+
               (- (* k (- (* y1 y4) (* y0 y5))) (* y1 (* x a)))
               (* t (- (* a y5) (* c y4)))))
             (if (<= i -4e-208)
               t_2
               (if (<= i 7e-255)
                 (* c (* y0 (- (* x y2) (* z y3))))
                 (if (<= i 1.05e+31)
                   (*
                    y4
                    (+
                     (+ (* b t_1) (* y1 (- (* k y2) (* j y3))))
                     (* c (- (* y y3) (* t y2)))))
                   t_2))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (i <= -6.8e+214) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (i <= -3.75e+140) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (i <= -1.08e-38) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (i <= -6.8e-69) {
		tmp = t_2;
	} else if (i <= -1.35e-162) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	} else if (i <= -4e-208) {
		tmp = t_2;
	} else if (i <= 7e-255) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (i <= 1.05e+31) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} 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 = (t * j) - (y * k)
    t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    if (i <= (-6.8d+214)) then
        tmp = (y * k) * ((i * y5) - (b * y4))
    else if (i <= (-3.75d+140)) then
        tmp = c * (y * ((y3 * y4) - (x * i)))
    else if (i <= (-1.08d-38)) then
        tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))))
    else if (i <= (-6.8d-69)) then
        tmp = t_2
    else if (i <= (-1.35d-162)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))))
    else if (i <= (-4d-208)) then
        tmp = t_2
    else if (i <= 7d-255) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (i <= 1.05d+31) then
        tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    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 = (t * j) - (y * k);
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (i <= -6.8e+214) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (i <= -3.75e+140) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (i <= -1.08e-38) {
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (i <= -6.8e-69) {
		tmp = t_2;
	} else if (i <= -1.35e-162) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	} else if (i <= -4e-208) {
		tmp = t_2;
	} else if (i <= 7e-255) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (i <= 1.05e+31) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} 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 = (t * j) - (y * k)
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	tmp = 0
	if i <= -6.8e+214:
		tmp = (y * k) * ((i * y5) - (b * y4))
	elif i <= -3.75e+140:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	elif i <= -1.08e-38:
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))))
	elif i <= -6.8e-69:
		tmp = t_2
	elif i <= -1.35e-162:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))))
	elif i <= -4e-208:
		tmp = t_2
	elif i <= 7e-255:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif i <= 1.05e+31:
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	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(t * j) - Float64(y * k))
	t_2 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (i <= -6.8e+214)
		tmp = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)));
	elseif (i <= -3.75e+140)
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	elseif (i <= -1.08e-38)
		tmp = Float64(j * Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))));
	elseif (i <= -6.8e-69)
		tmp = t_2;
	elseif (i <= -1.35e-162)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) - Float64(y1 * Float64(x * a))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (i <= -4e-208)
		tmp = t_2;
	elseif (i <= 7e-255)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (i <= 1.05e+31)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	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 = (t * j) - (y * k);
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (i <= -6.8e+214)
		tmp = (y * k) * ((i * y5) - (b * y4));
	elseif (i <= -3.75e+140)
		tmp = c * (y * ((y3 * y4) - (x * i)));
	elseif (i <= -1.08e-38)
		tmp = j * ((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4))));
	elseif (i <= -6.8e-69)
		tmp = t_2;
	elseif (i <= -1.35e-162)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	elseif (i <= -4e-208)
		tmp = t_2;
	elseif (i <= 7e-255)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (i <= 1.05e+31)
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -6.8e+214], N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3.75e+140], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.08e-38], N[(j * N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -6.8e-69], t$95$2, If[LessEqual[i, -1.35e-162], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y1 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -4e-208], t$95$2, If[LessEqual[i, 7e-255], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.05e+31], N[(y4 * N[(N[(N[(b * t$95$1), $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], t$95$2]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if i < -6.7999999999999996e214

   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%

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

   4. Taylor expanded in y around inf 63.6%

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

      1. mul-1-neg 63.6%

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

      2. *-commutative 63.6%

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

      3. *-commutative 63.6%

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

      4. *-commutative 63.6%

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

      5. *-commutative 63.6%

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

   6. Simplified 63.6%

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

   7. Taylor expanded in k around inf 73.0%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 77.3%

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

      2. *-commutative 77.3%

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

   9. Simplified 77.3%

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

   if -6.7999999999999996e214 < i < -3.7499999999999999e140

   1. Initial program 36.4%

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

   3. Simplified 45.5%

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

   4. Taylor expanded in y around inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. *-commutative 65.3%

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

      4. *-commutative 65.3%

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

      5. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   7. Taylor expanded in c around -inf 64.4%

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

      1. associate-*r* 64.4%

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

      2. neg-mul-1 64.4%

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

      3. mul-1-neg 64.4%

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

      4. unsub-neg 64.4%

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

      5. *-commutative 64.4%

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

   9. Simplified 64.4%

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

   if -3.7499999999999999e140 < i < -1.08e-38

   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 31.4%

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

   4. Taylor expanded in j around inf 54.8%

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

   5. Taylor expanded in x around 0 52.2%

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

      1. *-commutative 52.2%

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

      2. +-commutative 52.2%

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

      3. mul-1-neg 52.2%

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

      4. *-commutative 52.2%

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

      5. unsub-neg 52.2%

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

      6. *-commutative 52.2%

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

   7. Simplified 52.2%

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

   if -1.08e-38 < i < -6.80000000000000016e-69 or -1.34999999999999992e-162 < i < -4.0000000000000004e-208 or 1.04999999999999989e31 < i

   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 26.2%

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

   4. Taylor expanded in b around inf 48.9%

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

   if -6.80000000000000016e-69 < i < -1.34999999999999992e-162

   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 31.9%

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

   4. Taylor expanded in y2 around inf 73.9%

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

   5. Taylor expanded in c around 0 53.1%

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

   if -4.0000000000000004e-208 < i < 6.99999999999999958e-255

   1. Initial program 35.3%

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

   3. Simplified 40.3%

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

   4. Taylor expanded in y0 around inf 53.1%

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

      1. *-commutative 53.1%

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

      2. mul-1-neg 53.1%

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

      3. *-commutative 53.1%

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

      4. *-commutative 53.1%

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

   6. Simplified 53.1%

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

   7. Taylor expanded in c around inf 56.3%

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

   if 6.99999999999999958e-255 < i < 1.04999999999999989e31

   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 y4 around inf 57.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 55.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -6.8 \cdot 10^{+214}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;i \leq -3.75 \cdot 10^{+140}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;i \leq -1.08 \cdot 10^{-38}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -6.8 \cdot 10^{-69}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-162}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -4 \cdot 10^{-208}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 7 \cdot 10^{-255}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;i \leq 1.05 \cdot 10^{+31}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 10: 42.9% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ t_2 := y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\right)\\ t_3 := k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ t_4 := a \cdot y5 - c \cdot y4\\ t_5 := t \cdot t_4\\ t_6 := t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t_4\right)\right)\\ \mathbf{if}\;y \leq -3 \cdot 10^{+24}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{-183}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{-234}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-292}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{-206}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{-120}:\\ \;\;\;\;y2 \cdot \left(\left(t_3 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t_5\right)\\ \mathbf{elif}\;y \leq 2.85 \cdot 10^{-61}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 2.95 \cdot 10^{+87}:\\ \;\;\;\;y2 \cdot \left(\left(t_3 - y1 \cdot \left(x \cdot a\right)\right) + t_5\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y
          (+
           (* k (- (* i y5) (* b y4)))
           (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5)))))))
        (t_2
         (*
          y0
          (+
           (* c (- (* x y2) (* z y3)))
           (+ (* y5 (- (* j y3) (* k y2))) (* b (- (* z k) (* x j)))))))
        (t_3 (* k (- (* y1 y4) (* y0 y5))))
        (t_4 (- (* a y5) (* c y4)))
        (t_5 (* t t_4))
        (t_6
         (*
          t
          (+
           (* z (- (* c i) (* a b)))
           (+ (* j (- (* b y4) (* i y5))) (* y2 t_4))))))
   (if (<= y -3e+24)
     t_1
     (if (<= y -4.8e-183)
       (*
        y4
        (+
         (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
         (* c (- (* y y3) (* t y2)))))
       (if (<= y -3.5e-234)
         t_2
         (if (<= y 3.6e-292)
           t_6
           (if (<= y 1.02e-206)
             t_2
             (if (<= y 7.5e-120)
               (* y2 (+ (+ t_3 (* x (- (* c y0) (* a y1)))) t_5))
               (if (<= y 2.85e-61)
                 t_6
                 (if (<= y 2.95e+87)
                   (* y2 (+ (- t_3 (* y1 (* x a))) t_5))
                   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 * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double t_2 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))));
	double t_3 = k * ((y1 * y4) - (y0 * y5));
	double t_4 = (a * y5) - (c * y4);
	double t_5 = t * t_4;
	double t_6 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_4)));
	double tmp;
	if (y <= -3e+24) {
		tmp = t_1;
	} else if (y <= -4.8e-183) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y <= -3.5e-234) {
		tmp = t_2;
	} else if (y <= 3.6e-292) {
		tmp = t_6;
	} else if (y <= 1.02e-206) {
		tmp = t_2;
	} else if (y <= 7.5e-120) {
		tmp = y2 * ((t_3 + (x * ((c * y0) - (a * y1)))) + t_5);
	} else if (y <= 2.85e-61) {
		tmp = t_6;
	} else if (y <= 2.95e+87) {
		tmp = y2 * ((t_3 - (y1 * (x * a))) + t_5);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    t_2 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))))
    t_3 = k * ((y1 * y4) - (y0 * y5))
    t_4 = (a * y5) - (c * y4)
    t_5 = t * t_4
    t_6 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_4)))
    if (y <= (-3d+24)) then
        tmp = t_1
    else if (y <= (-4.8d-183)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (y <= (-3.5d-234)) then
        tmp = t_2
    else if (y <= 3.6d-292) then
        tmp = t_6
    else if (y <= 1.02d-206) then
        tmp = t_2
    else if (y <= 7.5d-120) then
        tmp = y2 * ((t_3 + (x * ((c * y0) - (a * y1)))) + t_5)
    else if (y <= 2.85d-61) then
        tmp = t_6
    else if (y <= 2.95d+87) then
        tmp = y2 * ((t_3 - (y1 * (x * a))) + t_5)
    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 * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double t_2 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))));
	double t_3 = k * ((y1 * y4) - (y0 * y5));
	double t_4 = (a * y5) - (c * y4);
	double t_5 = t * t_4;
	double t_6 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_4)));
	double tmp;
	if (y <= -3e+24) {
		tmp = t_1;
	} else if (y <= -4.8e-183) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y <= -3.5e-234) {
		tmp = t_2;
	} else if (y <= 3.6e-292) {
		tmp = t_6;
	} else if (y <= 1.02e-206) {
		tmp = t_2;
	} else if (y <= 7.5e-120) {
		tmp = y2 * ((t_3 + (x * ((c * y0) - (a * y1)))) + t_5);
	} else if (y <= 2.85e-61) {
		tmp = t_6;
	} else if (y <= 2.95e+87) {
		tmp = y2 * ((t_3 - (y1 * (x * a))) + t_5);
	} 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 * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	t_2 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))))
	t_3 = k * ((y1 * y4) - (y0 * y5))
	t_4 = (a * y5) - (c * y4)
	t_5 = t * t_4
	t_6 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_4)))
	tmp = 0
	if y <= -3e+24:
		tmp = t_1
	elif y <= -4.8e-183:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif y <= -3.5e-234:
		tmp = t_2
	elif y <= 3.6e-292:
		tmp = t_6
	elif y <= 1.02e-206:
		tmp = t_2
	elif y <= 7.5e-120:
		tmp = y2 * ((t_3 + (x * ((c * y0) - (a * y1)))) + t_5)
	elif y <= 2.85e-61:
		tmp = t_6
	elif y <= 2.95e+87:
		tmp = y2 * ((t_3 - (y1 * (x * a))) + t_5)
	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(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))))))
	t_2 = 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(z * k) - Float64(x * j))))))
	t_3 = Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5)))
	t_4 = Float64(Float64(a * y5) - Float64(c * y4))
	t_5 = Float64(t * t_4)
	t_6 = 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_4))))
	tmp = 0.0
	if (y <= -3e+24)
		tmp = t_1;
	elseif (y <= -4.8e-183)
		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 (y <= -3.5e-234)
		tmp = t_2;
	elseif (y <= 3.6e-292)
		tmp = t_6;
	elseif (y <= 1.02e-206)
		tmp = t_2;
	elseif (y <= 7.5e-120)
		tmp = Float64(y2 * Float64(Float64(t_3 + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + t_5));
	elseif (y <= 2.85e-61)
		tmp = t_6;
	elseif (y <= 2.95e+87)
		tmp = Float64(y2 * Float64(Float64(t_3 - Float64(y1 * Float64(x * a))) + t_5));
	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 * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	t_2 = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j)))));
	t_3 = k * ((y1 * y4) - (y0 * y5));
	t_4 = (a * y5) - (c * y4);
	t_5 = t * t_4;
	t_6 = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_4)));
	tmp = 0.0;
	if (y <= -3e+24)
		tmp = t_1;
	elseif (y <= -4.8e-183)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (y <= -3.5e-234)
		tmp = t_2;
	elseif (y <= 3.6e-292)
		tmp = t_6;
	elseif (y <= 1.02e-206)
		tmp = t_2;
	elseif (y <= 7.5e-120)
		tmp = y2 * ((t_3 + (x * ((c * y0) - (a * y1)))) + t_5);
	elseif (y <= 2.85e-61)
		tmp = t_6;
	elseif (y <= 2.95e+87)
		tmp = y2 * ((t_3 - (y1 * (x * a))) + t_5);
	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[(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]}, Block[{t$95$2 = 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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(t * t$95$4), $MachinePrecision]}, Block[{t$95$6 = 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$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -3e+24], t$95$1, If[LessEqual[y, -4.8e-183], 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[y, -3.5e-234], t$95$2, If[LessEqual[y, 3.6e-292], t$95$6, If[LessEqual[y, 1.02e-206], t$95$2, If[LessEqual[y, 7.5e-120], N[(y2 * N[(N[(t$95$3 + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.85e-61], t$95$6, If[LessEqual[y, 2.95e+87], N[(y2 * N[(N[(t$95$3 - N[(y1 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -2.99999999999999995e24 or 2.9499999999999998e87 < y

   1. Initial program 24.7%

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

   3. Simplified 29.6%

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

   4. Taylor expanded in y around inf 65.1%

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

      1. mul-1-neg 65.1%

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

      2. *-commutative 65.1%

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

      3. *-commutative 65.1%

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

      4. *-commutative 65.1%

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

      5. *-commutative 65.1%

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

   6. Simplified 65.1%

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

   if -2.99999999999999995e24 < y < -4.79999999999999986e-183

   1. Initial program 34.1%

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

   3. Simplified 34.1%

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

   4. Taylor expanded in y4 around inf 54.2%

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

   if -4.79999999999999986e-183 < y < -3.5000000000000001e-234 or 3.6000000000000002e-292 < y < 1.0200000000000001e-206

   1. Initial program 18.0%

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

   3. Simplified 28.7%

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

   4. Taylor expanded in y0 around inf 68.1%

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

      1. *-commutative 68.1%

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

      2. mul-1-neg 68.1%

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

      3. *-commutative 68.1%

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

      4. *-commutative 68.1%

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

   6. Simplified 68.1%

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

   if -3.5000000000000001e-234 < y < 3.6000000000000002e-292 or 7.5000000000000004e-120 < y < 2.85000000000000003e-61

   1. Initial program 28.7%

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

   3. Simplified 28.7%

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

   4. Taylor expanded in t around inf 52.1%

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

      1. associate--l+ 52.1%

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

      2. *-commutative 52.1%

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

      3. mul-1-neg 52.1%

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

      4. *-commutative 52.1%

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

      5. *-commutative 52.1%

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

      6. *-commutative 52.1%

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

      7. *-commutative 52.1%

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

   6. Simplified 52.1%

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

   if 1.0200000000000001e-206 < y < 7.5000000000000004e-120

   1. Initial program 43.8%

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

   3. Simplified 43.8%

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

   4. Taylor expanded in 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 2.85000000000000003e-61 < y < 2.9499999999999998e87

   1. Initial program 38.5%

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

   3. Simplified 38.5%

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

   4. Taylor expanded in y2 around inf 53.6%

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

   5. Taylor expanded in c around 0 62.3%

      \[\leadsto \left(\left(\color{blue}{-1 \cdot \left(y1 \cdot \left(a \cdot x\right)\right)} + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2 \]
3. Recombined 6 regimes into one program.

4. Final simplification 61.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -3 \cdot 10^{+24}:\\ \;\;\;\;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}\;y \leq -4.8 \cdot 10^{-183}:\\ \;\;\;\;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}\;y \leq -3.5 \cdot 10^{-234}:\\ \;\;\;\;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(z \cdot k - x \cdot j\right)\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-292}:\\ \;\;\;\;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}\;y \leq 1.02 \cdot 10^{-206}:\\ \;\;\;\;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(z \cdot k - x \cdot j\right)\right)\right)\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{-120}:\\ \;\;\;\;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}\;y \leq 2.85 \cdot 10^{-61}:\\ \;\;\;\;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}\;y \leq 2.95 \cdot 10^{+87}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;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)\\ \end{array} \]

Alternative 11: 42.8% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_3 := k \cdot y2 - j \cdot y3\\ t_4 := y \cdot y3 - t \cdot y2\\ t_5 := y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot t_3 + a \cdot t_4\right)\right)\\ \mathbf{if}\;b \leq -1.5 \cdot 10^{-24}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{-217}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{-258}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{-105}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 7 \cdot 10^{+76}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{+172}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot t_3\right) + c \cdot t_4\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{+185}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_1))
           (* y0 (- (* z k) (* x j))))))
        (t_3 (- (* k y2) (* j y3)))
        (t_4 (- (* y y3) (* t y2)))
        (t_5 (* y5 (- (* i (- (* y k) (* t j))) (+ (* y0 t_3) (* a t_4))))))
   (if (<= b -1.5e-24)
     t_2
     (if (<= b -2.8e-217)
       t_5
       (if (<= b -1.4e-258)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= b 6.8e-105)
           (*
            y2
            (+
             (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
             (* t (- (* a y5) (* c y4)))))
           (if (<= b 7e+76)
             t_5
             (if (<= b 5.5e+172)
               (* y4 (+ (+ (* b t_1) (* y1 t_3)) (* c t_4)))
               (if (<= b 4.4e+185)
                 (* y0 (* y5 (- (* j y3) (* k y2))))
                 t_2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double t_3 = (k * y2) - (j * y3);
	double t_4 = (y * y3) - (t * y2);
	double t_5 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * t_3) + (a * t_4)));
	double tmp;
	if (b <= -1.5e-24) {
		tmp = t_2;
	} else if (b <= -2.8e-217) {
		tmp = t_5;
	} else if (b <= -1.4e-258) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (b <= 6.8e-105) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 7e+76) {
		tmp = t_5;
	} else if (b <= 5.5e+172) {
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * t_4));
	} else if (b <= 4.4e+185) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} 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) :: t_5
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    t_3 = (k * y2) - (j * y3)
    t_4 = (y * y3) - (t * y2)
    t_5 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * t_3) + (a * t_4)))
    if (b <= (-1.5d-24)) then
        tmp = t_2
    else if (b <= (-2.8d-217)) then
        tmp = t_5
    else if (b <= (-1.4d-258)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (b <= 6.8d-105) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (b <= 7d+76) then
        tmp = t_5
    else if (b <= 5.5d+172) then
        tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * t_4))
    else if (b <= 4.4d+185) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    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 = (t * j) - (y * k);
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double t_3 = (k * y2) - (j * y3);
	double t_4 = (y * y3) - (t * y2);
	double t_5 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * t_3) + (a * t_4)));
	double tmp;
	if (b <= -1.5e-24) {
		tmp = t_2;
	} else if (b <= -2.8e-217) {
		tmp = t_5;
	} else if (b <= -1.4e-258) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (b <= 6.8e-105) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 7e+76) {
		tmp = t_5;
	} else if (b <= 5.5e+172) {
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * t_4));
	} else if (b <= 4.4e+185) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} 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 = (t * j) - (y * k)
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	t_3 = (k * y2) - (j * y3)
	t_4 = (y * y3) - (t * y2)
	t_5 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * t_3) + (a * t_4)))
	tmp = 0
	if b <= -1.5e-24:
		tmp = t_2
	elif b <= -2.8e-217:
		tmp = t_5
	elif b <= -1.4e-258:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif b <= 6.8e-105:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif b <= 7e+76:
		tmp = t_5
	elif b <= 5.5e+172:
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * t_4))
	elif b <= 4.4e+185:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	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(t * j) - Float64(y * k))
	t_2 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_3 = Float64(Float64(k * y2) - Float64(j * y3))
	t_4 = Float64(Float64(y * y3) - Float64(t * y2))
	t_5 = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) - Float64(Float64(y0 * t_3) + Float64(a * t_4))))
	tmp = 0.0
	if (b <= -1.5e-24)
		tmp = t_2;
	elseif (b <= -2.8e-217)
		tmp = t_5;
	elseif (b <= -1.4e-258)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (b <= 6.8e-105)
		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 (b <= 7e+76)
		tmp = t_5;
	elseif (b <= 5.5e+172)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * t_3)) + Float64(c * t_4)));
	elseif (b <= 4.4e+185)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	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 = (t * j) - (y * k);
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	t_3 = (k * y2) - (j * y3);
	t_4 = (y * y3) - (t * y2);
	t_5 = y5 * ((i * ((y * k) - (t * j))) - ((y0 * t_3) + (a * t_4)));
	tmp = 0.0;
	if (b <= -1.5e-24)
		tmp = t_2;
	elseif (b <= -2.8e-217)
		tmp = t_5;
	elseif (b <= -1.4e-258)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (b <= 6.8e-105)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (b <= 7e+76)
		tmp = t_5;
	elseif (b <= 5.5e+172)
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * t_4));
	elseif (b <= 4.4e+185)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y0 * t$95$3), $MachinePrecision] + N[(a * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.5e-24], t$95$2, If[LessEqual[b, -2.8e-217], t$95$5, If[LessEqual[b, -1.4e-258], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.8e-105], 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[b, 7e+76], t$95$5, If[LessEqual[b, 5.5e+172], N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.4e+185], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if b < -1.49999999999999998e-24 or 4.4000000000000002e185 < b

   1. Initial program 23.1%

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

   3. Simplified 23.1%

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

   4. Taylor expanded in b around inf 59.2%

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

   if -1.49999999999999998e-24 < b < -2.8e-217 or 6.79999999999999984e-105 < b < 7.00000000000000001e76

   1. Initial program 33.1%

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

   3. Simplified 33.1%

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

   4. Taylor expanded in y5 around -inf 53.7%

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

      1. mul-1-neg 53.7%

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

      2. associate--l+ 53.7%

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

      3. *-commutative 53.7%

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

   6. Simplified 53.7%

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

   if -2.8e-217 < b < -1.4000000000000001e-258

   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 z around -inf 46.2%

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

   5. Taylor expanded in y1 around inf 55.1%

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

      1. *-commutative 55.1%

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

      2. associate-*l* 55.1%

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

      3. cancel-sign-sub-inv 55.1%

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

      4. metadata-eval 55.1%

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

      5. *-lft-identity 55.1%

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

      6. +-commutative 55.1%

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

      7. mul-1-neg 55.1%

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

      8. unsub-neg 55.1%

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

   7. Simplified 55.1%

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

   if -1.4000000000000001e-258 < b < 6.79999999999999984e-105

   1. Initial program 43.3%

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

   3. Simplified 43.3%

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

   4. Taylor expanded in y2 around inf 62.8%

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

   if 7.00000000000000001e76 < b < 5.4999999999999999e172

   1. Initial program 10.5%

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

   3. Simplified 10.5%

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

   4. Taylor expanded in y4 around inf 63.2%

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

   if 5.4999999999999999e172 < b < 4.4000000000000002e185

   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%

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

   4. Taylor expanded in y0 around inf 50.0%

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

      1. *-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. *-commutative 50.0%

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

      4. *-commutative 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in y5 around inf 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 59.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.5 \cdot 10^{-24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{-217}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{-258}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{-105}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 7 \cdot 10^{+76}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) - \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{+172}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{+185}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 12: 33.2% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := t \cdot \left(j \cdot t_1\right)\\ \mathbf{if}\;y2 \leq -5.5 \cdot 10^{+56}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.72 \cdot 10^{-46}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -1.75 \cdot 10^{-227}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -8.2 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.15 \cdot 10^{-176}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(t \cdot t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.85 \cdot 10^{+96}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* b y4) (* i y5))) (t_2 (* t (* j t_1))))
   (if (<= y2 -5.5e+56)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= y2 -1.72e-46)
       t_2
       (if (<= y2 -1.75e-227)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y2 -8.2e-297)
           (* j (* x (- (* i y1) (* b y0))))
           (if (<= y2 2.15e-176)
             t_2
             (if (<= y2 5.8e-41)
               (* j (+ (* t t_1) (* y3 (- (* y0 y5) (* y1 y4)))))
               (if (<= y2 1.85e+96)
                 (* y (* a (- (* x b) (* y3 y5))))
                 (*
                  y2
                  (+
                   (- (* k (- (* y1 y4) (* y0 y5))) (* y1 (* x a)))
                   (* t (- (* a y5) (* c y4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = t * (j * t_1);
	double tmp;
	if (y2 <= -5.5e+56) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -1.72e-46) {
		tmp = t_2;
	} else if (y2 <= -1.75e-227) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y2 <= -8.2e-297) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 2.15e-176) {
		tmp = t_2;
	} else if (y2 <= 5.8e-41) {
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (y2 <= 1.85e+96) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (b * y4) - (i * y5)
    t_2 = t * (j * t_1)
    if (y2 <= (-5.5d+56)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-1.72d-46)) then
        tmp = t_2
    else if (y2 <= (-1.75d-227)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y2 <= (-8.2d-297)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y2 <= 2.15d-176) then
        tmp = t_2
    else if (y2 <= 5.8d-41) then
        tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))))
    else if (y2 <= 1.85d+96) then
        tmp = y * (a * ((x * b) - (y3 * y5)))
    else
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = t * (j * t_1);
	double tmp;
	if (y2 <= -5.5e+56) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -1.72e-46) {
		tmp = t_2;
	} else if (y2 <= -1.75e-227) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y2 <= -8.2e-297) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 2.15e-176) {
		tmp = t_2;
	} else if (y2 <= 5.8e-41) {
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (y2 <= 1.85e+96) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = t * (j * t_1)
	tmp = 0
	if y2 <= -5.5e+56:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -1.72e-46:
		tmp = t_2
	elif y2 <= -1.75e-227:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y2 <= -8.2e-297:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y2 <= 2.15e-176:
		tmp = t_2
	elif y2 <= 5.8e-41:
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))))
	elif y2 <= 1.85e+96:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	else:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y4) - Float64(i * y5))
	t_2 = Float64(t * Float64(j * t_1))
	tmp = 0.0
	if (y2 <= -5.5e+56)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -1.72e-46)
		tmp = t_2;
	elseif (y2 <= -1.75e-227)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y2 <= -8.2e-297)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y2 <= 2.15e-176)
		tmp = t_2;
	elseif (y2 <= 5.8e-41)
		tmp = Float64(j * Float64(Float64(t * t_1) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))));
	elseif (y2 <= 1.85e+96)
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	else
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) - Float64(y1 * Float64(x * a))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = t * (j * t_1);
	tmp = 0.0;
	if (y2 <= -5.5e+56)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -1.72e-46)
		tmp = t_2;
	elseif (y2 <= -1.75e-227)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y2 <= -8.2e-297)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y2 <= 2.15e-176)
		tmp = t_2;
	elseif (y2 <= 5.8e-41)
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	elseif (y2 <= 1.85e+96)
		tmp = y * (a * ((x * b) - (y3 * y5)));
	else
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) - (y1 * (x * a))) + (t * ((a * y5) - (c * y4))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -5.5e+56], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.72e-46], t$95$2, If[LessEqual[y2, -1.75e-227], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8.2e-297], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.15e-176], t$95$2, If[LessEqual[y2, 5.8e-41], N[(j * N[(N[(t * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.85e+96], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y1 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -5.5000000000000002e56

   1. Initial program 16.9%

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

   3. Simplified 25.4%

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

   4. Taylor expanded in y0 around inf 47.6%

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

      1. *-commutative 47.6%

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

      2. mul-1-neg 47.6%

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

      3. *-commutative 47.6%

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

      4. *-commutative 47.6%

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

   6. Simplified 47.6%

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

   7. Taylor expanded in c around inf 55.3%

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

   if -5.5000000000000002e56 < y2 < -1.7199999999999999e-46 or -8.2000000000000004e-297 < y2 < 2.15000000000000006e-176

   1. Initial program 20.1%

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

   3. Simplified 30.1%

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

   4. Taylor expanded in j around inf 40.9%

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

   5. Taylor expanded in t around inf 45.5%

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

   if -1.7199999999999999e-46 < y2 < -1.75000000000000005e-227

   1. Initial program 39.2%

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

   3. Simplified 39.2%

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

   4. Taylor expanded in z around -inf 46.9%

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

   5. Taylor expanded in y1 around inf 46.9%

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

      1. *-commutative 46.9%

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

      2. associate-*l* 51.6%

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

      3. cancel-sign-sub-inv 51.6%

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

      4. metadata-eval 51.6%

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

      5. *-lft-identity 51.6%

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

      6. +-commutative 51.6%

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

      7. mul-1-neg 51.6%

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

      8. unsub-neg 51.6%

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

   7. Simplified 51.6%

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

   if -1.75000000000000005e-227 < y2 < -8.2000000000000004e-297

   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 54.5%

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

   4. Taylor expanded in j around inf 46.1%

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

   5. Taylor expanded in x around inf 64.4%

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

   if 2.15000000000000006e-176 < y2 < 5.79999999999999955e-41

   1. Initial program 31.6%

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

   3. Simplified 35.1%

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

   4. Taylor expanded in j around inf 31.7%

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

   5. Taylor expanded in x around 0 48.8%

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

      1. *-commutative 48.8%

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

      2. +-commutative 48.8%

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

      3. mul-1-neg 48.8%

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

      4. *-commutative 48.8%

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

      5. unsub-neg 48.8%

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

      6. *-commutative 48.8%

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

   7. Simplified 48.8%

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

   if 5.79999999999999955e-41 < y2 < 1.84999999999999996e96

   1. Initial program 42.1%

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

   3. Simplified 47.4%

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

   4. Taylor expanded in y around inf 64.0%

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

      1. mul-1-neg 64.0%

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

      2. *-commutative 64.0%

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

      3. *-commutative 64.0%

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

      4. *-commutative 64.0%

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

      5. *-commutative 64.0%

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

   6. Simplified 64.0%

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

   7. Taylor expanded in a around inf 58.5%

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

      1. +-commutative 58.5%

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

      2. mul-1-neg 58.5%

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

      3. sub-neg 58.5%

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

   9. Simplified 58.5%

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

   if 1.84999999999999996e96 < y2

   1. Initial program 34.2%

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

   3. Simplified 34.2%

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

   4. Taylor expanded in y2 around inf 66.5%

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

   5. Taylor expanded in c around 0 64.4%

      \[\leadsto \left(\left(\color{blue}{-1 \cdot \left(y1 \cdot \left(a \cdot x\right)\right)} + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2 \]
3. Recombined 7 regimes into one program.

4. Final simplification 54.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -5.5 \cdot 10^{+56}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.72 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.75 \cdot 10^{-227}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -8.2 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 2.15 \cdot 10^{-176}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.85 \cdot 10^{+96}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(x \cdot a\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]

Alternative 13: 31.0% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := t \cdot \left(j \cdot t_1\right)\\ \mathbf{if}\;y2 \leq -1.04 \cdot 10^{+58}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.6 \cdot 10^{-47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-227}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -6 \cdot 10^{-298}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.62 \cdot 10^{-183}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 1.8 \cdot 10^{-39}:\\ \;\;\;\;j \cdot \left(t \cdot t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+130}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot y2\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* b y4) (* i y5))) (t_2 (* t (* j t_1))))
   (if (<= y2 -1.04e+58)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= y2 -6.6e-47)
       t_2
       (if (<= y2 -4.2e-227)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y2 -6e-298)
           (* j (* x (- (* i y1) (* b y0))))
           (if (<= y2 1.62e-183)
             t_2
             (if (<= y2 1.8e-39)
               (* j (+ (* t t_1) (* y3 (- (* y0 y5) (* y1 y4)))))
               (if (<= y2 7.8e+130)
                 (* (* y b) (- (* x a) (* k y4)))
                 (* (* x y2) (- (* c y0) (* a y1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = t * (j * t_1);
	double tmp;
	if (y2 <= -1.04e+58) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -6.6e-47) {
		tmp = t_2;
	} else if (y2 <= -4.2e-227) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y2 <= -6e-298) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 1.62e-183) {
		tmp = t_2;
	} else if (y2 <= 1.8e-39) {
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (y2 <= 7.8e+130) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else {
		tmp = (x * y2) * ((c * y0) - (a * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (b * y4) - (i * y5)
    t_2 = t * (j * t_1)
    if (y2 <= (-1.04d+58)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-6.6d-47)) then
        tmp = t_2
    else if (y2 <= (-4.2d-227)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y2 <= (-6d-298)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y2 <= 1.62d-183) then
        tmp = t_2
    else if (y2 <= 1.8d-39) then
        tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))))
    else if (y2 <= 7.8d+130) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else
        tmp = (x * y2) * ((c * y0) - (a * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = t * (j * t_1);
	double tmp;
	if (y2 <= -1.04e+58) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -6.6e-47) {
		tmp = t_2;
	} else if (y2 <= -4.2e-227) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y2 <= -6e-298) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 1.62e-183) {
		tmp = t_2;
	} else if (y2 <= 1.8e-39) {
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	} else if (y2 <= 7.8e+130) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else {
		tmp = (x * y2) * ((c * y0) - (a * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = t * (j * t_1)
	tmp = 0
	if y2 <= -1.04e+58:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -6.6e-47:
		tmp = t_2
	elif y2 <= -4.2e-227:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y2 <= -6e-298:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y2 <= 1.62e-183:
		tmp = t_2
	elif y2 <= 1.8e-39:
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))))
	elif y2 <= 7.8e+130:
		tmp = (y * b) * ((x * a) - (k * y4))
	else:
		tmp = (x * y2) * ((c * y0) - (a * y1))
	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(b * y4) - Float64(i * y5))
	t_2 = Float64(t * Float64(j * t_1))
	tmp = 0.0
	if (y2 <= -1.04e+58)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -6.6e-47)
		tmp = t_2;
	elseif (y2 <= -4.2e-227)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y2 <= -6e-298)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y2 <= 1.62e-183)
		tmp = t_2;
	elseif (y2 <= 1.8e-39)
		tmp = Float64(j * Float64(Float64(t * t_1) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))));
	elseif (y2 <= 7.8e+130)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	else
		tmp = Float64(Float64(x * y2) * Float64(Float64(c * y0) - Float64(a * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = t * (j * t_1);
	tmp = 0.0;
	if (y2 <= -1.04e+58)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -6.6e-47)
		tmp = t_2;
	elseif (y2 <= -4.2e-227)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y2 <= -6e-298)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y2 <= 1.62e-183)
		tmp = t_2;
	elseif (y2 <= 1.8e-39)
		tmp = j * ((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4))));
	elseif (y2 <= 7.8e+130)
		tmp = (y * b) * ((x * a) - (k * y4));
	else
		tmp = (x * y2) * ((c * y0) - (a * y1));
	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[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.04e+58], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.6e-47], t$95$2, If[LessEqual[y2, -4.2e-227], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6e-298], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.62e-183], t$95$2, If[LessEqual[y2, 1.8e-39], N[(j * N[(N[(t * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7.8e+130], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(x * y2), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -1.04e58

   1. Initial program 16.9%

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

   3. Simplified 25.4%

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

   4. Taylor expanded in y0 around inf 47.6%

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

      1. *-commutative 47.6%

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

      2. mul-1-neg 47.6%

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

      3. *-commutative 47.6%

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

      4. *-commutative 47.6%

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

   6. Simplified 47.6%

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

   7. Taylor expanded in c around inf 55.3%

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

   if -1.04e58 < y2 < -6.60000000000000007e-47 or -5.9999999999999999e-298 < y2 < 1.62e-183

   1. Initial program 20.1%

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

   3. Simplified 30.1%

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

   4. Taylor expanded in j around inf 40.9%

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

   5. Taylor expanded in t around inf 45.5%

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

   if -6.60000000000000007e-47 < y2 < -4.1999999999999999e-227

   1. Initial program 39.2%

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

   3. Simplified 39.2%

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

   4. Taylor expanded in z around -inf 46.9%

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

   5. Taylor expanded in y1 around inf 46.9%

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

      1. *-commutative 46.9%

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

      2. associate-*l* 51.6%

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

      3. cancel-sign-sub-inv 51.6%

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

      4. metadata-eval 51.6%

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

      5. *-lft-identity 51.6%

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

      6. +-commutative 51.6%

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

      7. mul-1-neg 51.6%

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

      8. unsub-neg 51.6%

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

   7. Simplified 51.6%

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

   if -4.1999999999999999e-227 < y2 < -5.9999999999999999e-298

   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 54.5%

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

   4. Taylor expanded in j around inf 46.1%

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

   5. Taylor expanded in x around inf 64.4%

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

   if 1.62e-183 < y2 < 1.8e-39

   1. Initial program 31.6%

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

   3. Simplified 35.1%

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

   4. Taylor expanded in j around inf 31.7%

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

   5. Taylor expanded in x around 0 48.8%

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

      1. *-commutative 48.8%

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

      2. +-commutative 48.8%

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

      3. mul-1-neg 48.8%

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

      4. *-commutative 48.8%

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

      5. unsub-neg 48.8%

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

      6. *-commutative 48.8%

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

   7. Simplified 48.8%

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

   if 1.8e-39 < y2 < 7.8000000000000004e130

   1. Initial program 39.1%

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

   3. Simplified 43.5%

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

   4. Taylor expanded in y around inf 53.1%

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

      1. mul-1-neg 53.1%

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

      2. *-commutative 53.1%

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

      3. *-commutative 53.1%

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

      4. *-commutative 53.1%

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

      5. *-commutative 53.1%

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

   6. Simplified 53.1%

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

   7. Taylor expanded in b around inf 53.5%

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

      1. associate-*r* 53.5%

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

      2. *-commutative 53.5%

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

      3. *-commutative 53.5%

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

   9. Simplified 53.5%

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

   if 7.8000000000000004e130 < y2

   1. Initial program 35.0%

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

   3. Simplified 35.0%

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

   4. Taylor expanded in y2 around inf 68.0%

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

   5. Taylor expanded in x around inf 56.6%

      \[\leadsto \color{blue}{\left(c \cdot y0 - y1 \cdot a\right) \cdot \left(x \cdot y2\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 52.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.04 \cdot 10^{+58}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.6 \cdot 10^{-47}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -4.2 \cdot 10^{-227}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -6 \cdot 10^{-298}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.62 \cdot 10^{-183}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.8 \cdot 10^{-39}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+130}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot y2\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \end{array} \]

Alternative 14: 30.9% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ t_2 := t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{if}\;y1 \leq -4.5 \cdot 10^{+228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+196}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.05 \cdot 10^{+144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -2.05 \cdot 10^{+70}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -9 \cdot 10^{-40}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y1 \leq -1.06 \cdot 10^{-252}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y1 \leq 1.45 \cdot 10^{-283}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 6.2 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 3.2 \cdot 10^{+111}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (* y1 (- (* k y2) (* j y3)))))
        (t_2 (* t (* j (- (* b y4) (* i y5))))))
   (if (<= y1 -4.5e+228)
     t_1
     (if (<= y1 -4e+196)
       (* y2 (* a (* t y5)))
       (if (<= y1 -1.05e+144)
         t_1
         (if (<= y1 -2.05e+70)
           (* j (* x (- (* i y1) (* b y0))))
           (if (<= y1 -9e-40)
             t_2
             (if (<= y1 -1.06e-252)
               (* (* y b) (- (* x a) (* k y4)))
               (if (<= y1 1.45e-283)
                 (* y4 (* t (- (* b j) (* c y2))))
                 (if (<= y1 6.2e+36)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (if (<= y1 3.2e+111) 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 = y4 * (y1 * ((k * y2) - (j * y3)));
	double t_2 = t * (j * ((b * y4) - (i * y5)));
	double tmp;
	if (y1 <= -4.5e+228) {
		tmp = t_1;
	} else if (y1 <= -4e+196) {
		tmp = y2 * (a * (t * y5));
	} else if (y1 <= -1.05e+144) {
		tmp = t_1;
	} else if (y1 <= -2.05e+70) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y1 <= -9e-40) {
		tmp = t_2;
	} else if (y1 <= -1.06e-252) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (y1 <= 1.45e-283) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (y1 <= 6.2e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 3.2e+111) {
		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 = y4 * (y1 * ((k * y2) - (j * y3)))
    t_2 = t * (j * ((b * y4) - (i * y5)))
    if (y1 <= (-4.5d+228)) then
        tmp = t_1
    else if (y1 <= (-4d+196)) then
        tmp = y2 * (a * (t * y5))
    else if (y1 <= (-1.05d+144)) then
        tmp = t_1
    else if (y1 <= (-2.05d+70)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y1 <= (-9d-40)) then
        tmp = t_2
    else if (y1 <= (-1.06d-252)) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (y1 <= 1.45d-283) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (y1 <= 6.2d+36) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y1 <= 3.2d+111) 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 = y4 * (y1 * ((k * y2) - (j * y3)));
	double t_2 = t * (j * ((b * y4) - (i * y5)));
	double tmp;
	if (y1 <= -4.5e+228) {
		tmp = t_1;
	} else if (y1 <= -4e+196) {
		tmp = y2 * (a * (t * y5));
	} else if (y1 <= -1.05e+144) {
		tmp = t_1;
	} else if (y1 <= -2.05e+70) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y1 <= -9e-40) {
		tmp = t_2;
	} else if (y1 <= -1.06e-252) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (y1 <= 1.45e-283) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (y1 <= 6.2e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 3.2e+111) {
		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 = y4 * (y1 * ((k * y2) - (j * y3)))
	t_2 = t * (j * ((b * y4) - (i * y5)))
	tmp = 0
	if y1 <= -4.5e+228:
		tmp = t_1
	elif y1 <= -4e+196:
		tmp = y2 * (a * (t * y5))
	elif y1 <= -1.05e+144:
		tmp = t_1
	elif y1 <= -2.05e+70:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y1 <= -9e-40:
		tmp = t_2
	elif y1 <= -1.06e-252:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif y1 <= 1.45e-283:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif y1 <= 6.2e+36:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y1 <= 3.2e+111:
		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(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))))
	t_2 = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))))
	tmp = 0.0
	if (y1 <= -4.5e+228)
		tmp = t_1;
	elseif (y1 <= -4e+196)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	elseif (y1 <= -1.05e+144)
		tmp = t_1;
	elseif (y1 <= -2.05e+70)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y1 <= -9e-40)
		tmp = t_2;
	elseif (y1 <= -1.06e-252)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (y1 <= 1.45e-283)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y1 <= 6.2e+36)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y1 <= 3.2e+111)
		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 = y4 * (y1 * ((k * y2) - (j * y3)));
	t_2 = t * (j * ((b * y4) - (i * y5)));
	tmp = 0.0;
	if (y1 <= -4.5e+228)
		tmp = t_1;
	elseif (y1 <= -4e+196)
		tmp = y2 * (a * (t * y5));
	elseif (y1 <= -1.05e+144)
		tmp = t_1;
	elseif (y1 <= -2.05e+70)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y1 <= -9e-40)
		tmp = t_2;
	elseif (y1 <= -1.06e-252)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (y1 <= 1.45e-283)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (y1 <= 6.2e+36)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y1 <= 3.2e+111)
		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[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -4.5e+228], t$95$1, If[LessEqual[y1, -4e+196], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.05e+144], t$95$1, If[LessEqual[y1, -2.05e+70], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -9e-40], t$95$2, If[LessEqual[y1, -1.06e-252], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.45e-283], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 6.2e+36], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.2e+111], t$95$2, t$95$1]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y1 < -4.49999999999999983e228 or -3.9999999999999998e196 < y1 < -1.04999999999999998e144 or 3.2000000000000001e111 < y1

   1. Initial program 27.3%

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

   3. Simplified 27.3%

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

   4. Taylor expanded in y4 around inf 50.4%

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

   5. Taylor expanded in y1 around inf 55.1%

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

   if -4.49999999999999983e228 < y1 < -3.9999999999999998e196

   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 y2 around inf 16.8%

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

   5. Taylor expanded in t around -inf 18.5%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 18.5%

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

      2. neg-mul-1 18.5%

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

   7. Simplified 18.5%

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

   8. Taylor expanded in c around 0 27.4%

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

      1. pow1 27.4%

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

   10. Applied egg-rr 27.4%

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

       1. unpow1 27.4%

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

       2. associate-*r* 43.3%

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

       3. associate-*r* 51.2%

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

   12. Simplified 51.2%

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

   if -1.04999999999999998e144 < y1 < -2.0500000000000001e70

   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 25.0%

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

   4. Taylor expanded in j around inf 33.9%

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

   5. Taylor expanded in x around inf 59.3%

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

   if -2.0500000000000001e70 < y1 < -9.0000000000000002e-40 or 6.1999999999999999e36 < y1 < 3.2000000000000001e111

   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%

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

   4. Taylor expanded in j around inf 48.7%

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

   5. Taylor expanded in t around inf 49.9%

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

   if -9.0000000000000002e-40 < y1 < -1.06e-252

   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 46.7%

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

   4. Taylor expanded in y around inf 51.5%

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

      1. mul-1-neg 51.5%

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

      2. *-commutative 51.5%

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

      3. *-commutative 51.5%

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

      4. *-commutative 51.5%

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

      5. *-commutative 51.5%

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

   6. Simplified 51.5%

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

   7. Taylor expanded in b around inf 49.9%

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

      1. associate-*r* 47.7%

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

      2. *-commutative 47.7%

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

      3. *-commutative 47.7%

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

   9. Simplified 47.7%

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

   if -1.06e-252 < y1 < 1.44999999999999994e-283

   1. Initial program 39.6%

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

   3. Simplified 39.6%

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

   4. Taylor expanded in y4 around inf 28.7%

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

   5. Taylor expanded in t around inf 56.5%

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

   if 1.44999999999999994e-283 < y1 < 6.1999999999999999e36

   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 35.4%

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

   4. Taylor expanded in y0 around inf 37.3%

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

      1. *-commutative 37.3%

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

      2. mul-1-neg 37.3%

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

      3. *-commutative 37.3%

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

      4. *-commutative 37.3%

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

   6. Simplified 37.3%

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

   7. Taylor expanded in c around inf 41.8%

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

4. Final simplification 49.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -4.5 \cdot 10^{+228}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+196}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.05 \cdot 10^{+144}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -2.05 \cdot 10^{+70}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -9 \cdot 10^{-40}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.06 \cdot 10^{-252}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y1 \leq 1.45 \cdot 10^{-283}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 6.2 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 3.2 \cdot 10^{+111}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 15: 30.5% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{if}\;y1 \leq -4.5 \cdot 10^{+228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+196}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -5.2 \cdot 10^{+143}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -3.3 \cdot 10^{+70}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{-39}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y1 \leq -9.6 \cdot 10^{-254}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y1 \leq 2.7 \cdot 10^{-291}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 4.5 \cdot 10^{+45}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 5.2 \cdot 10^{+110}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (* y1 (- (* k y2) (* j y3))))))
   (if (<= y1 -4.5e+228)
     t_1
     (if (<= y1 -4e+196)
       (* y2 (* a (* t y5)))
       (if (<= y1 -5.2e+143)
         t_1
         (if (<= y1 -3.3e+70)
           (* j (* x (- (* i y1) (* b y0))))
           (if (<= y1 -4.6e-39)
             (* (* y k) (- (* i y5) (* b y4)))
             (if (<= y1 -9.6e-254)
               (* (* y b) (- (* x a) (* k y4)))
               (if (<= y1 2.7e-291)
                 (* y4 (* t (- (* b j) (* c y2))))
                 (if (<= y1 4.5e+45)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (if (<= y1 5.2e+110)
                     (* t (* j (- (* b y4) (* i 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 = y4 * (y1 * ((k * y2) - (j * y3)));
	double tmp;
	if (y1 <= -4.5e+228) {
		tmp = t_1;
	} else if (y1 <= -4e+196) {
		tmp = y2 * (a * (t * y5));
	} else if (y1 <= -5.2e+143) {
		tmp = t_1;
	} else if (y1 <= -3.3e+70) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y1 <= -4.6e-39) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (y1 <= -9.6e-254) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (y1 <= 2.7e-291) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (y1 <= 4.5e+45) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 5.2e+110) {
		tmp = t * (j * ((b * y4) - (i * 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 = y4 * (y1 * ((k * y2) - (j * y3)))
    if (y1 <= (-4.5d+228)) then
        tmp = t_1
    else if (y1 <= (-4d+196)) then
        tmp = y2 * (a * (t * y5))
    else if (y1 <= (-5.2d+143)) then
        tmp = t_1
    else if (y1 <= (-3.3d+70)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y1 <= (-4.6d-39)) then
        tmp = (y * k) * ((i * y5) - (b * y4))
    else if (y1 <= (-9.6d-254)) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (y1 <= 2.7d-291) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (y1 <= 4.5d+45) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y1 <= 5.2d+110) then
        tmp = t * (j * ((b * y4) - (i * 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 = y4 * (y1 * ((k * y2) - (j * y3)));
	double tmp;
	if (y1 <= -4.5e+228) {
		tmp = t_1;
	} else if (y1 <= -4e+196) {
		tmp = y2 * (a * (t * y5));
	} else if (y1 <= -5.2e+143) {
		tmp = t_1;
	} else if (y1 <= -3.3e+70) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y1 <= -4.6e-39) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (y1 <= -9.6e-254) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (y1 <= 2.7e-291) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (y1 <= 4.5e+45) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 5.2e+110) {
		tmp = t * (j * ((b * y4) - (i * 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 = y4 * (y1 * ((k * y2) - (j * y3)))
	tmp = 0
	if y1 <= -4.5e+228:
		tmp = t_1
	elif y1 <= -4e+196:
		tmp = y2 * (a * (t * y5))
	elif y1 <= -5.2e+143:
		tmp = t_1
	elif y1 <= -3.3e+70:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y1 <= -4.6e-39:
		tmp = (y * k) * ((i * y5) - (b * y4))
	elif y1 <= -9.6e-254:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif y1 <= 2.7e-291:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif y1 <= 4.5e+45:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y1 <= 5.2e+110:
		tmp = t * (j * ((b * y4) - (i * 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(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))))
	tmp = 0.0
	if (y1 <= -4.5e+228)
		tmp = t_1;
	elseif (y1 <= -4e+196)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	elseif (y1 <= -5.2e+143)
		tmp = t_1;
	elseif (y1 <= -3.3e+70)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y1 <= -4.6e-39)
		tmp = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)));
	elseif (y1 <= -9.6e-254)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (y1 <= 2.7e-291)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y1 <= 4.5e+45)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y1 <= 5.2e+110)
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * 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 = y4 * (y1 * ((k * y2) - (j * y3)));
	tmp = 0.0;
	if (y1 <= -4.5e+228)
		tmp = t_1;
	elseif (y1 <= -4e+196)
		tmp = y2 * (a * (t * y5));
	elseif (y1 <= -5.2e+143)
		tmp = t_1;
	elseif (y1 <= -3.3e+70)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y1 <= -4.6e-39)
		tmp = (y * k) * ((i * y5) - (b * y4));
	elseif (y1 <= -9.6e-254)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (y1 <= 2.7e-291)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (y1 <= 4.5e+45)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y1 <= 5.2e+110)
		tmp = t * (j * ((b * y4) - (i * 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[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -4.5e+228], t$95$1, If[LessEqual[y1, -4e+196], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -5.2e+143], t$95$1, If[LessEqual[y1, -3.3e+70], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4.6e-39], N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -9.6e-254], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.7e-291], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 4.5e+45], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 5.2e+110], N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y1 < -4.49999999999999983e228 or -3.9999999999999998e196 < y1 < -5.1999999999999998e143 or 5.2e110 < y1

   1. Initial program 27.3%

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

   3. Simplified 27.3%

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

   4. Taylor expanded in y4 around inf 50.4%

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

   5. Taylor expanded in y1 around inf 55.1%

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

   if -4.49999999999999983e228 < y1 < -3.9999999999999998e196

   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 y2 around inf 16.8%

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

   5. Taylor expanded in t around -inf 18.5%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 18.5%

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

      2. neg-mul-1 18.5%

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

   7. Simplified 18.5%

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

   8. Taylor expanded in c around 0 27.4%

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

      1. pow1 27.4%

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

   10. Applied egg-rr 27.4%

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

       1. unpow1 27.4%

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

       2. associate-*r* 43.3%

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

       3. associate-*r* 51.2%

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

   12. Simplified 51.2%

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

   if -5.1999999999999998e143 < y1 < -3.30000000000000016e70

   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 25.0%

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

   4. Taylor expanded in j around inf 33.9%

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

   5. Taylor expanded in x around inf 59.3%

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

   if -3.30000000000000016e70 < y1 < -4.60000000000000016e-39

   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 41.5%

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

      1. mul-1-neg 41.5%

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

      2. *-commutative 41.5%

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

      3. *-commutative 41.5%

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

      4. *-commutative 41.5%

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

      5. *-commutative 41.5%

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

   6. Simplified 41.5%

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

   7. Taylor expanded in k around inf 35.2%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 35.0%

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

      2. *-commutative 35.0%

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

   9. Simplified 35.0%

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

   if -4.60000000000000016e-39 < y1 < -9.60000000000000007e-254

   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 46.7%

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

   4. Taylor expanded in y around inf 51.5%

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

      1. mul-1-neg 51.5%

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

      2. *-commutative 51.5%

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

      3. *-commutative 51.5%

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

      4. *-commutative 51.5%

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

      5. *-commutative 51.5%

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

   6. Simplified 51.5%

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

   7. Taylor expanded in b around inf 49.9%

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

      1. associate-*r* 47.7%

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

      2. *-commutative 47.7%

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

      3. *-commutative 47.7%

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

   9. Simplified 47.7%

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

   if -9.60000000000000007e-254 < y1 < 2.69999999999999992e-291

   1. Initial program 39.6%

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

   3. Simplified 39.6%

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

   4. Taylor expanded in y4 around inf 28.7%

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

   5. Taylor expanded in t around inf 56.5%

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

   if 2.69999999999999992e-291 < y1 < 4.4999999999999998e45

   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 35.4%

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

   4. Taylor expanded in y0 around inf 37.3%

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

      1. *-commutative 37.3%

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

      2. mul-1-neg 37.3%

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

      3. *-commutative 37.3%

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

      4. *-commutative 37.3%

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

   6. Simplified 37.3%

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

   7. Taylor expanded in c around inf 41.8%

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

   if 4.4999999999999998e45 < y1 < 5.2e110

   1. Initial program 14.2%

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

   3. Simplified 14.3%

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

   4. Taylor expanded in j around inf 57.2%

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

   5. Taylor expanded in t around inf 66.0%

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

4. Final simplification 49.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -4.5 \cdot 10^{+228}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+196}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -5.2 \cdot 10^{+143}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -3.3 \cdot 10^{+70}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{-39}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y1 \leq -9.6 \cdot 10^{-254}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y1 \leq 2.7 \cdot 10^{-291}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 4.5 \cdot 10^{+45}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 5.2 \cdot 10^{+110}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 16: 28.8% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ t_2 := \left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{if}\;y2 \leq -8 \cdot 10^{+52}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.2 \cdot 10^{-63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -4.4 \cdot 10^{-177}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -3.7 \cdot 10^{-303}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq 2 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 3.8 \cdot 10^{-131}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-70}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{-63}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+129}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot y2\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* j (- (* b y4) (* i y5)))))
        (t_2 (* (* y b) (- (* x a) (* k y4)))))
   (if (<= y2 -8e+52)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= y2 -6.2e-63)
       t_1
       (if (<= y2 -4.4e-177)
         (* y4 (* y1 (- (* k y2) (* j y3))))
         (if (<= y2 -3.7e-303)
           t_2
           (if (<= y2 2e-184)
             t_1
             (if (<= y2 3.8e-131)
               (* y4 (* j (- (* t b) (* y1 y3))))
               (if (<= y2 1.2e-70)
                 (* (* y k) (- (* i y5) (* b y4)))
                 (if (<= y2 1.25e-63)
                   (* c (* y4 (- (* y y3) (* t y2))))
                   (if (<= y2 3.4e+129)
                     t_2
                     (* (* x y2) (- (* c y0) (* a y1))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (j * ((b * y4) - (i * y5)));
	double t_2 = (y * b) * ((x * a) - (k * y4));
	double tmp;
	if (y2 <= -8e+52) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -6.2e-63) {
		tmp = t_1;
	} else if (y2 <= -4.4e-177) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -3.7e-303) {
		tmp = t_2;
	} else if (y2 <= 2e-184) {
		tmp = t_1;
	} else if (y2 <= 3.8e-131) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if (y2 <= 1.2e-70) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (y2 <= 1.25e-63) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y2 <= 3.4e+129) {
		tmp = t_2;
	} else {
		tmp = (x * y2) * ((c * y0) - (a * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = t * (j * ((b * y4) - (i * y5)))
    t_2 = (y * b) * ((x * a) - (k * y4))
    if (y2 <= (-8d+52)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-6.2d-63)) then
        tmp = t_1
    else if (y2 <= (-4.4d-177)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y2 <= (-3.7d-303)) then
        tmp = t_2
    else if (y2 <= 2d-184) then
        tmp = t_1
    else if (y2 <= 3.8d-131) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else if (y2 <= 1.2d-70) then
        tmp = (y * k) * ((i * y5) - (b * y4))
    else if (y2 <= 1.25d-63) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y2 <= 3.4d+129) then
        tmp = t_2
    else
        tmp = (x * y2) * ((c * y0) - (a * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (j * ((b * y4) - (i * y5)));
	double t_2 = (y * b) * ((x * a) - (k * y4));
	double tmp;
	if (y2 <= -8e+52) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -6.2e-63) {
		tmp = t_1;
	} else if (y2 <= -4.4e-177) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y2 <= -3.7e-303) {
		tmp = t_2;
	} else if (y2 <= 2e-184) {
		tmp = t_1;
	} else if (y2 <= 3.8e-131) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if (y2 <= 1.2e-70) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (y2 <= 1.25e-63) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y2 <= 3.4e+129) {
		tmp = t_2;
	} else {
		tmp = (x * y2) * ((c * y0) - (a * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (j * ((b * y4) - (i * y5)))
	t_2 = (y * b) * ((x * a) - (k * y4))
	tmp = 0
	if y2 <= -8e+52:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -6.2e-63:
		tmp = t_1
	elif y2 <= -4.4e-177:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y2 <= -3.7e-303:
		tmp = t_2
	elif y2 <= 2e-184:
		tmp = t_1
	elif y2 <= 3.8e-131:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	elif y2 <= 1.2e-70:
		tmp = (y * k) * ((i * y5) - (b * y4))
	elif y2 <= 1.25e-63:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y2 <= 3.4e+129:
		tmp = t_2
	else:
		tmp = (x * y2) * ((c * y0) - (a * y1))
	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(j * Float64(Float64(b * y4) - Float64(i * y5))))
	t_2 = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)))
	tmp = 0.0
	if (y2 <= -8e+52)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -6.2e-63)
		tmp = t_1;
	elseif (y2 <= -4.4e-177)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y2 <= -3.7e-303)
		tmp = t_2;
	elseif (y2 <= 2e-184)
		tmp = t_1;
	elseif (y2 <= 3.8e-131)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (y2 <= 1.2e-70)
		tmp = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)));
	elseif (y2 <= 1.25e-63)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y2 <= 3.4e+129)
		tmp = t_2;
	else
		tmp = Float64(Float64(x * y2) * Float64(Float64(c * y0) - Float64(a * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (j * ((b * y4) - (i * y5)));
	t_2 = (y * b) * ((x * a) - (k * y4));
	tmp = 0.0;
	if (y2 <= -8e+52)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -6.2e-63)
		tmp = t_1;
	elseif (y2 <= -4.4e-177)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y2 <= -3.7e-303)
		tmp = t_2;
	elseif (y2 <= 2e-184)
		tmp = t_1;
	elseif (y2 <= 3.8e-131)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	elseif (y2 <= 1.2e-70)
		tmp = (y * k) * ((i * y5) - (b * y4));
	elseif (y2 <= 1.25e-63)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y2 <= 3.4e+129)
		tmp = t_2;
	else
		tmp = (x * y2) * ((c * y0) - (a * y1));
	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[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -8e+52], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.2e-63], t$95$1, If[LessEqual[y2, -4.4e-177], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.7e-303], t$95$2, If[LessEqual[y2, 2e-184], t$95$1, If[LessEqual[y2, 3.8e-131], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.2e-70], N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.25e-63], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.4e+129], t$95$2, N[(N[(x * y2), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -7.9999999999999999e52

   1. Initial program 16.9%

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

   3. Simplified 25.4%

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

   4. Taylor expanded in y0 around inf 47.6%

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

      1. *-commutative 47.6%

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

      2. mul-1-neg 47.6%

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

      3. *-commutative 47.6%

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

      4. *-commutative 47.6%

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

   6. Simplified 47.6%

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

   7. Taylor expanded in c around inf 55.3%

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

   if -7.9999999999999999e52 < y2 < -6.19999999999999968e-63 or -3.7000000000000003e-303 < y2 < 2.0000000000000001e-184

   1. Initial program 21.0%

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

   3. Simplified 30.4%

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

   4. Taylor expanded in j around inf 40.4%

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

   5. Taylor expanded in t around inf 44.9%

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

   if -6.19999999999999968e-63 < y2 < -4.40000000000000023e-177

   1. Initial program 46.2%

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

   3. Simplified 46.2%

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

   4. Taylor expanded in y4 around inf 61.9%

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

   5. Taylor expanded in y1 around inf 50.8%

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

   if -4.40000000000000023e-177 < y2 < -3.7000000000000003e-303 or 1.25e-63 < y2 < 3.40000000000000018e129

   1. Initial program 37.3%

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

   3. Simplified 43.2%

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

   4. Taylor expanded in y around inf 50.1%

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

      1. mul-1-neg 50.1%

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

      2. *-commutative 50.1%

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

      3. *-commutative 50.1%

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

      4. *-commutative 50.1%

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

      5. *-commutative 50.1%

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

   6. Simplified 50.1%

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

   7. Taylor expanded in b around inf 48.2%

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

      1. associate-*r* 46.4%

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

      2. *-commutative 46.4%

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

      3. *-commutative 46.4%

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

   9. Simplified 46.4%

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

   if 2.0000000000000001e-184 < y2 < 3.79999999999999995e-131

   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 y4 around inf 50.5%

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

   5. Taylor expanded in j around -inf 60.8%

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

      1. associate-*r* 60.8%

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

      2. neg-mul-1 60.8%

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

      3. *-commutative 60.8%

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

      4. mul-1-neg 60.8%

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

      5. unsub-neg 60.8%

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

      6. *-commutative 60.8%

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

      7. *-commutative 60.8%

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

   7. Simplified 60.8%

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

   if 3.79999999999999995e-131 < y2 < 1.2000000000000001e-70

   1. Initial program 25.9%

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

   3. Simplified 51.0%

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

   4. Taylor expanded in y around inf 50.3%

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

      1. mul-1-neg 50.3%

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

      2. *-commutative 50.3%

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

      3. *-commutative 50.3%

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

      4. *-commutative 50.3%

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

      5. *-commutative 50.3%

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

   6. Simplified 50.3%

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

   7. Taylor expanded in k around inf 50.5%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 50.5%

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

      2. *-commutative 50.5%

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

   9. Simplified 50.5%

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

   if 1.2000000000000001e-70 < y2 < 1.25e-63

   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 c around inf 100.0%

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

   if 3.40000000000000018e129 < y2

   1. Initial program 35.0%

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

   3. Simplified 35.0%

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

   4. Taylor expanded in y2 around inf 68.0%

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

   5. Taylor expanded in x around inf 56.6%

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

4. Final simplification 51.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -8 \cdot 10^{+52}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -6.2 \cdot 10^{-63}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -4.4 \cdot 10^{-177}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -3.7 \cdot 10^{-303}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y2 \leq 2 \cdot 10^{-184}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 3.8 \cdot 10^{-131}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-70}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{-63}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+129}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot y2\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \end{array} \]

Alternative 17: 30.2% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -2.2 \cdot 10^{+87}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;a \leq -0.0052:\\ \;\;\;\;\left(c \cdot y2\right) \cdot \left(x \cdot y0\right)\\ \mathbf{elif}\;a \leq -6 \cdot 10^{-54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-165}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 27:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{+245} \lor \neg \left(a \leq 3.9 \cdot 10^{+300}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* a (- (* x b) (* y3 y5))))))
   (if (<= a -2.2e+87)
     (* (* a b) (- (* x y) (* z t)))
     (if (<= a -0.0052)
       (* (* c y2) (* x y0))
       (if (<= a -6e-54)
         t_1
         (if (<= a -9.5e-305)
           (* c (* y4 (- (* y y3) (* t y2))))
           (if (<= a 2.2e-165)
             (* j (* x (- (* i y1) (* b y0))))
             (if (<= a 27.0)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (or (<= a 2e+245) (not (<= a 3.9e+300)))
                 t_1
                 (* y4 (* y1 (- (* k y2) (* j y3)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * ((x * b) - (y3 * y5)));
	double tmp;
	if (a <= -2.2e+87) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (a <= -0.0052) {
		tmp = (c * y2) * (x * y0);
	} else if (a <= -6e-54) {
		tmp = t_1;
	} else if (a <= -9.5e-305) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= 2.2e-165) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (a <= 27.0) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if ((a <= 2e+245) || !(a <= 3.9e+300)) {
		tmp = t_1;
	} else {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (a * ((x * b) - (y3 * y5)))
    if (a <= (-2.2d+87)) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (a <= (-0.0052d0)) then
        tmp = (c * y2) * (x * y0)
    else if (a <= (-6d-54)) then
        tmp = t_1
    else if (a <= (-9.5d-305)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (a <= 2.2d-165) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (a <= 27.0d0) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if ((a <= 2d+245) .or. (.not. (a <= 3.9d+300))) then
        tmp = t_1
    else
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * ((x * b) - (y3 * y5)));
	double tmp;
	if (a <= -2.2e+87) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (a <= -0.0052) {
		tmp = (c * y2) * (x * y0);
	} else if (a <= -6e-54) {
		tmp = t_1;
	} else if (a <= -9.5e-305) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= 2.2e-165) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (a <= 27.0) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if ((a <= 2e+245) || !(a <= 3.9e+300)) {
		tmp = t_1;
	} else {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (a * ((x * b) - (y3 * y5)))
	tmp = 0
	if a <= -2.2e+87:
		tmp = (a * b) * ((x * y) - (z * t))
	elif a <= -0.0052:
		tmp = (c * y2) * (x * y0)
	elif a <= -6e-54:
		tmp = t_1
	elif a <= -9.5e-305:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif a <= 2.2e-165:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif a <= 27.0:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif (a <= 2e+245) or not (a <= 3.9e+300):
		tmp = t_1
	else:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))))
	tmp = 0.0
	if (a <= -2.2e+87)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (a <= -0.0052)
		tmp = Float64(Float64(c * y2) * Float64(x * y0));
	elseif (a <= -6e-54)
		tmp = t_1;
	elseif (a <= -9.5e-305)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (a <= 2.2e-165)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (a <= 27.0)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif ((a <= 2e+245) || !(a <= 3.9e+300))
		tmp = t_1;
	else
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (a * ((x * b) - (y3 * y5)));
	tmp = 0.0;
	if (a <= -2.2e+87)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (a <= -0.0052)
		tmp = (c * y2) * (x * y0);
	elseif (a <= -6e-54)
		tmp = t_1;
	elseif (a <= -9.5e-305)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (a <= 2.2e-165)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (a <= 27.0)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif ((a <= 2e+245) || ~((a <= 3.9e+300)))
		tmp = t_1;
	else
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.2e+87], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -0.0052], N[(N[(c * y2), $MachinePrecision] * N[(x * y0), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -6e-54], t$95$1, If[LessEqual[a, -9.5e-305], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.2e-165], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 27.0], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[a, 2e+245], N[Not[LessEqual[a, 3.9e+300]], $MachinePrecision]], t$95$1, N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -2.2000000000000001e87

   1. Initial program 24.5%

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

   3. Simplified 24.5%

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

   4. Taylor expanded in b around inf 41.1%

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

   5. Taylor expanded in a around inf 52.0%

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

      1. associate-*r* 53.9%

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

   7. Simplified 53.9%

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

   if -2.2000000000000001e87 < a < -0.0051999999999999998

   1. Initial program 9.1%

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

   3. Simplified 27.3%

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

   4. Taylor expanded in y0 around inf 72.9%

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

      1. *-commutative 72.9%

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

      2. mul-1-neg 72.9%

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

      3. *-commutative 72.9%

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

      4. *-commutative 72.9%

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

   6. Simplified 72.9%

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

   7. Taylor expanded in c around inf 55.7%

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

   8. Taylor expanded in x around inf 47.1%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 47.1%

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

      2. *-commutative 47.1%

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

      3. associate-*r* 55.5%

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

      4. associate-*l* 64.2%

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

   10. Simplified 64.2%

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

   if -0.0051999999999999998 < a < -6.00000000000000018e-54 or 27 < a < 2.00000000000000009e245 or 3.8999999999999999e300 < a

   1. Initial program 29.4%

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

   3. Simplified 39.0%

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

   4. Taylor expanded in y around inf 56.2%

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

      1. mul-1-neg 56.2%

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

      2. *-commutative 56.2%

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

      3. *-commutative 56.2%

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

      4. *-commutative 56.2%

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

      5. *-commutative 56.2%

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

   6. Simplified 56.2%

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

   7. Taylor expanded in a around inf 50.7%

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

      1. +-commutative 50.7%

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

      2. mul-1-neg 50.7%

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

      3. sub-neg 50.7%

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

   9. Simplified 50.7%

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

   if -6.00000000000000018e-54 < a < -9.49999999999999902e-305

   1. Initial program 42.6%

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

   3. Simplified 42.6%

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

   4. Taylor expanded in y4 around inf 39.0%

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

   5. Taylor expanded in c around inf 39.5%

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

   if -9.49999999999999902e-305 < a < 2.1999999999999999e-165

   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 29.6%

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

   4. Taylor expanded in j around inf 38.6%

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

   5. Taylor expanded in x around inf 39.1%

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

   if 2.1999999999999999e-165 < a < 27

   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 35.0%

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

   4. Taylor expanded in y0 around inf 50.5%

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

      1. *-commutative 50.5%

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

      2. mul-1-neg 50.5%

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

      3. *-commutative 50.5%

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

      4. *-commutative 50.5%

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

   6. Simplified 50.5%

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

   7. Taylor expanded in c around inf 46.3%

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

   if 2.00000000000000009e245 < a < 3.8999999999999999e300

   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 y4 around inf 48.2%

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

   5. Taylor expanded in y1 around inf 49.6%

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

4. Final simplification 47.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.2 \cdot 10^{+87}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;a \leq -0.0052:\\ \;\;\;\;\left(c \cdot y2\right) \cdot \left(x \cdot y0\right)\\ \mathbf{elif}\;a \leq -6 \cdot 10^{-54}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-165}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 27:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{+245} \lor \neg \left(a \leq 3.9 \cdot 10^{+300}\right):\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 18: 29.4% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ t_3 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -1750000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y5 \leq -9.5 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{-201}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{+60}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 3.15 \cdot 10^{+206}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{+283}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_2 (* a (* y (- (* x b) (* y3 y5)))))
        (t_3 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y5 -1750000000.0)
     t_2
     (if (<= y5 -9.5e-221)
       t_1
       (if (<= y5 3e-201)
         (* (* a b) (- (* x y) (* z t)))
         (if (<= y5 4e+17)
           t_1
           (if (<= y5 2.3e+60)
             t_3
             (if (<= y5 8.5e+92)
               t_1
               (if (<= y5 3.15e+206)
                 t_2
                 (if (<= y5 1.6e+283)
                   t_3
                   (* c (* y4 (- (* y y3) (* t y2))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y5 <= -1750000000.0) {
		tmp = t_2;
	} else if (y5 <= -9.5e-221) {
		tmp = t_1;
	} else if (y5 <= 3e-201) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y5 <= 4e+17) {
		tmp = t_1;
	} else if (y5 <= 2.3e+60) {
		tmp = t_3;
	} else if (y5 <= 8.5e+92) {
		tmp = t_1;
	} else if (y5 <= 3.15e+206) {
		tmp = t_2;
	} else if (y5 <= 1.6e+283) {
		tmp = t_3;
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    t_2 = a * (y * ((x * b) - (y3 * y5)))
    t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y5 <= (-1750000000.0d0)) then
        tmp = t_2
    else if (y5 <= (-9.5d-221)) then
        tmp = t_1
    else if (y5 <= 3d-201) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y5 <= 4d+17) then
        tmp = t_1
    else if (y5 <= 2.3d+60) then
        tmp = t_3
    else if (y5 <= 8.5d+92) then
        tmp = t_1
    else if (y5 <= 3.15d+206) then
        tmp = t_2
    else if (y5 <= 1.6d+283) then
        tmp = t_3
    else
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y5 <= -1750000000.0) {
		tmp = t_2;
	} else if (y5 <= -9.5e-221) {
		tmp = t_1;
	} else if (y5 <= 3e-201) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y5 <= 4e+17) {
		tmp = t_1;
	} else if (y5 <= 2.3e+60) {
		tmp = t_3;
	} else if (y5 <= 8.5e+92) {
		tmp = t_1;
	} else if (y5 <= 3.15e+206) {
		tmp = t_2;
	} else if (y5 <= 1.6e+283) {
		tmp = t_3;
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	t_2 = a * (y * ((x * b) - (y3 * y5)))
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y5 <= -1750000000.0:
		tmp = t_2
	elif y5 <= -9.5e-221:
		tmp = t_1
	elif y5 <= 3e-201:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y5 <= 4e+17:
		tmp = t_1
	elif y5 <= 2.3e+60:
		tmp = t_3
	elif y5 <= 8.5e+92:
		tmp = t_1
	elif y5 <= 3.15e+206:
		tmp = t_2
	elif y5 <= 1.6e+283:
		tmp = t_3
	else:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_2 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	t_3 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y5 <= -1750000000.0)
		tmp = t_2;
	elseif (y5 <= -9.5e-221)
		tmp = t_1;
	elseif (y5 <= 3e-201)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y5 <= 4e+17)
		tmp = t_1;
	elseif (y5 <= 2.3e+60)
		tmp = t_3;
	elseif (y5 <= 8.5e+92)
		tmp = t_1;
	elseif (y5 <= 3.15e+206)
		tmp = t_2;
	elseif (y5 <= 1.6e+283)
		tmp = t_3;
	else
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	t_2 = a * (y * ((x * b) - (y3 * y5)));
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y5 <= -1750000000.0)
		tmp = t_2;
	elseif (y5 <= -9.5e-221)
		tmp = t_1;
	elseif (y5 <= 3e-201)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y5 <= 4e+17)
		tmp = t_1;
	elseif (y5 <= 2.3e+60)
		tmp = t_3;
	elseif (y5 <= 8.5e+92)
		tmp = t_1;
	elseif (y5 <= 3.15e+206)
		tmp = t_2;
	elseif (y5 <= 1.6e+283)
		tmp = t_3;
	else
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1750000000.0], t$95$2, If[LessEqual[y5, -9.5e-221], t$95$1, If[LessEqual[y5, 3e-201], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4e+17], t$95$1, If[LessEqual[y5, 2.3e+60], t$95$3, If[LessEqual[y5, 8.5e+92], t$95$1, If[LessEqual[y5, 3.15e+206], t$95$2, If[LessEqual[y5, 1.6e+283], t$95$3, N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -1.75e9 or 8.5000000000000001e92 < y5 < 3.14999999999999998e206

   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 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 46.3%

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

      1. mul-1-neg 46.3%

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

      2. *-commutative 46.3%

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

      3. *-commutative 46.3%

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

      4. *-commutative 46.3%

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

      5. *-commutative 46.3%

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

   6. Simplified 46.3%

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

   7. Taylor expanded in a around -inf 45.3%

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

      1. associate-*r* 45.3%

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

      2. neg-mul-1 45.3%

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

      3. +-commutative 45.3%

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

      4. mul-1-neg 45.3%

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

      5. sub-neg 45.3%

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

   9. Simplified 45.3%

      \[\leadsto \color{blue}{\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   if -1.75e9 < y5 < -9.50000000000000022e-221 or 3.00000000000000002e-201 < y5 < 4e17 or 2.30000000000000017e60 < y5 < 8.5000000000000001e92

   1. Initial program 32.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 43.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 43.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 43.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 46.9%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -9.50000000000000022e-221 < y5 < 3.00000000000000002e-201

   1. Initial program 42.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 42.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 58.2%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 39.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 41.4%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   7. Simplified 41.4%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   if 4e17 < y5 < 2.30000000000000017e60 or 3.14999999999999998e206 < y5 < 1.60000000000000005e283

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 56.2%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in k around inf 74.4%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 74.4%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   7. Simplified 74.4%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]

   if 1.60000000000000005e283 < y5

   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 20.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 80.3%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 48.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1750000000:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -9.5 \cdot 10^{-221}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{-201}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+17}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{+60}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{+92}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 3.15 \cdot 10^{+206}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{+283}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]

Alternative 19: 32.2% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ t_2 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y \leq -1.12 \cdot 10^{+138}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3000000:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{-124}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{-30}:\\ \;\;\;\;\left(t \cdot y2\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;y \leq 1.16 \cdot 10^{+36}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{+55}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y \leq 3.9 \cdot 10^{+62}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+267}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* y k) (- (* i y5) (* b y4))))
        (t_2 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y -1.12e+138)
     t_1
     (if (<= y -3000000.0)
       (* a (* y (- (* x b) (* y3 y5))))
       (if (<= y 1.65e-124)
         t_2
         (if (<= y 1.5e-30)
           (* (* t y2) (- (* a y5) (* c y4)))
           (if (<= y 1.16e+36)
             t_2
             (if (<= y 5.6e+55)
               (* (* y b) (- (* x a) (* k y4)))
               (if (<= y 3.9e+62)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= y 7e+267)
                   t_1
                   (* c (* y (- (* y3 y4) (* x i))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * k) * ((i * y5) - (b * y4));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y <= -1.12e+138) {
		tmp = t_1;
	} else if (y <= -3000000.0) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (y <= 1.65e-124) {
		tmp = t_2;
	} else if (y <= 1.5e-30) {
		tmp = (t * y2) * ((a * y5) - (c * y4));
	} else if (y <= 1.16e+36) {
		tmp = t_2;
	} else if (y <= 5.6e+55) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (y <= 3.9e+62) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= 7e+267) {
		tmp = t_1;
	} else {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (y * k) * ((i * y5) - (b * y4))
    t_2 = c * (y0 * ((x * y2) - (z * y3)))
    if (y <= (-1.12d+138)) then
        tmp = t_1
    else if (y <= (-3000000.0d0)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (y <= 1.65d-124) then
        tmp = t_2
    else if (y <= 1.5d-30) then
        tmp = (t * y2) * ((a * y5) - (c * y4))
    else if (y <= 1.16d+36) then
        tmp = t_2
    else if (y <= 5.6d+55) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (y <= 3.9d+62) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y <= 7d+267) then
        tmp = t_1
    else
        tmp = c * (y * ((y3 * y4) - (x * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * k) * ((i * y5) - (b * y4));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y <= -1.12e+138) {
		tmp = t_1;
	} else if (y <= -3000000.0) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (y <= 1.65e-124) {
		tmp = t_2;
	} else if (y <= 1.5e-30) {
		tmp = (t * y2) * ((a * y5) - (c * y4));
	} else if (y <= 1.16e+36) {
		tmp = t_2;
	} else if (y <= 5.6e+55) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (y <= 3.9e+62) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= 7e+267) {
		tmp = t_1;
	} else {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y * k) * ((i * y5) - (b * y4))
	t_2 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y <= -1.12e+138:
		tmp = t_1
	elif y <= -3000000.0:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif y <= 1.65e-124:
		tmp = t_2
	elif y <= 1.5e-30:
		tmp = (t * y2) * ((a * y5) - (c * y4))
	elif y <= 1.16e+36:
		tmp = t_2
	elif y <= 5.6e+55:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif y <= 3.9e+62:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y <= 7e+267:
		tmp = t_1
	else:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)))
	t_2 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y <= -1.12e+138)
		tmp = t_1;
	elseif (y <= -3000000.0)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (y <= 1.65e-124)
		tmp = t_2;
	elseif (y <= 1.5e-30)
		tmp = Float64(Float64(t * y2) * Float64(Float64(a * y5) - Float64(c * y4)));
	elseif (y <= 1.16e+36)
		tmp = t_2;
	elseif (y <= 5.6e+55)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (y <= 3.9e+62)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y <= 7e+267)
		tmp = t_1;
	else
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y * k) * ((i * y5) - (b * y4));
	t_2 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y <= -1.12e+138)
		tmp = t_1;
	elseif (y <= -3000000.0)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (y <= 1.65e-124)
		tmp = t_2;
	elseif (y <= 1.5e-30)
		tmp = (t * y2) * ((a * y5) - (c * y4));
	elseif (y <= 1.16e+36)
		tmp = t_2;
	elseif (y <= 5.6e+55)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (y <= 3.9e+62)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y <= 7e+267)
		tmp = t_1;
	else
		tmp = c * (y * ((y3 * y4) - (x * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $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[y, -1.12e+138], t$95$1, If[LessEqual[y, -3000000.0], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.65e-124], t$95$2, If[LessEqual[y, 1.5e-30], N[(N[(t * y2), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.16e+36], t$95$2, If[LessEqual[y, 5.6e+55], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.9e+62], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7e+267], t$95$1, N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -1.12e138 or 3.9e62 < y < 6.9999999999999998e267

   1. Initial program 14.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 62.7%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 62.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 62.7%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 62.7%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 62.7%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 62.7%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 62.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in k around inf 51.9%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 51.8%

         \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(i \cdot y5 - y4 \cdot b\right)} \]

      2. *-commutative 51.8%

         \[\leadsto \left(k \cdot y\right) \cdot \left(\color{blue}{y5 \cdot i} - y4 \cdot b\right) \]

   9. Simplified 51.8%

      \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(y5 \cdot i - y4 \cdot b\right)} \]

   if -1.12e138 < y < -3e6

   1. Initial program 43.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 60.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 60.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 60.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 60.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 60.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 60.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 60.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in a around -inf 54.3%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 54.3%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(y \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      2. neg-mul-1 54.3%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(y \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right) \]

      3. +-commutative 54.3%

         \[\leadsto \left(-a\right) \cdot \left(y \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      4. mul-1-neg 54.3%

         \[\leadsto \left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      5. sub-neg 54.3%

         \[\leadsto \left(-a\right) \cdot \left(y \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

   9. Simplified 54.3%

      \[\leadsto \color{blue}{\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5 - b \cdot x\right)\right)} \]

   if -3e6 < y < 1.64999999999999992e-124 or 1.49999999999999995e-30 < y < 1.15999999999999998e36

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 42.5%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 42.5%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 44.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.64999999999999992e-124 < y < 1.49999999999999995e-30

   1. Initial program 54.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 54.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 42.2%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around inf 35.1%

      \[\leadsto \color{blue}{\left(a \cdot y5 - c \cdot y4\right) \cdot \left(t \cdot y2\right)} \]

   if 1.15999999999999998e36 < y < 5.6000000000000002e55

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 71.4%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 71.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 71.4%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 71.4%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 71.4%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 71.4%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 71.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in b around inf 58.8%

      \[\leadsto \color{blue}{y \cdot \left(b \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 58.8%

         \[\leadsto \color{blue}{\left(y \cdot b\right) \cdot \left(a \cdot x - k \cdot y4\right)} \]

      2. *-commutative 58.8%

         \[\leadsto \color{blue}{\left(b \cdot y\right)} \cdot \left(a \cdot x - k \cdot y4\right) \]

      3. *-commutative 58.8%

         \[\leadsto \left(b \cdot y\right) \cdot \left(a \cdot x - \color{blue}{y4 \cdot k}\right) \]

   9. Simplified 58.8%

      \[\leadsto \color{blue}{\left(b \cdot y\right) \cdot \left(a \cdot x - y4 \cdot k\right)} \]

   if 5.6000000000000002e55 < y < 3.9e62

   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 50.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 0.0%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]

   5. Taylor expanded in x around inf 100.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot i - y0 \cdot b\right) \cdot x\right)} \]

   if 6.9999999999999998e267 < y

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 65.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 65.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 65.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 65.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 65.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 65.1%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 65.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in c around -inf 72.0%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x + -1 \cdot \left(y4 \cdot y3\right)\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 72.0%

         \[\leadsto \color{blue}{\left(-1 \cdot c\right) \cdot \left(y \cdot \left(i \cdot x + -1 \cdot \left(y4 \cdot y3\right)\right)\right)} \]

      2. neg-mul-1 72.0%

         \[\leadsto \color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(i \cdot x + -1 \cdot \left(y4 \cdot y3\right)\right)\right) \]

      3. mul-1-neg 72.0%

         \[\leadsto \left(-c\right) \cdot \left(y \cdot \left(i \cdot x + \color{blue}{\left(-y4 \cdot y3\right)}\right)\right) \]

      4. unsub-neg 72.0%

         \[\leadsto \left(-c\right) \cdot \left(y \cdot \color{blue}{\left(i \cdot x - y4 \cdot y3\right)}\right) \]

      5. *-commutative 72.0%

         \[\leadsto \left(-c\right) \cdot \left(y \cdot \left(i \cdot x - \color{blue}{y3 \cdot y4}\right)\right) \]

   9. Simplified 72.0%

      \[\leadsto \color{blue}{\left(-c\right) \cdot \left(y \cdot \left(i \cdot x - y3 \cdot y4\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 49.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.12 \cdot 10^{+138}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y \leq -3000000:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{-124}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{-30}:\\ \;\;\;\;\left(t \cdot y2\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;y \leq 1.16 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{+55}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;y \leq 3.9 \cdot 10^{+62}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+267}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \end{array} \]

Alternative 20: 29.9% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -5.4 \cdot 10^{+58}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -3.05 \cdot 10^{-43}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -9 \cdot 10^{-238}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -6.2 \cdot 10^{-295}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.06 \cdot 10^{-231}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-63}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+130}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot y2\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -5.4e+58)
   (* c (* y0 (- (* x y2) (* z y3))))
   (if (<= y2 -3.05e-43)
     (* t (* j (- (* b y4) (* i y5))))
     (if (<= y2 -9e-238)
       (* y1 (* z (- (* a y3) (* i k))))
       (if (<= y2 -6.2e-295)
         (* j (* x (- (* i y1) (* b y0))))
         (if (<= y2 1.06e-231)
           (* y (* a (- (* x b) (* y3 y5))))
           (if (<= y2 1.2e-63)
             (* (* y k) (- (* i y5) (* b y4)))
             (if (<= y2 1.45e+130)
               (* (* y b) (- (* x a) (* k y4)))
               (* (* x y2) (- (* c y0) (* a y1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -5.4e+58) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -3.05e-43) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else if (y2 <= -9e-238) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y2 <= -6.2e-295) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 1.06e-231) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else if (y2 <= 1.2e-63) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (y2 <= 1.45e+130) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else {
		tmp = (x * y2) * ((c * y0) - (a * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-5.4d+58)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-3.05d-43)) then
        tmp = t * (j * ((b * y4) - (i * y5)))
    else if (y2 <= (-9d-238)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y2 <= (-6.2d-295)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y2 <= 1.06d-231) then
        tmp = y * (a * ((x * b) - (y3 * y5)))
    else if (y2 <= 1.2d-63) then
        tmp = (y * k) * ((i * y5) - (b * y4))
    else if (y2 <= 1.45d+130) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else
        tmp = (x * y2) * ((c * y0) - (a * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -5.4e+58) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -3.05e-43) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else if (y2 <= -9e-238) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y2 <= -6.2e-295) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 1.06e-231) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else if (y2 <= 1.2e-63) {
		tmp = (y * k) * ((i * y5) - (b * y4));
	} else if (y2 <= 1.45e+130) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else {
		tmp = (x * y2) * ((c * y0) - (a * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -5.4e+58:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -3.05e-43:
		tmp = t * (j * ((b * y4) - (i * y5)))
	elif y2 <= -9e-238:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y2 <= -6.2e-295:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y2 <= 1.06e-231:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	elif y2 <= 1.2e-63:
		tmp = (y * k) * ((i * y5) - (b * y4))
	elif y2 <= 1.45e+130:
		tmp = (y * b) * ((x * a) - (k * y4))
	else:
		tmp = (x * y2) * ((c * y0) - (a * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -5.4e+58)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -3.05e-43)
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y2 <= -9e-238)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y2 <= -6.2e-295)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y2 <= 1.06e-231)
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (y2 <= 1.2e-63)
		tmp = Float64(Float64(y * k) * Float64(Float64(i * y5) - Float64(b * y4)));
	elseif (y2 <= 1.45e+130)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	else
		tmp = Float64(Float64(x * y2) * Float64(Float64(c * y0) - Float64(a * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -5.4e+58)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -3.05e-43)
		tmp = t * (j * ((b * y4) - (i * y5)));
	elseif (y2 <= -9e-238)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y2 <= -6.2e-295)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y2 <= 1.06e-231)
		tmp = y * (a * ((x * b) - (y3 * y5)));
	elseif (y2 <= 1.2e-63)
		tmp = (y * k) * ((i * y5) - (b * y4));
	elseif (y2 <= 1.45e+130)
		tmp = (y * b) * ((x * a) - (k * y4));
	else
		tmp = (x * y2) * ((c * y0) - (a * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -5.4e+58], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.05e-43], N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -9e-238], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.2e-295], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.06e-231], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.2e-63], N[(N[(y * k), $MachinePrecision] * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.45e+130], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(x * y2), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -5.4000000000000002e58

   1. Initial program 16.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 47.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 47.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 47.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 55.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -5.4000000000000002e58 < y2 < -3.05000000000000019e-43

   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 22.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 45.7%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]

   5. Taylor expanded in t around inf 46.7%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]

   if -3.05000000000000019e-43 < y2 < -8.99999999999999992e-238

   1. Initial program 39.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 46.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in y1 around inf 46.9%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot \left(a \cdot y3\right) - -1 \cdot \left(k \cdot i\right)\right) \cdot \left(y1 \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.9%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(y1 \cdot z\right) \cdot \left(-1 \cdot \left(a \cdot y3\right) - -1 \cdot \left(k \cdot i\right)\right)\right)} \]

      2. associate-*l* 51.6%

         \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(z \cdot \left(-1 \cdot \left(a \cdot y3\right) - -1 \cdot \left(k \cdot i\right)\right)\right)\right)} \]

      3. cancel-sign-sub-inv 51.6%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(z \cdot \color{blue}{\left(-1 \cdot \left(a \cdot y3\right) + \left(--1\right) \cdot \left(k \cdot i\right)\right)}\right)\right) \]

      4. metadata-eval 51.6%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(z \cdot \left(-1 \cdot \left(a \cdot y3\right) + \color{blue}{1} \cdot \left(k \cdot i\right)\right)\right)\right) \]

      5. *-lft-identity 51.6%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(z \cdot \left(-1 \cdot \left(a \cdot y3\right) + \color{blue}{k \cdot i}\right)\right)\right) \]

      6. +-commutative 51.6%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(z \cdot \color{blue}{\left(k \cdot i + -1 \cdot \left(a \cdot y3\right)\right)}\right)\right) \]

      7. mul-1-neg 51.6%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(z \cdot \left(k \cdot i + \color{blue}{\left(-a \cdot y3\right)}\right)\right)\right) \]

      8. unsub-neg 51.6%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(z \cdot \color{blue}{\left(k \cdot i - a \cdot y3\right)}\right)\right) \]

   7. Simplified 51.6%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(z \cdot \left(k \cdot i - a \cdot y3\right)\right)\right)} \]

   if -8.99999999999999992e-238 < y2 < -6.2000000000000004e-295

   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 50.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 50.1%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]

   5. Taylor expanded in x around inf 70.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot i - y0 \cdot b\right) \cdot x\right)} \]

   if -6.2000000000000004e-295 < y2 < 1.0600000000000001e-231

   1. Initial program 23.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 59.2%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 59.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 59.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 59.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 59.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 59.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 59.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in a around inf 48.4%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. +-commutative 48.4%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 48.4%

         \[\leadsto y \cdot \left(a \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right)\right) \]

      3. sub-neg 48.4%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)}\right) \]

   9. Simplified 48.4%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if 1.0600000000000001e-231 < y2 < 1.2e-63

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 46.2%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 46.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 46.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 46.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 46.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 46.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in k around inf 40.8%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - y4 \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 40.8%

         \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(i \cdot y5 - y4 \cdot b\right)} \]

      2. *-commutative 40.8%

         \[\leadsto \left(k \cdot y\right) \cdot \left(\color{blue}{y5 \cdot i} - y4 \cdot b\right) \]

   9. Simplified 40.8%

      \[\leadsto \color{blue}{\left(k \cdot y\right) \cdot \left(y5 \cdot i - y4 \cdot b\right)} \]

   if 1.2e-63 < y2 < 1.45e130

   1. Initial program 38.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 49.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 49.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 49.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 49.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 49.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 49.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 49.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in b around inf 49.5%

      \[\leadsto \color{blue}{y \cdot \left(b \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 49.4%

         \[\leadsto \color{blue}{\left(y \cdot b\right) \cdot \left(a \cdot x - k \cdot y4\right)} \]

      2. *-commutative 49.4%

         \[\leadsto \color{blue}{\left(b \cdot y\right)} \cdot \left(a \cdot x - k \cdot y4\right) \]

      3. *-commutative 49.4%

         \[\leadsto \left(b \cdot y\right) \cdot \left(a \cdot x - \color{blue}{y4 \cdot k}\right) \]

   9. Simplified 49.4%

      \[\leadsto \color{blue}{\left(b \cdot y\right) \cdot \left(a \cdot x - y4 \cdot k\right)} \]

   if 1.45e130 < y2

   1. Initial program 35.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 68.0%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in x around inf 56.6%

      \[\leadsto \color{blue}{\left(c \cdot y0 - y1 \cdot a\right) \cdot \left(x \cdot y2\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 51.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -5.4 \cdot 10^{+58}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -3.05 \cdot 10^{-43}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -9 \cdot 10^{-238}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq -6.2 \cdot 10^{-295}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.06 \cdot 10^{-231}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{-63}:\\ \;\;\;\;\left(y \cdot k\right) \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+130}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot y2\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \end{array} \]

Alternative 21: 29.6% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{if}\;y \leq -190000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{+127}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{+149}:\\ \;\;\;\;z \cdot \left(y0 \cdot \left(b \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{+241} \lor \neg \left(y \leq 2.8 \cdot 10^{+260}\right):\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* a (- (* x b) (* y3 y5))))))
   (if (<= y -190000.0)
     t_1
     (if (<= y 3.4e+36)
       (* c (* y0 (- (* x y2) (* z y3))))
       (if (<= y 1.02e+127)
         (* k (* y0 (* y5 (- y2))))
         (if (<= y 1.12e+149)
           (* z (* y0 (* b k)))
           (if (or (<= y 3.6e+241) (not (<= y 2.8e+260)))
             (* c (* y4 (- (* y y3) (* t 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 = y * (a * ((x * b) - (y3 * y5)));
	double tmp;
	if (y <= -190000.0) {
		tmp = t_1;
	} else if (y <= 3.4e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 1.02e+127) {
		tmp = k * (y0 * (y5 * -y2));
	} else if (y <= 1.12e+149) {
		tmp = z * (y0 * (b * k));
	} else if ((y <= 3.6e+241) || !(y <= 2.8e+260)) {
		tmp = c * (y4 * ((y * y3) - (t * 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 = y * (a * ((x * b) - (y3 * y5)))
    if (y <= (-190000.0d0)) then
        tmp = t_1
    else if (y <= 3.4d+36) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y <= 1.02d+127) then
        tmp = k * (y0 * (y5 * -y2))
    else if (y <= 1.12d+149) then
        tmp = z * (y0 * (b * k))
    else if ((y <= 3.6d+241) .or. (.not. (y <= 2.8d+260))) then
        tmp = c * (y4 * ((y * y3) - (t * 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 = y * (a * ((x * b) - (y3 * y5)));
	double tmp;
	if (y <= -190000.0) {
		tmp = t_1;
	} else if (y <= 3.4e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 1.02e+127) {
		tmp = k * (y0 * (y5 * -y2));
	} else if (y <= 1.12e+149) {
		tmp = z * (y0 * (b * k));
	} else if ((y <= 3.6e+241) || !(y <= 2.8e+260)) {
		tmp = c * (y4 * ((y * y3) - (t * 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 = y * (a * ((x * b) - (y3 * y5)))
	tmp = 0
	if y <= -190000.0:
		tmp = t_1
	elif y <= 3.4e+36:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y <= 1.02e+127:
		tmp = k * (y0 * (y5 * -y2))
	elif y <= 1.12e+149:
		tmp = z * (y0 * (b * k))
	elif (y <= 3.6e+241) or not (y <= 2.8e+260):
		tmp = c * (y4 * ((y * y3) - (t * 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(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))))
	tmp = 0.0
	if (y <= -190000.0)
		tmp = t_1;
	elseif (y <= 3.4e+36)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y <= 1.02e+127)
		tmp = Float64(k * Float64(y0 * Float64(y5 * Float64(-y2))));
	elseif (y <= 1.12e+149)
		tmp = Float64(z * Float64(y0 * Float64(b * k)));
	elseif ((y <= 3.6e+241) || !(y <= 2.8e+260))
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * 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 = y * (a * ((x * b) - (y3 * y5)));
	tmp = 0.0;
	if (y <= -190000.0)
		tmp = t_1;
	elseif (y <= 3.4e+36)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y <= 1.02e+127)
		tmp = k * (y0 * (y5 * -y2));
	elseif (y <= 1.12e+149)
		tmp = z * (y0 * (b * k));
	elseif ((y <= 3.6e+241) || ~((y <= 2.8e+260)))
		tmp = c * (y4 * ((y * y3) - (t * 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[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -190000.0], t$95$1, If[LessEqual[y, 3.4e+36], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.02e+127], N[(k * N[(y0 * N[(y5 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.12e+149], N[(z * N[(y0 * N[(b * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y, 3.6e+241], N[Not[LessEqual[y, 2.8e+260]], $MachinePrecision]], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -1.9e5 or 3.59999999999999983e241 < y < 2.7999999999999998e260

   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 36.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 70.0%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 70.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 70.0%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 70.0%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 70.0%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 70.0%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 70.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in a around inf 49.1%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. +-commutative 49.1%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 49.1%

         \[\leadsto y \cdot \left(a \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right)\right) \]

      3. sub-neg 49.1%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)}\right) \]

   9. Simplified 49.1%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -1.9e5 < y < 3.3999999999999998e36

   1. Initial program 33.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 41.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 42.5%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 42.5%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 39.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 3.3999999999999998e36 < y < 1.02e127

   1. Initial program 15.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   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 y0 around inf 40.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 40.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 40.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 40.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 40.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 40.7%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around 0 50.5%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 50.5%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right)} \]

      2. neg-mul-1 50.5%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right) \]

      3. *-commutative 50.5%

         \[\leadsto \left(-k\right) \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \]

   10. Simplified 50.5%

       \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

   if 1.02e127 < y < 1.11999999999999992e149

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   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 67.5%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 67.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 67.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 67.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 67.5%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 67.5%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 57.0%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 45.9%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 45.9%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 45.9%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 45.9%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 45.9%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 45.9%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in k around inf 34.3%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(b \cdot z\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 34.3%

          \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(b \cdot z\right)} \]

   12. Simplified 34.3%

       \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(b \cdot z\right)} \]

   13. Taylor expanded in k around 0 34.3%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(b \cdot z\right)\right)} \]
   14. Step-by-step derivation

       1. associate-*r* 34.3%

          \[\leadsto k \cdot \color{blue}{\left(\left(y0 \cdot b\right) \cdot z\right)} \]

       2. associate-*r* 34.3%

          \[\leadsto \color{blue}{\left(k \cdot \left(y0 \cdot b\right)\right) \cdot z} \]

       3. *-commutative 34.3%

          \[\leadsto \color{blue}{z \cdot \left(k \cdot \left(y0 \cdot b\right)\right)} \]

       4. *-commutative 34.3%

          \[\leadsto z \cdot \color{blue}{\left(\left(y0 \cdot b\right) \cdot k\right)} \]

       5. associate-*l* 45.0%

          \[\leadsto z \cdot \color{blue}{\left(y0 \cdot \left(b \cdot k\right)\right)} \]

   15. Simplified 45.0%

       \[\leadsto \color{blue}{z \cdot \left(y0 \cdot \left(b \cdot k\right)\right)} \]

   if 1.11999999999999992e149 < y < 3.59999999999999983e241 or 2.7999999999999998e260 < y

   1. Initial program 21.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 42.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 58.5%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 45.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -190000:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{+127}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{+149}:\\ \;\;\;\;z \cdot \left(y0 \cdot \left(b \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{+241} \lor \neg \left(y \leq 2.8 \cdot 10^{+260}\right):\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]

Alternative 22: 27.7% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ t_2 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y2 \leq -4.6 \cdot 10^{+54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -1.45 \cdot 10^{-54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq -3.6 \cdot 10^{-189}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 9.6 \cdot 10^{-185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+95}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* j (- (* b y4) (* i y5)))))
        (t_2 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y2 -4.6e+54)
     t_2
     (if (<= y2 -1.45e-54)
       t_1
       (if (<= y2 -3.6e-189)
         t_2
         (if (<= y2 -5.8e-297)
           (* j (* x (- (* i y1) (* b y0))))
           (if (<= y2 9.6e-185)
             t_1
             (if (<= y2 7.8e+95)
               (* y0 (* y5 (* j y3)))
               (* k (* y2 (- (* y1 y4) (* y0 y5))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (j * ((b * y4) - (i * y5)));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y2 <= -4.6e+54) {
		tmp = t_2;
	} else if (y2 <= -1.45e-54) {
		tmp = t_1;
	} else if (y2 <= -3.6e-189) {
		tmp = t_2;
	} else if (y2 <= -5.8e-297) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 9.6e-185) {
		tmp = t_1;
	} else if (y2 <= 7.8e+95) {
		tmp = y0 * (y5 * (j * y3));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = t * (j * ((b * y4) - (i * y5)))
    t_2 = c * (y0 * ((x * y2) - (z * y3)))
    if (y2 <= (-4.6d+54)) then
        tmp = t_2
    else if (y2 <= (-1.45d-54)) then
        tmp = t_1
    else if (y2 <= (-3.6d-189)) then
        tmp = t_2
    else if (y2 <= (-5.8d-297)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y2 <= 9.6d-185) then
        tmp = t_1
    else if (y2 <= 7.8d+95) then
        tmp = y0 * (y5 * (j * y3))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (j * ((b * y4) - (i * y5)));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y2 <= -4.6e+54) {
		tmp = t_2;
	} else if (y2 <= -1.45e-54) {
		tmp = t_1;
	} else if (y2 <= -3.6e-189) {
		tmp = t_2;
	} else if (y2 <= -5.8e-297) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y2 <= 9.6e-185) {
		tmp = t_1;
	} else if (y2 <= 7.8e+95) {
		tmp = y0 * (y5 * (j * y3));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (j * ((b * y4) - (i * y5)))
	t_2 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y2 <= -4.6e+54:
		tmp = t_2
	elif y2 <= -1.45e-54:
		tmp = t_1
	elif y2 <= -3.6e-189:
		tmp = t_2
	elif y2 <= -5.8e-297:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y2 <= 9.6e-185:
		tmp = t_1
	elif y2 <= 7.8e+95:
		tmp = y0 * (y5 * (j * y3))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))))
	t_2 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y2 <= -4.6e+54)
		tmp = t_2;
	elseif (y2 <= -1.45e-54)
		tmp = t_1;
	elseif (y2 <= -3.6e-189)
		tmp = t_2;
	elseif (y2 <= -5.8e-297)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y2 <= 9.6e-185)
		tmp = t_1;
	elseif (y2 <= 7.8e+95)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (j * ((b * y4) - (i * y5)));
	t_2 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y2 <= -4.6e+54)
		tmp = t_2;
	elseif (y2 <= -1.45e-54)
		tmp = t_1;
	elseif (y2 <= -3.6e-189)
		tmp = t_2;
	elseif (y2 <= -5.8e-297)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y2 <= 9.6e-185)
		tmp = t_1;
	elseif (y2 <= 7.8e+95)
		tmp = y0 * (y5 * (j * y3));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $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[y2, -4.6e+54], t$95$2, If[LessEqual[y2, -1.45e-54], t$95$1, If[LessEqual[y2, -3.6e-189], t$95$2, If[LessEqual[y2, -5.8e-297], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.6e-185], t$95$1, If[LessEqual[y2, 7.8e+95], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -4.59999999999999988e54 or -1.45000000000000007e-54 < y2 < -3.60000000000000017e-189

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 45.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 45.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 45.2%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 50.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -4.59999999999999988e54 < y2 < -1.45000000000000007e-54 or -5.79999999999999979e-297 < y2 < 9.6000000000000005e-185

   1. Initial program 21.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]

   5. Taylor expanded in t around inf 45.7%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]

   if -3.60000000000000017e-189 < y2 < -5.79999999999999979e-297

   1. Initial program 31.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 42.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 43.1%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]

   5. Taylor expanded in x around inf 43.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot i - y0 \cdot b\right) \cdot x\right)} \]

   if 9.6000000000000005e-185 < y2 < 7.7999999999999994e95

   1. Initial program 35.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 29.8%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 29.8%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 27.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 29.8%

      \[\leadsto y0 \cdot \left(\color{blue}{\left(y3 \cdot j\right)} \cdot y5\right) \]

   if 7.7999999999999994e95 < y2

   1. Initial program 34.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 66.5%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in k around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.6%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   7. Simplified 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.6 \cdot 10^{+54}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.45 \cdot 10^{-54}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.6 \cdot 10^{-189}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-297}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 9.6 \cdot 10^{-185}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 7.8 \cdot 10^{+95}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]

Alternative 23: 29.6% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;y \leq -2.2 \cdot 10^{+171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -21.5:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+111}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= y -2.2e+171)
     t_1
     (if (<= y -21.5)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= y -1e-109)
         t_1
         (if (<= y 1e+36)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= y 5.8e+111) (* k (* y0 (* y5 (- 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 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y <= -2.2e+171) {
		tmp = t_1;
	} else if (y <= -21.5) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= -1e-109) {
		tmp = t_1;
	} else if (y <= 1e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 5.8e+111) {
		tmp = k * (y0 * (y5 * -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 = c * (y4 * ((y * y3) - (t * y2)))
    if (y <= (-2.2d+171)) then
        tmp = t_1
    else if (y <= (-21.5d0)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y <= (-1d-109)) then
        tmp = t_1
    else if (y <= 1d+36) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y <= 5.8d+111) then
        tmp = k * (y0 * (y5 * -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 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y <= -2.2e+171) {
		tmp = t_1;
	} else if (y <= -21.5) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= -1e-109) {
		tmp = t_1;
	} else if (y <= 1e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 5.8e+111) {
		tmp = k * (y0 * (y5 * -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 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if y <= -2.2e+171:
		tmp = t_1
	elif y <= -21.5:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y <= -1e-109:
		tmp = t_1
	elif y <= 1e+36:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y <= 5.8e+111:
		tmp = k * (y0 * (y5 * -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(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (y <= -2.2e+171)
		tmp = t_1;
	elseif (y <= -21.5)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y <= -1e-109)
		tmp = t_1;
	elseif (y <= 1e+36)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y <= 5.8e+111)
		tmp = Float64(k * Float64(y0 * Float64(y5 * Float64(-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 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (y <= -2.2e+171)
		tmp = t_1;
	elseif (y <= -21.5)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y <= -1e-109)
		tmp = t_1;
	elseif (y <= 1e+36)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y <= 5.8e+111)
		tmp = k * (y0 * (y5 * -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[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.2e+171], t$95$1, If[LessEqual[y, -21.5], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1e-109], t$95$1, If[LessEqual[y, 1e+36], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.8e+111], N[(k * N[(y0 * N[(y5 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 4 regimes

2. if y < -2.1999999999999999e171 or -21.5 < y < -9.9999999999999999e-110 or 5.7999999999999999e111 < y

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 46.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 48.7%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -2.1999999999999999e171 < y < -21.5

   1. Initial program 38.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \mathsf{fma}\left(x \cdot y2 - z \cdot y3, c \cdot y0 - a \cdot y1, \left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \mathsf{fma}\left(x, j, z \cdot \left(-k\right)\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 35.7%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]

   5. Taylor expanded in x around inf 30.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(y1 \cdot i - y0 \cdot b\right) \cdot x\right)} \]

   if -9.9999999999999999e-110 < y < 1.00000000000000004e36

   1. Initial program 32.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 38.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.00000000000000004e36 < y < 5.7999999999999999e111

   1. Initial program 15.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 42.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 42.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 42.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around 0 47.9%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 47.9%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right)} \]

      2. neg-mul-1 47.9%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right) \]

      3. *-commutative 47.9%

         \[\leadsto \left(-k\right) \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \]

   10. Simplified 47.9%

       \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.2 \cdot 10^{+171}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq -21.5:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-109}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+111}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]

Alternative 24: 31.2% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -14000:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{-107}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+39}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{+100}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+108}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -14000.0)
   (* y (* a (- (* x b) (* y3 y5))))
   (if (<= y 1.02e-107)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= y 3.4e+39)
       (* y4 (* y1 (- (* k y2) (* j y3))))
       (if (<= y 1.6e+100)
         (* y4 (* t (- (* b j) (* c y2))))
         (if (<= y 2.3e+108)
           (* y0 (* k (* y5 (- y2))))
           (* c (* y4 (- (* y y3) (* t y2))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -14000.0) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else if (y <= 1.02e-107) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 3.4e+39) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y <= 1.6e+100) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (y <= 2.3e+108) {
		tmp = y0 * (k * (y5 * -y2));
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-14000.0d0)) then
        tmp = y * (a * ((x * b) - (y3 * y5)))
    else if (y <= 1.02d-107) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y <= 3.4d+39) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (y <= 1.6d+100) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (y <= 2.3d+108) then
        tmp = y0 * (k * (y5 * -y2))
    else
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -14000.0) {
		tmp = y * (a * ((x * b) - (y3 * y5)));
	} else if (y <= 1.02e-107) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 3.4e+39) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (y <= 1.6e+100) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (y <= 2.3e+108) {
		tmp = y0 * (k * (y5 * -y2));
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -14000.0:
		tmp = y * (a * ((x * b) - (y3 * y5)))
	elif y <= 1.02e-107:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y <= 3.4e+39:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif y <= 1.6e+100:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif y <= 2.3e+108:
		tmp = y0 * (k * (y5 * -y2))
	else:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -14000.0)
		tmp = Float64(y * Float64(a * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (y <= 1.02e-107)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y <= 3.4e+39)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (y <= 1.6e+100)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y <= 2.3e+108)
		tmp = Float64(y0 * Float64(k * Float64(y5 * Float64(-y2))));
	else
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -14000.0)
		tmp = y * (a * ((x * b) - (y3 * y5)));
	elseif (y <= 1.02e-107)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y <= 3.4e+39)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (y <= 1.6e+100)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (y <= 2.3e+108)
		tmp = y0 * (k * (y5 * -y2));
	else
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -14000.0], N[(y * N[(a * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.02e-107], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.4e+39], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.6e+100], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.3e+108], N[(y0 * N[(k * N[(y5 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -14000

   1. Initial program 31.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 67.3%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 67.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. *-commutative 67.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(\color{blue}{b \cdot a} - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. *-commutative 67.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - \color{blue}{i \cdot c}\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 67.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(\color{blue}{y4 \cdot c} - a \cdot y5\right)\right)\right) \]

      5. *-commutative 67.3%

         \[\leadsto y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - \color{blue}{y5 \cdot a}\right)\right)\right) \]

   6. Simplified 67.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(b \cdot a - i \cdot c\right) \cdot x + y3 \cdot \left(y4 \cdot c - y5 \cdot a\right)\right)\right)} \]

   7. Taylor expanded in a around inf 46.3%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto y \cdot \left(a \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right)\right) \]

      3. sub-neg 46.3%

         \[\leadsto y \cdot \left(a \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)}\right) \]

   9. Simplified 46.3%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -14000 < y < 1.02e-107

   1. Initial program 27.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   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 y0 around inf 41.7%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 41.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 41.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 41.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 41.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 41.7%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 42.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.02e-107 < y < 3.3999999999999999e39

   1. Initial program 48.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 48.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 43.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 43.3%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   if 3.3999999999999999e39 < y < 1.5999999999999999e100

   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 y4 around inf 13.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 47.2%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   if 1.5999999999999999e100 < y < 2.2999999999999999e108

   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 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around 0 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y5 \cdot y2\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y5 \cdot y2\right)\right)} \]

      2. neg-mul-1 100.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y5 \cdot y2\right)\right) \]

      3. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(-k\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \]

   10. Simplified 100.0%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(-k\right) \cdot \left(y2 \cdot y5\right)\right)} \]

   if 2.2999999999999999e108 < y

   1. Initial program 21.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 42.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 48.8%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 45.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -14000:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{-107}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+39}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{+100}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+108}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]

Alternative 25: 29.7% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;y \leq -1.7 \cdot 10^{-107}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.4 \cdot 10^{+108}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= y -1.7e-107)
     t_1
     (if (<= y 2.4e+36)
       (* c (* y0 (- (* x y2) (* z y3))))
       (if (<= y 5.4e+108) (* k (* y0 (* y5 (- 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 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y <= -1.7e-107) {
		tmp = t_1;
	} else if (y <= 2.4e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 5.4e+108) {
		tmp = k * (y0 * (y5 * -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 = c * (y4 * ((y * y3) - (t * y2)))
    if (y <= (-1.7d-107)) then
        tmp = t_1
    else if (y <= 2.4d+36) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y <= 5.4d+108) then
        tmp = k * (y0 * (y5 * -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 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (y <= -1.7e-107) {
		tmp = t_1;
	} else if (y <= 2.4e+36) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y <= 5.4e+108) {
		tmp = k * (y0 * (y5 * -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 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if y <= -1.7e-107:
		tmp = t_1
	elif y <= 2.4e+36:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y <= 5.4e+108:
		tmp = k * (y0 * (y5 * -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(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (y <= -1.7e-107)
		tmp = t_1;
	elseif (y <= 2.4e+36)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y <= 5.4e+108)
		tmp = Float64(k * Float64(y0 * Float64(y5 * Float64(-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 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (y <= -1.7e-107)
		tmp = t_1;
	elseif (y <= 2.4e+36)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y <= 5.4e+108)
		tmp = k * (y0 * (y5 * -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[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.7e-107], t$95$1, If[LessEqual[y, 2.4e+36], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.4e+108], N[(k * N[(y0 * N[(y5 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y < -1.69999999999999997e-107 or 5.4e108 < y

   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 y4 around inf 42.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 40.3%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -1.69999999999999997e-107 < y < 2.39999999999999992e36

   1. Initial program 32.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 38.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 2.39999999999999992e36 < y < 5.4e108

   1. Initial program 15.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 42.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 42.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 42.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 42.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around 0 47.9%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 47.9%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right)} \]

      2. neg-mul-1 47.9%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y5 \cdot y2\right)\right) \]

      3. *-commutative 47.9%

         \[\leadsto \left(-k\right) \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \]

   10. Simplified 47.9%

       \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 40.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.7 \cdot 10^{-107}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+36}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 5.4 \cdot 10^{+108}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]

Alternative 26: 22.8% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{if}\;t \leq -0.00135:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{-173}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+132}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y2 (* t y5)))))
   (if (<= t -0.00135)
     t_1
     (if (<= t 3.6e-173)
       (* k (* y0 (* z b)))
       (if (<= t 6.5e-85)
         (* y0 (* j (* y3 y5)))
         (if (<= t 3.8e+132) (* 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 * (y2 * (t * y5));
	double tmp;
	if (t <= -0.00135) {
		tmp = t_1;
	} else if (t <= 3.6e-173) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 6.5e-85) {
		tmp = y0 * (j * (y3 * y5));
	} else if (t <= 3.8e+132) {
		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 * (y2 * (t * y5))
    if (t <= (-0.00135d0)) then
        tmp = t_1
    else if (t <= 3.6d-173) then
        tmp = k * (y0 * (z * b))
    else if (t <= 6.5d-85) then
        tmp = y0 * (j * (y3 * y5))
    else if (t <= 3.8d+132) 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 * (y2 * (t * y5));
	double tmp;
	if (t <= -0.00135) {
		tmp = t_1;
	} else if (t <= 3.6e-173) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 6.5e-85) {
		tmp = y0 * (j * (y3 * y5));
	} else if (t <= 3.8e+132) {
		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 * (y2 * (t * y5))
	tmp = 0
	if t <= -0.00135:
		tmp = t_1
	elif t <= 3.6e-173:
		tmp = k * (y0 * (z * b))
	elif t <= 6.5e-85:
		tmp = y0 * (j * (y3 * y5))
	elif t <= 3.8e+132:
		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(y2 * Float64(t * y5)))
	tmp = 0.0
	if (t <= -0.00135)
		tmp = t_1;
	elseif (t <= 3.6e-173)
		tmp = Float64(k * Float64(y0 * Float64(z * b)));
	elseif (t <= 6.5e-85)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (t <= 3.8e+132)
		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 * (y2 * (t * y5));
	tmp = 0.0;
	if (t <= -0.00135)
		tmp = t_1;
	elseif (t <= 3.6e-173)
		tmp = k * (y0 * (z * b));
	elseif (t <= 6.5e-85)
		tmp = y0 * (j * (y3 * y5));
	elseif (t <= 3.8e+132)
		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[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -0.00135], t$95$1, If[LessEqual[t, 3.6e-173], N[(k * N[(y0 * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.5e-85], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.8e+132], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if t < -0.0013500000000000001 or 3.80000000000000006e132 < t

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 37.6%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 40.2%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 40.2%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 40.2%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 40.2%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 37.4%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 39.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

   10. Simplified 39.3%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y5\right) \cdot y2\right)} \]

   if -0.0013500000000000001 < t < 3.59999999999999972e-173

   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 43.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.7%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 39.7%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 33.6%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 33.6%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in b around inf 30.8%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)} \]

   if 3.59999999999999972e-173 < t < 6.5e-85

   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 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 46.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 46.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 46.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 46.3%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 46.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 36.7%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(j \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 36.7%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j\right) \cdot y5\right)} \]

      2. *-commutative 36.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(j \cdot y3\right)} \cdot y5\right) \]

      3. associate-*l* 36.7%

         \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   10. Simplified 36.7%

       \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if 6.5e-85 < t < 3.80000000000000006e132

   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 26.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 36.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Taylor expanded in x around inf 30.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -0.00135:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{-173}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+132}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \end{array} \]

Alternative 27: 22.7% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{if}\;t \leq -0.0052:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-164}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{+131}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y2 (* t y5)))))
   (if (<= t -0.0052)
     t_1
     (if (<= t 9.8e-164)
       (* k (* y0 (* z b)))
       (if (<= t 1.45e-85)
         (* y0 (* y3 (* j y5)))
         (if (<= t 2.3e+131) (* 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 * (y2 * (t * y5));
	double tmp;
	if (t <= -0.0052) {
		tmp = t_1;
	} else if (t <= 9.8e-164) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.45e-85) {
		tmp = y0 * (y3 * (j * y5));
	} else if (t <= 2.3e+131) {
		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 * (y2 * (t * y5))
    if (t <= (-0.0052d0)) then
        tmp = t_1
    else if (t <= 9.8d-164) then
        tmp = k * (y0 * (z * b))
    else if (t <= 1.45d-85) then
        tmp = y0 * (y3 * (j * y5))
    else if (t <= 2.3d+131) 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 * (y2 * (t * y5));
	double tmp;
	if (t <= -0.0052) {
		tmp = t_1;
	} else if (t <= 9.8e-164) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.45e-85) {
		tmp = y0 * (y3 * (j * y5));
	} else if (t <= 2.3e+131) {
		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 * (y2 * (t * y5))
	tmp = 0
	if t <= -0.0052:
		tmp = t_1
	elif t <= 9.8e-164:
		tmp = k * (y0 * (z * b))
	elif t <= 1.45e-85:
		tmp = y0 * (y3 * (j * y5))
	elif t <= 2.3e+131:
		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(y2 * Float64(t * y5)))
	tmp = 0.0
	if (t <= -0.0052)
		tmp = t_1;
	elseif (t <= 9.8e-164)
		tmp = Float64(k * Float64(y0 * Float64(z * b)));
	elseif (t <= 1.45e-85)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	elseif (t <= 2.3e+131)
		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 * (y2 * (t * y5));
	tmp = 0.0;
	if (t <= -0.0052)
		tmp = t_1;
	elseif (t <= 9.8e-164)
		tmp = k * (y0 * (z * b));
	elseif (t <= 1.45e-85)
		tmp = y0 * (y3 * (j * y5));
	elseif (t <= 2.3e+131)
		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[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -0.0052], t$95$1, If[LessEqual[t, 9.8e-164], N[(k * N[(y0 * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.45e-85], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.3e+131], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if t < -0.0051999999999999998 or 2.29999999999999992e131 < t

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 37.6%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 40.2%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 40.2%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 40.2%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 40.2%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 37.4%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 39.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

   10. Simplified 39.3%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y5\right) \cdot y2\right)} \]

   if -0.0051999999999999998 < t < 9.7999999999999993e-164

   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 43.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 36.3%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.7%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 32.7%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in b around inf 30.1%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)} \]

   if 9.7999999999999993e-164 < t < 1.4500000000000001e-85

   1. Initial program 23.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 48.0%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 42.8%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if 1.4500000000000001e-85 < t < 2.29999999999999992e131

   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 26.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 36.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Taylor expanded in x around inf 30.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -0.0052:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 9.8 \cdot 10^{-164}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{+131}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \end{array} \]

Alternative 28: 22.7% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq -0.00046:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-165}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.22 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.12 \cdot 10^{+130}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= t -0.00046)
   (* a (* y2 (* t y5)))
   (if (<= t 5.5e-165)
     (* k (* y0 (* z b)))
     (if (<= t 1.22e-85)
       (* y0 (* y3 (* j y5)))
       (if (<= t 1.12e+130) (* c (* y0 (* x y2))) (* y2 (* a (* t y5))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -0.00046) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= 5.5e-165) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.22e-85) {
		tmp = y0 * (y3 * (j * y5));
	} else if (t <= 1.12e+130) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = y2 * (a * (t * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (t <= (-0.00046d0)) then
        tmp = a * (y2 * (t * y5))
    else if (t <= 5.5d-165) then
        tmp = k * (y0 * (z * b))
    else if (t <= 1.22d-85) then
        tmp = y0 * (y3 * (j * y5))
    else if (t <= 1.12d+130) then
        tmp = c * (y0 * (x * y2))
    else
        tmp = y2 * (a * (t * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -0.00046) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= 5.5e-165) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.22e-85) {
		tmp = y0 * (y3 * (j * y5));
	} else if (t <= 1.12e+130) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = y2 * (a * (t * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if t <= -0.00046:
		tmp = a * (y2 * (t * y5))
	elif t <= 5.5e-165:
		tmp = k * (y0 * (z * b))
	elif t <= 1.22e-85:
		tmp = y0 * (y3 * (j * y5))
	elif t <= 1.12e+130:
		tmp = c * (y0 * (x * y2))
	else:
		tmp = y2 * (a * (t * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (t <= -0.00046)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (t <= 5.5e-165)
		tmp = Float64(k * Float64(y0 * Float64(z * b)));
	elseif (t <= 1.22e-85)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	elseif (t <= 1.12e+130)
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	else
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (t <= -0.00046)
		tmp = a * (y2 * (t * y5));
	elseif (t <= 5.5e-165)
		tmp = k * (y0 * (z * b));
	elseif (t <= 1.22e-85)
		tmp = y0 * (y3 * (j * y5));
	elseif (t <= 1.12e+130)
		tmp = c * (y0 * (x * y2));
	else
		tmp = y2 * (a * (t * 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[t, -0.00046], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 5.5e-165], N[(k * N[(y0 * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.22e-85], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.12e+130], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -4.6000000000000001e-4

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 36.5%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 37.1%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.1%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 37.1%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 37.1%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 38.4%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 39.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

   10. Simplified 39.6%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y5\right) \cdot y2\right)} \]

   if -4.6000000000000001e-4 < t < 5.49999999999999969e-165

   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 43.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 36.3%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.7%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 32.7%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in b around inf 30.1%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)} \]

   if 5.49999999999999969e-165 < t < 1.22000000000000006e-85

   1. Initial program 23.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 48.0%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 42.8%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if 1.22000000000000006e-85 < t < 1.1199999999999999e130

   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 26.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 36.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Taylor expanded in x around inf 30.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]

   if 1.1199999999999999e130 < t

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 41.6%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 51.2%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 51.2%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 51.2%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 51.2%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 33.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. pow1 33.8%

         \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

   10. Applied egg-rr 33.8%

       \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]
   11. Step-by-step derivation

       1. unpow1 33.8%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

       2. associate-*r* 38.1%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

       3. associate-*r* 42.2%

          \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right) \cdot y2} \]

   12. Simplified 42.2%

       \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right) \cdot y2} \]
3. Recombined 5 regimes into one program.

4. Final simplification 34.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -0.00046:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-165}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.22 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.12 \cdot 10^{+130}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \end{array} \]

Alternative 29: 22.5% accurate, 6.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq -0.0032:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.28 \cdot 10^{-163}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-32}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(c \cdot \left(t \cdot \left(-y2\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= t -0.0032)
   (* a (* y2 (* t y5)))
   (if (<= t 1.28e-163)
     (* k (* y0 (* z b)))
     (if (<= t 1.5e-32) (* y0 (* y3 (* j y5))) (* y4 (* c (* t (- y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -0.0032) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= 1.28e-163) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.5e-32) {
		tmp = y0 * (y3 * (j * y5));
	} else {
		tmp = y4 * (c * (t * -y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (t <= (-0.0032d0)) then
        tmp = a * (y2 * (t * y5))
    else if (t <= 1.28d-163) then
        tmp = k * (y0 * (z * b))
    else if (t <= 1.5d-32) then
        tmp = y0 * (y3 * (j * y5))
    else
        tmp = y4 * (c * (t * -y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -0.0032) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= 1.28e-163) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.5e-32) {
		tmp = y0 * (y3 * (j * y5));
	} else {
		tmp = y4 * (c * (t * -y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if t <= -0.0032:
		tmp = a * (y2 * (t * y5))
	elif t <= 1.28e-163:
		tmp = k * (y0 * (z * b))
	elif t <= 1.5e-32:
		tmp = y0 * (y3 * (j * y5))
	else:
		tmp = y4 * (c * (t * -y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (t <= -0.0032)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (t <= 1.28e-163)
		tmp = Float64(k * Float64(y0 * Float64(z * b)));
	elseif (t <= 1.5e-32)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	else
		tmp = Float64(y4 * Float64(c * Float64(t * Float64(-y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (t <= -0.0032)
		tmp = a * (y2 * (t * y5));
	elseif (t <= 1.28e-163)
		tmp = k * (y0 * (z * b));
	elseif (t <= 1.5e-32)
		tmp = y0 * (y3 * (j * y5));
	else
		tmp = y4 * (c * (t * -y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[t, -0.0032], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.28e-163], N[(k * N[(y0 * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.5e-32], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(c * N[(t * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if t < -0.00320000000000000015

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 36.5%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 37.1%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.1%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 37.1%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 37.1%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 38.4%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 39.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

   10. Simplified 39.6%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y5\right) \cdot y2\right)} \]

   if -0.00320000000000000015 < t < 1.28e-163

   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 43.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 36.3%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.7%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 32.7%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in b around inf 30.1%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)} \]

   if 1.28e-163 < t < 1.5e-32

   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%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 46.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 46.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 46.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 46.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 46.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 46.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 41.2%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 36.7%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if 1.5e-32 < t

   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 y4 around inf 36.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 40.7%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 35.2%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 35.2%

         \[\leadsto y4 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(t \cdot y2\right)\right)} \]

      2. neg-mul-1 35.2%

         \[\leadsto y4 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(t \cdot y2\right)\right) \]

   8. Simplified 35.2%

      \[\leadsto y4 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(t \cdot y2\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -0.0032:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.28 \cdot 10^{-163}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-32}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(c \cdot \left(t \cdot \left(-y2\right)\right)\right)\\ \end{array} \]

Alternative 30: 24.2% accurate, 6.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -2.9 \cdot 10^{-190}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 7 \cdot 10^{-185}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 8.6 \cdot 10^{+95}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -2.9e-190)
   (* c (* y0 (- (* x y2) (* z y3))))
   (if (<= y2 7e-185)
     (* t (* y4 (* b j)))
     (if (<= y2 8.6e+95) (* y0 (* y5 (* j y3))) (* y0 (* k (* y5 (- y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.9e-190) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= 7e-185) {
		tmp = t * (y4 * (b * j));
	} else if (y2 <= 8.6e+95) {
		tmp = y0 * (y5 * (j * y3));
	} else {
		tmp = y0 * (k * (y5 * -y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-2.9d-190)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= 7d-185) then
        tmp = t * (y4 * (b * j))
    else if (y2 <= 8.6d+95) then
        tmp = y0 * (y5 * (j * y3))
    else
        tmp = y0 * (k * (y5 * -y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.9e-190) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= 7e-185) {
		tmp = t * (y4 * (b * j));
	} else if (y2 <= 8.6e+95) {
		tmp = y0 * (y5 * (j * y3));
	} else {
		tmp = y0 * (k * (y5 * -y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -2.9e-190:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= 7e-185:
		tmp = t * (y4 * (b * j))
	elif y2 <= 8.6e+95:
		tmp = y0 * (y5 * (j * y3))
	else:
		tmp = y0 * (k * (y5 * -y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -2.9e-190)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= 7e-185)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	elseif (y2 <= 8.6e+95)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	else
		tmp = Float64(y0 * Float64(k * Float64(y5 * Float64(-y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -2.9e-190)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= 7e-185)
		tmp = t * (y4 * (b * j));
	elseif (y2 <= 8.6e+95)
		tmp = y0 * (y5 * (j * y3));
	else
		tmp = y0 * (k * (y5 * -y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -2.9e-190], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 7e-185], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 8.6e+95], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(k * N[(y5 * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y2 < -2.9000000000000002e-190

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   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 y0 around inf 42.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 42.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 42.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 42.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 42.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 42.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 42.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -2.9000000000000002e-190 < y2 < 6.9999999999999996e-185

   1. Initial program 28.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 38.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 23.2%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 19.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 19.4%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j\right)\right) \cdot y4} \]

      2. associate-*l* 27.6%

         \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4\right)} \]

   8. Simplified 27.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4\right)} \]

   if 6.9999999999999996e-185 < y2 < 8.6e95

   1. Initial program 35.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 29.8%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 29.8%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 29.8%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 27.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 29.8%

      \[\leadsto y0 \cdot \left(\color{blue}{\left(y3 \cdot j\right)} \cdot y5\right) \]

   if 8.6e95 < y2

   1. Initial program 34.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   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 y0 around inf 45.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 45.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 45.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 39.6%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around 0 41.7%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y5 \cdot y2\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 41.7%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y5 \cdot y2\right)\right)} \]

      2. neg-mul-1 41.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y5 \cdot y2\right)\right) \]

      3. *-commutative 41.7%

         \[\leadsto y0 \cdot \left(\left(-k\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right) \]

   10. Simplified 41.7%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(-k\right) \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 37.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.9 \cdot 10^{-190}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 7 \cdot 10^{-185}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 8.6 \cdot 10^{+95}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y5 \cdot \left(-y2\right)\right)\right)\\ \end{array} \]

Alternative 31: 22.9% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{if}\;t \leq -0.00152:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{-174}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 4.9 \cdot 10^{+126}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y2 (* t y5)))))
   (if (<= t -0.00152)
     t_1
     (if (<= t 7.2e-174)
       (* k (* y0 (* z b)))
       (if (<= t 4.9e+126) (* 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 * (y2 * (t * y5));
	double tmp;
	if (t <= -0.00152) {
		tmp = t_1;
	} else if (t <= 7.2e-174) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 4.9e+126) {
		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 * (y2 * (t * y5))
    if (t <= (-0.00152d0)) then
        tmp = t_1
    else if (t <= 7.2d-174) then
        tmp = k * (y0 * (z * b))
    else if (t <= 4.9d+126) 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 * (y2 * (t * y5));
	double tmp;
	if (t <= -0.00152) {
		tmp = t_1;
	} else if (t <= 7.2e-174) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 4.9e+126) {
		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 * (y2 * (t * y5))
	tmp = 0
	if t <= -0.00152:
		tmp = t_1
	elif t <= 7.2e-174:
		tmp = k * (y0 * (z * b))
	elif t <= 4.9e+126:
		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(y2 * Float64(t * y5)))
	tmp = 0.0
	if (t <= -0.00152)
		tmp = t_1;
	elseif (t <= 7.2e-174)
		tmp = Float64(k * Float64(y0 * Float64(z * b)));
	elseif (t <= 4.9e+126)
		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 * (y2 * (t * y5));
	tmp = 0.0;
	if (t <= -0.00152)
		tmp = t_1;
	elseif (t <= 7.2e-174)
		tmp = k * (y0 * (z * b));
	elseif (t <= 4.9e+126)
		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[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -0.00152], t$95$1, If[LessEqual[t, 7.2e-174], N[(k * N[(y0 * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4.9e+126], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if t < -0.0015200000000000001 or 4.90000000000000001e126 < t

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 37.6%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 40.2%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 40.2%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 40.2%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 40.2%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 37.4%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 39.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

   10. Simplified 39.3%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y5\right) \cdot y2\right)} \]

   if -0.0015200000000000001 < t < 7.19999999999999997e-174

   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 43.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.7%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 39.7%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 39.7%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 33.6%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 33.6%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 33.6%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in b around inf 30.8%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)} \]

   if 7.19999999999999997e-174 < t < 4.90000000000000001e126

   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 27.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 40.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 40.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 40.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 32.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Taylor expanded in x around inf 23.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 32.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -0.00152:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{-174}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 4.9 \cdot 10^{+126}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \end{array} \]

Alternative 32: 19.7% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq -0.0056:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-165}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y2\right) \cdot \left(x \cdot y0\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= t -0.0056)
   (* a (* y2 (* t y5)))
   (if (<= t 9.5e-165)
     (* k (* y0 (* z b)))
     (if (<= t 1.4e-85) (* y0 (* y3 (* j y5))) (* (* c y2) (* x y0))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -0.0056) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= 9.5e-165) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.4e-85) {
		tmp = y0 * (y3 * (j * y5));
	} else {
		tmp = (c * y2) * (x * y0);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (t <= (-0.0056d0)) then
        tmp = a * (y2 * (t * y5))
    else if (t <= 9.5d-165) then
        tmp = k * (y0 * (z * b))
    else if (t <= 1.4d-85) then
        tmp = y0 * (y3 * (j * y5))
    else
        tmp = (c * y2) * (x * y0)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -0.0056) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= 9.5e-165) {
		tmp = k * (y0 * (z * b));
	} else if (t <= 1.4e-85) {
		tmp = y0 * (y3 * (j * y5));
	} else {
		tmp = (c * y2) * (x * y0);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if t <= -0.0056:
		tmp = a * (y2 * (t * y5))
	elif t <= 9.5e-165:
		tmp = k * (y0 * (z * b))
	elif t <= 1.4e-85:
		tmp = y0 * (y3 * (j * y5))
	else:
		tmp = (c * y2) * (x * y0)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (t <= -0.0056)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (t <= 9.5e-165)
		tmp = Float64(k * Float64(y0 * Float64(z * b)));
	elseif (t <= 1.4e-85)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	else
		tmp = Float64(Float64(c * y2) * Float64(x * y0));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (t <= -0.0056)
		tmp = a * (y2 * (t * y5));
	elseif (t <= 9.5e-165)
		tmp = k * (y0 * (z * b));
	elseif (t <= 1.4e-85)
		tmp = y0 * (y3 * (j * y5));
	else
		tmp = (c * y2) * (x * y0);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[t, -0.0056], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 9.5e-165], N[(k * N[(y0 * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.4e-85], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(c * y2), $MachinePrecision] * N[(x * y0), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if t < -0.00559999999999999994

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 36.5%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 37.1%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.1%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 37.1%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 37.1%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 38.4%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 39.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y5\right) \cdot y2\right)} \]

   10. Simplified 39.6%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y5\right) \cdot y2\right)} \]

   if -0.00559999999999999994 < t < 9.49999999999999973e-165

   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 43.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 39.6%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in z around inf 36.3%

      \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.7%

         \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot y3\right) + k \cdot b\right)} \]

      2. +-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b + -1 \cdot \left(c \cdot y3\right)\right)} \]

      3. mul-1-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b + \color{blue}{\left(-c \cdot y3\right)}\right) \]

      4. sub-neg 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \color{blue}{\left(k \cdot b - c \cdot y3\right)} \]

      5. *-commutative 32.7%

         \[\leadsto \left(y0 \cdot z\right) \cdot \left(k \cdot b - \color{blue}{y3 \cdot c}\right) \]

   9. Simplified 32.7%

      \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(k \cdot b - y3 \cdot c\right)} \]

   10. Taylor expanded in b around inf 30.1%

       \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)} \]

   if 9.49999999999999973e-165 < t < 1.40000000000000008e-85

   1. Initial program 23.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in y5 around inf 48.0%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j - k \cdot y2\right) \cdot y5\right)} \]

   8. Taylor expanded in y3 around inf 42.8%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if 1.40000000000000008e-85 < t

   1. Initial program 22.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 44.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 44.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 44.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 44.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 44.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 44.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 31.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Taylor expanded in x around inf 24.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 24.4%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y2 \cdot x\right)\right) \cdot c} \]

      2. *-commutative 24.4%

         \[\leadsto \left(y0 \cdot \color{blue}{\left(x \cdot y2\right)}\right) \cdot c \]

      3. associate-*r* 22.6%

         \[\leadsto \color{blue}{\left(\left(y0 \cdot x\right) \cdot y2\right)} \cdot c \]

      4. associate-*l* 31.4%

         \[\leadsto \color{blue}{\left(y0 \cdot x\right) \cdot \left(y2 \cdot c\right)} \]

   10. Simplified 31.4%

       \[\leadsto \color{blue}{\left(y0 \cdot x\right) \cdot \left(y2 \cdot c\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -0.0056:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-165}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-85}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot y2\right) \cdot \left(x \cdot y0\right)\\ \end{array} \]

Alternative 33: 22.9% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -2.15 \cdot 10^{+97} \lor \neg \left(y5 \leq 3 \cdot 10^{+94}\right):\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y5 -2.15e+97) (not (<= y5 3e+94)))
   (* a (* t (* y2 y5)))
   (* c (* y0 (* x y2)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y5 <= -2.15e+97) || !(y5 <= 3e+94)) {
		tmp = a * (t * (y2 * y5));
	} else {
		tmp = c * (y0 * (x * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((y5 <= (-2.15d+97)) .or. (.not. (y5 <= 3d+94))) then
        tmp = a * (t * (y2 * y5))
    else
        tmp = c * (y0 * (x * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y5 <= -2.15e+97) || !(y5 <= 3e+94)) {
		tmp = a * (t * (y2 * y5));
	} else {
		tmp = c * (y0 * (x * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (y5 <= -2.15e+97) or not (y5 <= 3e+94):
		tmp = a * (t * (y2 * y5))
	else:
		tmp = c * (y0 * (x * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((y5 <= -2.15e+97) || !(y5 <= 3e+94))
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	else
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((y5 <= -2.15e+97) || ~((y5 <= 3e+94)))
		tmp = a * (t * (y2 * y5));
	else
		tmp = c * (y0 * (x * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[y5, -2.15e+97], N[Not[LessEqual[y5, 3e+94]], $MachinePrecision]], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y5 < -2.1499999999999999e97 or 3.0000000000000001e94 < y5

   1. Initial program 18.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 35.4%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   5. Taylor expanded in t around -inf 34.6%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 34.6%

         \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

      2. neg-mul-1 34.6%

         \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   7. Simplified 34.6%

      \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   8. Taylor expanded in c around 0 40.6%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   if -2.1499999999999999e97 < y5 < 3.0000000000000001e94

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.9%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 40.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 40.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) + \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      2. mul-1-neg 40.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\color{blue}{\left(-y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      3. *-commutative 40.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right)\right) + \left(k \cdot z - j \cdot x\right) \cdot b\right)\right) \]

      4. *-commutative 40.0%

         \[\leadsto y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \color{blue}{b \cdot \left(k \cdot z - j \cdot x\right)}\right)\right) \]

   6. Simplified 40.0%

      \[\leadsto \color{blue}{y0 \cdot \left(c \cdot \left(y2 \cdot x - y3 \cdot z\right) + \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]

   7. Taylor expanded in c around inf 35.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Taylor expanded in x around inf 25.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 30.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.15 \cdot 10^{+97} \lor \neg \left(y5 \leq 3 \cdot 10^{+94}\right):\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \end{array} \]

Alternative 34: 17.6% 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 29.0%

   \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

4. Taylor expanded in y2 around inf 38.6%

   \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

5. Taylor expanded in t around -inf 27.1%

   \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
6. Step-by-step derivation

   1. associate-*r* 27.1%

      \[\leadsto \color{blue}{\left(-1 \cdot t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   2. neg-mul-1 27.1%

      \[\leadsto \color{blue}{\left(-t\right)} \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

7. Simplified 27.1%

   \[\leadsto \color{blue}{\left(-t\right) \cdot \left(y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

8. Taylor expanded in c around 0 19.2%

   \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

9. Final simplification 19.2%

   \[\leadsto a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \]

Developer target: 27.5% 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 2023185 
(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)))))