Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.1% → 42.7%

Time: 2.1min

Alternatives: 44

Speedup: 4.9×

• 89.1% 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: 30.1% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 42.7% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := t \cdot y2 - y \cdot y3\\ t_3 := y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ t_4 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_5 := y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{if}\;b \leq -2.05 \cdot 10^{+132}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{+31}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.9 \cdot 10^{-109}:\\ \;\;\;\;\left(j \cdot y3\right) \cdot t_1 + t_2 \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-198}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-308}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot t_2 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{-171}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-64}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{+41}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{+66}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t_1 + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (- (* t y2) (* y y3)))
        (t_3
         (*
          y
          (+
           (* k (- (* i y5) (* b y4)))
           (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5)))))))
        (t_4
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_5
         (*
          y1
          (+
           (* a (- (* z y3) (* x y2)))
           (+ (* i (- (* x j) (* z k))) (* y4 (- (* k y2) (* j y3))))))))
   (if (<= b -2.05e+132)
     t_4
     (if (<= b -9.5e+31)
       t_3
       (if (<= b -3.9e-109)
         (+ (* (* j y3) t_1) (* t_2 (- (* a y5) (* c y4))))
         (if (<= b -3.6e-198)
           (*
            z
            (+
             (* y3 (- (* a y1) (* c y0)))
             (+ (* k (- (* b y0) (* i y1))) (* t (- (* c i) (* a b))))))
           (if (<= b -1.6e-308)
             (*
              y5
              (+
               (* i (- (* y k) (* t j)))
               (+ (* a t_2) (* y0 (- (* j y3) (* k y2))))))
             (if (<= b 1.05e-171)
               t_3
               (if (<= b 7.5e-64)
                 t_5
                 (if (<= b 6.5e-36)
                   (* z (* a (- (* y1 y3) (* t b))))
                   (if (<= b 1.05e+41)
                     t_5
                     (if (<= b 1.55e+66)
                       (*
                        j
                        (+
                         (+ (* y3 t_1) (* t (- (* b y4) (* i y5))))
                         (* x (- (* i y1) (* b y0)))))
                       t_4))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_5 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * ((k * y2) - (j * y3)))));
	double tmp;
	if (b <= -2.05e+132) {
		tmp = t_4;
	} else if (b <= -9.5e+31) {
		tmp = t_3;
	} else if (b <= -3.9e-109) {
		tmp = ((j * y3) * t_1) + (t_2 * ((a * y5) - (c * y4)));
	} else if (b <= -3.6e-198) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))));
	} else if (b <= -1.6e-308) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))));
	} else if (b <= 1.05e-171) {
		tmp = t_3;
	} else if (b <= 7.5e-64) {
		tmp = t_5;
	} else if (b <= 6.5e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.05e+41) {
		tmp = t_5;
	} else if (b <= 1.55e+66) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (y0 * y5) - (y1 * y4)
    t_2 = (t * y2) - (y * y3)
    t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_5 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * ((k * y2) - (j * y3)))))
    if (b <= (-2.05d+132)) then
        tmp = t_4
    else if (b <= (-9.5d+31)) then
        tmp = t_3
    else if (b <= (-3.9d-109)) then
        tmp = ((j * y3) * t_1) + (t_2 * ((a * y5) - (c * y4)))
    else if (b <= (-3.6d-198)) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))))
    else if (b <= (-1.6d-308)) then
        tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))))
    else if (b <= 1.05d-171) then
        tmp = t_3
    else if (b <= 7.5d-64) then
        tmp = t_5
    else if (b <= 6.5d-36) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 1.05d+41) then
        tmp = t_5
    else if (b <= 1.55d+66) then
        tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_5 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * ((k * y2) - (j * y3)))));
	double tmp;
	if (b <= -2.05e+132) {
		tmp = t_4;
	} else if (b <= -9.5e+31) {
		tmp = t_3;
	} else if (b <= -3.9e-109) {
		tmp = ((j * y3) * t_1) + (t_2 * ((a * y5) - (c * y4)));
	} else if (b <= -3.6e-198) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))));
	} else if (b <= -1.6e-308) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))));
	} else if (b <= 1.05e-171) {
		tmp = t_3;
	} else if (b <= 7.5e-64) {
		tmp = t_5;
	} else if (b <= 6.5e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.05e+41) {
		tmp = t_5;
	} else if (b <= 1.55e+66) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y0 * y5) - (y1 * y4)
	t_2 = (t * y2) - (y * y3)
	t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_5 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * ((k * y2) - (j * y3)))))
	tmp = 0
	if b <= -2.05e+132:
		tmp = t_4
	elif b <= -9.5e+31:
		tmp = t_3
	elif b <= -3.9e-109:
		tmp = ((j * y3) * t_1) + (t_2 * ((a * y5) - (c * y4)))
	elif b <= -3.6e-198:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))))
	elif b <= -1.6e-308:
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))))
	elif b <= 1.05e-171:
		tmp = t_3
	elif b <= 7.5e-64:
		tmp = t_5
	elif b <= 6.5e-36:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 1.05e+41:
		tmp = t_5
	elif b <= 1.55e+66:
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(Float64(t * y2) - Float64(y * y3))
	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))))))
	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)))))
	t_5 = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))))))
	tmp = 0.0
	if (b <= -2.05e+132)
		tmp = t_4;
	elseif (b <= -9.5e+31)
		tmp = t_3;
	elseif (b <= -3.9e-109)
		tmp = Float64(Float64(Float64(j * y3) * t_1) + Float64(t_2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= -3.6e-198)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif (b <= -1.6e-308)
		tmp = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(a * t_2) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (b <= 1.05e-171)
		tmp = t_3;
	elseif (b <= 7.5e-64)
		tmp = t_5;
	elseif (b <= 6.5e-36)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 1.05e+41)
		tmp = t_5;
	elseif (b <= 1.55e+66)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y0 * y5) - (y1 * y4);
	t_2 = (t * y2) - (y * y3);
	t_3 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_5 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * ((k * y2) - (j * y3)))));
	tmp = 0.0;
	if (b <= -2.05e+132)
		tmp = t_4;
	elseif (b <= -9.5e+31)
		tmp = t_3;
	elseif (b <= -3.9e-109)
		tmp = ((j * y3) * t_1) + (t_2 * ((a * y5) - (c * y4)));
	elseif (b <= -3.6e-198)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))));
	elseif (b <= -1.6e-308)
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))));
	elseif (b <= 1.05e-171)
		tmp = t_3;
	elseif (b <= 7.5e-64)
		tmp = t_5;
	elseif (b <= 6.5e-36)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 1.05e+41)
		tmp = t_5;
	elseif (b <= 1.55e+66)
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $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]}, 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]}, Block[{t$95$5 = N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.05e+132], t$95$4, If[LessEqual[b, -9.5e+31], t$95$3, If[LessEqual[b, -3.9e-109], N[(N[(N[(j * y3), $MachinePrecision] * t$95$1), $MachinePrecision] + N[(t$95$2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.6e-198], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.6e-308], N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * t$95$2), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.05e-171], t$95$3, If[LessEqual[b, 7.5e-64], t$95$5, If[LessEqual[b, 6.5e-36], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.05e+41], t$95$5, If[LessEqual[b, 1.55e+66], N[(j * N[(N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if b < -2.04999999999999996e132 or 1.55000000000000009e66 < b

   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 b around inf 61.1%

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

   if -2.04999999999999996e132 < b < -9.5000000000000008e31 or -1.6000000000000001e-308 < b < 1.05e-171

   1. Initial program 28.1%

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

   3. Simplified 39.7%

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

   4. Taylor expanded in y around inf 64.5%

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

      1. mul-1-neg 64.5%

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

   6. Simplified 64.5%

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

   if -9.5000000000000008e31 < b < -3.90000000000000023e-109

   1. Initial program 41.6%

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

   3. Simplified 41.6%

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

   4. Taylor expanded in y5 around inf 52.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in i around 0 61.3%

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

   8. Taylor expanded in k around 0 62.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y3 \cdot j\right)\right)} \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 62.0%

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

      2. distribute-rgt-neg-in 62.0%

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

   10. Simplified 62.0%

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

   if -3.90000000000000023e-109 < b < -3.59999999999999998e-198

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   if -3.59999999999999998e-198 < b < -1.6000000000000001e-308

   1. Initial program 28.9%

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

   3. Simplified 29.0%

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

   4. Taylor expanded in y5 around inf 58.6%

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

      1. mul-1-neg 58.6%

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

      2. mul-1-neg 58.6%

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

      3. mul-1-neg 58.6%

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

      4. sub-neg 58.6%

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

      5. sub-neg 58.6%

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

   6. Simplified 58.6%

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

   if 1.05e-171 < b < 7.49999999999999949e-64 or 6.50000000000000012e-36 < b < 1.05e41

   1. Initial program 19.0%

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

   3. Simplified 28.6%

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

   4. Taylor expanded in y1 around inf 57.6%

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

      1. mul-1-neg 57.6%

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

      2. mul-1-neg 57.6%

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

      3. sub-neg 57.6%

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

   6. Simplified 57.6%

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

   if 7.49999999999999949e-64 < b < 6.50000000000000012e-36

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   7. Taylor expanded in a around inf 80.4%

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

      1. mul-1-neg 80.4%

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

      2. unsub-neg 80.4%

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

      3. *-commutative 80.4%

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

      4. *-commutative 80.4%

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

   9. Simplified 80.4%

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

   if 1.05e41 < b < 1.55000000000000009e66

   1. Initial program 56.2%

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

   3. Simplified 56.2%

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

   4. Taylor expanded in j around inf 100.0%

      \[\leadsto \color{blue}{\left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - i \cdot y1\right) \cdot x\right) \cdot j} \]
3. Recombined 8 regimes into one program.

4. Final simplification 63.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.05 \cdot 10^{+132}:\\ \;\;\;\;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 -9.5 \cdot 10^{+31}:\\ \;\;\;\;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}\;b \leq -3.9 \cdot 10^{-109}:\\ \;\;\;\;\left(j \cdot y3\right) \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-198}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-308}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{-171}:\\ \;\;\;\;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}\;b \leq 7.5 \cdot 10^{-64}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{+41}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{+66}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{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 2: 53.7% accurate, 0.1× speedup

Math

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

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

C

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

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(Float64(c * y0) - Float64(a * y1)) * Float64(Float64(x * y2) - Float64(z * y3)))
	t_3 = Float64(Float64(c * y4) - Float64(a * y5))
	t_4 = Float64(Float64(a * b) - Float64(c * i))
	t_5 = Float64(Float64(k * y2) - Float64(j * y3))
	t_6 = Float64(Float64(x * y) - Float64(z * t))
	t_7 = Float64(Float64(b * y4) - Float64(i * y5))
	t_8 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (Float64(Float64(Float64(Float64(Float64(Float64(t_4 * t_6) + Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(Float64(i * y1) - Float64(b * y0)))) + t_2) + Float64(t_7 * t_1)) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))) + Float64(t_8 * t_5)) <= Inf)
		tmp = fma(t_5, t_8, fma(t_3, Float64(Float64(y * y3) - Float64(t * y2)), fma(t_6, t_4, fma(Float64(Float64(b * y0) - Float64(i * y1)), Float64(Float64(z * k) - Float64(x * j)), fma(t_1, t_7, t_2)))));
	else
		tmp = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * t_4) + Float64(y3 * t_3))));
	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[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[N[(N[(N[(N[(N[(N[(t$95$4 * t$95$6), $MachinePrecision] + N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision] + N[(t$95$7 * t$95$1), $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[(t$95$8 * t$95$5), $MachinePrecision]), $MachinePrecision], Infinity], N[(t$95$5 * t$95$8 + N[(t$95$3 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision] + N[(t$95$6 * t$95$4 + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 * t$95$7 + t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $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 * t$95$3), $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 86.6%

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

   3. Simplified 86.6%

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

   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 12.4%

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

   4. Taylor expanded in y around inf 40.5%

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

      1. mul-1-neg 40.5%

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

   6. Simplified 40.5%

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

4. Final simplification 54.7%

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

Alternative 3: 53.7% accurate, 0.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ t_4 := x \cdot y2 - z \cdot y3\\ t_5 := a \cdot b - c \cdot i\\ t_6 := t_5 \cdot \left(x \cdot y - z \cdot t\right)\\ t_7 := i \cdot y1 - b \cdot y0\\ t_8 := k \cdot y2 - j \cdot y3\\ t_9 := b \cdot y4 - i \cdot y5\\ t_10 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;\left(\left(\left(\left(t_6 + \left(x \cdot j - z \cdot k\right) \cdot t_7\right) + t_2 \cdot t_4\right) + t_9 \cdot t_1\right) + t_3\right) + t_10 \cdot t_8 \leq \infty:\\ \;\;\;\;\mathsf{fma}\left(t_8, t_10, \mathsf{fma}\left(t_1, t_9, \mathsf{fma}\left(t_4, t_2, t_6 + \mathsf{fma}\left(x, j, k \cdot \left(-z\right)\right) \cdot t_7\right)\right) + t_3\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot t_5 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \end{array} \end{array} \]

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 (- (* c y0) (* a y1)))
        (t_3 (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
        (t_4 (- (* x y2) (* z y3)))
        (t_5 (- (* a b) (* c i)))
        (t_6 (* t_5 (- (* x y) (* z t))))
        (t_7 (- (* i y1) (* b y0)))
        (t_8 (- (* k y2) (* j y3)))
        (t_9 (- (* b y4) (* i y5)))
        (t_10 (- (* y1 y4) (* y0 y5))))
   (if (<=
        (+
         (+
          (+ (+ (+ t_6 (* (- (* x j) (* z k)) t_7)) (* t_2 t_4)) (* t_9 t_1))
          t_3)
         (* t_10 t_8))
        INFINITY)
     (fma
      t_8
      t_10
      (+
       (fma t_1 t_9 (fma t_4 t_2 (+ t_6 (* (fma x j (* k (- z))) t_7))))
       t_3))
     (*
      y
      (+
       (* k (- (* i y5) (* b y4)))
       (+ (* x t_5) (* 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 = (c * y0) - (a * y1);
	double t_3 = ((t * y2) - (y * y3)) * ((a * y5) - (c * y4));
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (a * b) - (c * i);
	double t_6 = t_5 * ((x * y) - (z * t));
	double t_7 = (i * y1) - (b * y0);
	double t_8 = (k * y2) - (j * y3);
	double t_9 = (b * y4) - (i * y5);
	double t_10 = (y1 * y4) - (y0 * y5);
	double tmp;
	if ((((((t_6 + (((x * j) - (z * k)) * t_7)) + (t_2 * t_4)) + (t_9 * t_1)) + t_3) + (t_10 * t_8)) <= ((double) INFINITY)) {
		tmp = fma(t_8, t_10, (fma(t_1, t_9, fma(t_4, t_2, (t_6 + (fma(x, j, (k * -z)) * t_7)))) + t_3));
	} else {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_5) + (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(c * y0) - Float64(a * y1))
	t_3 = Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))
	t_4 = Float64(Float64(x * y2) - Float64(z * y3))
	t_5 = Float64(Float64(a * b) - Float64(c * i))
	t_6 = Float64(t_5 * Float64(Float64(x * y) - Float64(z * t)))
	t_7 = Float64(Float64(i * y1) - Float64(b * y0))
	t_8 = Float64(Float64(k * y2) - Float64(j * y3))
	t_9 = Float64(Float64(b * y4) - Float64(i * y5))
	t_10 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (Float64(Float64(Float64(Float64(Float64(t_6 + Float64(Float64(Float64(x * j) - Float64(z * k)) * t_7)) + Float64(t_2 * t_4)) + Float64(t_9 * t_1)) + t_3) + Float64(t_10 * t_8)) <= Inf)
		tmp = fma(t_8, t_10, Float64(fma(t_1, t_9, fma(t_4, t_2, Float64(t_6 + Float64(fma(x, j, Float64(k * Float64(-z))) * t_7)))) + t_3));
	else
		tmp = Float64(y * Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(x * t_5) + 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[(c * y0), $MachinePrecision] - N[(a * y1), $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[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(t$95$5 * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[N[(N[(N[(N[(N[(t$95$6 + N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(t$95$2 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(t$95$9 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision] + N[(t$95$10 * t$95$8), $MachinePrecision]), $MachinePrecision], Infinity], N[(t$95$8 * t$95$10 + N[(N[(t$95$1 * t$95$9 + N[(t$95$4 * t$95$2 + N[(t$95$6 + N[(N[(x * j + N[(k * (-z)), $MachinePrecision]), $MachinePrecision] * t$95$7), $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$5), $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 86.6%

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

   3. Simplified 86.6%

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

   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 12.4%

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

   4. Taylor expanded in y around inf 40.5%

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

      1. mul-1-neg 40.5%

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

   6. Simplified 40.5%

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

4. Final simplification 54.7%

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

Alternative 4: 53.7% accurate, 0.5× speedup

Math

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

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)))
              (* (- (* x j) (* z k)) (- (* i y1) (* b y0))))
             (* (- (* c y0) (* a y1)) (- (* x y2) (* z y3))))
            (* (- (* b y4) (* i y5)) (- (* t j) (* y k))))
           (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
          (* (- (* y1 y4) (* y0 y5)) (- (* k y2) (* j y3))))))
   (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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)))
	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(x * j) - Float64(z * k)) * Float64(Float64(i * y1) - Float64(b * y0)))) + Float64(Float64(Float64(c * y0) - Float64(a * y1)) * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(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(y1 * y4) - Float64(y0 * y5)) * Float64(Float64(k * y2) - Float64(j * y3))))
	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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (((c * y0) - (a * y1)) * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	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[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $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 86.6%

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

   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 12.4%

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

   4. Taylor expanded in y around inf 40.5%

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

      1. mul-1-neg 40.5%

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

   6. Simplified 40.5%

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

4. Final simplification 54.7%

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

Alternative 5: 42.4% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := t \cdot y2 - y \cdot y3\\ t_3 := k \cdot y2 - j \cdot y3\\ t_4 := y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ t_5 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_6 := y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot t_3\right)\right)\\ \mathbf{if}\;b \leq -2.5 \cdot 10^{+131}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -1.16 \cdot 10^{+25}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.1 \cdot 10^{-109}:\\ \;\;\;\;\left(j \cdot y3\right) \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t_2 \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;b \leq -4.5 \cdot 10^{-190}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;b \leq 9 \cdot 10^{-309}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot t_2 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-172}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 7 \cdot 10^{-64}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{+28}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 9 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot t_3\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{+136}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* t y2) (* y y3)))
        (t_3 (- (* k y2) (* j y3)))
        (t_4
         (*
          y
          (+
           (* k (- (* i y5) (* b y4)))
           (+ (* x (- (* a b) (* c i))) (* y3 (- (* c y4) (* a y5)))))))
        (t_5
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_1))
           (* y0 (- (* z k) (* x j))))))
        (t_6
         (*
          y1
          (+
           (* a (- (* z y3) (* x y2)))
           (+ (* i (- (* x j) (* z k))) (* y4 t_3))))))
   (if (<= b -2.5e+131)
     t_5
     (if (<= b -1.16e+25)
       t_4
       (if (<= b -2.1e-109)
         (+ (* (* j y3) (- (* y0 y5) (* y1 y4))) (* t_2 (- (* a y5) (* c y4))))
         (if (<= b -4.5e-190)
           (*
            z
            (+
             (* y3 (- (* a y1) (* c y0)))
             (+ (* k (- (* b y0) (* i y1))) (* t (- (* c i) (* a b))))))
           (if (<= b 9e-309)
             (*
              y5
              (+
               (* i (- (* y k) (* t j)))
               (+ (* a t_2) (* y0 (- (* j y3) (* k y2))))))
             (if (<= b 7.5e-172)
               t_4
               (if (<= b 7e-64)
                 t_6
                 (if (<= b 1.1e-36)
                   (* z (* a (- (* y1 y3) (* t b))))
                   (if (<= b 2.2e+28)
                     t_6
                     (if (<= b 9e+94)
                       (*
                        y4
                        (+
                         (+ (* b t_1) (* y1 t_3))
                         (* c (- (* y y3) (* t y2)))))
                       (if (<= b 6.5e+136)
                         (* z (* b (- (* k y0) (* t a))))
                         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 = (t * j) - (y * k);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = (k * y2) - (j * y3);
	double t_4 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double t_6 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_3)));
	double tmp;
	if (b <= -2.5e+131) {
		tmp = t_5;
	} else if (b <= -1.16e+25) {
		tmp = t_4;
	} else if (b <= -2.1e-109) {
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_2 * ((a * y5) - (c * y4)));
	} else if (b <= -4.5e-190) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))));
	} else if (b <= 9e-309) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))));
	} else if (b <= 7.5e-172) {
		tmp = t_4;
	} else if (b <= 7e-64) {
		tmp = t_6;
	} else if (b <= 1.1e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 2.2e+28) {
		tmp = t_6;
	} else if (b <= 9e+94) {
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))));
	} else if (b <= 6.5e+136) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else {
		tmp = t_5;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = (t * y2) - (y * y3)
    t_3 = (k * y2) - (j * y3)
    t_4 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
    t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    t_6 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_3)))
    if (b <= (-2.5d+131)) then
        tmp = t_5
    else if (b <= (-1.16d+25)) then
        tmp = t_4
    else if (b <= (-2.1d-109)) then
        tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_2 * ((a * y5) - (c * y4)))
    else if (b <= (-4.5d-190)) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))))
    else if (b <= 9d-309) then
        tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))))
    else if (b <= 7.5d-172) then
        tmp = t_4
    else if (b <= 7d-64) then
        tmp = t_6
    else if (b <= 1.1d-36) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 2.2d+28) then
        tmp = t_6
    else if (b <= 9d+94) then
        tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))))
    else if (b <= 6.5d+136) then
        tmp = z * (b * ((k * y0) - (t * a)))
    else
        tmp = t_5
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (t * y2) - (y * y3);
	double t_3 = (k * y2) - (j * y3);
	double t_4 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double t_6 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_3)));
	double tmp;
	if (b <= -2.5e+131) {
		tmp = t_5;
	} else if (b <= -1.16e+25) {
		tmp = t_4;
	} else if (b <= -2.1e-109) {
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_2 * ((a * y5) - (c * y4)));
	} else if (b <= -4.5e-190) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))));
	} else if (b <= 9e-309) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))));
	} else if (b <= 7.5e-172) {
		tmp = t_4;
	} else if (b <= 7e-64) {
		tmp = t_6;
	} else if (b <= 1.1e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 2.2e+28) {
		tmp = t_6;
	} else if (b <= 9e+94) {
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))));
	} else if (b <= 6.5e+136) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else {
		tmp = t_5;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	t_2 = (t * y2) - (y * y3)
	t_3 = (k * y2) - (j * y3)
	t_4 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))))
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	t_6 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_3)))
	tmp = 0
	if b <= -2.5e+131:
		tmp = t_5
	elif b <= -1.16e+25:
		tmp = t_4
	elif b <= -2.1e-109:
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_2 * ((a * y5) - (c * y4)))
	elif b <= -4.5e-190:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))))
	elif b <= 9e-309:
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))))
	elif b <= 7.5e-172:
		tmp = t_4
	elif b <= 7e-64:
		tmp = t_6
	elif b <= 1.1e-36:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 2.2e+28:
		tmp = t_6
	elif b <= 9e+94:
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))))
	elif b <= 6.5e+136:
		tmp = z * (b * ((k * y0) - (t * a)))
	else:
		tmp = t_5
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(t * y2) - Float64(y * y3))
	t_3 = Float64(Float64(k * y2) - Float64(j * y3))
	t_4 = 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_5 = 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_6 = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(y4 * t_3))))
	tmp = 0.0
	if (b <= -2.5e+131)
		tmp = t_5;
	elseif (b <= -1.16e+25)
		tmp = t_4;
	elseif (b <= -2.1e-109)
		tmp = Float64(Float64(Float64(j * y3) * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t_2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= -4.5e-190)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif (b <= 9e-309)
		tmp = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(a * t_2) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (b <= 7.5e-172)
		tmp = t_4;
	elseif (b <= 7e-64)
		tmp = t_6;
	elseif (b <= 1.1e-36)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 2.2e+28)
		tmp = t_6;
	elseif (b <= 9e+94)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * t_3)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (b <= 6.5e+136)
		tmp = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))));
	else
		tmp = t_5;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	t_2 = (t * y2) - (y * y3);
	t_3 = (k * y2) - (j * y3);
	t_4 = y * ((k * ((i * y5) - (b * y4))) + ((x * ((a * b) - (c * i))) + (y3 * ((c * y4) - (a * y5)))));
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	t_6 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_3)));
	tmp = 0.0;
	if (b <= -2.5e+131)
		tmp = t_5;
	elseif (b <= -1.16e+25)
		tmp = t_4;
	elseif (b <= -2.1e-109)
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_2 * ((a * y5) - (c * y4)));
	elseif (b <= -4.5e-190)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * ((b * y0) - (i * y1))) + (t * ((c * i) - (a * b)))));
	elseif (b <= 9e-309)
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_2) + (y0 * ((j * y3) - (k * y2)))));
	elseif (b <= 7.5e-172)
		tmp = t_4;
	elseif (b <= 7e-64)
		tmp = t_6;
	elseif (b <= 1.1e-36)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 2.2e+28)
		tmp = t_6;
	elseif (b <= 9e+94)
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))));
	elseif (b <= 6.5e+136)
		tmp = z * (b * ((k * y0) - (t * a)));
	else
		tmp = t_5;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = 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$5 = 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$6 = N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.5e+131], t$95$5, If[LessEqual[b, -1.16e+25], t$95$4, If[LessEqual[b, -2.1e-109], N[(N[(N[(j * y3), $MachinePrecision] * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.5e-190], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 9e-309], N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * t$95$2), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7.5e-172], t$95$4, If[LessEqual[b, 7e-64], t$95$6, If[LessEqual[b, 1.1e-36], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.2e+28], t$95$6, If[LessEqual[b, 9e+94], N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.5e+136], N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$5]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if b < -2.49999999999999998e131 or 6.4999999999999998e136 < b

   1. Initial program 17.4%

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

   3. Simplified 17.4%

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

   4. Taylor expanded in b around inf 64.3%

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

   if -2.49999999999999998e131 < b < -1.15999999999999992e25 or 9.0000000000000021e-309 < b < 7.4999999999999999e-172

   1. Initial program 28.1%

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

   3. Simplified 39.7%

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

   4. Taylor expanded in y around inf 64.5%

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

      1. mul-1-neg 64.5%

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

   6. Simplified 64.5%

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

   if -1.15999999999999992e25 < b < -2.09999999999999996e-109

   1. Initial program 41.6%

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

   3. Simplified 41.6%

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

   4. Taylor expanded in y5 around inf 52.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 52.2%

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

   6. Simplified 52.2%

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

   7. Taylor expanded in i around 0 61.3%

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

   8. Taylor expanded in k around 0 62.0%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y3 \cdot j\right)\right)} \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 62.0%

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

      2. distribute-rgt-neg-in 62.0%

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

   10. Simplified 62.0%

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

   if -2.09999999999999996e-109 < b < -4.50000000000000021e-190

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   if -4.50000000000000021e-190 < b < 9.0000000000000021e-309

   1. Initial program 28.9%

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

   3. Simplified 29.0%

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

   4. Taylor expanded in y5 around inf 58.6%

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

      1. mul-1-neg 58.6%

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

      2. mul-1-neg 58.6%

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

      3. mul-1-neg 58.6%

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

      4. sub-neg 58.6%

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

      5. sub-neg 58.6%

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

   6. Simplified 58.6%

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

   if 7.4999999999999999e-172 < b < 7.0000000000000006e-64 or 1.1e-36 < b < 2.19999999999999986e28

   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 30.0%

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

   4. Taylor expanded in y1 around inf 55.4%

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

      1. mul-1-neg 55.4%

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

      2. mul-1-neg 55.4%

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

      3. sub-neg 55.4%

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

   6. Simplified 55.4%

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

   if 7.0000000000000006e-64 < b < 1.1e-36

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   7. Taylor expanded in a around inf 80.4%

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

      1. mul-1-neg 80.4%

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

      2. unsub-neg 80.4%

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

      3. *-commutative 80.4%

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

      4. *-commutative 80.4%

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

   9. Simplified 80.4%

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

   if 2.19999999999999986e28 < b < 8.99999999999999944e94

   1. Initial program 41.7%

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

   3. Simplified 41.7%

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

   4. Taylor expanded in y4 around inf 65.6%

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

   if 8.99999999999999944e94 < b < 6.4999999999999998e136

   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 29.4%

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

      1. mul-1-neg 29.4%

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

      2. associate--l+ 29.4%

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

   6. Simplified 29.4%

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

   7. Taylor expanded in b around inf 66.8%

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

4. Final simplification 63.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.5 \cdot 10^{+131}:\\ \;\;\;\;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 -1.16 \cdot 10^{+25}:\\ \;\;\;\;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}\;b \leq -2.1 \cdot 10^{-109}:\\ \;\;\;\;\left(j \cdot y3\right) \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;b \leq -4.5 \cdot 10^{-190}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;b \leq 9 \cdot 10^{-309}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-172}:\\ \;\;\;\;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}\;b \leq 7 \cdot 10^{-64}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{+28}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;b \leq 9 \cdot 10^{+94}:\\ \;\;\;\;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 6.5 \cdot 10^{+136}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\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 6: 38.3% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := a \cdot b - c \cdot i\\ t_3 := x \cdot \left(\left(y \cdot t_2 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_4 := t \cdot y2 - y \cdot y3\\ t_5 := k \cdot y2 - j \cdot y3\\ t_6 := y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot t_5\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_7 := \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_5 + t_4 \cdot \left(a \cdot y5 - c \cdot y4\right)\\ t_8 := x \cdot y - z \cdot t\\ \mathbf{if}\;a \leq -1.8 \cdot 10^{+52}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-169}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-302}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t_8 + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{-280}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.34 \cdot 10^{-154}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 0.0255:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 750000000:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+119}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 6 \cdot 10^{+156}:\\ \;\;\;\;y \cdot \left(x \cdot t_2\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+184}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_4 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot t_8\right)\\ \end{array} \end{array} \]

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 (- (* a b) (* c i)))
        (t_3
         (*
          x
          (-
           (+ (* y t_2) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* b y0) (* i y1))))))
        (t_4 (- (* t y2) (* y y3)))
        (t_5 (- (* k y2) (* j y3)))
        (t_6 (* y4 (+ (+ (* b t_1) (* y1 t_5)) (* c (- (* y y3) (* t y2))))))
        (t_7 (+ (* (- (* y1 y4) (* y0 y5)) t_5) (* t_4 (- (* a y5) (* c y4)))))
        (t_8 (- (* x y) (* z t))))
   (if (<= a -1.8e+52)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= a -2.3e-169)
       t_6
       (if (<= a -4.2e-302)
         (* b (+ (+ (* a t_8) (* y4 t_1)) (* y0 (- (* z k) (* x j)))))
         (if (<= a 2.1e-280)
           (* k (* y1 (- (* y2 y4) (* z i))))
           (if (<= a 3.2e-194)
             t_3
             (if (<= a 1.34e-154)
               t_6
               (if (<= a 0.0255)
                 t_7
                 (if (<= a 750000000.0)
                   t_6
                   (if (<= a 4.8e+88)
                     t_3
                     (if (<= a 5.4e+119)
                       t_7
                       (if (<= a 6e+156)
                         (* y (* x t_2))
                         (if (<= a 7e+184)
                           (* y5 (+ (* a t_4) (* y0 (- (* j y3) (* k y2)))))
                           (* a (* b t_8))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (a * b) - (c * i);
	double t_3 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	double t_4 = (t * y2) - (y * y3);
	double t_5 = (k * y2) - (j * y3);
	double t_6 = y4 * (((b * t_1) + (y1 * t_5)) + (c * ((y * y3) - (t * y2))));
	double t_7 = (((y1 * y4) - (y0 * y5)) * t_5) + (t_4 * ((a * y5) - (c * y4)));
	double t_8 = (x * y) - (z * t);
	double tmp;
	if (a <= -1.8e+52) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -2.3e-169) {
		tmp = t_6;
	} else if (a <= -4.2e-302) {
		tmp = b * (((a * t_8) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 2.1e-280) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= 3.2e-194) {
		tmp = t_3;
	} else if (a <= 1.34e-154) {
		tmp = t_6;
	} else if (a <= 0.0255) {
		tmp = t_7;
	} else if (a <= 750000000.0) {
		tmp = t_6;
	} else if (a <= 4.8e+88) {
		tmp = t_3;
	} else if (a <= 5.4e+119) {
		tmp = t_7;
	} else if (a <= 6e+156) {
		tmp = y * (x * t_2);
	} else if (a <= 7e+184) {
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))));
	} else {
		tmp = a * (b * t_8);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = (a * b) - (c * i)
    t_3 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
    t_4 = (t * y2) - (y * y3)
    t_5 = (k * y2) - (j * y3)
    t_6 = y4 * (((b * t_1) + (y1 * t_5)) + (c * ((y * y3) - (t * y2))))
    t_7 = (((y1 * y4) - (y0 * y5)) * t_5) + (t_4 * ((a * y5) - (c * y4)))
    t_8 = (x * y) - (z * t)
    if (a <= (-1.8d+52)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-2.3d-169)) then
        tmp = t_6
    else if (a <= (-4.2d-302)) then
        tmp = b * (((a * t_8) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    else if (a <= 2.1d-280) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (a <= 3.2d-194) then
        tmp = t_3
    else if (a <= 1.34d-154) then
        tmp = t_6
    else if (a <= 0.0255d0) then
        tmp = t_7
    else if (a <= 750000000.0d0) then
        tmp = t_6
    else if (a <= 4.8d+88) then
        tmp = t_3
    else if (a <= 5.4d+119) then
        tmp = t_7
    else if (a <= 6d+156) then
        tmp = y * (x * t_2)
    else if (a <= 7d+184) then
        tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))))
    else
        tmp = a * (b * t_8)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (a * b) - (c * i);
	double t_3 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	double t_4 = (t * y2) - (y * y3);
	double t_5 = (k * y2) - (j * y3);
	double t_6 = y4 * (((b * t_1) + (y1 * t_5)) + (c * ((y * y3) - (t * y2))));
	double t_7 = (((y1 * y4) - (y0 * y5)) * t_5) + (t_4 * ((a * y5) - (c * y4)));
	double t_8 = (x * y) - (z * t);
	double tmp;
	if (a <= -1.8e+52) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -2.3e-169) {
		tmp = t_6;
	} else if (a <= -4.2e-302) {
		tmp = b * (((a * t_8) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 2.1e-280) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= 3.2e-194) {
		tmp = t_3;
	} else if (a <= 1.34e-154) {
		tmp = t_6;
	} else if (a <= 0.0255) {
		tmp = t_7;
	} else if (a <= 750000000.0) {
		tmp = t_6;
	} else if (a <= 4.8e+88) {
		tmp = t_3;
	} else if (a <= 5.4e+119) {
		tmp = t_7;
	} else if (a <= 6e+156) {
		tmp = y * (x * t_2);
	} else if (a <= 7e+184) {
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))));
	} else {
		tmp = a * (b * t_8);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	t_2 = (a * b) - (c * i)
	t_3 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
	t_4 = (t * y2) - (y * y3)
	t_5 = (k * y2) - (j * y3)
	t_6 = y4 * (((b * t_1) + (y1 * t_5)) + (c * ((y * y3) - (t * y2))))
	t_7 = (((y1 * y4) - (y0 * y5)) * t_5) + (t_4 * ((a * y5) - (c * y4)))
	t_8 = (x * y) - (z * t)
	tmp = 0
	if a <= -1.8e+52:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -2.3e-169:
		tmp = t_6
	elif a <= -4.2e-302:
		tmp = b * (((a * t_8) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	elif a <= 2.1e-280:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif a <= 3.2e-194:
		tmp = t_3
	elif a <= 1.34e-154:
		tmp = t_6
	elif a <= 0.0255:
		tmp = t_7
	elif a <= 750000000.0:
		tmp = t_6
	elif a <= 4.8e+88:
		tmp = t_3
	elif a <= 5.4e+119:
		tmp = t_7
	elif a <= 6e+156:
		tmp = y * (x * t_2)
	elif a <= 7e+184:
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))))
	else:
		tmp = a * (b * t_8)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) - Float64(j * Float64(Float64(b * y0) - Float64(i * y1)))))
	t_4 = Float64(Float64(t * y2) - Float64(y * y3))
	t_5 = Float64(Float64(k * y2) - Float64(j * y3))
	t_6 = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * t_5)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_7 = Float64(Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_5) + Float64(t_4 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_8 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (a <= -1.8e+52)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -2.3e-169)
		tmp = t_6;
	elseif (a <= -4.2e-302)
		tmp = Float64(b * Float64(Float64(Float64(a * t_8) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (a <= 2.1e-280)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (a <= 3.2e-194)
		tmp = t_3;
	elseif (a <= 1.34e-154)
		tmp = t_6;
	elseif (a <= 0.0255)
		tmp = t_7;
	elseif (a <= 750000000.0)
		tmp = t_6;
	elseif (a <= 4.8e+88)
		tmp = t_3;
	elseif (a <= 5.4e+119)
		tmp = t_7;
	elseif (a <= 6e+156)
		tmp = Float64(y * Float64(x * t_2));
	elseif (a <= 7e+184)
		tmp = Float64(y5 * Float64(Float64(a * t_4) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	else
		tmp = Float64(a * Float64(b * t_8));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	t_2 = (a * b) - (c * i);
	t_3 = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	t_4 = (t * y2) - (y * y3);
	t_5 = (k * y2) - (j * y3);
	t_6 = y4 * (((b * t_1) + (y1 * t_5)) + (c * ((y * y3) - (t * y2))));
	t_7 = (((y1 * y4) - (y0 * y5)) * t_5) + (t_4 * ((a * y5) - (c * y4)));
	t_8 = (x * y) - (z * t);
	tmp = 0.0;
	if (a <= -1.8e+52)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -2.3e-169)
		tmp = t_6;
	elseif (a <= -4.2e-302)
		tmp = b * (((a * t_8) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	elseif (a <= 2.1e-280)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (a <= 3.2e-194)
		tmp = t_3;
	elseif (a <= 1.34e-154)
		tmp = t_6;
	elseif (a <= 0.0255)
		tmp = t_7;
	elseif (a <= 750000000.0)
		tmp = t_6;
	elseif (a <= 4.8e+88)
		tmp = t_3;
	elseif (a <= 5.4e+119)
		tmp = t_7;
	elseif (a <= 6e+156)
		tmp = y * (x * t_2);
	elseif (a <= 7e+184)
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))));
	else
		tmp = a * (b * t_8);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision] + N[(t$95$4 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.8e+52], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.3e-169], t$95$6, If[LessEqual[a, -4.2e-302], N[(b * N[(N[(N[(a * t$95$8), $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[a, 2.1e-280], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.2e-194], t$95$3, If[LessEqual[a, 1.34e-154], t$95$6, If[LessEqual[a, 0.0255], t$95$7, If[LessEqual[a, 750000000.0], t$95$6, If[LessEqual[a, 4.8e+88], t$95$3, If[LessEqual[a, 5.4e+119], t$95$7, If[LessEqual[a, 6e+156], N[(y * N[(x * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7e+184], N[(y5 * N[(N[(a * t$95$4), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(b * t$95$8), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -1.8e52

   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 29.5%

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

   4. Taylor expanded in y around inf 38.8%

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

      1. mul-1-neg 38.8%

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

   6. Simplified 38.8%

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

   7. Taylor expanded in a around -inf 52.5%

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

      1. associate-*r* 52.5%

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

      2. neg-mul-1 52.5%

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

      3. +-commutative 52.5%

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

      4. mul-1-neg 52.5%

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

      5. unsub-neg 52.5%

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

   9. Simplified 52.5%

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

   if -1.8e52 < a < -2.3000000000000001e-169 or 3.2000000000000003e-194 < a < 1.34000000000000006e-154 or 0.0254999999999999984 < a < 7.5e8

   1. Initial program 22.1%

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

   3. Simplified 22.1%

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

   4. Taylor expanded in y4 around inf 55.0%

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

   if -2.3000000000000001e-169 < a < -4.20000000000000026e-302

   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 b around inf 58.3%

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

   if -4.20000000000000026e-302 < a < 2.10000000000000001e-280

   1. Initial program 60.0%

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

   3. Simplified 60.0%

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

   4. Taylor expanded in k around inf 40.6%

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

   5. Taylor expanded in y1 around inf 60.4%

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

      1. mul-1-neg 60.4%

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

      2. unsub-neg 60.4%

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

   7. Simplified 60.4%

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

   if 2.10000000000000001e-280 < a < 3.2000000000000003e-194 or 7.5e8 < a < 4.7999999999999998e88

   1. Initial program 28.0%

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

   3. Simplified 28.0%

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

   4. Taylor expanded in x around inf 76.3%

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

   if 1.34000000000000006e-154 < a < 0.0254999999999999984 or 4.7999999999999998e88 < a < 5.3999999999999997e119

   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 y5 around inf 65.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 65.0%

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

   6. Simplified 65.0%

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

   7. Taylor expanded in i around 0 68.3%

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

   if 5.3999999999999997e119 < a < 5.9999999999999999e156

   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 63.0%

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

      1. mul-1-neg 63.0%

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

   6. Simplified 63.0%

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

   7. Taylor expanded in x around inf 75.8%

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

      1. *-commutative 75.8%

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

   9. Simplified 75.8%

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

   if 5.9999999999999999e156 < a < 6.99999999999999956e184

   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 y5 around inf 60.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 60.0%

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

   6. Simplified 60.0%

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

   7. Taylor expanded in i around 0 41.3%

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

   8. Taylor expanded in y5 around -inf 80.0%

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

   if 6.99999999999999956e184 < a

   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 b around inf 43.2%

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

   5. Taylor expanded in a around inf 58.9%

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

4. Final simplification 60.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.8 \cdot 10^{+52}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-169}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-302}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{-280}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-194}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 1.34 \cdot 10^{-154}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 0.0255:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;a \leq 750000000:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+88}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+119}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;a \leq 6 \cdot 10^{+156}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+184}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 7: 39.3% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := k \cdot y2 - j \cdot y3\\ t_3 := y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot t_2\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_4 := t \cdot y2 - y \cdot y3\\ t_5 := \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_2 + t_4 \cdot \left(a \cdot y5 - c \cdot y4\right)\\ t_6 := \left(i \cdot k - a \cdot y3\right) \cdot \left(y \cdot y5\right)\\ t_7 := b \cdot y0 - i \cdot y1\\ \mathbf{if}\;y5 \leq -1 \cdot 10^{+183}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{+59}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y5 \leq -4.2 \cdot 10^{-38}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right) + y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.9 \cdot 10^{-81}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot t_7\right)\\ \mathbf{elif}\;y5 \leq -3.1 \cdot 10^{-214}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 3.15 \cdot 10^{-145}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y5 \leq 1.22 \cdot 10^{-86}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{-57}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{+23}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y5 \leq 2.85 \cdot 10^{+93}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot t_7 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 1.02 \cdot 10^{+192} \lor \neg \left(y5 \leq 6.4 \cdot 10^{+224}\right):\\ \;\;\;\;y5 \cdot \left(a \cdot t_4 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* k y2) (* j y3)))
        (t_3 (* y4 (+ (+ (* b t_1) (* y1 t_2)) (* c (- (* y y3) (* t y2))))))
        (t_4 (- (* t y2) (* y y3)))
        (t_5 (+ (* (- (* y1 y4) (* y0 y5)) t_2) (* t_4 (- (* a y5) (* c y4)))))
        (t_6 (* (- (* i k) (* a y3)) (* y y5)))
        (t_7 (- (* b y0) (* i y1))))
   (if (<= y5 -1e+183)
     t_6
     (if (<= y5 -5.5e+59)
       t_5
       (if (<= y5 -4.2e-38)
         (+
          (* (* i y5) (- (* y k) (* t j)))
          (* y3 (* j (- (* y0 y5) (* y1 y4)))))
         (if (<= y5 -1.9e-81)
           (*
            x
            (-
             (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
             (* j t_7)))
           (if (<= y5 -3.1e-214)
             (*
              b
              (+
               (+ (* a (- (* x y) (* z t))) (* y4 t_1))
               (* y0 (- (* z k) (* x j)))))
             (if (<= y5 3.15e-145)
               t_3
               (if (<= y5 1.22e-86)
                 (* z (* a (- (* y1 y3) (* t b))))
                 (if (<= y5 1.65e-57)
                   t_3
                   (if (<= y5 3e+23)
                     t_5
                     (if (<= y5 2.85e+93)
                       (*
                        z
                        (+
                         (* y3 (- (* a y1) (* c y0)))
                         (+ (* k t_7) (* t (- (* c i) (* a b))))))
                       (if (or (<= y5 1.02e+192) (not (<= y5 6.4e+224)))
                         (* y5 (+ (* a t_4) (* y0 (- (* j y3) (* k y2)))))
                         t_6)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (k * y2) - (j * y3);
	double t_3 = y4 * (((b * t_1) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	double t_4 = (t * y2) - (y * y3);
	double t_5 = (((y1 * y4) - (y0 * y5)) * t_2) + (t_4 * ((a * y5) - (c * y4)));
	double t_6 = ((i * k) - (a * y3)) * (y * y5);
	double t_7 = (b * y0) - (i * y1);
	double tmp;
	if (y5 <= -1e+183) {
		tmp = t_6;
	} else if (y5 <= -5.5e+59) {
		tmp = t_5;
	} else if (y5 <= -4.2e-38) {
		tmp = ((i * y5) * ((y * k) - (t * j))) + (y3 * (j * ((y0 * y5) - (y1 * y4))));
	} else if (y5 <= -1.9e-81) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * t_7));
	} else if (y5 <= -3.1e-214) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else if (y5 <= 3.15e-145) {
		tmp = t_3;
	} else if (y5 <= 1.22e-86) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (y5 <= 1.65e-57) {
		tmp = t_3;
	} else if (y5 <= 3e+23) {
		tmp = t_5;
	} else if (y5 <= 2.85e+93) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_7) + (t * ((c * i) - (a * b)))));
	} else if ((y5 <= 1.02e+192) || !(y5 <= 6.4e+224)) {
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))));
	} else {
		tmp = t_6;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = (k * y2) - (j * y3)
    t_3 = y4 * (((b * t_1) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))))
    t_4 = (t * y2) - (y * y3)
    t_5 = (((y1 * y4) - (y0 * y5)) * t_2) + (t_4 * ((a * y5) - (c * y4)))
    t_6 = ((i * k) - (a * y3)) * (y * y5)
    t_7 = (b * y0) - (i * y1)
    if (y5 <= (-1d+183)) then
        tmp = t_6
    else if (y5 <= (-5.5d+59)) then
        tmp = t_5
    else if (y5 <= (-4.2d-38)) then
        tmp = ((i * y5) * ((y * k) - (t * j))) + (y3 * (j * ((y0 * y5) - (y1 * y4))))
    else if (y5 <= (-1.9d-81)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * t_7))
    else if (y5 <= (-3.1d-214)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    else if (y5 <= 3.15d-145) then
        tmp = t_3
    else if (y5 <= 1.22d-86) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (y5 <= 1.65d-57) then
        tmp = t_3
    else if (y5 <= 3d+23) then
        tmp = t_5
    else if (y5 <= 2.85d+93) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_7) + (t * ((c * i) - (a * b)))))
    else if ((y5 <= 1.02d+192) .or. (.not. (y5 <= 6.4d+224))) then
        tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))))
    else
        tmp = t_6
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (k * y2) - (j * y3);
	double t_3 = y4 * (((b * t_1) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	double t_4 = (t * y2) - (y * y3);
	double t_5 = (((y1 * y4) - (y0 * y5)) * t_2) + (t_4 * ((a * y5) - (c * y4)));
	double t_6 = ((i * k) - (a * y3)) * (y * y5);
	double t_7 = (b * y0) - (i * y1);
	double tmp;
	if (y5 <= -1e+183) {
		tmp = t_6;
	} else if (y5 <= -5.5e+59) {
		tmp = t_5;
	} else if (y5 <= -4.2e-38) {
		tmp = ((i * y5) * ((y * k) - (t * j))) + (y3 * (j * ((y0 * y5) - (y1 * y4))));
	} else if (y5 <= -1.9e-81) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * t_7));
	} else if (y5 <= -3.1e-214) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else if (y5 <= 3.15e-145) {
		tmp = t_3;
	} else if (y5 <= 1.22e-86) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (y5 <= 1.65e-57) {
		tmp = t_3;
	} else if (y5 <= 3e+23) {
		tmp = t_5;
	} else if (y5 <= 2.85e+93) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_7) + (t * ((c * i) - (a * b)))));
	} else if ((y5 <= 1.02e+192) || !(y5 <= 6.4e+224)) {
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))));
	} else {
		tmp = t_6;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	t_2 = (k * y2) - (j * y3)
	t_3 = y4 * (((b * t_1) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))))
	t_4 = (t * y2) - (y * y3)
	t_5 = (((y1 * y4) - (y0 * y5)) * t_2) + (t_4 * ((a * y5) - (c * y4)))
	t_6 = ((i * k) - (a * y3)) * (y * y5)
	t_7 = (b * y0) - (i * y1)
	tmp = 0
	if y5 <= -1e+183:
		tmp = t_6
	elif y5 <= -5.5e+59:
		tmp = t_5
	elif y5 <= -4.2e-38:
		tmp = ((i * y5) * ((y * k) - (t * j))) + (y3 * (j * ((y0 * y5) - (y1 * y4))))
	elif y5 <= -1.9e-81:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * t_7))
	elif y5 <= -3.1e-214:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	elif y5 <= 3.15e-145:
		tmp = t_3
	elif y5 <= 1.22e-86:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif y5 <= 1.65e-57:
		tmp = t_3
	elif y5 <= 3e+23:
		tmp = t_5
	elif y5 <= 2.85e+93:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_7) + (t * ((c * i) - (a * b)))))
	elif (y5 <= 1.02e+192) or not (y5 <= 6.4e+224):
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))))
	else:
		tmp = t_6
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(k * y2) - Float64(j * y3))
	t_3 = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * t_2)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_4 = Float64(Float64(t * y2) - Float64(y * y3))
	t_5 = Float64(Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_2) + Float64(t_4 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_6 = Float64(Float64(Float64(i * k) - Float64(a * y3)) * Float64(y * y5))
	t_7 = Float64(Float64(b * y0) - Float64(i * y1))
	tmp = 0.0
	if (y5 <= -1e+183)
		tmp = t_6;
	elseif (y5 <= -5.5e+59)
		tmp = t_5;
	elseif (y5 <= -4.2e-38)
		tmp = Float64(Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j))) + Float64(y3 * Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4)))));
	elseif (y5 <= -1.9e-81)
		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 * t_7)));
	elseif (y5 <= -3.1e-214)
		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)))));
	elseif (y5 <= 3.15e-145)
		tmp = t_3;
	elseif (y5 <= 1.22e-86)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (y5 <= 1.65e-57)
		tmp = t_3;
	elseif (y5 <= 3e+23)
		tmp = t_5;
	elseif (y5 <= 2.85e+93)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(Float64(k * t_7) + Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif ((y5 <= 1.02e+192) || !(y5 <= 6.4e+224))
		tmp = Float64(y5 * Float64(Float64(a * t_4) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	else
		tmp = t_6;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	t_2 = (k * y2) - (j * y3);
	t_3 = y4 * (((b * t_1) + (y1 * t_2)) + (c * ((y * y3) - (t * y2))));
	t_4 = (t * y2) - (y * y3);
	t_5 = (((y1 * y4) - (y0 * y5)) * t_2) + (t_4 * ((a * y5) - (c * y4)));
	t_6 = ((i * k) - (a * y3)) * (y * y5);
	t_7 = (b * y0) - (i * y1);
	tmp = 0.0;
	if (y5 <= -1e+183)
		tmp = t_6;
	elseif (y5 <= -5.5e+59)
		tmp = t_5;
	elseif (y5 <= -4.2e-38)
		tmp = ((i * y5) * ((y * k) - (t * j))) + (y3 * (j * ((y0 * y5) - (y1 * y4))));
	elseif (y5 <= -1.9e-81)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * t_7));
	elseif (y5 <= -3.1e-214)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	elseif (y5 <= 3.15e-145)
		tmp = t_3;
	elseif (y5 <= 1.22e-86)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (y5 <= 1.65e-57)
		tmp = t_3;
	elseif (y5 <= 3e+23)
		tmp = t_5;
	elseif (y5 <= 2.85e+93)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_7) + (t * ((c * i) - (a * b)))));
	elseif ((y5 <= 1.02e+192) || ~((y5 <= 6.4e+224)))
		tmp = y5 * ((a * t_4) + (y0 * ((j * y3) - (k * y2))));
	else
		tmp = t_6;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] + N[(t$95$4 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision] * N[(y * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1e+183], t$95$6, If[LessEqual[y5, -5.5e+59], t$95$5, If[LessEqual[y5, -4.2e-38], N[(N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.9e-81], 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 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.1e-214], 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[y5, 3.15e-145], t$95$3, If[LessEqual[y5, 1.22e-86], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.65e-57], t$95$3, If[LessEqual[y5, 3e+23], t$95$5, If[LessEqual[y5, 2.85e+93], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(k * t$95$7), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y5, 1.02e+192], N[Not[LessEqual[y5, 6.4e+224]], $MachinePrecision]], N[(y5 * N[(N[(a * t$95$4), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$6]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y5 < -9.99999999999999947e182 or 1.01999999999999996e192 < y5 < 6.4000000000000003e224

   1. Initial program 20.8%

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

   3. Simplified 26.6%

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

   4. Taylor expanded in y around inf 47.2%

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

      1. mul-1-neg 47.2%

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

   6. Simplified 47.2%

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

   7. Taylor expanded in y5 around inf 68.3%

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

      1. distribute-lft-out-- 68.3%

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

      2. *-commutative 68.3%

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

      3. *-commutative 68.3%

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

   9. Simplified 68.3%

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

   if -9.99999999999999947e182 < y5 < -5.4999999999999999e59 or 1.6499999999999999e-57 < y5 < 3.0000000000000001e23

   1. Initial program 27.9%

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

   3. Simplified 27.9%

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

   4. Taylor expanded in y5 around inf 49.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 49.0%

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

   6. Simplified 49.0%

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

   7. Taylor expanded in i around 0 58.7%

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

   if -5.4999999999999999e59 < y5 < -4.20000000000000026e-38

   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 y5 around inf 42.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.6%

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

   6. Simplified 42.6%

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

   7. Taylor expanded in j around inf 54.5%

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

   if -4.20000000000000026e-38 < y5 < -1.8999999999999999e-81

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in x around inf 62.0%

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

   if -1.8999999999999999e-81 < y5 < -3.10000000000000004e-214

   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 59.7%

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

   if -3.10000000000000004e-214 < y5 < 3.15e-145 or 1.22000000000000003e-86 < y5 < 1.6499999999999999e-57

   1. Initial program 34.8%

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

   3. Simplified 34.8%

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

   4. Taylor expanded in y4 around inf 55.5%

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

   if 3.15e-145 < y5 < 1.22000000000000003e-86

   1. Initial program 22.0%

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

   3. Simplified 22.0%

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

   4. Taylor expanded in z around -inf 44.9%

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

      1. mul-1-neg 44.9%

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

      2. associate--l+ 44.9%

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

   6. Simplified 44.9%

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

   7. Taylor expanded in a around inf 77.8%

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

      1. mul-1-neg 77.8%

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

      2. unsub-neg 77.8%

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

      3. *-commutative 77.8%

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

      4. *-commutative 77.8%

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

   9. Simplified 77.8%

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

   if 3.0000000000000001e23 < y5 < 2.8500000000000001e93

   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 36.4%

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

   4. Taylor expanded in z around -inf 77.0%

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

      1. mul-1-neg 77.0%

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

      2. associate--l+ 77.0%

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

   6. Simplified 77.0%

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

   if 2.8500000000000001e93 < y5 < 1.01999999999999996e192 or 6.4000000000000003e224 < y5

   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 29.7%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 29.7%

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

   6. Simplified 29.7%

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

   7. Taylor expanded in i around 0 48.7%

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

   8. Taylor expanded in y5 around -inf 68.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(y0 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 62.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1 \cdot 10^{+183}:\\ \;\;\;\;\left(i \cdot k - a \cdot y3\right) \cdot \left(y \cdot y5\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{+59}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;y5 \leq -4.2 \cdot 10^{-38}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right) + y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.9 \cdot 10^{-81}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -3.1 \cdot 10^{-214}:\\ \;\;\;\;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}\;y5 \leq 3.15 \cdot 10^{-145}:\\ \;\;\;\;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}\;y5 \leq 1.22 \cdot 10^{-86}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{-57}:\\ \;\;\;\;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}\;y5 \leq 3 \cdot 10^{+23}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 2.85 \cdot 10^{+93}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 1.02 \cdot 10^{+192} \lor \neg \left(y5 \leq 6.4 \cdot 10^{+224}\right):\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(i \cdot k - a \cdot y3\right) \cdot \left(y \cdot y5\right)\\ \end{array} \]

Alternative 8: 40.8% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;b \leq -4.4 \cdot 10^{+144}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -3.05 \cdot 10^{-61}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{-135}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.55 \cdot 10^{-64}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.16 \cdot 10^{-28}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{+66}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 10^{+122} \lor \neg \left(b \leq 6 \cdot 10^{+136}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_1))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= b -4.4e+144)
     t_2
     (if (<= b -3.05e-61)
       (*
        y4
        (+
         (+ (* b t_1) (* y1 (- (* k y2) (* j y3))))
         (* c (- (* y y3) (* t y2)))))
       (if (<= b 2.05e-135)
         (* y5 (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
         (if (<= b 2.55e-64)
           (*
            x
            (-
             (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
             (* j (- (* b y0) (* i y1)))))
           (if (<= b 1.16e-28)
             (* z (* a (- (* y1 y3) (* t b))))
             (if (<= b 1.45e+66)
               (* y4 (* j (- (* t b) (* y1 y3))))
               (if (or (<= b 1e+122) (not (<= b 6e+136)))
                 t_2
                 (* z (* b (- (* k y0) (* t a)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (b <= -4.4e+144) {
		tmp = t_2;
	} else if (b <= -3.05e-61) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (b <= 2.05e-135) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 2.55e-64) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	} else if (b <= 1.16e-28) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.45e+66) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if ((b <= 1e+122) || !(b <= 6e+136)) {
		tmp = t_2;
	} else {
		tmp = z * (b * ((k * y0) - (t * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: 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 (b <= (-4.4d+144)) then
        tmp = t_2
    else if (b <= (-3.05d-61)) then
        tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (b <= 2.05d-135) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (b <= 2.55d-64) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
    else if (b <= 1.16d-28) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 1.45d+66) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else if ((b <= 1d+122) .or. (.not. (b <= 6d+136))) then
        tmp = t_2
    else
        tmp = z * (b * ((k * y0) - (t * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (b <= -4.4e+144) {
		tmp = t_2;
	} else if (b <= -3.05e-61) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (b <= 2.05e-135) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 2.55e-64) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	} else if (b <= 1.16e-28) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.45e+66) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if ((b <= 1e+122) || !(b <= 6e+136)) {
		tmp = t_2;
	} else {
		tmp = z * (b * ((k * y0) - (t * a)));
	}
	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 b <= -4.4e+144:
		tmp = t_2
	elif b <= -3.05e-61:
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif b <= 2.05e-135:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif b <= 2.55e-64:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
	elif b <= 1.16e-28:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 1.45e+66:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	elif (b <= 1e+122) or not (b <= 6e+136):
		tmp = t_2
	else:
		tmp = z * (b * ((k * y0) - (t * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(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 (b <= -4.4e+144)
		tmp = t_2;
	elseif (b <= -3.05e-61)
		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)))));
	elseif (b <= 2.05e-135)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (b <= 2.55e-64)
		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(b * y0) - Float64(i * y1)))));
	elseif (b <= 1.16e-28)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 1.45e+66)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif ((b <= 1e+122) || !(b <= 6e+136))
		tmp = t_2;
	else
		tmp = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (b <= -4.4e+144)
		tmp = t_2;
	elseif (b <= -3.05e-61)
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (b <= 2.05e-135)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (b <= 2.55e-64)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	elseif (b <= 1.16e-28)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 1.45e+66)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	elseif ((b <= 1e+122) || ~((b <= 6e+136)))
		tmp = t_2;
	else
		tmp = z * (b * ((k * y0) - (t * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(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[b, -4.4e+144], t$95$2, If[LessEqual[b, -3.05e-61], 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], If[LessEqual[b, 2.05e-135], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.55e-64], 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[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.16e-28], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.45e+66], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[b, 1e+122], N[Not[LessEqual[b, 6e+136]], $MachinePrecision]], t$95$2, N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -4.39999999999999976e144 or 1.44999999999999993e66 < b < 1.00000000000000001e122 or 5.99999999999999958e136 < b

   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 b around inf 63.4%

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

   if -4.39999999999999976e144 < b < -3.05e-61

   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 y4 around inf 55.3%

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

   if -3.05e-61 < b < 2.05000000000000005e-135

   1. Initial program 37.7%

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

   3. Simplified 37.7%

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

   4. Taylor expanded in y5 around inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.5%

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

   6. Simplified 44.5%

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

   7. Taylor expanded in i around 0 46.4%

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

   8. Taylor expanded in y5 around -inf 47.7%

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

   if 2.05000000000000005e-135 < b < 2.54999999999999992e-64

   1. Initial program 21.1%

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

   3. Simplified 21.1%

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

   4. Taylor expanded in x around inf 63.2%

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

   if 2.54999999999999992e-64 < b < 1.1600000000000001e-28

   1. Initial program 41.7%

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

   3. Simplified 41.7%

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

   4. Taylor expanded in z around -inf 67.0%

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

      1. mul-1-neg 67.0%

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

      2. associate--l+ 67.0%

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

   6. Simplified 67.0%

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

   7. Taylor expanded in a around inf 67.3%

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

      1. mul-1-neg 67.3%

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

      2. unsub-neg 67.3%

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

      3. *-commutative 67.3%

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

      4. *-commutative 67.3%

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

   9. Simplified 67.3%

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

   if 1.1600000000000001e-28 < b < 1.44999999999999993e66

   1. Initial program 25.2%

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

   3. Simplified 25.2%

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

   4. Taylor expanded in y4 around inf 54.6%

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

   5. Taylor expanded in j around inf 58.4%

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

      1. mul-1-neg 58.4%

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

      2. unsub-neg 58.4%

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

      3. *-commutative 58.4%

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

      4. *-commutative 58.4%

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

   7. Simplified 58.4%

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

   if 1.00000000000000001e122 < b < 5.99999999999999958e136

   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 16.7%

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

      1. mul-1-neg 16.7%

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

      2. associate--l+ 16.7%

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

   6. Simplified 16.7%

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

   7. Taylor expanded in b around inf 84.8%

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

4. Final simplification 57.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -4.4 \cdot 10^{+144}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -3.05 \cdot 10^{-61}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{-135}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.55 \cdot 10^{-64}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.16 \cdot 10^{-28}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{+66}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 10^{+122} \lor \neg \left(b \leq 6 \cdot 10^{+136}\right):\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \end{array} \]

Alternative 9: 37.5% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(t \cdot j - y \cdot k\right)\\ t_2 := y4 \cdot \left(\left(t_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;b \leq -2.5 \cdot 10^{+214}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot t_1\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{+55}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;b \leq -2.25 \cdot 10^{-60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-110}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 8 \cdot 10^{-37}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{+95}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (- (* t j) (* y k))))
        (t_2
         (*
          y4
          (+
           (+ t_1 (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))))
   (if (<= b -2.5e+214)
     (* (* b y0) (- (* z k) (* x j)))
     (if (<= b -1.15e+87)
       (* y4 t_1)
       (if (<= b -7.5e+55)
         (* i (* y (- (* k y5) (* x c))))
         (if (<= b -2.25e-60)
           t_2
           (if (<= b 1.35e-110)
             (*
              y5
              (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
             (if (<= b 1e-73)
               t_2
               (if (<= b 8e-37)
                 (* z (* a (- (* y1 y3) (* t b))))
                 (if (<= b 1.9e+95)
                   t_2
                   (* b (* t (- (* j y4) (* z a))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * ((t * j) - (y * k));
	double t_2 = y4 * ((t_1 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (b <= -2.5e+214) {
		tmp = (b * y0) * ((z * k) - (x * j));
	} else if (b <= -1.15e+87) {
		tmp = y4 * t_1;
	} else if (b <= -7.5e+55) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (b <= -2.25e-60) {
		tmp = t_2;
	} else if (b <= 1.35e-110) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 1e-73) {
		tmp = t_2;
	} else if (b <= 8e-37) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.9e+95) {
		tmp = t_2;
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * ((t * j) - (y * k))
    t_2 = y4 * ((t_1 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    if (b <= (-2.5d+214)) then
        tmp = (b * y0) * ((z * k) - (x * j))
    else if (b <= (-1.15d+87)) then
        tmp = y4 * t_1
    else if (b <= (-7.5d+55)) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else if (b <= (-2.25d-60)) then
        tmp = t_2
    else if (b <= 1.35d-110) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (b <= 1d-73) then
        tmp = t_2
    else if (b <= 8d-37) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 1.9d+95) then
        tmp = t_2
    else
        tmp = b * (t * ((j * y4) - (z * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * ((t * j) - (y * k));
	double t_2 = y4 * ((t_1 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (b <= -2.5e+214) {
		tmp = (b * y0) * ((z * k) - (x * j));
	} else if (b <= -1.15e+87) {
		tmp = y4 * t_1;
	} else if (b <= -7.5e+55) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (b <= -2.25e-60) {
		tmp = t_2;
	} else if (b <= 1.35e-110) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 1e-73) {
		tmp = t_2;
	} else if (b <= 8e-37) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.9e+95) {
		tmp = t_2;
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * ((t * j) - (y * k))
	t_2 = y4 * ((t_1 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if b <= -2.5e+214:
		tmp = (b * y0) * ((z * k) - (x * j))
	elif b <= -1.15e+87:
		tmp = y4 * t_1
	elif b <= -7.5e+55:
		tmp = i * (y * ((k * y5) - (x * c)))
	elif b <= -2.25e-60:
		tmp = t_2
	elif b <= 1.35e-110:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif b <= 1e-73:
		tmp = t_2
	elif b <= 8e-37:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 1.9e+95:
		tmp = t_2
	else:
		tmp = b * (t * ((j * y4) - (z * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(t * j) - Float64(y * k)))
	t_2 = Float64(y4 * Float64(Float64(t_1 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (b <= -2.5e+214)
		tmp = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)));
	elseif (b <= -1.15e+87)
		tmp = Float64(y4 * t_1);
	elseif (b <= -7.5e+55)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (b <= -2.25e-60)
		tmp = t_2;
	elseif (b <= 1.35e-110)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (b <= 1e-73)
		tmp = t_2;
	elseif (b <= 8e-37)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 1.9e+95)
		tmp = t_2;
	else
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * ((t * j) - (y * k));
	t_2 = y4 * ((t_1 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (b <= -2.5e+214)
		tmp = (b * y0) * ((z * k) - (x * j));
	elseif (b <= -1.15e+87)
		tmp = y4 * t_1;
	elseif (b <= -7.5e+55)
		tmp = i * (y * ((k * y5) - (x * c)));
	elseif (b <= -2.25e-60)
		tmp = t_2;
	elseif (b <= 1.35e-110)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (b <= 1e-73)
		tmp = t_2;
	elseif (b <= 8e-37)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 1.9e+95)
		tmp = t_2;
	else
		tmp = b * (t * ((j * y4) - (z * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y4 * N[(N[(t$95$1 + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.5e+214], N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.15e+87], N[(y4 * t$95$1), $MachinePrecision], If[LessEqual[b, -7.5e+55], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.25e-60], t$95$2, If[LessEqual[b, 1.35e-110], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1e-73], t$95$2, If[LessEqual[b, 8e-37], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.9e+95], t$95$2, N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -2.49999999999999977e214

   1. Initial program 22.0%

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

   3. Simplified 22.0%

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

   4. Taylor expanded in b around inf 64.3%

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

   5. Taylor expanded in y0 around inf 64.8%

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

   if -2.49999999999999977e214 < b < -1.1500000000000001e87

   1. Initial program 8.5%

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

   3. Simplified 8.5%

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

   4. Taylor expanded in y4 around inf 56.3%

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

   5. Taylor expanded in b around inf 68.3%

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

   if -1.1500000000000001e87 < b < -7.50000000000000014e55

   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 14.3%

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

   4. Taylor expanded in y around inf 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%

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

   6. Simplified 71.4%

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

   7. Taylor expanded in i around -inf 72.1%

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

      1. associate-*r* 72.1%

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

      2. neg-mul-1 72.1%

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

      3. *-commutative 72.1%

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

      4. *-commutative 72.1%

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

   9. Simplified 72.1%

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

   if -7.50000000000000014e55 < b < -2.25e-60 or 1.3499999999999999e-110 < b < 9.99999999999999997e-74 or 8.00000000000000053e-37 < b < 1.9e95

   1. Initial program 29.3%

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

   3. Simplified 29.3%

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

   4. Taylor expanded in y4 around inf 54.5%

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

   if -2.25e-60 < b < 1.3499999999999999e-110

   1. Initial program 36.3%

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

   3. Simplified 36.3%

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

   4. Taylor expanded in y5 around inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.8%

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

   6. Simplified 42.8%

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

   7. Taylor expanded in i around 0 44.7%

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

   8. Taylor expanded in y5 around -inf 47.2%

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

   if 9.99999999999999997e-74 < b < 8.00000000000000053e-37

   1. Initial program 33.3%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in z around -inf 60.1%

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

      1. mul-1-neg 60.1%

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

      2. associate--l+ 60.1%

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

   6. Simplified 60.1%

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

   7. Taylor expanded in a around inf 54.4%

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

      1. mul-1-neg 54.4%

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

      2. unsub-neg 54.4%

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

      3. *-commutative 54.4%

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

      4. *-commutative 54.4%

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

   9. Simplified 54.4%

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

   if 1.9e95 < b

   1. Initial program 20.2%

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

   3. Simplified 20.2%

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

   4. Taylor expanded in b around inf 56.2%

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

   5. Taylor expanded in t around -inf 49.0%

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

      1. mul-1-neg 49.0%

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

      2. associate-*r* 50.7%

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

      3. distribute-lft-neg-in 50.7%

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

      4. *-commutative 50.7%

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

      5. distribute-rgt-neg-in 50.7%

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

      6. +-commutative 50.7%

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

      7. mul-1-neg 50.7%

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

      8. unsub-neg 50.7%

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

      9. *-commutative 50.7%

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

   7. Simplified 50.7%

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

4. Final simplification 53.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.5 \cdot 10^{+214}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{+55}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;b \leq -2.25 \cdot 10^{-60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-110}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 10^{-73}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 8 \cdot 10^{-37}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{+95}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 10: 38.5% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := b \cdot y0 - i \cdot y1\\ t_3 := t \cdot j - y \cdot k\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := x \cdot y - z \cdot t\\ \mathbf{if}\;a \leq -2.95 \cdot 10^{+54}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -4 \cdot 10^{-169}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_3 + y1 \cdot t_4\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -7.8 \cdot 10^{-302}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t_5 + y4 \cdot t_3\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.04 \cdot 10^{-280}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot t_2 + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{-180}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_1 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot t_2\right)\\ \mathbf{elif}\;a \leq 2.3 \cdot 10^{-54}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_4 + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot t_1 + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot t_5\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2 (- (* b y0) (* i y1)))
        (t_3 (- (* t j) (* y k)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* x y) (* z t))))
   (if (<= a -2.95e+54)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= a -4e-169)
       (* y4 (+ (+ (* b t_3) (* y1 t_4)) (* c (- (* y y3) (* t y2)))))
       (if (<= a -7.8e-302)
         (* b (+ (+ (* a t_5) (* y4 t_3)) (* y0 (- (* z k) (* x j)))))
         (if (<= a 1.04e-280)
           (*
            z
            (+
             (* y3 (- (* a y1) (* c y0)))
             (+ (* k t_2) (* t (- (* c i) (* a b))))))
           (if (<= a 8.5e-180)
             (* x (- (+ (* y t_1) (* y2 (- (* c y0) (* a y1)))) (* j t_2)))
             (if (<= a 2.3e-54)
               (+
                (* (- (* y1 y4) (* y0 y5)) t_4)
                (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
               (if (<= a 1.8e+174)
                 (*
                  y
                  (+
                   (* k (- (* i y5) (* b y4)))
                   (+ (* x t_1) (* y3 (- (* c y4) (* a y5))))))
                 (* a (* b 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 = (a * b) - (c * i);
	double t_2 = (b * y0) - (i * y1);
	double t_3 = (t * j) - (y * k);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (x * y) - (z * t);
	double tmp;
	if (a <= -2.95e+54) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -4e-169) {
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))));
	} else if (a <= -7.8e-302) {
		tmp = b * (((a * t_5) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 1.04e-280) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_2) + (t * ((c * i) - (a * b)))));
	} else if (a <= 8.5e-180) {
		tmp = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) - (j * t_2));
	} else if (a <= 2.3e-54) {
		tmp = (((y1 * y4) - (y0 * y5)) * t_4) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)));
	} else if (a <= 1.8e+174) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * ((c * y4) - (a * y5)))));
	} else {
		tmp = a * (b * t_5);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = (b * y0) - (i * y1)
    t_3 = (t * j) - (y * k)
    t_4 = (k * y2) - (j * y3)
    t_5 = (x * y) - (z * t)
    if (a <= (-2.95d+54)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-4d-169)) then
        tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))))
    else if (a <= (-7.8d-302)) then
        tmp = b * (((a * t_5) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
    else if (a <= 1.04d-280) then
        tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_2) + (t * ((c * i) - (a * b)))))
    else if (a <= 8.5d-180) then
        tmp = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) - (j * t_2))
    else if (a <= 2.3d-54) then
        tmp = (((y1 * y4) - (y0 * y5)) * t_4) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))
    else if (a <= 1.8d+174) then
        tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * ((c * y4) - (a * y5)))))
    else
        tmp = a * (b * 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 = (a * b) - (c * i);
	double t_2 = (b * y0) - (i * y1);
	double t_3 = (t * j) - (y * k);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (x * y) - (z * t);
	double tmp;
	if (a <= -2.95e+54) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -4e-169) {
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))));
	} else if (a <= -7.8e-302) {
		tmp = b * (((a * t_5) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	} else if (a <= 1.04e-280) {
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_2) + (t * ((c * i) - (a * b)))));
	} else if (a <= 8.5e-180) {
		tmp = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) - (j * t_2));
	} else if (a <= 2.3e-54) {
		tmp = (((y1 * y4) - (y0 * y5)) * t_4) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)));
	} else if (a <= 1.8e+174) {
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * ((c * y4) - (a * y5)))));
	} else {
		tmp = a * (b * 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 = (a * b) - (c * i)
	t_2 = (b * y0) - (i * y1)
	t_3 = (t * j) - (y * k)
	t_4 = (k * y2) - (j * y3)
	t_5 = (x * y) - (z * t)
	tmp = 0
	if a <= -2.95e+54:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -4e-169:
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))))
	elif a <= -7.8e-302:
		tmp = b * (((a * t_5) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
	elif a <= 1.04e-280:
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_2) + (t * ((c * i) - (a * b)))))
	elif a <= 8.5e-180:
		tmp = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) - (j * t_2))
	elif a <= 2.3e-54:
		tmp = (((y1 * y4) - (y0 * y5)) * t_4) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))
	elif a <= 1.8e+174:
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * ((c * y4) - (a * y5)))))
	else:
		tmp = a * (b * t_5)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(Float64(b * y0) - Float64(i * y1))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (a <= -2.95e+54)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -4e-169)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_3) + Float64(y1 * t_4)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (a <= -7.8e-302)
		tmp = Float64(b * Float64(Float64(Float64(a * t_5) + Float64(y4 * t_3)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (a <= 1.04e-280)
		tmp = Float64(z * Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(Float64(k * t_2) + Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif (a <= 8.5e-180)
		tmp = Float64(x * Float64(Float64(Float64(y * t_1) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) - Float64(j * t_2)));
	elseif (a <= 2.3e-54)
		tmp = Float64(Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_4) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (a <= 1.8e+174)
		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))))));
	else
		tmp = Float64(a * Float64(b * 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 = (a * b) - (c * i);
	t_2 = (b * y0) - (i * y1);
	t_3 = (t * j) - (y * k);
	t_4 = (k * y2) - (j * y3);
	t_5 = (x * y) - (z * t);
	tmp = 0.0;
	if (a <= -2.95e+54)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -4e-169)
		tmp = y4 * (((b * t_3) + (y1 * t_4)) + (c * ((y * y3) - (t * y2))));
	elseif (a <= -7.8e-302)
		tmp = b * (((a * t_5) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	elseif (a <= 1.04e-280)
		tmp = z * ((y3 * ((a * y1) - (c * y0))) + ((k * t_2) + (t * ((c * i) - (a * b)))));
	elseif (a <= 8.5e-180)
		tmp = x * (((y * t_1) + (y2 * ((c * y0) - (a * y1)))) - (j * t_2));
	elseif (a <= 2.3e-54)
		tmp = (((y1 * y4) - (y0 * y5)) * t_4) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)));
	elseif (a <= 1.8e+174)
		tmp = y * ((k * ((i * y5) - (b * y4))) + ((x * t_1) + (y3 * ((c * y4) - (a * y5)))));
	else
		tmp = a * (b * t_5);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.95e+54], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4e-169], N[(y4 * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -7.8e-302], N[(b * N[(N[(N[(a * t$95$5), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.04e-280], N[(z * N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(k * t$95$2), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8.5e-180], N[(x * N[(N[(N[(y * t$95$1), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.3e-54], N[(N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.8e+174], 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], N[(a * N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if a < -2.9499999999999999e54

   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 29.5%

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

   4. Taylor expanded in y around inf 38.8%

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

      1. mul-1-neg 38.8%

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

   6. Simplified 38.8%

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

   7. Taylor expanded in a around -inf 52.5%

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

      1. associate-*r* 52.5%

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

      2. neg-mul-1 52.5%

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

      3. +-commutative 52.5%

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

      4. mul-1-neg 52.5%

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

      5. unsub-neg 52.5%

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

   9. Simplified 52.5%

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

   if -2.9499999999999999e54 < a < -4.00000000000000008e-169

   1. Initial program 25.1%

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

   3. Simplified 25.1%

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

   4. Taylor expanded in y4 around inf 48.4%

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

   if -4.00000000000000008e-169 < a < -7.7999999999999998e-302

   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 b around inf 58.3%

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

   if -7.7999999999999998e-302 < a < 1.04000000000000002e-280

   1. Initial program 60.0%

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

   3. Simplified 60.0%

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

   4. Taylor expanded in z around -inf 61.1%

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

      1. mul-1-neg 61.1%

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

      2. associate--l+ 61.1%

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

   6. Simplified 61.1%

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

   if 1.04000000000000002e-280 < a < 8.4999999999999993e-180

   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 15.0%

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

   4. Taylor expanded in x around inf 65.1%

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

   if 8.4999999999999993e-180 < a < 2.2999999999999999e-54

   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 33.6%

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

   4. Taylor expanded in y5 around inf 66.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 66.9%

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

   6. Simplified 66.9%

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

   7. Taylor expanded in i around 0 71.3%

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

   if 2.2999999999999999e-54 < a < 1.8000000000000001e174

   1. Initial program 35.5%

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

   3. Simplified 53.3%

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

   4. Taylor expanded in y around inf 60.4%

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

      1. mul-1-neg 60.4%

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

   6. Simplified 60.4%

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

   if 1.8000000000000001e174 < a

   1. Initial program 11.8%

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

   3. Simplified 11.8%

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

   4. Taylor expanded in b around inf 40.7%

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

   5. Taylor expanded in a around inf 55.5%

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

4. Final simplification 57.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.95 \cdot 10^{+54}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -4 \cdot 10^{-169}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -7.8 \cdot 10^{-302}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.04 \cdot 10^{-280}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{-180}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 2.3 \cdot 10^{-54}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 11: 40.7% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_3 := k \cdot y2 - j \cdot y3\\ \mathbf{if}\;b \leq -1.4 \cdot 10^{+142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_1 + y1 \cdot t_3\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 4.8 \cdot 10^{-104}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{-34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 2 \cdot 10^{-8}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot t_3\\ \mathbf{elif}\;b \leq 2.5 \cdot 10^{+66}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

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))))
   (if (<= b -1.4e+142)
     t_2
     (if (<= b -1.6e-60)
       (* y4 (+ (+ (* b t_1) (* y1 t_3)) (* c (- (* y y3) (* t y2)))))
       (if (<= b 4.8e-104)
         (* y5 (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
         (if (<= b 2.9e-34)
           t_2
           (if (<= b 2e-8)
             (* (* y1 y4) t_3)
             (if (<= b 2.5e+66) (* y4 (* j (- (* t b) (* y1 y3)))) 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 tmp;
	if (b <= -1.4e+142) {
		tmp = t_2;
	} else if (b <= -1.6e-60) {
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))));
	} else if (b <= 4.8e-104) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 2.9e-34) {
		tmp = t_2;
	} else if (b <= 2e-8) {
		tmp = (y1 * y4) * t_3;
	} else if (b <= 2.5e+66) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (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)
    if (b <= (-1.4d+142)) then
        tmp = t_2
    else if (b <= (-1.6d-60)) then
        tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))))
    else if (b <= 4.8d-104) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (b <= 2.9d-34) then
        tmp = t_2
    else if (b <= 2d-8) then
        tmp = (y1 * y4) * t_3
    else if (b <= 2.5d+66) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    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 tmp;
	if (b <= -1.4e+142) {
		tmp = t_2;
	} else if (b <= -1.6e-60) {
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))));
	} else if (b <= 4.8e-104) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 2.9e-34) {
		tmp = t_2;
	} else if (b <= 2e-8) {
		tmp = (y1 * y4) * t_3;
	} else if (b <= 2.5e+66) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} 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)
	tmp = 0
	if b <= -1.4e+142:
		tmp = t_2
	elif b <= -1.6e-60:
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))))
	elif b <= 4.8e-104:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif b <= 2.9e-34:
		tmp = t_2
	elif b <= 2e-8:
		tmp = (y1 * y4) * t_3
	elif b <= 2.5e+66:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	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))
	tmp = 0.0
	if (b <= -1.4e+142)
		tmp = t_2;
	elseif (b <= -1.6e-60)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * t_3)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (b <= 4.8e-104)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (b <= 2.9e-34)
		tmp = t_2;
	elseif (b <= 2e-8)
		tmp = Float64(Float64(y1 * y4) * t_3);
	elseif (b <= 2.5e+66)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	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);
	tmp = 0.0;
	if (b <= -1.4e+142)
		tmp = t_2;
	elseif (b <= -1.6e-60)
		tmp = y4 * (((b * t_1) + (y1 * t_3)) + (c * ((y * y3) - (t * y2))));
	elseif (b <= 4.8e-104)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (b <= 2.9e-34)
		tmp = t_2;
	elseif (b <= 2e-8)
		tmp = (y1 * y4) * t_3;
	elseif (b <= 2.5e+66)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	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]}, If[LessEqual[b, -1.4e+142], t$95$2, If[LessEqual[b, -1.6e-60], N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.8e-104], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.9e-34], t$95$2, If[LessEqual[b, 2e-8], N[(N[(y1 * y4), $MachinePrecision] * t$95$3), $MachinePrecision], If[LessEqual[b, 2.5e+66], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if b < -1.4e142 or 4.8000000000000001e-104 < b < 2.9000000000000002e-34 or 2.49999999999999996e66 < b

   1. Initial program 21.3%

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

   3. Simplified 21.3%

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

   4. Taylor expanded in b around inf 55.4%

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

   if -1.4e142 < b < -1.6000000000000001e-60

   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 y4 around inf 55.3%

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

   if -1.6000000000000001e-60 < b < 4.8000000000000001e-104

   1. Initial program 36.3%

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

   3. Simplified 36.3%

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

   4. Taylor expanded in y5 around inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.8%

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

   6. Simplified 42.8%

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

   7. Taylor expanded in i around 0 44.7%

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

   8. Taylor expanded in y5 around -inf 47.2%

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

   if 2.9000000000000002e-34 < b < 2e-8

   1. Initial program 12.5%

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

   3. Simplified 12.5%

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

   4. Taylor expanded in y4 around inf 62.5%

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

   5. Taylor expanded in y1 around inf 76.3%

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

      1. associate-*r* 88.0%

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

   7. Simplified 88.0%

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

   if 2e-8 < b < 2.49999999999999996e66

   1. Initial program 35.6%

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

   3. Simplified 35.6%

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

   4. Taylor expanded in y4 around inf 47.6%

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

   5. Taylor expanded in j around inf 58.9%

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

      1. mul-1-neg 58.9%

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

      2. unsub-neg 58.9%

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

      3. *-commutative 58.9%

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

      4. *-commutative 58.9%

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

   7. Simplified 58.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 54.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.4 \cdot 10^{+142}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 4.8 \cdot 10^{-104}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{-34}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 2 \cdot 10^{-8}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 2.5 \cdot 10^{+66}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 12: 36.1% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot t_1\right)\right)\\ t_3 := i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{if}\;t \leq -1 \cdot 10^{+128}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.55 \cdot 10^{+95}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-251}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{-228}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.28 \cdot 10^{-8}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_1 + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;t \leq 10^{+50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+102}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+142}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot y4\right) \cdot \left(b \cdot j - c \cdot y2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2
         (*
          y1
          (+
           (* a (- (* z y3) (* x y2)))
           (+ (* i (- (* x j) (* z k))) (* y4 t_1)))))
        (t_3 (* i (* y (- (* k y5) (* x c))))))
   (if (<= t -1e+128)
     (*
      c
      (+
       (* i (- (* z t) (* x y)))
       (+ (* y0 (- (* x y2) (* z y3))) (* y4 (- (* y y3) (* t y2))))))
     (if (<= t -1.55e+95)
       (* (* i y5) (- (* y k) (* t j)))
       (if (<= t -1.3e-212)
         t_2
         (if (<= t -1.15e-251)
           t_3
           (if (<= t 7.5e-228)
             t_2
             (if (<= t 1.28e-8)
               (+
                (* (- (* y1 y4) (* y0 y5)) t_1)
                (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
               (if (<= t 1e+50)
                 t_3
                 (if (<= t 7.5e+102)
                   (* (* b y0) (- (* z k) (* x j)))
                   (if (<= t 1.35e+142)
                     (* y (* y3 (- (* c y4) (* a y5))))
                     (* (* t y4) (- (* b j) (* c 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 = (k * y2) - (j * y3);
	double t_2 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_1)));
	double t_3 = i * (y * ((k * y5) - (x * c)));
	double tmp;
	if (t <= -1e+128) {
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	} else if (t <= -1.55e+95) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (t <= -1.3e-212) {
		tmp = t_2;
	} else if (t <= -1.15e-251) {
		tmp = t_3;
	} else if (t <= 7.5e-228) {
		tmp = t_2;
	} else if (t <= 1.28e-8) {
		tmp = (((y1 * y4) - (y0 * y5)) * t_1) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)));
	} else if (t <= 1e+50) {
		tmp = t_3;
	} else if (t <= 7.5e+102) {
		tmp = (b * y0) * ((z * k) - (x * j));
	} else if (t <= 1.35e+142) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else {
		tmp = (t * y4) * ((b * j) - (c * 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 = (k * y2) - (j * y3)
    t_2 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_1)))
    t_3 = i * (y * ((k * y5) - (x * c)))
    if (t <= (-1d+128)) then
        tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
    else if (t <= (-1.55d+95)) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (t <= (-1.3d-212)) then
        tmp = t_2
    else if (t <= (-1.15d-251)) then
        tmp = t_3
    else if (t <= 7.5d-228) then
        tmp = t_2
    else if (t <= 1.28d-8) then
        tmp = (((y1 * y4) - (y0 * y5)) * t_1) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))
    else if (t <= 1d+50) then
        tmp = t_3
    else if (t <= 7.5d+102) then
        tmp = (b * y0) * ((z * k) - (x * j))
    else if (t <= 1.35d+142) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else
        tmp = (t * y4) * ((b * j) - (c * 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 = (k * y2) - (j * y3);
	double t_2 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_1)));
	double t_3 = i * (y * ((k * y5) - (x * c)));
	double tmp;
	if (t <= -1e+128) {
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	} else if (t <= -1.55e+95) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (t <= -1.3e-212) {
		tmp = t_2;
	} else if (t <= -1.15e-251) {
		tmp = t_3;
	} else if (t <= 7.5e-228) {
		tmp = t_2;
	} else if (t <= 1.28e-8) {
		tmp = (((y1 * y4) - (y0 * y5)) * t_1) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)));
	} else if (t <= 1e+50) {
		tmp = t_3;
	} else if (t <= 7.5e+102) {
		tmp = (b * y0) * ((z * k) - (x * j));
	} else if (t <= 1.35e+142) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else {
		tmp = (t * y4) * ((b * j) - (c * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y2) - (j * y3)
	t_2 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_1)))
	t_3 = i * (y * ((k * y5) - (x * c)))
	tmp = 0
	if t <= -1e+128:
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
	elif t <= -1.55e+95:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif t <= -1.3e-212:
		tmp = t_2
	elif t <= -1.15e-251:
		tmp = t_3
	elif t <= 7.5e-228:
		tmp = t_2
	elif t <= 1.28e-8:
		tmp = (((y1 * y4) - (y0 * y5)) * t_1) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))
	elif t <= 1e+50:
		tmp = t_3
	elif t <= 7.5e+102:
		tmp = (b * y0) * ((z * k) - (x * j))
	elif t <= 1.35e+142:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	else:
		tmp = (t * y4) * ((b * j) - (c * 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(Float64(k * y2) - Float64(j * y3))
	t_2 = Float64(y1 * Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(y4 * t_1))))
	t_3 = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))))
	tmp = 0.0
	if (t <= -1e+128)
		tmp = Float64(c * Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))));
	elseif (t <= -1.55e+95)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (t <= -1.3e-212)
		tmp = t_2;
	elseif (t <= -1.15e-251)
		tmp = t_3;
	elseif (t <= 7.5e-228)
		tmp = t_2;
	elseif (t <= 1.28e-8)
		tmp = Float64(Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_1) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (t <= 1e+50)
		tmp = t_3;
	elseif (t <= 7.5e+102)
		tmp = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)));
	elseif (t <= 1.35e+142)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	else
		tmp = Float64(Float64(t * y4) * Float64(Float64(b * j) - Float64(c * 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 = (k * y2) - (j * y3);
	t_2 = y1 * ((a * ((z * y3) - (x * y2))) + ((i * ((x * j) - (z * k))) + (y4 * t_1)));
	t_3 = i * (y * ((k * y5) - (x * c)));
	tmp = 0.0;
	if (t <= -1e+128)
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	elseif (t <= -1.55e+95)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (t <= -1.3e-212)
		tmp = t_2;
	elseif (t <= -1.15e-251)
		tmp = t_3;
	elseif (t <= 7.5e-228)
		tmp = t_2;
	elseif (t <= 1.28e-8)
		tmp = (((y1 * y4) - (y0 * y5)) * t_1) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)));
	elseif (t <= 1e+50)
		tmp = t_3;
	elseif (t <= 7.5e+102)
		tmp = (b * y0) * ((z * k) - (x * j));
	elseif (t <= 1.35e+142)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	else
		tmp = (t * y4) * ((b * j) - (c * 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[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1e+128], N[(c * N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.55e+95], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.3e-212], t$95$2, If[LessEqual[t, -1.15e-251], t$95$3, If[LessEqual[t, 7.5e-228], t$95$2, If[LessEqual[t, 1.28e-8], N[(N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1e+50], t$95$3, If[LessEqual[t, 7.5e+102], N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.35e+142], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(t * y4), $MachinePrecision] * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if t < -1.0000000000000001e128

   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 26.9%

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

   4. Taylor expanded in c around inf 51.8%

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

      1. associate--l+ 51.8%

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

      2. mul-1-neg 51.8%

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

   6. Simplified 51.8%

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

   if -1.0000000000000001e128 < t < -1.5500000000000001e95

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in y5 around inf 23.4%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 23.4%

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

   6. Simplified 23.4%

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

   7. Taylor expanded in i around inf 77.2%

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

      1. mul-1-neg 77.2%

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

      2. *-commutative 77.2%

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

      3. *-commutative 77.2%

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

      4. associate-*l* 77.2%

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

      5. *-commutative 77.2%

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

      6. distribute-rgt-neg-out 77.2%

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

      7. *-commutative 77.2%

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

      8. *-commutative 77.2%

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

      9. distribute-lft-neg-in 77.2%

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

   9. Simplified 77.2%

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

   if -1.5500000000000001e95 < t < -1.3e-212 or -1.15000000000000009e-251 < t < 7.4999999999999999e-228

   1. Initial program 31.4%

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

   3. Simplified 38.3%

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

   4. Taylor expanded in y1 around inf 58.0%

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

      1. mul-1-neg 58.0%

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

      2. mul-1-neg 58.0%

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

      3. sub-neg 58.0%

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

   6. Simplified 58.0%

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

   if -1.3e-212 < t < -1.15000000000000009e-251 or 1.28000000000000005e-8 < t < 1.0000000000000001e50

   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 35.9%

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

   4. Taylor expanded in y around inf 63.9%

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

      1. mul-1-neg 63.9%

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

   6. Simplified 63.9%

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

   7. Taylor expanded in i around -inf 69.0%

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

      1. associate-*r* 69.0%

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

      2. neg-mul-1 69.0%

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

      3. *-commutative 69.0%

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

      4. *-commutative 69.0%

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

   9. Simplified 69.0%

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

   if 7.4999999999999999e-228 < t < 1.28000000000000005e-8

   1. Initial program 26.3%

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

   3. Simplified 26.3%

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

   4. Taylor expanded in y5 around inf 48.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 48.2%

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

   6. Simplified 48.2%

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

   7. Taylor expanded in i around 0 59.3%

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

   if 1.0000000000000001e50 < t < 7.5e102

   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 b around inf 55.7%

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

   5. Taylor expanded in y0 around inf 78.0%

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

   if 7.5e102 < t < 1.34999999999999991e142

   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%

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

   4. Taylor expanded in y around inf 55.4%

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

      1. mul-1-neg 55.4%

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

   6. Simplified 55.4%

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

   7. Taylor expanded in y3 around inf 56.1%

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

   if 1.34999999999999991e142 < t

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in 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 t around inf 58.3%

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

      1. associate-*r* 61.9%

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

      2. *-commutative 61.9%

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

   7. Simplified 61.9%

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

4. Final simplification 60.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1 \cdot 10^{+128}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.55 \cdot 10^{+95}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{-212}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-251}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{-228}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;t \leq 1.28 \cdot 10^{-8}:\\ \;\;\;\;\left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;t \leq 10^{+50}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+102}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+142}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot y4\right) \cdot \left(b \cdot j - c \cdot y2\right)\\ \end{array} \]

Alternative 13: 31.4% accurate, 2.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ t_2 := b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ t_3 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;b \leq -2.2 \cdot 10^{+216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{+88}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-57}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -8.2 \cdot 10^{-65}:\\ \;\;\;\;a \cdot \left(y5 \cdot t_3\right)\\ \mathbf{elif}\;b \leq -2.9 \cdot 10^{-107}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{-127}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{-239}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{-258}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_3\right)\\ \mathbf{elif}\;b \leq 1.85 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-34}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-9}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j))))
        (t_2 (* b (* t (- (* j y4) (* z a)))))
        (t_3 (- (* t y2) (* y y3))))
   (if (<= b -2.2e+216)
     t_1
     (if (<= b -2.6e+88)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -1.1e+75)
         t_1
         (if (<= b -2.2e-57)
           (* (* i k) (- (* y y5) (* z y1)))
           (if (<= b -8.2e-65)
             (* a (* y5 t_3))
             (if (<= b -2.9e-107)
               t_2
               (if (<= b -1.1e-127)
                 (* z (* y3 (- (* a y1) (* c y0))))
                 (if (<= b -2.7e-239)
                   (* y (* y3 (- (* c y4) (* a y5))))
                   (if (<= b 2.1e-258)
                     (* y5 (* a t_3))
                     (if (<= b 1.85e-82)
                       (* k (* y1 (- (* y2 y4) (* z i))))
                       (if (<= b 7.5e-64)
                         (* (* i y5) (- (* y k) (* t j)))
                         (if (<= b 3.6e-34)
                           (* z (* a (- (* y1 y3) (* t b))))
                           (if (<= b 4.5e-9)
                             (* (* y1 y4) (- (* k y2) (* j y3)))
                             (if (<= b 5.8e+94)
                               (* y4 (* j (- (* t b) (* y1 y3))))
                               t_2))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double t_2 = b * (t * ((j * y4) - (z * a)));
	double t_3 = (t * y2) - (y * y3);
	double tmp;
	if (b <= -2.2e+216) {
		tmp = t_1;
	} else if (b <= -2.6e+88) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.1e+75) {
		tmp = t_1;
	} else if (b <= -2.2e-57) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -8.2e-65) {
		tmp = a * (y5 * t_3);
	} else if (b <= -2.9e-107) {
		tmp = t_2;
	} else if (b <= -1.1e-127) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (b <= -2.7e-239) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 2.1e-258) {
		tmp = y5 * (a * t_3);
	} else if (b <= 1.85e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 7.5e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 3.6e-34) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 4.5e-9) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 5.8e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    t_2 = b * (t * ((j * y4) - (z * a)))
    t_3 = (t * y2) - (y * y3)
    if (b <= (-2.2d+216)) then
        tmp = t_1
    else if (b <= (-2.6d+88)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-1.1d+75)) then
        tmp = t_1
    else if (b <= (-2.2d-57)) then
        tmp = (i * k) * ((y * y5) - (z * y1))
    else if (b <= (-8.2d-65)) then
        tmp = a * (y5 * t_3)
    else if (b <= (-2.9d-107)) then
        tmp = t_2
    else if (b <= (-1.1d-127)) then
        tmp = z * (y3 * ((a * y1) - (c * y0)))
    else if (b <= (-2.7d-239)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (b <= 2.1d-258) then
        tmp = y5 * (a * t_3)
    else if (b <= 1.85d-82) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 7.5d-64) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (b <= 3.6d-34) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 4.5d-9) then
        tmp = (y1 * y4) * ((k * y2) - (j * y3))
    else if (b <= 5.8d+94) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double t_2 = b * (t * ((j * y4) - (z * a)));
	double t_3 = (t * y2) - (y * y3);
	double tmp;
	if (b <= -2.2e+216) {
		tmp = t_1;
	} else if (b <= -2.6e+88) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.1e+75) {
		tmp = t_1;
	} else if (b <= -2.2e-57) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -8.2e-65) {
		tmp = a * (y5 * t_3);
	} else if (b <= -2.9e-107) {
		tmp = t_2;
	} else if (b <= -1.1e-127) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (b <= -2.7e-239) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 2.1e-258) {
		tmp = y5 * (a * t_3);
	} else if (b <= 1.85e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 7.5e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 3.6e-34) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 4.5e-9) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 5.8e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	t_2 = b * (t * ((j * y4) - (z * a)))
	t_3 = (t * y2) - (y * y3)
	tmp = 0
	if b <= -2.2e+216:
		tmp = t_1
	elif b <= -2.6e+88:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -1.1e+75:
		tmp = t_1
	elif b <= -2.2e-57:
		tmp = (i * k) * ((y * y5) - (z * y1))
	elif b <= -8.2e-65:
		tmp = a * (y5 * t_3)
	elif b <= -2.9e-107:
		tmp = t_2
	elif b <= -1.1e-127:
		tmp = z * (y3 * ((a * y1) - (c * y0)))
	elif b <= -2.7e-239:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif b <= 2.1e-258:
		tmp = y5 * (a * t_3)
	elif b <= 1.85e-82:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 7.5e-64:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif b <= 3.6e-34:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 4.5e-9:
		tmp = (y1 * y4) * ((k * y2) - (j * y3))
	elif b <= 5.8e+94:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	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(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	t_2 = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))))
	t_3 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (b <= -2.2e+216)
		tmp = t_1;
	elseif (b <= -2.6e+88)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -1.1e+75)
		tmp = t_1;
	elseif (b <= -2.2e-57)
		tmp = Float64(Float64(i * k) * Float64(Float64(y * y5) - Float64(z * y1)));
	elseif (b <= -8.2e-65)
		tmp = Float64(a * Float64(y5 * t_3));
	elseif (b <= -2.9e-107)
		tmp = t_2;
	elseif (b <= -1.1e-127)
		tmp = Float64(z * Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (b <= -2.7e-239)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (b <= 2.1e-258)
		tmp = Float64(y5 * Float64(a * t_3));
	elseif (b <= 1.85e-82)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 7.5e-64)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (b <= 3.6e-34)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 4.5e-9)
		tmp = Float64(Float64(y1 * y4) * Float64(Float64(k * y2) - Float64(j * y3)));
	elseif (b <= 5.8e+94)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	t_2 = b * (t * ((j * y4) - (z * a)));
	t_3 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (b <= -2.2e+216)
		tmp = t_1;
	elseif (b <= -2.6e+88)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -1.1e+75)
		tmp = t_1;
	elseif (b <= -2.2e-57)
		tmp = (i * k) * ((y * y5) - (z * y1));
	elseif (b <= -8.2e-65)
		tmp = a * (y5 * t_3);
	elseif (b <= -2.9e-107)
		tmp = t_2;
	elseif (b <= -1.1e-127)
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	elseif (b <= -2.7e-239)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (b <= 2.1e-258)
		tmp = y5 * (a * t_3);
	elseif (b <= 1.85e-82)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 7.5e-64)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (b <= 3.6e-34)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 4.5e-9)
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	elseif (b <= 5.8e+94)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	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[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.2e+216], t$95$1, If[LessEqual[b, -2.6e+88], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.1e+75], t$95$1, If[LessEqual[b, -2.2e-57], N[(N[(i * k), $MachinePrecision] * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8.2e-65], N[(a * N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.9e-107], t$95$2, If[LessEqual[b, -1.1e-127], N[(z * N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.7e-239], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.1e-258], N[(y5 * N[(a * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.85e-82], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7.5e-64], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.6e-34], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.5e-9], N[(N[(y1 * y4), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.8e+94], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if b < -2.2e216 or -2.6000000000000001e88 < b < -1.10000000000000006e75

   1. Initial program 17.1%

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

   3. Simplified 17.1%

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

   4. Taylor expanded in b around inf 55.6%

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

   5. Taylor expanded in y0 around inf 72.6%

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

   if -2.2e216 < b < -2.6000000000000001e88

   1. Initial program 8.5%

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

   3. Simplified 8.5%

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

   4. Taylor expanded in y4 around inf 56.3%

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

   5. Taylor expanded in b around inf 68.3%

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

   if -1.10000000000000006e75 < b < -2.19999999999999999e-57

   1. Initial program 30.3%

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

   3. Simplified 39.1%

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

   4. Taylor expanded in k around inf 48.0%

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

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

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

      2. *-commutative 43.9%

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

      3. mul-1-neg 43.9%

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

      4. unsub-neg 43.9%

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

      5. *-commutative 43.9%

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

   7. Simplified 43.9%

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

   if -2.19999999999999999e-57 < b < -8.19999999999999975e-65

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y5 around inf 50.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in a around inf 100.0%

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

   if -8.19999999999999975e-65 < b < -2.8999999999999998e-107 or 5.7999999999999997e94 < b

   1. Initial program 22.0%

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

   3. Simplified 22.0%

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

   4. Taylor expanded in b around inf 54.8%

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

   5. Taylor expanded in t around -inf 45.0%

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

      1. mul-1-neg 45.0%

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

      2. associate-*r* 51.6%

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

      3. distribute-lft-neg-in 51.6%

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

      4. *-commutative 51.6%

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

      5. distribute-rgt-neg-in 51.6%

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

      6. +-commutative 51.6%

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

      7. mul-1-neg 51.6%

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

      8. unsub-neg 51.6%

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

      9. *-commutative 51.6%

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

   7. Simplified 51.6%

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

   if -2.8999999999999998e-107 < b < -1.1000000000000001e-127

   1. Initial program 66.7%

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

   3. Simplified 66.7%

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

   4. Taylor expanded in z around -inf 83.3%

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

      1. mul-1-neg 83.3%

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

      2. associate--l+ 83.3%

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

   6. Simplified 83.3%

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

   7. Taylor expanded in y3 around inf 83.5%

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

   if -1.1000000000000001e-127 < b < -2.7000000000000001e-239

   1. Initial program 31.2%

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

   3. Simplified 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 y around inf 56.4%

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

      1. mul-1-neg 56.4%

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

   6. Simplified 56.4%

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

   7. Taylor expanded in y3 around inf 56.5%

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

   if -2.7000000000000001e-239 < b < 2.0999999999999999e-258

   1. Initial program 34.5%

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

   3. Simplified 34.5%

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

   4. Taylor expanded in y5 around inf 44.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.1%

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

   6. Simplified 44.1%

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

   7. Taylor expanded in i around 0 42.1%

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

   8. Taylor expanded in a around inf 35.8%

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

      1. associate-*r* 38.7%

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

      2. *-commutative 38.7%

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

   10. Simplified 38.7%

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

   if 2.0999999999999999e-258 < b < 1.85e-82

   1. Initial program 24.9%

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

   3. Simplified 32.1%

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

   4. Taylor expanded in k around inf 47.1%

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

   5. Taylor expanded in y1 around inf 47.3%

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

      1. mul-1-neg 47.3%

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

      2. unsub-neg 47.3%

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

   7. Simplified 47.3%

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

   if 1.85e-82 < b < 7.49999999999999949e-64

   1. Initial program 25.0%

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

   3. Simplified 25.0%

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

   4. Taylor expanded in y5 around inf 25.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 25.1%

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

   6. Simplified 25.1%

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

   7. Taylor expanded in i around inf 62.6%

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

      1. mul-1-neg 62.6%

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

      2. *-commutative 62.6%

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

      3. *-commutative 62.6%

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

      4. associate-*l* 62.6%

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

      5. *-commutative 62.6%

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

      6. distribute-rgt-neg-out 62.6%

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

      7. *-commutative 62.6%

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

      8. *-commutative 62.6%

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

      9. distribute-lft-neg-in 62.6%

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

   9. Simplified 62.6%

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

   if 7.49999999999999949e-64 < b < 3.60000000000000008e-34

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   7. Taylor expanded in a around inf 80.4%

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

      1. mul-1-neg 80.4%

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

      2. unsub-neg 80.4%

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

      3. *-commutative 80.4%

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

      4. *-commutative 80.4%

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

   9. Simplified 80.4%

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

   if 3.60000000000000008e-34 < b < 4.49999999999999976e-9

   1. Initial program 12.5%

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

   3. Simplified 12.5%

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

   4. Taylor expanded in y4 around inf 62.5%

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

   5. Taylor expanded in y1 around inf 76.3%

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

      1. associate-*r* 88.0%

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

   7. Simplified 88.0%

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

   if 4.49999999999999976e-9 < b < 5.7999999999999997e94

   1. Initial program 35.2%

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

   3. Simplified 35.2%

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

   4. Taylor expanded in y4 around inf 48.7%

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

   5. Taylor expanded in j around inf 52.6%

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

      1. mul-1-neg 52.6%

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

      2. unsub-neg 52.6%

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

      3. *-commutative 52.6%

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

      4. *-commutative 52.6%

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

   7. Simplified 52.6%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 56.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.2 \cdot 10^{+216}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{+88}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{+75}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-57}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -8.2 \cdot 10^{-65}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -2.9 \cdot 10^{-107}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{-127}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{-239}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{-258}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 1.85 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-34}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-9}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 14: 31.1% accurate, 2.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{if}\;b \leq -2.5 \cdot 10^{+214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -7 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{+62}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{+50}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;b \leq -3.3 \cdot 10^{-59}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -6.5 \cdot 10^{-207}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-250}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.2 \cdot 10^{-252}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 6.1 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 3.2 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 3.55 \cdot 10^{-9}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{+16}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j)))))
   (if (<= b -2.5e+214)
     t_1
     (if (<= b -7e+87)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -1.15e+62)
         t_1
         (if (<= b -2.7e+50)
           (* (* y b) (- (* x a) (* k y4)))
           (if (<= b -3.3e-59)
             (*
              y2
              (+ (* k (- (* y1 y4) (* y0 y5))) (* t (- (* a y5) (* c y4)))))
             (if (<= b -6.5e-207)
               (* a (* y (- (* x b) (* y3 y5))))
               (if (<= b -3e-250)
                 (* y5 (* k (- (* y i) (* y0 y2))))
                 (if (<= b 1.2e-252)
                   (* y5 (* a (- (* t y2) (* y y3))))
                   (if (<= b 2.45e-82)
                     (* k (* y1 (- (* y2 y4) (* z i))))
                     (if (<= b 6.1e-64)
                       (* (* i y5) (- (* y k) (* t j)))
                       (if (<= b 3.2e-36)
                         (* z (* a (- (* y1 y3) (* t b))))
                         (if (<= b 3.55e-9)
                           (* (* y1 y4) (- (* k y2) (* j y3)))
                           (if (<= b 2.05e+16)
                             (* k (* z (- (* b y0) (* i y1))))
                             (if (<= b 4.6e+94)
                               (* y4 (* j (- (* t b) (* y1 y3))))
                               (* b (* t (- (* j y4) (* z a))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -2.5e+214) {
		tmp = t_1;
	} else if (b <= -7e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.15e+62) {
		tmp = t_1;
	} else if (b <= -2.7e+50) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (b <= -3.3e-59) {
		tmp = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= -6.5e-207) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (b <= -3e-250) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 1.2e-252) {
		tmp = y5 * (a * ((t * y2) - (y * y3)));
	} else if (b <= 2.45e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 6.1e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 3.2e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 3.55e-9) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 2.05e+16) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (b <= 4.6e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    if (b <= (-2.5d+214)) then
        tmp = t_1
    else if (b <= (-7d+87)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-1.15d+62)) then
        tmp = t_1
    else if (b <= (-2.7d+50)) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (b <= (-3.3d-59)) then
        tmp = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))))
    else if (b <= (-6.5d-207)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (b <= (-3d-250)) then
        tmp = y5 * (k * ((y * i) - (y0 * y2)))
    else if (b <= 1.2d-252) then
        tmp = y5 * (a * ((t * y2) - (y * y3)))
    else if (b <= 2.45d-82) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 6.1d-64) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (b <= 3.2d-36) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 3.55d-9) then
        tmp = (y1 * y4) * ((k * y2) - (j * y3))
    else if (b <= 2.05d+16) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (b <= 4.6d+94) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = b * (t * ((j * y4) - (z * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -2.5e+214) {
		tmp = t_1;
	} else if (b <= -7e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.15e+62) {
		tmp = t_1;
	} else if (b <= -2.7e+50) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (b <= -3.3e-59) {
		tmp = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= -6.5e-207) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (b <= -3e-250) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 1.2e-252) {
		tmp = y5 * (a * ((t * y2) - (y * y3)));
	} else if (b <= 2.45e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 6.1e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 3.2e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 3.55e-9) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 2.05e+16) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (b <= 4.6e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	tmp = 0
	if b <= -2.5e+214:
		tmp = t_1
	elif b <= -7e+87:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -1.15e+62:
		tmp = t_1
	elif b <= -2.7e+50:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif b <= -3.3e-59:
		tmp = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))))
	elif b <= -6.5e-207:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif b <= -3e-250:
		tmp = y5 * (k * ((y * i) - (y0 * y2)))
	elif b <= 1.2e-252:
		tmp = y5 * (a * ((t * y2) - (y * y3)))
	elif b <= 2.45e-82:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 6.1e-64:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif b <= 3.2e-36:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 3.55e-9:
		tmp = (y1 * y4) * ((k * y2) - (j * y3))
	elif b <= 2.05e+16:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif b <= 4.6e+94:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	else:
		tmp = b * (t * ((j * y4) - (z * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	tmp = 0.0
	if (b <= -2.5e+214)
		tmp = t_1;
	elseif (b <= -7e+87)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -1.15e+62)
		tmp = t_1;
	elseif (b <= -2.7e+50)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (b <= -3.3e-59)
		tmp = Float64(y2 * Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (b <= -6.5e-207)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (b <= -3e-250)
		tmp = Float64(y5 * Float64(k * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (b <= 1.2e-252)
		tmp = Float64(y5 * Float64(a * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (b <= 2.45e-82)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 6.1e-64)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (b <= 3.2e-36)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 3.55e-9)
		tmp = Float64(Float64(y1 * y4) * Float64(Float64(k * y2) - Float64(j * y3)));
	elseif (b <= 2.05e+16)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (b <= 4.6e+94)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	tmp = 0.0;
	if (b <= -2.5e+214)
		tmp = t_1;
	elseif (b <= -7e+87)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -1.15e+62)
		tmp = t_1;
	elseif (b <= -2.7e+50)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (b <= -3.3e-59)
		tmp = y2 * ((k * ((y1 * y4) - (y0 * y5))) + (t * ((a * y5) - (c * y4))));
	elseif (b <= -6.5e-207)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (b <= -3e-250)
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	elseif (b <= 1.2e-252)
		tmp = y5 * (a * ((t * y2) - (y * y3)));
	elseif (b <= 2.45e-82)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 6.1e-64)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (b <= 3.2e-36)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 3.55e-9)
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	elseif (b <= 2.05e+16)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (b <= 4.6e+94)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	else
		tmp = b * (t * ((j * y4) - (z * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.5e+214], t$95$1, If[LessEqual[b, -7e+87], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.15e+62], t$95$1, If[LessEqual[b, -2.7e+50], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.3e-59], N[(y2 * N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6.5e-207], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3e-250], N[(y5 * N[(k * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.2e-252], N[(y5 * N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.45e-82], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.1e-64], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.2e-36], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.55e-9], N[(N[(y1 * y4), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.05e+16], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.6e+94], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 14 regimes

2. if b < -2.49999999999999977e214 or -6.99999999999999972e87 < b < -1.14999999999999992e62

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in b around inf 50.0%

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

   5. Taylor expanded in y0 around inf 70.5%

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

   if -2.49999999999999977e214 < b < -6.99999999999999972e87

   1. Initial program 8.5%

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

   3. Simplified 8.5%

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

   4. Taylor expanded in y4 around inf 56.3%

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

   5. Taylor expanded in b around inf 68.3%

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

   if -1.14999999999999992e62 < b < -2.7e50

   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 24.6%

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

   4. Taylor expanded in y around inf 75.2%

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

      1. mul-1-neg 75.2%

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

   6. Simplified 75.2%

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

   7. Taylor expanded in b around inf 75.5%

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

      1. associate-*r* 75.5%

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

      2. *-commutative 75.5%

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

      3. *-commutative 75.5%

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

   9. Simplified 75.5%

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

   if -2.7e50 < b < -3.29999999999999982e-59

   1. Initial program 33.2%

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

   3. Simplified 33.2%

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

   4. Taylor expanded in y5 around inf 58.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 58.5%

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

   6. Simplified 58.5%

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

   7. Taylor expanded in y2 around inf 57.8%

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

   if -3.29999999999999982e-59 < b < -6.5000000000000001e-207

   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 47.8%

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

   4. Taylor expanded in y around inf 52.3%

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

      1. mul-1-neg 52.3%

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

   6. Simplified 52.3%

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

   7. Taylor expanded in a around -inf 52.7%

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

      1. associate-*r* 52.7%

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

      2. neg-mul-1 52.7%

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

      3. +-commutative 52.7%

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

      4. mul-1-neg 52.7%

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

      5. unsub-neg 52.7%

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

   9. Simplified 52.7%

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

   if -6.5000000000000001e-207 < b < -3.00000000000000016e-250

   1. Initial program 44.3%

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

   3. Simplified 44.3%

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

   4. Taylor expanded in k around inf 56.6%

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

   5. Taylor expanded in y5 around inf 46.8%

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

      1. associate-*r* 57.0%

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

      2. mul-1-neg 57.0%

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

      3. unsub-neg 57.0%

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

      4. *-commutative 57.0%

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

      5. *-commutative 57.0%

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

   7. Simplified 57.0%

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

   if -3.00000000000000016e-250 < b < 1.2000000000000001e-252

   1. Initial program 36.8%

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

   3. Simplified 36.8%

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

   4. Taylor expanded in y5 around inf 43.7%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 43.7%

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

   6. Simplified 43.7%

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

   7. Taylor expanded in i around 0 44.9%

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

   8. Taylor expanded in a around inf 38.1%

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

      1. associate-*r* 41.2%

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

      2. *-commutative 41.2%

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

   10. Simplified 41.2%

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

   if 1.2000000000000001e-252 < b < 2.4500000000000001e-82

   1. Initial program 24.9%

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

   3. Simplified 32.1%

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

   4. Taylor expanded in k around inf 47.1%

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

   5. Taylor expanded in y1 around inf 47.3%

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

      1. mul-1-neg 47.3%

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

      2. unsub-neg 47.3%

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

   7. Simplified 47.3%

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

   if 2.4500000000000001e-82 < b < 6.0999999999999996e-64

   1. Initial program 25.0%

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

   3. Simplified 25.0%

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

   4. Taylor expanded in y5 around inf 25.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 25.1%

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

   6. Simplified 25.1%

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

   7. Taylor expanded in i around inf 62.6%

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

      1. mul-1-neg 62.6%

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

      2. *-commutative 62.6%

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

      3. *-commutative 62.6%

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

      4. associate-*l* 62.6%

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

      5. *-commutative 62.6%

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

      6. distribute-rgt-neg-out 62.6%

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

      7. *-commutative 62.6%

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

      8. *-commutative 62.6%

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

      9. distribute-lft-neg-in 62.6%

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

   9. Simplified 62.6%

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

   if 6.0999999999999996e-64 < b < 3.20000000000000021e-36

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   7. Taylor expanded in a around inf 80.4%

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

      1. mul-1-neg 80.4%

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

      2. unsub-neg 80.4%

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

      3. *-commutative 80.4%

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

      4. *-commutative 80.4%

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

   9. Simplified 80.4%

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

   if 3.20000000000000021e-36 < b < 3.54999999999999994e-9

   1. Initial program 12.5%

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

   3. Simplified 12.5%

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

   4. Taylor expanded in y4 around inf 62.5%

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

   5. Taylor expanded in y1 around inf 76.3%

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

      1. associate-*r* 88.0%

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

   7. Simplified 88.0%

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

   if 3.54999999999999994e-9 < b < 2.05e16

   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 40.0%

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

   4. Taylor expanded in k around inf 41.8%

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

   5. Taylor expanded in z around inf 42.7%

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

   if 2.05e16 < b < 4.5999999999999999e94

   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 62.2%

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

   5. Taylor expanded in j around inf 61.5%

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

      1. mul-1-neg 61.5%

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

      2. unsub-neg 61.5%

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

      3. *-commutative 61.5%

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

      4. *-commutative 61.5%

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

   7. Simplified 61.5%

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

   if 4.5999999999999999e94 < b

   1. Initial program 20.2%

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

   3. Simplified 20.2%

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

   4. Taylor expanded in b around inf 56.2%

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

   5. Taylor expanded in t around -inf 49.0%

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

      1. mul-1-neg 49.0%

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

      2. associate-*r* 50.7%

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

      3. distribute-lft-neg-in 50.7%

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

      4. *-commutative 50.7%

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

      5. distribute-rgt-neg-in 50.7%

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

      6. +-commutative 50.7%

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

      7. mul-1-neg 50.7%

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

      8. unsub-neg 50.7%

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

      9. *-commutative 50.7%

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

   7. Simplified 50.7%

      \[\leadsto \color{blue}{\left(t \cdot \left(-\left(z \cdot a - y4 \cdot j\right)\right)\right) \cdot b} \]
3. Recombined 14 regimes into one program.

4. Final simplification 57.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.5 \cdot 10^{+214}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{+62}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{+50}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;b \leq -3.3 \cdot 10^{-59}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -6.5 \cdot 10^{-207}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-250}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.2 \cdot 10^{-252}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 6.1 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 3.2 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 3.55 \cdot 10^{-9}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{+16}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 15: 35.6% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot y2 - y \cdot y3\\ t_2 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{if}\;b \leq -1.05 \cdot 10^{+217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.9 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -6.1 \cdot 10^{+57}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{+40}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;b \leq -1.32 \cdot 10^{-117}:\\ \;\;\;\;\left(j \cdot y3\right) \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t_1 \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-105}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_1 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 5.3 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 2.25 \cdot 10^{-8}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t y2) (* y y3))) (t_2 (* (* b y0) (- (* z k) (* x j)))))
   (if (<= b -1.05e+217)
     t_2
     (if (<= b -4.9e+87)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -6.1e+57)
         t_2
         (if (<= b -6.8e+40)
           (* (* y b) (- (* x a) (* k y4)))
           (if (<= b -1.32e-117)
             (+
              (* (* j y3) (- (* y0 y5) (* y1 y4)))
              (* t_1 (- (* a y5) (* c y4))))
             (if (<= b 1.5e-105)
               (* y5 (+ (* a t_1) (* y0 (- (* j y3) (* k y2)))))
               (if (<= b 5.3e-64)
                 (* (* i y5) (- (* y k) (* t j)))
                 (if (<= b 2.2e-36)
                   (* z (* a (- (* y1 y3) (* t b))))
                   (if (<= b 2.25e-8)
                     (* (* y1 y4) (- (* k y2) (* j y3)))
                     (if (<= b 4e+94)
                       (* y4 (* j (- (* t b) (* y1 y3))))
                       (* b (* t (- (* j y4) (* z a))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * y2) - (y * y3);
	double t_2 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -1.05e+217) {
		tmp = t_2;
	} else if (b <= -4.9e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -6.1e+57) {
		tmp = t_2;
	} else if (b <= -6.8e+40) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (b <= -1.32e-117) {
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_1 * ((a * y5) - (c * y4)));
	} else if (b <= 1.5e-105) {
		tmp = y5 * ((a * t_1) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 5.3e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 2.2e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 2.25e-8) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 4e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (t * y2) - (y * y3)
    t_2 = (b * y0) * ((z * k) - (x * j))
    if (b <= (-1.05d+217)) then
        tmp = t_2
    else if (b <= (-4.9d+87)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-6.1d+57)) then
        tmp = t_2
    else if (b <= (-6.8d+40)) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (b <= (-1.32d-117)) then
        tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_1 * ((a * y5) - (c * y4)))
    else if (b <= 1.5d-105) then
        tmp = y5 * ((a * t_1) + (y0 * ((j * y3) - (k * y2))))
    else if (b <= 5.3d-64) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (b <= 2.2d-36) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 2.25d-8) then
        tmp = (y1 * y4) * ((k * y2) - (j * y3))
    else if (b <= 4d+94) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = b * (t * ((j * y4) - (z * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * y2) - (y * y3);
	double t_2 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -1.05e+217) {
		tmp = t_2;
	} else if (b <= -4.9e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -6.1e+57) {
		tmp = t_2;
	} else if (b <= -6.8e+40) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (b <= -1.32e-117) {
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_1 * ((a * y5) - (c * y4)));
	} else if (b <= 1.5e-105) {
		tmp = y5 * ((a * t_1) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 5.3e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 2.2e-36) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 2.25e-8) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 4e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * y2) - (y * y3)
	t_2 = (b * y0) * ((z * k) - (x * j))
	tmp = 0
	if b <= -1.05e+217:
		tmp = t_2
	elif b <= -4.9e+87:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -6.1e+57:
		tmp = t_2
	elif b <= -6.8e+40:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif b <= -1.32e-117:
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_1 * ((a * y5) - (c * y4)))
	elif b <= 1.5e-105:
		tmp = y5 * ((a * t_1) + (y0 * ((j * y3) - (k * y2))))
	elif b <= 5.3e-64:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif b <= 2.2e-36:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 2.25e-8:
		tmp = (y1 * y4) * ((k * y2) - (j * y3))
	elif b <= 4e+94:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	else:
		tmp = b * (t * ((j * y4) - (z * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * y2) - Float64(y * y3))
	t_2 = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	tmp = 0.0
	if (b <= -1.05e+217)
		tmp = t_2;
	elseif (b <= -4.9e+87)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -6.1e+57)
		tmp = t_2;
	elseif (b <= -6.8e+40)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (b <= -1.32e-117)
		tmp = Float64(Float64(Float64(j * y3) * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(t_1 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= 1.5e-105)
		tmp = Float64(y5 * Float64(Float64(a * t_1) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (b <= 5.3e-64)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (b <= 2.2e-36)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 2.25e-8)
		tmp = Float64(Float64(y1 * y4) * Float64(Float64(k * y2) - Float64(j * y3)));
	elseif (b <= 4e+94)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * y2) - (y * y3);
	t_2 = (b * y0) * ((z * k) - (x * j));
	tmp = 0.0;
	if (b <= -1.05e+217)
		tmp = t_2;
	elseif (b <= -4.9e+87)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -6.1e+57)
		tmp = t_2;
	elseif (b <= -6.8e+40)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (b <= -1.32e-117)
		tmp = ((j * y3) * ((y0 * y5) - (y1 * y4))) + (t_1 * ((a * y5) - (c * y4)));
	elseif (b <= 1.5e-105)
		tmp = y5 * ((a * t_1) + (y0 * ((j * y3) - (k * y2))));
	elseif (b <= 5.3e-64)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (b <= 2.2e-36)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 2.25e-8)
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	elseif (b <= 4e+94)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	else
		tmp = b * (t * ((j * y4) - (z * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.05e+217], t$95$2, If[LessEqual[b, -4.9e+87], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6.1e+57], t$95$2, If[LessEqual[b, -6.8e+40], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.32e-117], N[(N[(N[(j * y3), $MachinePrecision] * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.5e-105], N[(y5 * N[(N[(a * t$95$1), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.3e-64], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.2e-36], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.25e-8], N[(N[(y1 * y4), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4e+94], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if b < -1.05e217 or -4.89999999999999971e87 < b < -6.09999999999999975e57

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in b around inf 50.0%

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

   5. Taylor expanded in y0 around inf 70.5%

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

   if -1.05e217 < b < -4.89999999999999971e87

   1. Initial program 8.5%

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

   3. Simplified 8.5%

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

   4. Taylor expanded in y4 around inf 56.3%

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

   5. Taylor expanded in b around inf 68.3%

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

   if -6.09999999999999975e57 < b < -6.79999999999999977e40

   1. Initial program 14.1%

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

   3. Simplified 28.3%

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

   4. Taylor expanded in y around inf 71.5%

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

      1. mul-1-neg 71.5%

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

   6. Simplified 71.5%

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

   7. Taylor expanded in b around inf 57.5%

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

      1. associate-*r* 57.5%

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

      2. *-commutative 57.5%

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

      3. *-commutative 57.5%

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

   9. Simplified 57.5%

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

   if -6.79999999999999977e40 < b < -1.32e-117

   1. Initial program 44.4%

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

   3. Simplified 44.4%

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

   4. Taylor expanded in y5 around inf 53.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 53.8%

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

   6. Simplified 53.8%

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

   7. Taylor expanded in i around 0 58.2%

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

   8. Taylor expanded in k around 0 58.9%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(y3 \cdot j\right)\right)} \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 58.9%

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

      2. distribute-rgt-neg-in 58.9%

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

   10. Simplified 58.9%

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

   if -1.32e-117 < b < 1.5e-105

   1. Initial program 33.3%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in y5 around inf 41.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 41.0%

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

   6. Simplified 41.0%

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

   7. Taylor expanded in i around 0 44.4%

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

   8. Taylor expanded in y5 around -inf 48.9%

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

   if 1.5e-105 < b < 5.3000000000000002e-64

   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%

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

   4. Taylor expanded in y5 around inf 24.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 24.3%

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

   6. Simplified 24.3%

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

   7. Taylor expanded in i around inf 42.2%

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

      1. mul-1-neg 42.2%

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

      2. *-commutative 42.2%

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

      3. *-commutative 42.2%

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

      4. associate-*l* 36.6%

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

      5. *-commutative 36.6%

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

      6. distribute-rgt-neg-out 36.6%

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

      7. *-commutative 36.6%

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

      8. *-commutative 36.6%

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

      9. distribute-lft-neg-in 36.6%

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

   9. Simplified 36.6%

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

   if 5.3000000000000002e-64 < b < 2.1999999999999999e-36

   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 z around -inf 80.0%

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

      1. mul-1-neg 80.0%

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

      2. associate--l+ 80.0%

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

   6. Simplified 80.0%

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

   7. Taylor expanded in a around inf 80.4%

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

      1. mul-1-neg 80.4%

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

      2. unsub-neg 80.4%

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

      3. *-commutative 80.4%

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

      4. *-commutative 80.4%

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

   9. Simplified 80.4%

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

   if 2.1999999999999999e-36 < b < 2.24999999999999996e-8

   1. Initial program 12.5%

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

   3. Simplified 12.5%

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

   4. Taylor expanded in y4 around inf 62.5%

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

   5. Taylor expanded in y1 around inf 76.3%

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

      1. associate-*r* 88.0%

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

   7. Simplified 88.0%

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

   if 2.24999999999999996e-8 < b < 4.0000000000000001e94

   1. Initial program 35.2%

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

   3. Simplified 35.2%

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

   4. Taylor expanded in y4 around inf 48.7%

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

   5. Taylor expanded in j around inf 52.6%

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

      1. mul-1-neg 52.6%

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

      2. unsub-neg 52.6%

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

      3. *-commutative 52.6%

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

      4. *-commutative 52.6%

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

   7. Simplified 52.6%

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

   if 4.0000000000000001e94 < b

   1. Initial program 20.2%

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

   3. Simplified 20.2%

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

   4. Taylor expanded in b around inf 56.2%

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

   5. Taylor expanded in t around -inf 49.0%

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

      1. mul-1-neg 49.0%

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

      2. associate-*r* 50.7%

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

      3. distribute-lft-neg-in 50.7%

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

      4. *-commutative 50.7%

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

      5. distribute-rgt-neg-in 50.7%

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

      6. +-commutative 50.7%

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

      7. mul-1-neg 50.7%

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

      8. unsub-neg 50.7%

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

      9. *-commutative 50.7%

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

   7. Simplified 50.7%

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

4. Final simplification 56.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.05 \cdot 10^{+217}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -4.9 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -6.1 \cdot 10^{+57}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{+40}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;b \leq -1.32 \cdot 10^{-117}:\\ \;\;\;\;\left(j \cdot y3\right) \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-105}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 5.3 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 2.25 \cdot 10^{-8}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 16: 31.7% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{if}\;b \leq -5.4 \cdot 10^{+213}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.15 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.9 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{-57}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-64}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -3.5 \cdot 10^{-107}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-248}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{-41}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+93}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 9.2 \cdot 10^{+231}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{+286}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j)))))
   (if (<= b -5.4e+213)
     t_1
     (if (<= b -3.15e+87)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -1.9e+75)
         t_1
         (if (<= b -6.8e-57)
           (* (* i k) (- (* y y5) (* z y1)))
           (if (<= b -1.75e-64)
             (* a (* y5 (- (* t y2) (* y y3))))
             (if (<= b -3.5e-107)
               (* y (* x (- (* a b) (* c i))))
               (if (<= b 1.5e-248)
                 (* y (* y3 (- (* c y4) (* a y5))))
                 (if (<= b 4.5e-82)
                   (* k (* y1 (- (* y2 y4) (* z i))))
                   (if (<= b 5.8e-41)
                     (* y5 (* k (- (* y i) (* y0 y2))))
                     (if (<= b 6.4e+93)
                       (* y4 (* j (- (* t b) (* y1 y3))))
                       (if (<= b 9.2e+231)
                         (* (* t b) (- (* j y4) (* z a)))
                         (if (<= b 3.6e+286)
                           (* k (* b (- (* z y0) (* y y4))))
                           (* c (* y4 (- (* y y3) (* t y2))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -5.4e+213) {
		tmp = t_1;
	} else if (b <= -3.15e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.9e+75) {
		tmp = t_1;
	} else if (b <= -6.8e-57) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -1.75e-64) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= -3.5e-107) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (b <= 1.5e-248) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 4.5e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 5.8e-41) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 6.4e+93) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if (b <= 9.2e+231) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (b <= 3.6e+286) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    if (b <= (-5.4d+213)) then
        tmp = t_1
    else if (b <= (-3.15d+87)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-1.9d+75)) then
        tmp = t_1
    else if (b <= (-6.8d-57)) then
        tmp = (i * k) * ((y * y5) - (z * y1))
    else if (b <= (-1.75d-64)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (b <= (-3.5d-107)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (b <= 1.5d-248) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (b <= 4.5d-82) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 5.8d-41) then
        tmp = y5 * (k * ((y * i) - (y0 * y2)))
    else if (b <= 6.4d+93) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else if (b <= 9.2d+231) then
        tmp = (t * b) * ((j * y4) - (z * a))
    else if (b <= 3.6d+286) then
        tmp = k * (b * ((z * y0) - (y * y4)))
    else
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -5.4e+213) {
		tmp = t_1;
	} else if (b <= -3.15e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.9e+75) {
		tmp = t_1;
	} else if (b <= -6.8e-57) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -1.75e-64) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= -3.5e-107) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (b <= 1.5e-248) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 4.5e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 5.8e-41) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 6.4e+93) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if (b <= 9.2e+231) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (b <= 3.6e+286) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	tmp = 0
	if b <= -5.4e+213:
		tmp = t_1
	elif b <= -3.15e+87:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -1.9e+75:
		tmp = t_1
	elif b <= -6.8e-57:
		tmp = (i * k) * ((y * y5) - (z * y1))
	elif b <= -1.75e-64:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif b <= -3.5e-107:
		tmp = y * (x * ((a * b) - (c * i)))
	elif b <= 1.5e-248:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif b <= 4.5e-82:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 5.8e-41:
		tmp = y5 * (k * ((y * i) - (y0 * y2)))
	elif b <= 6.4e+93:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	elif b <= 9.2e+231:
		tmp = (t * b) * ((j * y4) - (z * a))
	elif b <= 3.6e+286:
		tmp = k * (b * ((z * y0) - (y * y4)))
	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(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	tmp = 0.0
	if (b <= -5.4e+213)
		tmp = t_1;
	elseif (b <= -3.15e+87)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -1.9e+75)
		tmp = t_1;
	elseif (b <= -6.8e-57)
		tmp = Float64(Float64(i * k) * Float64(Float64(y * y5) - Float64(z * y1)));
	elseif (b <= -1.75e-64)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (b <= -3.5e-107)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (b <= 1.5e-248)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (b <= 4.5e-82)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 5.8e-41)
		tmp = Float64(y5 * Float64(k * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (b <= 6.4e+93)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (b <= 9.2e+231)
		tmp = Float64(Float64(t * b) * Float64(Float64(j * y4) - Float64(z * a)));
	elseif (b <= 3.6e+286)
		tmp = Float64(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))));
	else
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	tmp = 0.0;
	if (b <= -5.4e+213)
		tmp = t_1;
	elseif (b <= -3.15e+87)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -1.9e+75)
		tmp = t_1;
	elseif (b <= -6.8e-57)
		tmp = (i * k) * ((y * y5) - (z * y1));
	elseif (b <= -1.75e-64)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (b <= -3.5e-107)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (b <= 1.5e-248)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (b <= 4.5e-82)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 5.8e-41)
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	elseif (b <= 6.4e+93)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	elseif (b <= 9.2e+231)
		tmp = (t * b) * ((j * y4) - (z * a));
	elseif (b <= 3.6e+286)
		tmp = k * (b * ((z * y0) - (y * y4)));
	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[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -5.4e+213], t$95$1, If[LessEqual[b, -3.15e+87], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.9e+75], t$95$1, If[LessEqual[b, -6.8e-57], N[(N[(i * k), $MachinePrecision] * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.75e-64], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.5e-107], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.5e-248], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.5e-82], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.8e-41], N[(y5 * N[(k * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.4e+93], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 9.2e+231], N[(N[(t * b), $MachinePrecision] * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.6e+286], N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if b < -5.4000000000000002e213 or -3.15e87 < b < -1.9000000000000001e75

   1. Initial program 17.1%

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

   3. Simplified 17.1%

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

   4. Taylor expanded in b around inf 55.6%

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

   5. Taylor expanded in y0 around inf 72.6%

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

   if -5.4000000000000002e213 < b < -3.15e87

   1. Initial program 8.5%

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

   3. Simplified 8.5%

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

   4. Taylor expanded in y4 around inf 56.3%

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

   5. Taylor expanded in b around inf 68.3%

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

   if -1.9000000000000001e75 < b < -6.80000000000000032e-57

   1. Initial program 30.3%

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

   3. Simplified 39.1%

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

   4. Taylor expanded in k around inf 48.0%

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

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

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

      2. *-commutative 43.9%

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

      3. mul-1-neg 43.9%

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

      4. unsub-neg 43.9%

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

      5. *-commutative 43.9%

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

   7. Simplified 43.9%

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

   if -6.80000000000000032e-57 < b < -1.7500000000000002e-64

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y5 around inf 50.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in a around inf 100.0%

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

   if -1.7500000000000002e-64 < b < -3.49999999999999985e-107

   1. Initial program 40.0%

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

   3. Simplified 40.0%

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

   4. Taylor expanded in y around inf 40.2%

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

      1. mul-1-neg 40.2%

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

   6. Simplified 40.2%

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

   7. Taylor expanded in x around inf 60.3%

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

      1. *-commutative 60.3%

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

   9. Simplified 60.3%

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

   if -3.49999999999999985e-107 < b < 1.50000000000000007e-248

   1. Initial program 37.1%

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

   3. Simplified 40.8%

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

   4. Taylor expanded in y around inf 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   7. Taylor expanded in y3 around inf 39.6%

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

   if 1.50000000000000007e-248 < b < 4.4999999999999998e-82

   1. Initial program 24.9%

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

   3. Simplified 32.1%

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

   4. Taylor expanded in k around inf 47.1%

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

   5. Taylor expanded in y1 around inf 47.3%

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

      1. mul-1-neg 47.3%

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

      2. unsub-neg 47.3%

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

   7. Simplified 47.3%

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

   if 4.4999999999999998e-82 < b < 5.79999999999999955e-41

   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 56.3%

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

   4. Taylor expanded in k around inf 31.6%

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

   5. Taylor expanded in y5 around inf 44.6%

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

      1. associate-*r* 50.4%

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

      2. mul-1-neg 50.4%

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

      3. unsub-neg 50.4%

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

      4. *-commutative 50.4%

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

      5. *-commutative 50.4%

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

   7. Simplified 50.4%

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

   if 5.79999999999999955e-41 < b < 6.4000000000000003e93

   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 33.6%

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

   4. Taylor expanded in y4 around inf 49.1%

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

   5. Taylor expanded in j around inf 51.9%

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

      1. mul-1-neg 51.9%

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

      2. unsub-neg 51.9%

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

      3. *-commutative 51.9%

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

      4. *-commutative 51.9%

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

   7. Simplified 51.9%

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

   if 6.4000000000000003e93 < b < 9.19999999999999997e231

   1. Initial program 21.5%

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

   3. Simplified 21.5%

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

   4. Taylor expanded in b around inf 48.8%

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

   5. Taylor expanded in t around inf 52.5%

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

      1. mul-1-neg 52.5%

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

      2. unsub-neg 52.5%

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

      3. *-commutative 52.5%

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

   7. Simplified 52.5%

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

   if 9.19999999999999997e231 < b < 3.6e286

   1. Initial program 15.4%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in k around inf 46.2%

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

   5. Taylor expanded in b around inf 69.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 69.2%

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

      2. mul-1-neg 69.2%

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

      3. unsub-neg 69.2%

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

      4. *-commutative 69.2%

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

   7. Simplified 69.2%

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

   if 3.6e286 < b

   1. Initial program 25.0%

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

   3. Simplified 25.0%

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

   4. Taylor expanded in y4 around inf 75.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 100.0%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 53.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -5.4 \cdot 10^{+213}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -3.15 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.9 \cdot 10^{+75}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{-57}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-64}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -3.5 \cdot 10^{-107}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-248}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{-41}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+93}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 9.2 \cdot 10^{+231}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{+286}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]

Alternative 17: 31.2% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ t_2 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;b \leq -8.4 \cdot 10^{+214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.25 \cdot 10^{+88}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -6 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-58}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -9 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(y5 \cdot t_2\right)\\ \mathbf{elif}\;b \leq -5.2 \cdot 10^{-108}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{-131}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-240}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{-259}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_2\right)\\ \mathbf{elif}\;b \leq 4.3 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 3.05 \cdot 10^{-40}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+93}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j)))) (t_2 (- (* t y2) (* y y3))))
   (if (<= b -8.4e+214)
     t_1
     (if (<= b -1.25e+88)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -6e+74)
         t_1
         (if (<= b -3e-58)
           (* (* i k) (- (* y y5) (* z y1)))
           (if (<= b -9e-66)
             (* a (* y5 t_2))
             (if (<= b -5.2e-108)
               (* y (* x (- (* a b) (* c i))))
               (if (<= b -2.6e-131)
                 (* z (* y3 (- (* a y1) (* c y0))))
                 (if (<= b -2.2e-240)
                   (* y (* y3 (- (* c y4) (* a y5))))
                   (if (<= b 2.4e-259)
                     (* y5 (* a t_2))
                     (if (<= b 4.3e-82)
                       (* k (* y1 (- (* y2 y4) (* z i))))
                       (if (<= b 3.05e-40)
                         (* y5 (* k (- (* y i) (* y0 y2))))
                         (if (<= b 6.4e+93)
                           (* y4 (* j (- (* t b) (* y1 y3))))
                           (* z (* a (- (* y1 y3) (* t b))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double t_2 = (t * y2) - (y * y3);
	double tmp;
	if (b <= -8.4e+214) {
		tmp = t_1;
	} else if (b <= -1.25e+88) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -6e+74) {
		tmp = t_1;
	} else if (b <= -3e-58) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -9e-66) {
		tmp = a * (y5 * t_2);
	} else if (b <= -5.2e-108) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (b <= -2.6e-131) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (b <= -2.2e-240) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 2.4e-259) {
		tmp = y5 * (a * t_2);
	} else if (b <= 4.3e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 3.05e-40) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 6.4e+93) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    t_2 = (t * y2) - (y * y3)
    if (b <= (-8.4d+214)) then
        tmp = t_1
    else if (b <= (-1.25d+88)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-6d+74)) then
        tmp = t_1
    else if (b <= (-3d-58)) then
        tmp = (i * k) * ((y * y5) - (z * y1))
    else if (b <= (-9d-66)) then
        tmp = a * (y5 * t_2)
    else if (b <= (-5.2d-108)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (b <= (-2.6d-131)) then
        tmp = z * (y3 * ((a * y1) - (c * y0)))
    else if (b <= (-2.2d-240)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (b <= 2.4d-259) then
        tmp = y5 * (a * t_2)
    else if (b <= 4.3d-82) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 3.05d-40) then
        tmp = y5 * (k * ((y * i) - (y0 * y2)))
    else if (b <= 6.4d+93) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = z * (a * ((y1 * y3) - (t * b)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double t_2 = (t * y2) - (y * y3);
	double tmp;
	if (b <= -8.4e+214) {
		tmp = t_1;
	} else if (b <= -1.25e+88) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -6e+74) {
		tmp = t_1;
	} else if (b <= -3e-58) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -9e-66) {
		tmp = a * (y5 * t_2);
	} else if (b <= -5.2e-108) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (b <= -2.6e-131) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (b <= -2.2e-240) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 2.4e-259) {
		tmp = y5 * (a * t_2);
	} else if (b <= 4.3e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 3.05e-40) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 6.4e+93) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	t_2 = (t * y2) - (y * y3)
	tmp = 0
	if b <= -8.4e+214:
		tmp = t_1
	elif b <= -1.25e+88:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -6e+74:
		tmp = t_1
	elif b <= -3e-58:
		tmp = (i * k) * ((y * y5) - (z * y1))
	elif b <= -9e-66:
		tmp = a * (y5 * t_2)
	elif b <= -5.2e-108:
		tmp = y * (x * ((a * b) - (c * i)))
	elif b <= -2.6e-131:
		tmp = z * (y3 * ((a * y1) - (c * y0)))
	elif b <= -2.2e-240:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif b <= 2.4e-259:
		tmp = y5 * (a * t_2)
	elif b <= 4.3e-82:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 3.05e-40:
		tmp = y5 * (k * ((y * i) - (y0 * y2)))
	elif b <= 6.4e+93:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	else:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	t_2 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (b <= -8.4e+214)
		tmp = t_1;
	elseif (b <= -1.25e+88)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -6e+74)
		tmp = t_1;
	elseif (b <= -3e-58)
		tmp = Float64(Float64(i * k) * Float64(Float64(y * y5) - Float64(z * y1)));
	elseif (b <= -9e-66)
		tmp = Float64(a * Float64(y5 * t_2));
	elseif (b <= -5.2e-108)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (b <= -2.6e-131)
		tmp = Float64(z * Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (b <= -2.2e-240)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (b <= 2.4e-259)
		tmp = Float64(y5 * Float64(a * t_2));
	elseif (b <= 4.3e-82)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 3.05e-40)
		tmp = Float64(y5 * Float64(k * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (b <= 6.4e+93)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	t_2 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (b <= -8.4e+214)
		tmp = t_1;
	elseif (b <= -1.25e+88)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -6e+74)
		tmp = t_1;
	elseif (b <= -3e-58)
		tmp = (i * k) * ((y * y5) - (z * y1));
	elseif (b <= -9e-66)
		tmp = a * (y5 * t_2);
	elseif (b <= -5.2e-108)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (b <= -2.6e-131)
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	elseif (b <= -2.2e-240)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (b <= 2.4e-259)
		tmp = y5 * (a * t_2);
	elseif (b <= 4.3e-82)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 3.05e-40)
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	elseif (b <= 6.4e+93)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	else
		tmp = z * (a * ((y1 * y3) - (t * b)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -8.4e+214], t$95$1, If[LessEqual[b, -1.25e+88], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6e+74], t$95$1, If[LessEqual[b, -3e-58], N[(N[(i * k), $MachinePrecision] * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -9e-66], N[(a * N[(y5 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -5.2e-108], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.6e-131], N[(z * N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.2e-240], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.4e-259], N[(y5 * N[(a * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.3e-82], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.05e-40], N[(y5 * N[(k * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.4e+93], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if b < -8.4000000000000003e214 or -1.24999999999999999e88 < b < -6e74

   1. Initial program 17.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 55.6%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in y0 around inf 72.6%

      \[\leadsto \color{blue}{\left(k \cdot z - j \cdot x\right) \cdot \left(y0 \cdot b\right)} \]

   if -8.4000000000000003e214 < b < -1.24999999999999999e88

   1. Initial program 8.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 8.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 56.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 68.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -6e74 < b < -3.00000000000000008e-58

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

         \[\leadsto \color{blue}{\left(k \cdot i\right) \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 43.9%

         \[\leadsto \color{blue}{\left(i \cdot k\right)} \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right) \]

      3. mul-1-neg 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right) \]

      4. unsub-neg 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)} \]

      5. *-commutative 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \left(\color{blue}{y5 \cdot y} - y1 \cdot z\right) \]

   7. Simplified 43.9%

      \[\leadsto \color{blue}{\left(i \cdot k\right) \cdot \left(y5 \cdot y - y1 \cdot z\right)} \]

   if -3.00000000000000008e-58 < b < -8.9999999999999995e-66

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 50.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 50.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if -8.9999999999999995e-66 < b < -5.19999999999999968e-108

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 40.2%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 60.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. *-commutative 60.3%

         \[\leadsto \color{blue}{\left(\left(a \cdot b - c \cdot i\right) \cdot x\right) \cdot y} \]

   9. Simplified 60.3%

      \[\leadsto \color{blue}{\left(\left(a \cdot b - c \cdot i\right) \cdot x\right) \cdot y} \]

   if -5.19999999999999968e-108 < b < -2.59999999999999996e-131

   1. Initial program 66.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 66.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 83.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 83.3%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 83.3%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 83.3%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in y3 around inf 83.5%

      \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - y1 \cdot a\right) \cdot y3\right)} \cdot z \]

   if -2.59999999999999996e-131 < b < -2.1999999999999999e-240

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 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 y around inf 56.4%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 56.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 56.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in y3 around inf 56.5%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -2.1999999999999999e-240 < b < 2.4000000000000001e-259

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 44.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.1%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 44.1%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around 0 42.1%

      \[\leadsto \color{blue}{\left(k \cdot y2 - y3 \cdot j\right) \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)} \]

   8. Taylor expanded in a around inf 35.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 38.7%

         \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5} \]

      2. *-commutative 38.7%

         \[\leadsto \left(a \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \cdot y5 \]

   10. Simplified 38.7%

       \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y2 - y3 \cdot y\right)\right) \cdot y5} \]

   if 2.4000000000000001e-259 < b < 4.30000000000000019e-82

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 47.1%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 47.3%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 47.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 47.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 4.30000000000000019e-82 < b < 3.0500000000000002e-40

   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 56.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 31.6%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y5 around inf 44.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right) \cdot y5\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto \color{blue}{\left(k \cdot \left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right)\right) \cdot y5} \]

      2. mul-1-neg 50.4%

         \[\leadsto \left(k \cdot \left(y \cdot i + \color{blue}{\left(-y0 \cdot y2\right)}\right)\right) \cdot y5 \]

      3. unsub-neg 50.4%

         \[\leadsto \left(k \cdot \color{blue}{\left(y \cdot i - y0 \cdot y2\right)}\right) \cdot y5 \]

      4. *-commutative 50.4%

         \[\leadsto \left(k \cdot \left(\color{blue}{i \cdot y} - y0 \cdot y2\right)\right) \cdot y5 \]

      5. *-commutative 50.4%

         \[\leadsto \left(k \cdot \left(i \cdot y - \color{blue}{y2 \cdot y0}\right)\right) \cdot y5 \]

   7. Simplified 50.4%

      \[\leadsto \color{blue}{\left(k \cdot \left(i \cdot y - y2 \cdot y0\right)\right) \cdot y5} \]

   if 3.0500000000000002e-40 < b < 6.4000000000000003e93

   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 33.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 49.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in j around inf 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \]

      2. unsub-neg 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \]

      3. *-commutative 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \]

      4. *-commutative 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \]

   7. Simplified 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]

   if 6.4000000000000003e93 < b

   1. Initial program 20.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 31.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.0%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 31.0%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 31.0%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in a around inf 49.4%

      \[\leadsto -\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z \]
   8. Step-by-step derivation

      1. mul-1-neg 49.4%

         \[\leadsto -\left(a \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \cdot z \]

      2. unsub-neg 49.4%

         \[\leadsto -\left(a \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \cdot z \]

      3. *-commutative 49.4%

         \[\leadsto -\left(a \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \cdot z \]

      4. *-commutative 49.4%

         \[\leadsto -\left(a \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \cdot z \]

   9. Simplified 49.4%

      \[\leadsto -\color{blue}{\left(a \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \cdot z \]
3. Recombined 12 regimes into one program.

4. Final simplification 53.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -8.4 \cdot 10^{+214}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -1.25 \cdot 10^{+88}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -6 \cdot 10^{+74}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-58}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -9 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -5.2 \cdot 10^{-108}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{-131}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-240}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{-259}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 4.3 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 3.05 \cdot 10^{-40}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+93}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \end{array} \]

Alternative 18: 31.5% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ t_2 := b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ t_3 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;b \leq -9 \cdot 10^{+216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{+89}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{-56}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-64}:\\ \;\;\;\;a \cdot \left(y5 \cdot t_3\right)\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-108}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -8.8 \cdot 10^{-130}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-240}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-243}:\\ \;\;\;\;y5 \cdot \left(a \cdot t_3\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{-40}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.6 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j))))
        (t_2 (* b (* t (- (* j y4) (* z a)))))
        (t_3 (- (* t y2) (* y y3))))
   (if (<= b -9e+216)
     t_1
     (if (<= b -1.55e+89)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -2.3e+75)
         t_1
         (if (<= b -1.7e-56)
           (* (* i k) (- (* y y5) (* z y1)))
           (if (<= b -1.6e-64)
             (* a (* y5 t_3))
             (if (<= b -2.2e-108)
               t_2
               (if (<= b -8.8e-130)
                 (* z (* y3 (- (* a y1) (* c y0))))
                 (if (<= b -1.75e-240)
                   (* y (* y3 (- (* c y4) (* a y5))))
                   (if (<= b 2.8e-243)
                     (* y5 (* a t_3))
                     (if (<= b 1.6e-82)
                       (* k (* y1 (- (* y2 y4) (* z i))))
                       (if (<= b 4.6e-40)
                         (* y5 (* k (- (* y i) (* y0 y2))))
                         (if (<= b 2.6e+94)
                           (* y4 (* j (- (* t b) (* y1 y3))))
                           t_2))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double t_2 = b * (t * ((j * y4) - (z * a)));
	double t_3 = (t * y2) - (y * y3);
	double tmp;
	if (b <= -9e+216) {
		tmp = t_1;
	} else if (b <= -1.55e+89) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -2.3e+75) {
		tmp = t_1;
	} else if (b <= -1.7e-56) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -1.6e-64) {
		tmp = a * (y5 * t_3);
	} else if (b <= -2.2e-108) {
		tmp = t_2;
	} else if (b <= -8.8e-130) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (b <= -1.75e-240) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 2.8e-243) {
		tmp = y5 * (a * t_3);
	} else if (b <= 1.6e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 4.6e-40) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 2.6e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    t_2 = b * (t * ((j * y4) - (z * a)))
    t_3 = (t * y2) - (y * y3)
    if (b <= (-9d+216)) then
        tmp = t_1
    else if (b <= (-1.55d+89)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-2.3d+75)) then
        tmp = t_1
    else if (b <= (-1.7d-56)) then
        tmp = (i * k) * ((y * y5) - (z * y1))
    else if (b <= (-1.6d-64)) then
        tmp = a * (y5 * t_3)
    else if (b <= (-2.2d-108)) then
        tmp = t_2
    else if (b <= (-8.8d-130)) then
        tmp = z * (y3 * ((a * y1) - (c * y0)))
    else if (b <= (-1.75d-240)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (b <= 2.8d-243) then
        tmp = y5 * (a * t_3)
    else if (b <= 1.6d-82) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 4.6d-40) then
        tmp = y5 * (k * ((y * i) - (y0 * y2)))
    else if (b <= 2.6d+94) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double t_2 = b * (t * ((j * y4) - (z * a)));
	double t_3 = (t * y2) - (y * y3);
	double tmp;
	if (b <= -9e+216) {
		tmp = t_1;
	} else if (b <= -1.55e+89) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -2.3e+75) {
		tmp = t_1;
	} else if (b <= -1.7e-56) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -1.6e-64) {
		tmp = a * (y5 * t_3);
	} else if (b <= -2.2e-108) {
		tmp = t_2;
	} else if (b <= -8.8e-130) {
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	} else if (b <= -1.75e-240) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 2.8e-243) {
		tmp = y5 * (a * t_3);
	} else if (b <= 1.6e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 4.6e-40) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 2.6e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	t_2 = b * (t * ((j * y4) - (z * a)))
	t_3 = (t * y2) - (y * y3)
	tmp = 0
	if b <= -9e+216:
		tmp = t_1
	elif b <= -1.55e+89:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -2.3e+75:
		tmp = t_1
	elif b <= -1.7e-56:
		tmp = (i * k) * ((y * y5) - (z * y1))
	elif b <= -1.6e-64:
		tmp = a * (y5 * t_3)
	elif b <= -2.2e-108:
		tmp = t_2
	elif b <= -8.8e-130:
		tmp = z * (y3 * ((a * y1) - (c * y0)))
	elif b <= -1.75e-240:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif b <= 2.8e-243:
		tmp = y5 * (a * t_3)
	elif b <= 1.6e-82:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 4.6e-40:
		tmp = y5 * (k * ((y * i) - (y0 * y2)))
	elif b <= 2.6e+94:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	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(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	t_2 = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))))
	t_3 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (b <= -9e+216)
		tmp = t_1;
	elseif (b <= -1.55e+89)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -2.3e+75)
		tmp = t_1;
	elseif (b <= -1.7e-56)
		tmp = Float64(Float64(i * k) * Float64(Float64(y * y5) - Float64(z * y1)));
	elseif (b <= -1.6e-64)
		tmp = Float64(a * Float64(y5 * t_3));
	elseif (b <= -2.2e-108)
		tmp = t_2;
	elseif (b <= -8.8e-130)
		tmp = Float64(z * Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))));
	elseif (b <= -1.75e-240)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (b <= 2.8e-243)
		tmp = Float64(y5 * Float64(a * t_3));
	elseif (b <= 1.6e-82)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 4.6e-40)
		tmp = Float64(y5 * Float64(k * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (b <= 2.6e+94)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	t_2 = b * (t * ((j * y4) - (z * a)));
	t_3 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (b <= -9e+216)
		tmp = t_1;
	elseif (b <= -1.55e+89)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -2.3e+75)
		tmp = t_1;
	elseif (b <= -1.7e-56)
		tmp = (i * k) * ((y * y5) - (z * y1));
	elseif (b <= -1.6e-64)
		tmp = a * (y5 * t_3);
	elseif (b <= -2.2e-108)
		tmp = t_2;
	elseif (b <= -8.8e-130)
		tmp = z * (y3 * ((a * y1) - (c * y0)));
	elseif (b <= -1.75e-240)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (b <= 2.8e-243)
		tmp = y5 * (a * t_3);
	elseif (b <= 1.6e-82)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 4.6e-40)
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	elseif (b <= 2.6e+94)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	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[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -9e+216], t$95$1, If[LessEqual[b, -1.55e+89], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.3e+75], t$95$1, If[LessEqual[b, -1.7e-56], N[(N[(i * k), $MachinePrecision] * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.6e-64], N[(a * N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.2e-108], t$95$2, If[LessEqual[b, -8.8e-130], N[(z * N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.75e-240], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.8e-243], N[(y5 * N[(a * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.6e-82], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.6e-40], N[(y5 * N[(k * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.6e+94], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if b < -9.0000000000000005e216 or -1.55e89 < b < -2.2999999999999999e75

   1. Initial program 17.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 55.6%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in y0 around inf 72.6%

      \[\leadsto \color{blue}{\left(k \cdot z - j \cdot x\right) \cdot \left(y0 \cdot b\right)} \]

   if -9.0000000000000005e216 < b < -1.55e89

   1. Initial program 8.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 8.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 56.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 68.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -2.2999999999999999e75 < b < -1.69999999999999991e-56

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

         \[\leadsto \color{blue}{\left(k \cdot i\right) \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 43.9%

         \[\leadsto \color{blue}{\left(i \cdot k\right)} \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right) \]

      3. mul-1-neg 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right) \]

      4. unsub-neg 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)} \]

      5. *-commutative 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \left(\color{blue}{y5 \cdot y} - y1 \cdot z\right) \]

   7. Simplified 43.9%

      \[\leadsto \color{blue}{\left(i \cdot k\right) \cdot \left(y5 \cdot y - y1 \cdot z\right)} \]

   if -1.69999999999999991e-56 < b < -1.59999999999999988e-64

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 50.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 50.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if -1.59999999999999988e-64 < b < -2.2000000000000001e-108 or 2.5999999999999999e94 < b

   1. Initial program 22.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 54.8%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in t around -inf 45.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot \left(t \cdot b\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 45.0%

         \[\leadsto \color{blue}{-\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot \left(t \cdot b\right)} \]

      2. associate-*r* 51.6%

         \[\leadsto -\color{blue}{\left(\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot t\right) \cdot b} \]

      3. distribute-lft-neg-in 51.6%

         \[\leadsto \color{blue}{\left(-\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot t\right) \cdot b} \]

      4. *-commutative 51.6%

         \[\leadsto \left(-\color{blue}{t \cdot \left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right)}\right) \cdot b \]

      5. distribute-rgt-neg-in 51.6%

         \[\leadsto \color{blue}{\left(t \cdot \left(-\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right)\right)\right)} \cdot b \]

      6. +-commutative 51.6%

         \[\leadsto \left(t \cdot \left(-\color{blue}{\left(a \cdot z + -1 \cdot \left(y4 \cdot j\right)\right)}\right)\right) \cdot b \]

      7. mul-1-neg 51.6%

         \[\leadsto \left(t \cdot \left(-\left(a \cdot z + \color{blue}{\left(-y4 \cdot j\right)}\right)\right)\right) \cdot b \]

      8. unsub-neg 51.6%

         \[\leadsto \left(t \cdot \left(-\color{blue}{\left(a \cdot z - y4 \cdot j\right)}\right)\right) \cdot b \]

      9. *-commutative 51.6%

         \[\leadsto \left(t \cdot \left(-\left(\color{blue}{z \cdot a} - y4 \cdot j\right)\right)\right) \cdot b \]

   7. Simplified 51.6%

      \[\leadsto \color{blue}{\left(t \cdot \left(-\left(z \cdot a - y4 \cdot j\right)\right)\right) \cdot b} \]

   if -2.2000000000000001e-108 < b < -8.7999999999999995e-130

   1. Initial program 66.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 66.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 83.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 83.3%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 83.3%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 83.3%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in y3 around inf 83.5%

      \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - y1 \cdot a\right) \cdot y3\right)} \cdot z \]

   if -8.7999999999999995e-130 < b < -1.75000000000000008e-240

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 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 y around inf 56.4%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 56.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 56.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in y3 around inf 56.5%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -1.75000000000000008e-240 < b < 2.79999999999999994e-243

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 44.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.1%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 44.1%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around 0 42.1%

      \[\leadsto \color{blue}{\left(k \cdot y2 - y3 \cdot j\right) \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)} \]

   8. Taylor expanded in a around inf 35.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 38.7%

         \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5} \]

      2. *-commutative 38.7%

         \[\leadsto \left(a \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \cdot y5 \]

   10. Simplified 38.7%

       \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y2 - y3 \cdot y\right)\right) \cdot y5} \]

   if 2.79999999999999994e-243 < b < 1.6000000000000001e-82

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 47.1%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 47.3%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 47.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 47.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 1.6000000000000001e-82 < b < 4.6e-40

   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 56.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 31.6%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y5 around inf 44.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right) \cdot y5\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto \color{blue}{\left(k \cdot \left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right)\right) \cdot y5} \]

      2. mul-1-neg 50.4%

         \[\leadsto \left(k \cdot \left(y \cdot i + \color{blue}{\left(-y0 \cdot y2\right)}\right)\right) \cdot y5 \]

      3. unsub-neg 50.4%

         \[\leadsto \left(k \cdot \color{blue}{\left(y \cdot i - y0 \cdot y2\right)}\right) \cdot y5 \]

      4. *-commutative 50.4%

         \[\leadsto \left(k \cdot \left(\color{blue}{i \cdot y} - y0 \cdot y2\right)\right) \cdot y5 \]

      5. *-commutative 50.4%

         \[\leadsto \left(k \cdot \left(i \cdot y - \color{blue}{y2 \cdot y0}\right)\right) \cdot y5 \]

   7. Simplified 50.4%

      \[\leadsto \color{blue}{\left(k \cdot \left(i \cdot y - y2 \cdot y0\right)\right) \cdot y5} \]

   if 4.6e-40 < b < 2.5999999999999999e94

   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 33.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 49.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in j around inf 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \]

      2. unsub-neg 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \]

      3. *-commutative 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \]

      4. *-commutative 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \]

   7. Simplified 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 53.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -9 \cdot 10^{+216}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{+89}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{+75}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{-56}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-64}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-108}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;b \leq -8.8 \cdot 10^{-130}:\\ \;\;\;\;z \cdot \left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-240}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-243}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{-40}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 2.6 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 19: 31.3% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ t_2 := y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_3 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;a \leq -2.5 \cdot 10^{+143}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{+107}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -8.8 \cdot 10^{+43}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -4.4:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2.7 \cdot 10^{-73}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-184}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.45 \cdot 10^{-265}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-214}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 10^{-155}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-11}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{+175}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t)))))
        (t_2 (* y4 (* b (- (* t j) (* y k)))))
        (t_3 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= a -2.5e+143)
     (* y5 (* a (- (* t y2) (* y y3))))
     (if (<= a -2.55e+107)
       t_1
       (if (<= a -8.8e+43)
         (* y (* y3 (- (* c y4) (* a y5))))
         (if (<= a -4.4)
           t_2
           (if (<= a -2.7e-73)
             (* k (* y1 (- (* y2 y4) (* z i))))
             (if (<= a -5e-184)
               t_3
               (if (<= a -2.45e-265)
                 (* t (* y4 (- (* b j) (* c y2))))
                 (if (<= a 1.85e-214)
                   t_3
                   (if (<= a 1e-155)
                     t_2
                     (if (<= a 1.85e-11)
                       (* k (* y2 (- (* y1 y4) (* y0 y5))))
                       (if (<= a 2.2e+175)
                         (* k (* b (- (* z y0) (* y y4))))
                         t_1)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double t_2 = y4 * (b * ((t * j) - (y * k)));
	double t_3 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (a <= -2.5e+143) {
		tmp = y5 * (a * ((t * y2) - (y * y3)));
	} else if (a <= -2.55e+107) {
		tmp = t_1;
	} else if (a <= -8.8e+43) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (a <= -4.4) {
		tmp = t_2;
	} else if (a <= -2.7e-73) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= -5e-184) {
		tmp = t_3;
	} else if (a <= -2.45e-265) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (a <= 1.85e-214) {
		tmp = t_3;
	} else if (a <= 1e-155) {
		tmp = t_2;
	} else if (a <= 1.85e-11) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 2.2e+175) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = a * (b * ((x * y) - (z * t)))
    t_2 = y4 * (b * ((t * j) - (y * k)))
    t_3 = c * (y4 * ((y * y3) - (t * y2)))
    if (a <= (-2.5d+143)) then
        tmp = y5 * (a * ((t * y2) - (y * y3)))
    else if (a <= (-2.55d+107)) then
        tmp = t_1
    else if (a <= (-8.8d+43)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (a <= (-4.4d0)) then
        tmp = t_2
    else if (a <= (-2.7d-73)) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (a <= (-5d-184)) then
        tmp = t_3
    else if (a <= (-2.45d-265)) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (a <= 1.85d-214) then
        tmp = t_3
    else if (a <= 1d-155) then
        tmp = t_2
    else if (a <= 1.85d-11) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (a <= 2.2d+175) then
        tmp = k * (b * ((z * y0) - (y * y4)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double t_2 = y4 * (b * ((t * j) - (y * k)));
	double t_3 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (a <= -2.5e+143) {
		tmp = y5 * (a * ((t * y2) - (y * y3)));
	} else if (a <= -2.55e+107) {
		tmp = t_1;
	} else if (a <= -8.8e+43) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (a <= -4.4) {
		tmp = t_2;
	} else if (a <= -2.7e-73) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= -5e-184) {
		tmp = t_3;
	} else if (a <= -2.45e-265) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (a <= 1.85e-214) {
		tmp = t_3;
	} else if (a <= 1e-155) {
		tmp = t_2;
	} else if (a <= 1.85e-11) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 2.2e+175) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	t_2 = y4 * (b * ((t * j) - (y * k)))
	t_3 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if a <= -2.5e+143:
		tmp = y5 * (a * ((t * y2) - (y * y3)))
	elif a <= -2.55e+107:
		tmp = t_1
	elif a <= -8.8e+43:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif a <= -4.4:
		tmp = t_2
	elif a <= -2.7e-73:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif a <= -5e-184:
		tmp = t_3
	elif a <= -2.45e-265:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif a <= 1.85e-214:
		tmp = t_3
	elif a <= 1e-155:
		tmp = t_2
	elif a <= 1.85e-11:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif a <= 2.2e+175:
		tmp = k * (b * ((z * y0) - (y * y4)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	t_2 = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))))
	t_3 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (a <= -2.5e+143)
		tmp = Float64(y5 * Float64(a * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (a <= -2.55e+107)
		tmp = t_1;
	elseif (a <= -8.8e+43)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (a <= -4.4)
		tmp = t_2;
	elseif (a <= -2.7e-73)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (a <= -5e-184)
		tmp = t_3;
	elseif (a <= -2.45e-265)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (a <= 1.85e-214)
		tmp = t_3;
	elseif (a <= 1e-155)
		tmp = t_2;
	elseif (a <= 1.85e-11)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (a <= 2.2e+175)
		tmp = Float64(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * ((x * y) - (z * t)));
	t_2 = y4 * (b * ((t * j) - (y * k)));
	t_3 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (a <= -2.5e+143)
		tmp = y5 * (a * ((t * y2) - (y * y3)));
	elseif (a <= -2.55e+107)
		tmp = t_1;
	elseif (a <= -8.8e+43)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (a <= -4.4)
		tmp = t_2;
	elseif (a <= -2.7e-73)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (a <= -5e-184)
		tmp = t_3;
	elseif (a <= -2.45e-265)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (a <= 1.85e-214)
		tmp = t_3;
	elseif (a <= 1e-155)
		tmp = t_2;
	elseif (a <= 1.85e-11)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (a <= 2.2e+175)
		tmp = k * (b * ((z * y0) - (y * y4)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.5e+143], N[(y5 * N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.55e+107], t$95$1, If[LessEqual[a, -8.8e+43], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.4], t$95$2, If[LessEqual[a, -2.7e-73], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5e-184], t$95$3, If[LessEqual[a, -2.45e-265], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.85e-214], t$95$3, If[LessEqual[a, 1e-155], t$95$2, If[LessEqual[a, 1.85e-11], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.2e+175], N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -2.50000000000000006e143

   1. Initial program 21.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 33.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 33.1%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 33.1%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around 0 38.9%

      \[\leadsto \color{blue}{\left(k \cdot y2 - y3 \cdot j\right) \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)} \]

   8. Taylor expanded in a around inf 47.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 52.0%

         \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5} \]

      2. *-commutative 52.0%

         \[\leadsto \left(a \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \cdot y5 \]

   10. Simplified 52.0%

       \[\leadsto \color{blue}{\left(a \cdot \left(t \cdot y2 - y3 \cdot y\right)\right) \cdot y5} \]

   if -2.50000000000000006e143 < a < -2.5500000000000001e107 or 2.1999999999999999e175 < a

   1. Initial program 13.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 13.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 42.9%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 56.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if -2.5500000000000001e107 < a < -8.80000000000000002e43

   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 53.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 47.5%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 47.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 47.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in y3 around inf 54.8%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -8.80000000000000002e43 < a < -4.4000000000000004 or 1.8500000000000001e-214 < a < 1.00000000000000001e-155

   1. Initial program 12.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 12.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 48.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 56.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -4.4000000000000004 < a < -2.69999999999999994e-73

   1. Initial program 19.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 26.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 67.1%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 54.6%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 54.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 54.6%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 54.6%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if -2.69999999999999994e-73 < a < -5.00000000000000003e-184 or -2.45e-265 < a < 1.8500000000000001e-214

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 46.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 47.3%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -5.00000000000000003e-184 < a < -2.45e-265

   1. Initial program 39.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 40.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 56.0%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 56.0%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 56.0%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 56.0%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 62.4%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 62.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   if 1.00000000000000001e-155 < a < 1.8500000000000001e-11

   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 k around inf 48.9%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y2 around inf 49.7%

      \[\leadsto k \cdot \color{blue}{\left(\left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)} \]

   if 1.8500000000000001e-11 < a < 2.1999999999999999e175

   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 52.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 42.5%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 42.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.9%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 42.9%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 42.9%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 51.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.5 \cdot 10^{+143}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{+107}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;a \leq -8.8 \cdot 10^{+43}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -4.4:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq -2.7 \cdot 10^{-73}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-184}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2.45 \cdot 10^{-265}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-214}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 10^{-155}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-11}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{+175}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 20: 30.8% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ t_2 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;a \leq -3.1 \cdot 10^{+60}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-74}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-184}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-258}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.25 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-279}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-273}:\\ \;\;\;\;\left(y1 \cdot \left(j \cdot y3\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;a \leq 1.46 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 9.8 \cdot 10^{-158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-18}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{+172}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (* b (- (* t j) (* y k)))))
        (t_2 (* c (* y4 (- (* y y3) (* t y2))))))
   (if (<= a -3.1e+60)
     (* (* y a) (- (* x b) (* y3 y5)))
     (if (<= a -2.3e-74)
       (* (* y1 y4) (- (* k y2) (* j y3)))
       (if (<= a -3.8e-184)
         t_2
         (if (<= a -4.1e-258)
           (* t (* y4 (- (* b j) (* c y2))))
           (if (<= a -1.25e-306)
             t_1
             (if (<= a 2e-279)
               (* k (* y1 (- (* y2 y4) (* z i))))
               (if (<= a 3.3e-273)
                 (* (* y1 (* j y3)) (- y4))
                 (if (<= a 1.46e-227)
                   t_2
                   (if (<= a 9.8e-158)
                     t_1
                     (if (<= a 2.8e-18)
                       (* k (* y2 (- (* y1 y4) (* y0 y5))))
                       (if (<= a 6.2e+172)
                         (* k (* b (- (* z y0) (* y y4))))
                         (* a (* b (- (* x y) (* z t)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (b * ((t * j) - (y * k)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (a <= -3.1e+60) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (a <= -2.3e-74) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (a <= -3.8e-184) {
		tmp = t_2;
	} else if (a <= -4.1e-258) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (a <= -1.25e-306) {
		tmp = t_1;
	} else if (a <= 2e-279) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= 3.3e-273) {
		tmp = (y1 * (j * y3)) * -y4;
	} else if (a <= 1.46e-227) {
		tmp = t_2;
	} else if (a <= 9.8e-158) {
		tmp = t_1;
	} else if (a <= 2.8e-18) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 6.2e+172) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = a * (b * ((x * y) - (z * t)));
	}
	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 * (b * ((t * j) - (y * k)))
    t_2 = c * (y4 * ((y * y3) - (t * y2)))
    if (a <= (-3.1d+60)) then
        tmp = (y * a) * ((x * b) - (y3 * y5))
    else if (a <= (-2.3d-74)) then
        tmp = (y1 * y4) * ((k * y2) - (j * y3))
    else if (a <= (-3.8d-184)) then
        tmp = t_2
    else if (a <= (-4.1d-258)) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (a <= (-1.25d-306)) then
        tmp = t_1
    else if (a <= 2d-279) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (a <= 3.3d-273) then
        tmp = (y1 * (j * y3)) * -y4
    else if (a <= 1.46d-227) then
        tmp = t_2
    else if (a <= 9.8d-158) then
        tmp = t_1
    else if (a <= 2.8d-18) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (a <= 6.2d+172) then
        tmp = k * (b * ((z * y0) - (y * y4)))
    else
        tmp = a * (b * ((x * y) - (z * t)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (b * ((t * j) - (y * k)));
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double tmp;
	if (a <= -3.1e+60) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (a <= -2.3e-74) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (a <= -3.8e-184) {
		tmp = t_2;
	} else if (a <= -4.1e-258) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (a <= -1.25e-306) {
		tmp = t_1;
	} else if (a <= 2e-279) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= 3.3e-273) {
		tmp = (y1 * (j * y3)) * -y4;
	} else if (a <= 1.46e-227) {
		tmp = t_2;
	} else if (a <= 9.8e-158) {
		tmp = t_1;
	} else if (a <= 2.8e-18) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 6.2e+172) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = a * (b * ((x * y) - (z * t)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y4 * (b * ((t * j) - (y * k)))
	t_2 = c * (y4 * ((y * y3) - (t * y2)))
	tmp = 0
	if a <= -3.1e+60:
		tmp = (y * a) * ((x * b) - (y3 * y5))
	elif a <= -2.3e-74:
		tmp = (y1 * y4) * ((k * y2) - (j * y3))
	elif a <= -3.8e-184:
		tmp = t_2
	elif a <= -4.1e-258:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif a <= -1.25e-306:
		tmp = t_1
	elif a <= 2e-279:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif a <= 3.3e-273:
		tmp = (y1 * (j * y3)) * -y4
	elif a <= 1.46e-227:
		tmp = t_2
	elif a <= 9.8e-158:
		tmp = t_1
	elif a <= 2.8e-18:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif a <= 6.2e+172:
		tmp = k * (b * ((z * y0) - (y * y4)))
	else:
		tmp = a * (b * ((x * y) - (z * t)))
	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(b * Float64(Float64(t * j) - Float64(y * k))))
	t_2 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	tmp = 0.0
	if (a <= -3.1e+60)
		tmp = Float64(Float64(y * a) * Float64(Float64(x * b) - Float64(y3 * y5)));
	elseif (a <= -2.3e-74)
		tmp = Float64(Float64(y1 * y4) * Float64(Float64(k * y2) - Float64(j * y3)));
	elseif (a <= -3.8e-184)
		tmp = t_2;
	elseif (a <= -4.1e-258)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (a <= -1.25e-306)
		tmp = t_1;
	elseif (a <= 2e-279)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (a <= 3.3e-273)
		tmp = Float64(Float64(y1 * Float64(j * y3)) * Float64(-y4));
	elseif (a <= 1.46e-227)
		tmp = t_2;
	elseif (a <= 9.8e-158)
		tmp = t_1;
	elseif (a <= 2.8e-18)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (a <= 6.2e+172)
		tmp = Float64(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))));
	else
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y4 * (b * ((t * j) - (y * k)));
	t_2 = c * (y4 * ((y * y3) - (t * y2)));
	tmp = 0.0;
	if (a <= -3.1e+60)
		tmp = (y * a) * ((x * b) - (y3 * y5));
	elseif (a <= -2.3e-74)
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	elseif (a <= -3.8e-184)
		tmp = t_2;
	elseif (a <= -4.1e-258)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (a <= -1.25e-306)
		tmp = t_1;
	elseif (a <= 2e-279)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (a <= 3.3e-273)
		tmp = (y1 * (j * y3)) * -y4;
	elseif (a <= 1.46e-227)
		tmp = t_2;
	elseif (a <= 9.8e-158)
		tmp = t_1;
	elseif (a <= 2.8e-18)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (a <= 6.2e+172)
		tmp = k * (b * ((z * y0) - (y * y4)));
	else
		tmp = a * (b * ((x * y) - (z * t)));
	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[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -3.1e+60], N[(N[(y * a), $MachinePrecision] * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.3e-74], N[(N[(y1 * y4), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.8e-184], t$95$2, If[LessEqual[a, -4.1e-258], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.25e-306], t$95$1, If[LessEqual[a, 2e-279], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.3e-273], N[(N[(y1 * N[(j * y3), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision], If[LessEqual[a, 1.46e-227], t$95$2, If[LessEqual[a, 9.8e-158], t$95$1, If[LessEqual[a, 2.8e-18], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.2e+172], N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -3.1000000000000001e60

   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 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 y around inf 37.7%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 37.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in a around inf 55.1%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 53.4%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      2. +-commutative 53.4%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      3. mul-1-neg 53.4%

         \[\leadsto \left(y \cdot a\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      4. unsub-neg 53.4%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

   9. Simplified 53.4%

      \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(b \cdot x - y3 \cdot y5\right)} \]

   if -3.1000000000000001e60 < a < -2.2999999999999998e-74

   1. Initial program 11.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 39.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 50.9%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 47.3%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 47.3%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   if -2.2999999999999998e-74 < a < -3.80000000000000017e-184 or 3.2999999999999999e-273 < a < 1.46e-227

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 56.3%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -3.80000000000000017e-184 < a < -4.1000000000000001e-258

   1. Initial program 42.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 42.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 43.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 52.3%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 52.3%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 52.3%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 52.3%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 52.3%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 59.2%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 59.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   if -4.1000000000000001e-258 < a < -1.25e-306 or 1.46e-227 < a < 9.79999999999999986e-158

   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 46.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 54.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -1.25e-306 < a < 2.00000000000000011e-279

   1. Initial program 75.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 75.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 50.2%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 75.2%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 75.2%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 75.2%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 75.2%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 2.00000000000000011e-279 < a < 3.2999999999999999e-273

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 100.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 100.0%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around 0 100.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 100.0%

         \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]

   10. Simplified 100.0%

       \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]

   if 9.79999999999999986e-158 < a < 2.80000000000000012e-18

   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 k around inf 48.9%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y2 around inf 49.7%

      \[\leadsto k \cdot \color{blue}{\left(\left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)} \]

   if 2.80000000000000012e-18 < a < 6.19999999999999976e172

   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 52.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 42.5%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 42.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.9%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 42.9%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 42.9%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]

   if 6.19999999999999976e172 < a

   1. Initial program 11.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 40.7%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 55.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 52.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -3.1 \cdot 10^{+60}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-74}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-184}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-258}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.25 \cdot 10^{-306}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-279}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-273}:\\ \;\;\;\;\left(y1 \cdot \left(j \cdot y3\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;a \leq 1.46 \cdot 10^{-227}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 9.8 \cdot 10^{-158}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-18}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{+172}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 21: 30.9% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{if}\;b \leq -6.4 \cdot 10^{+217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{+76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -8.6 \cdot 10^{-57}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -7.8 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{-108}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{-256}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-41}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.2 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j)))))
   (if (<= b -6.4e+217)
     t_1
     (if (<= b -7.5e+87)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -1.4e+76)
         t_1
         (if (<= b -8.6e-57)
           (* (* i k) (- (* y y5) (* z y1)))
           (if (<= b -7.8e-66)
             (* a (* y5 (- (* t y2) (* y y3))))
             (if (<= b -4.3e-108)
               (* y (* x (- (* a b) (* c i))))
               (if (<= b 3.4e-256)
                 (* y (* y3 (- (* c y4) (* a y5))))
                 (if (<= b 3e-82)
                   (* k (* y1 (- (* y2 y4) (* z i))))
                   (if (<= b 2.8e-41)
                     (* y5 (* k (- (* y i) (* y0 y2))))
                     (if (<= b 6.2e+94)
                       (* y4 (* j (- (* t b) (* y1 y3))))
                       (* z (* a (- (* y1 y3) (* t b))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -6.4e+217) {
		tmp = t_1;
	} else if (b <= -7.5e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.4e+76) {
		tmp = t_1;
	} else if (b <= -8.6e-57) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -7.8e-66) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= -4.3e-108) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (b <= 3.4e-256) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 3e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 2.8e-41) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 6.2e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    if (b <= (-6.4d+217)) then
        tmp = t_1
    else if (b <= (-7.5d+87)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-1.4d+76)) then
        tmp = t_1
    else if (b <= (-8.6d-57)) then
        tmp = (i * k) * ((y * y5) - (z * y1))
    else if (b <= (-7.8d-66)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (b <= (-4.3d-108)) then
        tmp = y * (x * ((a * b) - (c * i)))
    else if (b <= 3.4d-256) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (b <= 3d-82) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 2.8d-41) then
        tmp = y5 * (k * ((y * i) - (y0 * y2)))
    else if (b <= 6.2d+94) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = z * (a * ((y1 * y3) - (t * b)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -6.4e+217) {
		tmp = t_1;
	} else if (b <= -7.5e+87) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -1.4e+76) {
		tmp = t_1;
	} else if (b <= -8.6e-57) {
		tmp = (i * k) * ((y * y5) - (z * y1));
	} else if (b <= -7.8e-66) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= -4.3e-108) {
		tmp = y * (x * ((a * b) - (c * i)));
	} else if (b <= 3.4e-256) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (b <= 3e-82) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 2.8e-41) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (b <= 6.2e+94) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	tmp = 0
	if b <= -6.4e+217:
		tmp = t_1
	elif b <= -7.5e+87:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -1.4e+76:
		tmp = t_1
	elif b <= -8.6e-57:
		tmp = (i * k) * ((y * y5) - (z * y1))
	elif b <= -7.8e-66:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif b <= -4.3e-108:
		tmp = y * (x * ((a * b) - (c * i)))
	elif b <= 3.4e-256:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif b <= 3e-82:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 2.8e-41:
		tmp = y5 * (k * ((y * i) - (y0 * y2)))
	elif b <= 6.2e+94:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	else:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	tmp = 0.0
	if (b <= -6.4e+217)
		tmp = t_1;
	elseif (b <= -7.5e+87)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -1.4e+76)
		tmp = t_1;
	elseif (b <= -8.6e-57)
		tmp = Float64(Float64(i * k) * Float64(Float64(y * y5) - Float64(z * y1)));
	elseif (b <= -7.8e-66)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (b <= -4.3e-108)
		tmp = Float64(y * Float64(x * Float64(Float64(a * b) - Float64(c * i))));
	elseif (b <= 3.4e-256)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (b <= 3e-82)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 2.8e-41)
		tmp = Float64(y5 * Float64(k * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (b <= 6.2e+94)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	tmp = 0.0;
	if (b <= -6.4e+217)
		tmp = t_1;
	elseif (b <= -7.5e+87)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -1.4e+76)
		tmp = t_1;
	elseif (b <= -8.6e-57)
		tmp = (i * k) * ((y * y5) - (z * y1));
	elseif (b <= -7.8e-66)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (b <= -4.3e-108)
		tmp = y * (x * ((a * b) - (c * i)));
	elseif (b <= 3.4e-256)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (b <= 3e-82)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 2.8e-41)
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	elseif (b <= 6.2e+94)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	else
		tmp = z * (a * ((y1 * y3) - (t * b)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -6.4e+217], t$95$1, If[LessEqual[b, -7.5e+87], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.4e+76], t$95$1, If[LessEqual[b, -8.6e-57], N[(N[(i * k), $MachinePrecision] * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.8e-66], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.3e-108], N[(y * N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.4e-256], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3e-82], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.8e-41], N[(y5 * N[(k * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.2e+94], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if b < -6.4000000000000001e217 or -7.50000000000000014e87 < b < -1.3999999999999999e76

   1. Initial program 17.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 55.6%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in y0 around inf 72.6%

      \[\leadsto \color{blue}{\left(k \cdot z - j \cdot x\right) \cdot \left(y0 \cdot b\right)} \]

   if -6.4000000000000001e217 < b < -7.50000000000000014e87

   1. Initial program 8.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 8.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 56.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 68.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -1.3999999999999999e76 < b < -8.60000000000000043e-57

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{k \cdot \left(i \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.9%

         \[\leadsto \color{blue}{\left(k \cdot i\right) \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 43.9%

         \[\leadsto \color{blue}{\left(i \cdot k\right)} \cdot \left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right) \]

      3. mul-1-neg 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right) \]

      4. unsub-neg 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)} \]

      5. *-commutative 43.9%

         \[\leadsto \left(i \cdot k\right) \cdot \left(\color{blue}{y5 \cdot y} - y1 \cdot z\right) \]

   7. Simplified 43.9%

      \[\leadsto \color{blue}{\left(i \cdot k\right) \cdot \left(y5 \cdot y - y1 \cdot z\right)} \]

   if -8.60000000000000043e-57 < b < -7.79999999999999965e-66

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 50.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 50.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if -7.79999999999999965e-66 < b < -4.3e-108

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 40.2%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 40.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in x around inf 60.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(a \cdot b - c \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. *-commutative 60.3%

         \[\leadsto \color{blue}{\left(\left(a \cdot b - c \cdot i\right) \cdot x\right) \cdot y} \]

   9. Simplified 60.3%

      \[\leadsto \color{blue}{\left(\left(a \cdot b - c \cdot i\right) \cdot x\right) \cdot y} \]

   if -4.3e-108 < b < 3.4000000000000001e-256

   1. Initial program 37.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 50.5%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 50.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 50.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in y3 around inf 39.6%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 3.4000000000000001e-256 < b < 2.9999999999999999e-82

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.1%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 47.1%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 47.3%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 47.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 47.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 2.9999999999999999e-82 < b < 2.8000000000000002e-41

   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 56.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 31.6%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y5 around inf 44.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right) \cdot y5\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto \color{blue}{\left(k \cdot \left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right)\right) \cdot y5} \]

      2. mul-1-neg 50.4%

         \[\leadsto \left(k \cdot \left(y \cdot i + \color{blue}{\left(-y0 \cdot y2\right)}\right)\right) \cdot y5 \]

      3. unsub-neg 50.4%

         \[\leadsto \left(k \cdot \color{blue}{\left(y \cdot i - y0 \cdot y2\right)}\right) \cdot y5 \]

      4. *-commutative 50.4%

         \[\leadsto \left(k \cdot \left(\color{blue}{i \cdot y} - y0 \cdot y2\right)\right) \cdot y5 \]

      5. *-commutative 50.4%

         \[\leadsto \left(k \cdot \left(i \cdot y - \color{blue}{y2 \cdot y0}\right)\right) \cdot y5 \]

   7. Simplified 50.4%

      \[\leadsto \color{blue}{\left(k \cdot \left(i \cdot y - y2 \cdot y0\right)\right) \cdot y5} \]

   if 2.8000000000000002e-41 < b < 6.19999999999999983e94

   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 33.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 49.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in j around inf 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \]

      2. unsub-neg 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \]

      3. *-commutative 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \]

      4. *-commutative 51.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \]

   7. Simplified 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]

   if 6.19999999999999983e94 < b

   1. Initial program 20.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 31.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 31.0%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 31.0%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 31.0%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in a around inf 49.4%

      \[\leadsto -\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z \]
   8. Step-by-step derivation

      1. mul-1-neg 49.4%

         \[\leadsto -\left(a \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \cdot z \]

      2. unsub-neg 49.4%

         \[\leadsto -\left(a \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \cdot z \]

      3. *-commutative 49.4%

         \[\leadsto -\left(a \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \cdot z \]

      4. *-commutative 49.4%

         \[\leadsto -\left(a \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \cdot z \]

   9. Simplified 49.4%

      \[\leadsto -\color{blue}{\left(a \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \cdot z \]
3. Recombined 10 regimes into one program.

4. Final simplification 51.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -6.4 \cdot 10^{+217}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{+87}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{+76}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -8.6 \cdot 10^{-57}:\\ \;\;\;\;\left(i \cdot k\right) \cdot \left(y \cdot y5 - z \cdot y1\right)\\ \mathbf{elif}\;b \leq -7.8 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{-108}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{-256}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3 \cdot 10^{-82}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-41}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 6.2 \cdot 10^{+94}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \end{array} \]

Alternative 22: 35.3% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{if}\;b \leq -1.9 \cdot 10^{+218}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.9 \cdot 10^{+89}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{+21}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{-103}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-34}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.56 \cdot 10^{-9}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{+95}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y0) (- (* z k) (* x j)))))
   (if (<= b -1.9e+218)
     t_1
     (if (<= b -2.9e+89)
       (* y4 (* b (- (* t j) (* y k))))
       (if (<= b -3e+63)
         t_1
         (if (<= b -1.75e+21)
           (* (* y b) (- (* x a) (* k y4)))
           (if (<= b 1.55e-103)
             (*
              y5
              (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))
             (if (<= b 4.4e-64)
               (* (* i y5) (- (* y k) (* t j)))
               (if (<= b 1.35e-34)
                 (* z (* a (- (* y1 y3) (* t b))))
                 (if (<= b 1.56e-9)
                   (* (* y1 y4) (- (* k y2) (* j y3)))
                   (if (<= b 5.2e+95)
                     (* y4 (* j (- (* t b) (* y1 y3))))
                     (* b (* t (- (* j y4) (* z a)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -1.9e+218) {
		tmp = t_1;
	} else if (b <= -2.9e+89) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -3e+63) {
		tmp = t_1;
	} else if (b <= -1.75e+21) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (b <= 1.55e-103) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 4.4e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 1.35e-34) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.56e-9) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 5.2e+95) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (b * y0) * ((z * k) - (x * j))
    if (b <= (-1.9d+218)) then
        tmp = t_1
    else if (b <= (-2.9d+89)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (b <= (-3d+63)) then
        tmp = t_1
    else if (b <= (-1.75d+21)) then
        tmp = (y * b) * ((x * a) - (k * y4))
    else if (b <= 1.55d-103) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
    else if (b <= 4.4d-64) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (b <= 1.35d-34) then
        tmp = z * (a * ((y1 * y3) - (t * b)))
    else if (b <= 1.56d-9) then
        tmp = (y1 * y4) * ((k * y2) - (j * y3))
    else if (b <= 5.2d+95) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else
        tmp = b * (t * ((j * y4) - (z * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y0) * ((z * k) - (x * j));
	double tmp;
	if (b <= -1.9e+218) {
		tmp = t_1;
	} else if (b <= -2.9e+89) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (b <= -3e+63) {
		tmp = t_1;
	} else if (b <= -1.75e+21) {
		tmp = (y * b) * ((x * a) - (k * y4));
	} else if (b <= 1.55e-103) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	} else if (b <= 4.4e-64) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= 1.35e-34) {
		tmp = z * (a * ((y1 * y3) - (t * b)));
	} else if (b <= 1.56e-9) {
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	} else if (b <= 5.2e+95) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y0) * ((z * k) - (x * j))
	tmp = 0
	if b <= -1.9e+218:
		tmp = t_1
	elif b <= -2.9e+89:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif b <= -3e+63:
		tmp = t_1
	elif b <= -1.75e+21:
		tmp = (y * b) * ((x * a) - (k * y4))
	elif b <= 1.55e-103:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))))
	elif b <= 4.4e-64:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif b <= 1.35e-34:
		tmp = z * (a * ((y1 * y3) - (t * b)))
	elif b <= 1.56e-9:
		tmp = (y1 * y4) * ((k * y2) - (j * y3))
	elif b <= 5.2e+95:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	else:
		tmp = b * (t * ((j * y4) - (z * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y0) * Float64(Float64(z * k) - Float64(x * j)))
	tmp = 0.0
	if (b <= -1.9e+218)
		tmp = t_1;
	elseif (b <= -2.9e+89)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -3e+63)
		tmp = t_1;
	elseif (b <= -1.75e+21)
		tmp = Float64(Float64(y * b) * Float64(Float64(x * a) - Float64(k * y4)));
	elseif (b <= 1.55e-103)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2)))));
	elseif (b <= 4.4e-64)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (b <= 1.35e-34)
		tmp = Float64(z * Float64(a * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (b <= 1.56e-9)
		tmp = Float64(Float64(y1 * y4) * Float64(Float64(k * y2) - Float64(j * y3)));
	elseif (b <= 5.2e+95)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	else
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y0) * ((z * k) - (x * j));
	tmp = 0.0;
	if (b <= -1.9e+218)
		tmp = t_1;
	elseif (b <= -2.9e+89)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (b <= -3e+63)
		tmp = t_1;
	elseif (b <= -1.75e+21)
		tmp = (y * b) * ((x * a) - (k * y4));
	elseif (b <= 1.55e-103)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2))));
	elseif (b <= 4.4e-64)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (b <= 1.35e-34)
		tmp = z * (a * ((y1 * y3) - (t * b)));
	elseif (b <= 1.56e-9)
		tmp = (y1 * y4) * ((k * y2) - (j * y3));
	elseif (b <= 5.2e+95)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	else
		tmp = b * (t * ((j * y4) - (z * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y0), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.9e+218], t$95$1, If[LessEqual[b, -2.9e+89], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3e+63], t$95$1, If[LessEqual[b, -1.75e+21], N[(N[(y * b), $MachinePrecision] * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.55e-103], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.4e-64], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.35e-34], N[(z * N[(a * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.56e-9], N[(N[(y1 * y4), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.2e+95], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if b < -1.90000000000000006e218 or -2.90000000000000025e89 < b < -2.99999999999999999e63

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 15.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in y0 around inf 70.5%

      \[\leadsto \color{blue}{\left(k \cdot z - j \cdot x\right) \cdot \left(y0 \cdot b\right)} \]

   if -1.90000000000000006e218 < b < -2.90000000000000025e89

   1. Initial program 8.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 8.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 56.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 68.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -2.99999999999999999e63 < b < -1.75e21

   1. Initial program 12.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in y around inf 75.1%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 75.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 75.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in b around inf 62.8%

      \[\leadsto \color{blue}{y \cdot \left(b \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 62.8%

         \[\leadsto \color{blue}{\left(y \cdot b\right) \cdot \left(a \cdot x - k \cdot y4\right)} \]

      2. *-commutative 62.8%

         \[\leadsto \color{blue}{\left(b \cdot y\right)} \cdot \left(a \cdot x - k \cdot y4\right) \]

      3. *-commutative 62.8%

         \[\leadsto \left(b \cdot y\right) \cdot \left(a \cdot x - \color{blue}{y4 \cdot k}\right) \]

   9. Simplified 62.8%

      \[\leadsto \color{blue}{\left(b \cdot y\right) \cdot \left(a \cdot x - y4 \cdot k\right)} \]

   if -1.75e21 < b < 1.5500000000000001e-103

   1. Initial program 36.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 44.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 44.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around 0 47.7%

      \[\leadsto \color{blue}{\left(k \cdot y2 - y3 \cdot j\right) \cdot \left(y4 \cdot y1 - y0 \cdot y5\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)} \]

   8. Taylor expanded in y5 around -inf 45.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(y0 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5\right)} \]

   if 1.5500000000000001e-103 < b < 4.3999999999999999e-64

   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%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 24.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 24.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 24.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around inf 42.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 42.2%

         \[\leadsto \color{blue}{-i \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 42.2%

         \[\leadsto -i \cdot \color{blue}{\left(y5 \cdot \left(t \cdot j - k \cdot y\right)\right)} \]

      3. *-commutative 42.2%

         \[\leadsto -i \cdot \left(y5 \cdot \left(t \cdot j - \color{blue}{y \cdot k}\right)\right) \]

      4. associate-*l* 36.6%

         \[\leadsto -\color{blue}{\left(i \cdot y5\right) \cdot \left(t \cdot j - y \cdot k\right)} \]

      5. *-commutative 36.6%

         \[\leadsto -\color{blue}{\left(t \cdot j - y \cdot k\right) \cdot \left(i \cdot y5\right)} \]

      6. distribute-rgt-neg-out 36.6%

         \[\leadsto \color{blue}{\left(t \cdot j - y \cdot k\right) \cdot \left(-i \cdot y5\right)} \]

      7. *-commutative 36.6%

         \[\leadsto \left(\color{blue}{j \cdot t} - y \cdot k\right) \cdot \left(-i \cdot y5\right) \]

      8. *-commutative 36.6%

         \[\leadsto \left(j \cdot t - \color{blue}{k \cdot y}\right) \cdot \left(-i \cdot y5\right) \]

      9. distribute-lft-neg-in 36.6%

         \[\leadsto \left(j \cdot t - k \cdot y\right) \cdot \color{blue}{\left(\left(-i\right) \cdot y5\right)} \]

   9. Simplified 36.6%

      \[\leadsto \color{blue}{\left(j \cdot t - k \cdot y\right) \cdot \left(\left(-i\right) \cdot y5\right)} \]

   if 4.3999999999999999e-64 < b < 1.35000000000000008e-34

   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 z around -inf 80.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 80.0%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 80.0%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 80.0%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in a around inf 80.4%

      \[\leadsto -\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z \]
   8. Step-by-step derivation

      1. mul-1-neg 80.4%

         \[\leadsto -\left(a \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \cdot z \]

      2. unsub-neg 80.4%

         \[\leadsto -\left(a \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \cdot z \]

      3. *-commutative 80.4%

         \[\leadsto -\left(a \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \cdot z \]

      4. *-commutative 80.4%

         \[\leadsto -\left(a \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \cdot z \]

   9. Simplified 80.4%

      \[\leadsto -\color{blue}{\left(a \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \cdot z \]

   if 1.35000000000000008e-34 < b < 1.56e-9

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 12.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 62.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 76.3%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 88.0%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 88.0%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   if 1.56e-9 < b < 5.19999999999999981e95

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 48.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in j around inf 52.6%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 52.6%

         \[\leadsto y4 \cdot \left(j \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \]

      2. unsub-neg 52.6%

         \[\leadsto y4 \cdot \left(j \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \]

      3. *-commutative 52.6%

         \[\leadsto y4 \cdot \left(j \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \]

      4. *-commutative 52.6%

         \[\leadsto y4 \cdot \left(j \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \]

   7. Simplified 52.6%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]

   if 5.19999999999999981e95 < b

   1. Initial program 20.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 56.2%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in t around -inf 49.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot \left(t \cdot b\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 49.0%

         \[\leadsto \color{blue}{-\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot \left(t \cdot b\right)} \]

      2. associate-*r* 50.7%

         \[\leadsto -\color{blue}{\left(\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot t\right) \cdot b} \]

      3. distribute-lft-neg-in 50.7%

         \[\leadsto \color{blue}{\left(-\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right) \cdot t\right) \cdot b} \]

      4. *-commutative 50.7%

         \[\leadsto \left(-\color{blue}{t \cdot \left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right)}\right) \cdot b \]

      5. distribute-rgt-neg-in 50.7%

         \[\leadsto \color{blue}{\left(t \cdot \left(-\left(-1 \cdot \left(y4 \cdot j\right) + a \cdot z\right)\right)\right)} \cdot b \]

      6. +-commutative 50.7%

         \[\leadsto \left(t \cdot \left(-\color{blue}{\left(a \cdot z + -1 \cdot \left(y4 \cdot j\right)\right)}\right)\right) \cdot b \]

      7. mul-1-neg 50.7%

         \[\leadsto \left(t \cdot \left(-\left(a \cdot z + \color{blue}{\left(-y4 \cdot j\right)}\right)\right)\right) \cdot b \]

      8. unsub-neg 50.7%

         \[\leadsto \left(t \cdot \left(-\color{blue}{\left(a \cdot z - y4 \cdot j\right)}\right)\right) \cdot b \]

      9. *-commutative 50.7%

         \[\leadsto \left(t \cdot \left(-\left(\color{blue}{z \cdot a} - y4 \cdot j\right)\right)\right) \cdot b \]

   7. Simplified 50.7%

      \[\leadsto \color{blue}{\left(t \cdot \left(-\left(z \cdot a - y4 \cdot j\right)\right)\right) \cdot b} \]
3. Recombined 9 regimes into one program.

4. Final simplification 54.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.9 \cdot 10^{+218}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -2.9 \cdot 10^{+89}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{+63}:\\ \;\;\;\;\left(b \cdot y0\right) \cdot \left(z \cdot k - x \cdot j\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{+21}:\\ \;\;\;\;\left(y \cdot b\right) \cdot \left(x \cdot a - k \cdot y4\right)\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{-103}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-64}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-34}:\\ \;\;\;\;z \cdot \left(a \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 1.56 \cdot 10^{-9}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(k \cdot y2 - j \cdot y3\right)\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{+95}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 23: 31.0% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -3.1 \cdot 10^{+60}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-73}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.7 \cdot 10^{-182}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2.9 \cdot 10^{-282}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{-231}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 4.3 \cdot 10^{-157}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{-19}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{+172}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -3.1e+60)
   (* (* y a) (- (* x b) (* y3 y5)))
   (if (<= a -3.2e-73)
     (* k (* y1 (- (* y2 y4) (* z i))))
     (if (<= a -4.7e-182)
       (* c (* y4 (- (* y y3) (* t y2))))
       (if (<= a -2.9e-282)
         (* y4 (* t (- (* b j) (* c y2))))
         (if (<= a 1.6e-231)
           (* y5 (* k (- (* y i) (* y0 y2))))
           (if (<= a 4.3e-157)
             (* y4 (* b (- (* t j) (* y k))))
             (if (<= a 5.5e-19)
               (* k (* y2 (- (* y1 y4) (* y0 y5))))
               (if (<= a 3.8e+172)
                 (* k (* b (- (* z y0) (* y y4))))
                 (* a (* b (- (* x y) (* z t)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (a <= -3.1e+60) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (a <= -3.2e-73) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= -4.7e-182) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= -2.9e-282) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (a <= 1.6e-231) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (a <= 4.3e-157) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (a <= 5.5e-19) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 3.8e+172) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = a * (b * ((x * y) - (z * t)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (a <= (-3.1d+60)) then
        tmp = (y * a) * ((x * b) - (y3 * y5))
    else if (a <= (-3.2d-73)) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (a <= (-4.7d-182)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (a <= (-2.9d-282)) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (a <= 1.6d-231) then
        tmp = y5 * (k * ((y * i) - (y0 * y2)))
    else if (a <= 4.3d-157) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (a <= 5.5d-19) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (a <= 3.8d+172) then
        tmp = k * (b * ((z * y0) - (y * y4)))
    else
        tmp = a * (b * ((x * y) - (z * t)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (a <= -3.1e+60) {
		tmp = (y * a) * ((x * b) - (y3 * y5));
	} else if (a <= -3.2e-73) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= -4.7e-182) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= -2.9e-282) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (a <= 1.6e-231) {
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	} else if (a <= 4.3e-157) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (a <= 5.5e-19) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (a <= 3.8e+172) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else {
		tmp = a * (b * ((x * y) - (z * t)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if a <= -3.1e+60:
		tmp = (y * a) * ((x * b) - (y3 * y5))
	elif a <= -3.2e-73:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif a <= -4.7e-182:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif a <= -2.9e-282:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif a <= 1.6e-231:
		tmp = y5 * (k * ((y * i) - (y0 * y2)))
	elif a <= 4.3e-157:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif a <= 5.5e-19:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif a <= 3.8e+172:
		tmp = k * (b * ((z * y0) - (y * y4)))
	else:
		tmp = a * (b * ((x * y) - (z * t)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (a <= -3.1e+60)
		tmp = Float64(Float64(y * a) * Float64(Float64(x * b) - Float64(y3 * y5)));
	elseif (a <= -3.2e-73)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (a <= -4.7e-182)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (a <= -2.9e-282)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (a <= 1.6e-231)
		tmp = Float64(y5 * Float64(k * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (a <= 4.3e-157)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (a <= 5.5e-19)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (a <= 3.8e+172)
		tmp = Float64(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))));
	else
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (a <= -3.1e+60)
		tmp = (y * a) * ((x * b) - (y3 * y5));
	elseif (a <= -3.2e-73)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (a <= -4.7e-182)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (a <= -2.9e-282)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (a <= 1.6e-231)
		tmp = y5 * (k * ((y * i) - (y0 * y2)));
	elseif (a <= 4.3e-157)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (a <= 5.5e-19)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (a <= 3.8e+172)
		tmp = k * (b * ((z * y0) - (y * y4)));
	else
		tmp = a * (b * ((x * y) - (z * t)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[a, -3.1e+60], N[(N[(y * a), $MachinePrecision] * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.2e-73], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.7e-182], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.9e-282], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.6e-231], N[(y5 * N[(k * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.3e-157], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.5e-19], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.8e+172], N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -3.1000000000000001e60

   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 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 y around inf 37.7%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 37.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 37.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in a around inf 55.1%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 53.4%

         \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      2. +-commutative 53.4%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      3. mul-1-neg 53.4%

         \[\leadsto \left(y \cdot a\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      4. unsub-neg 53.4%

         \[\leadsto \left(y \cdot a\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

   9. Simplified 53.4%

      \[\leadsto \color{blue}{\left(y \cdot a\right) \cdot \left(b \cdot x - y3 \cdot y5\right)} \]

   if -3.1000000000000001e60 < a < -3.19999999999999986e-73

   1. Initial program 12.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 44.6%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 41.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 41.4%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 41.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 41.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if -3.19999999999999986e-73 < a < -4.7e-182

   1. Initial program 42.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 42.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 52.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 53.4%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -4.7e-182 < a < -2.89999999999999998e-282

   1. Initial program 41.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 41.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 48.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 54.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   if -2.89999999999999998e-282 < a < 1.60000000000000004e-231

   1. Initial program 27.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 40.8%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y5 around inf 41.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right) \cdot y5\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 47.6%

         \[\leadsto \color{blue}{\left(k \cdot \left(y \cdot i + -1 \cdot \left(y0 \cdot y2\right)\right)\right) \cdot y5} \]

      2. mul-1-neg 47.6%

         \[\leadsto \left(k \cdot \left(y \cdot i + \color{blue}{\left(-y0 \cdot y2\right)}\right)\right) \cdot y5 \]

      3. unsub-neg 47.6%

         \[\leadsto \left(k \cdot \color{blue}{\left(y \cdot i - y0 \cdot y2\right)}\right) \cdot y5 \]

      4. *-commutative 47.6%

         \[\leadsto \left(k \cdot \left(\color{blue}{i \cdot y} - y0 \cdot y2\right)\right) \cdot y5 \]

      5. *-commutative 47.6%

         \[\leadsto \left(k \cdot \left(i \cdot y - \color{blue}{y2 \cdot y0}\right)\right) \cdot y5 \]

   7. Simplified 47.6%

      \[\leadsto \color{blue}{\left(k \cdot \left(i \cdot y - y2 \cdot y0\right)\right) \cdot y5} \]

   if 1.60000000000000004e-231 < a < 4.2999999999999998e-157

   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 15.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 47.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 48.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if 4.2999999999999998e-157 < a < 5.4999999999999996e-19

   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 k around inf 48.9%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y2 around inf 49.7%

      \[\leadsto k \cdot \color{blue}{\left(\left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)} \]

   if 5.4999999999999996e-19 < a < 3.7999999999999997e172

   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 52.6%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 42.5%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 42.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.9%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 42.9%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 42.9%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]

   if 3.7999999999999997e172 < a

   1. Initial program 11.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 40.7%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 55.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 49.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -3.1 \cdot 10^{+60}:\\ \;\;\;\;\left(y \cdot a\right) \cdot \left(x \cdot b - y3 \cdot y5\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-73}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.7 \cdot 10^{-182}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2.9 \cdot 10^{-282}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{-231}:\\ \;\;\;\;y5 \cdot \left(k \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 4.3 \cdot 10^{-157}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{-19}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{+172}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 24: 32.0% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ t_2 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y5 \leq -2.55 \cdot 10^{+131}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{-10}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 2.12 \cdot 10^{-75}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{+80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 1.75 \cdot 10^{+155} \lor \neg \left(y5 \leq 2.7 \cdot 10^{+204}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* b (- (* z y0) (* y y4)))))
        (t_2 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y5 -2.55e+131)
     t_2
     (if (<= y5 -2.7e-10)
       t_1
       (if (<= y5 2.12e-75)
         (* k (* y1 (- (* y2 y4) (* z i))))
         (if (<= y5 8.6e+80)
           t_1
           (if (or (<= y5 1.75e+155) (not (<= y5 2.7e+204)))
             t_2
             (* y0 (* k (* y2 (- y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (b * ((z * y0) - (y * y4)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y5 <= -2.55e+131) {
		tmp = t_2;
	} else if (y5 <= -2.7e-10) {
		tmp = t_1;
	} else if (y5 <= 2.12e-75) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y5 <= 8.6e+80) {
		tmp = t_1;
	} else if ((y5 <= 1.75e+155) || !(y5 <= 2.7e+204)) {
		tmp = t_2;
	} else {
		tmp = y0 * (k * (y2 * -y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = k * (b * ((z * y0) - (y * y4)))
    t_2 = a * (y5 * ((t * y2) - (y * y3)))
    if (y5 <= (-2.55d+131)) then
        tmp = t_2
    else if (y5 <= (-2.7d-10)) then
        tmp = t_1
    else if (y5 <= 2.12d-75) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (y5 <= 8.6d+80) then
        tmp = t_1
    else if ((y5 <= 1.75d+155) .or. (.not. (y5 <= 2.7d+204))) then
        tmp = t_2
    else
        tmp = y0 * (k * (y2 * -y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (b * ((z * y0) - (y * y4)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y5 <= -2.55e+131) {
		tmp = t_2;
	} else if (y5 <= -2.7e-10) {
		tmp = t_1;
	} else if (y5 <= 2.12e-75) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y5 <= 8.6e+80) {
		tmp = t_1;
	} else if ((y5 <= 1.75e+155) || !(y5 <= 2.7e+204)) {
		tmp = t_2;
	} else {
		tmp = y0 * (k * (y2 * -y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (b * ((z * y0) - (y * y4)))
	t_2 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y5 <= -2.55e+131:
		tmp = t_2
	elif y5 <= -2.7e-10:
		tmp = t_1
	elif y5 <= 2.12e-75:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif y5 <= 8.6e+80:
		tmp = t_1
	elif (y5 <= 1.75e+155) or not (y5 <= 2.7e+204):
		tmp = t_2
	else:
		tmp = y0 * (k * (y2 * -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(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))))
	t_2 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y5 <= -2.55e+131)
		tmp = t_2;
	elseif (y5 <= -2.7e-10)
		tmp = t_1;
	elseif (y5 <= 2.12e-75)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y5 <= 8.6e+80)
		tmp = t_1;
	elseif ((y5 <= 1.75e+155) || !(y5 <= 2.7e+204))
		tmp = t_2;
	else
		tmp = Float64(y0 * Float64(k * Float64(y2 * Float64(-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 = k * (b * ((z * y0) - (y * y4)));
	t_2 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y5 <= -2.55e+131)
		tmp = t_2;
	elseif (y5 <= -2.7e-10)
		tmp = t_1;
	elseif (y5 <= 2.12e-75)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (y5 <= 8.6e+80)
		tmp = t_1;
	elseif ((y5 <= 1.75e+155) || ~((y5 <= 2.7e+204)))
		tmp = t_2;
	else
		tmp = y0 * (k * (y2 * -y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.55e+131], t$95$2, If[LessEqual[y5, -2.7e-10], t$95$1, If[LessEqual[y5, 2.12e-75], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8.6e+80], t$95$1, If[Or[LessEqual[y5, 1.75e+155], N[Not[LessEqual[y5, 2.7e+204]], $MachinePrecision]], t$95$2, N[(y0 * N[(k * N[(y2 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -2.5500000000000002e131 or 8.60000000000000008e80 < y5 < 1.74999999999999992e155 or 2.6999999999999999e204 < y5

   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 y5 around inf 33.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 33.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 33.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 54.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if -2.5500000000000002e131 < y5 < -2.7e-10 or 2.12e-75 < y5 < 8.60000000000000008e80

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.4%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 47.2%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 41.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.7%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 41.7%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 41.7%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 41.7%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 41.7%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]

   if -2.7e-10 < y5 < 2.12e-75

   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 35.5%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 37.2%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 35.7%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 35.7%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 35.7%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 35.7%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 1.74999999999999992e155 < y5 < 2.6999999999999999e204

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 15.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 15.4%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 15.4%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 15.4%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 38.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 38.7%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 38.7%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 38.7%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around inf 47.4%

       \[\leadsto \left(-y0\right) \cdot \color{blue}{\left(k \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 42.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.55 \cdot 10^{+131}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{-10}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.12 \cdot 10^{-75}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{+80}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.75 \cdot 10^{+155} \lor \neg \left(y5 \leq 2.7 \cdot 10^{+204}\right):\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \]

Alternative 25: 31.7% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y5 \leq -3.9 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{-10}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-206}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{+51}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.75 \cdot 10^{+155} \lor \neg \left(y5 \leq 3 \cdot 10^{+204}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y5 -3.9e+129)
     t_1
     (if (<= y5 -2.5e-10)
       (* k (* b (- (* z y0) (* y y4))))
       (if (<= y5 9e-206)
         (* k (* y1 (- (* y2 y4) (* z i))))
         (if (<= y5 1.2e+51)
           (* k (* z (- (* b y0) (* i y1))))
           (if (or (<= y5 1.75e+155) (not (<= y5 3e+204)))
             t_1
             (* y0 (* k (* y2 (- y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y5 <= -3.9e+129) {
		tmp = t_1;
	} else if (y5 <= -2.5e-10) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else if (y5 <= 9e-206) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y5 <= 1.2e+51) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if ((y5 <= 1.75e+155) || !(y5 <= 3e+204)) {
		tmp = t_1;
	} else {
		tmp = y0 * (k * (y2 * -y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y5 * ((t * y2) - (y * y3)))
    if (y5 <= (-3.9d+129)) then
        tmp = t_1
    else if (y5 <= (-2.5d-10)) then
        tmp = k * (b * ((z * y0) - (y * y4)))
    else if (y5 <= 9d-206) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (y5 <= 1.2d+51) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if ((y5 <= 1.75d+155) .or. (.not. (y5 <= 3d+204))) then
        tmp = t_1
    else
        tmp = y0 * (k * (y2 * -y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y5 <= -3.9e+129) {
		tmp = t_1;
	} else if (y5 <= -2.5e-10) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else if (y5 <= 9e-206) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y5 <= 1.2e+51) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if ((y5 <= 1.75e+155) || !(y5 <= 3e+204)) {
		tmp = t_1;
	} else {
		tmp = y0 * (k * (y2 * -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 * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y5 <= -3.9e+129:
		tmp = t_1
	elif y5 <= -2.5e-10:
		tmp = k * (b * ((z * y0) - (y * y4)))
	elif y5 <= 9e-206:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif y5 <= 1.2e+51:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif (y5 <= 1.75e+155) or not (y5 <= 3e+204):
		tmp = t_1
	else:
		tmp = y0 * (k * (y2 * -y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y5 <= -3.9e+129)
		tmp = t_1;
	elseif (y5 <= -2.5e-10)
		tmp = Float64(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (y5 <= 9e-206)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y5 <= 1.2e+51)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif ((y5 <= 1.75e+155) || !(y5 <= 3e+204))
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(k * Float64(y2 * Float64(-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 * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y5 <= -3.9e+129)
		tmp = t_1;
	elseif (y5 <= -2.5e-10)
		tmp = k * (b * ((z * y0) - (y * y4)));
	elseif (y5 <= 9e-206)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (y5 <= 1.2e+51)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif ((y5 <= 1.75e+155) || ~((y5 <= 3e+204)))
		tmp = t_1;
	else
		tmp = y0 * (k * (y2 * -y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -3.9e+129], t$95$1, If[LessEqual[y5, -2.5e-10], N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9e-206], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.2e+51], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y5, 1.75e+155], N[Not[LessEqual[y5, 3e+204]], $MachinePrecision]], t$95$1, N[(y0 * N[(k * N[(y2 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -3.8999999999999997e129 or 1.1999999999999999e51 < y5 < 1.74999999999999992e155 or 2.99999999999999983e204 < y5

   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 22.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 35.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 35.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 54.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if -3.8999999999999997e129 < y5 < -2.50000000000000016e-10

   1. Initial program 38.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 54.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 40.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 43.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.5%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 43.5%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 43.5%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 43.5%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 43.5%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]

   if -2.50000000000000016e-10 < y5 < 8.9999999999999996e-206

   1. Initial program 26.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 36.9%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 37.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 37.3%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 37.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 37.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 8.9999999999999996e-206 < y5 < 1.1999999999999999e51

   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 36.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 48.2%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in z around inf 37.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z\right)} \]

   if 1.74999999999999992e155 < y5 < 2.99999999999999983e204

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 15.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 15.4%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 15.4%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 15.4%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 38.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 38.7%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 38.7%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 38.7%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around inf 47.4%

       \[\leadsto \left(-y0\right) \cdot \color{blue}{\left(k \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -3.9 \cdot 10^{+129}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{-10}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-206}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{+51}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.75 \cdot 10^{+155} \lor \neg \left(y5 \leq 3 \cdot 10^{+204}\right):\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(y2 \cdot \left(-y5\right)\right)\right)\\ \end{array} \]

Alternative 26: 31.8% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;y5 \leq -8.8 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq -1.35 \cdot 10^{-10}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{-207}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 5 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{+155} \lor \neg \left(y5 \leq 9.8 \cdot 10^{+200}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= y5 -8.8e+129)
     t_1
     (if (<= y5 -1.35e-10)
       (* k (* b (- (* z y0) (* y y4))))
       (if (<= y5 9.2e-207)
         (* k (* y1 (- (* y2 y4) (* z i))))
         (if (<= y5 5e+48)
           (* k (* z (- (* b y0) (* i y1))))
           (if (or (<= y5 1.35e+155) (not (<= y5 9.8e+200)))
             t_1
             (* 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 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y5 <= -8.8e+129) {
		tmp = t_1;
	} else if (y5 <= -1.35e-10) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else if (y5 <= 9.2e-207) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y5 <= 5e+48) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if ((y5 <= 1.35e+155) || !(y5 <= 9.8e+200)) {
		tmp = t_1;
	} 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) :: tmp
    t_1 = a * (y5 * ((t * y2) - (y * y3)))
    if (y5 <= (-8.8d+129)) then
        tmp = t_1
    else if (y5 <= (-1.35d-10)) then
        tmp = k * (b * ((z * y0) - (y * y4)))
    else if (y5 <= 9.2d-207) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (y5 <= 5d+48) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if ((y5 <= 1.35d+155) .or. (.not. (y5 <= 9.8d+200))) then
        tmp = t_1
    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 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (y5 <= -8.8e+129) {
		tmp = t_1;
	} else if (y5 <= -1.35e-10) {
		tmp = k * (b * ((z * y0) - (y * y4)));
	} else if (y5 <= 9.2e-207) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y5 <= 5e+48) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if ((y5 <= 1.35e+155) || !(y5 <= 9.8e+200)) {
		tmp = t_1;
	} 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 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if y5 <= -8.8e+129:
		tmp = t_1
	elif y5 <= -1.35e-10:
		tmp = k * (b * ((z * y0) - (y * y4)))
	elif y5 <= 9.2e-207:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif y5 <= 5e+48:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif (y5 <= 1.35e+155) or not (y5 <= 9.8e+200):
		tmp = t_1
	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(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (y5 <= -8.8e+129)
		tmp = t_1;
	elseif (y5 <= -1.35e-10)
		tmp = Float64(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (y5 <= 9.2e-207)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y5 <= 5e+48)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif ((y5 <= 1.35e+155) || !(y5 <= 9.8e+200))
		tmp = t_1;
	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 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (y5 <= -8.8e+129)
		tmp = t_1;
	elseif (y5 <= -1.35e-10)
		tmp = k * (b * ((z * y0) - (y * y4)));
	elseif (y5 <= 9.2e-207)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (y5 <= 5e+48)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif ((y5 <= 1.35e+155) || ~((y5 <= 9.8e+200)))
		tmp = t_1;
	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[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8.8e+129], t$95$1, If[LessEqual[y5, -1.35e-10], N[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.2e-207], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5e+48], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y5, 1.35e+155], N[Not[LessEqual[y5, 9.8e+200]], $MachinePrecision]], t$95$1, 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 y5 < -8.7999999999999997e129 or 4.99999999999999973e48 < y5 < 1.34999999999999997e155 or 9.79999999999999964e200 < y5

   1. Initial program 22.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 34.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 34.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 53.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if -8.7999999999999997e129 < y5 < -1.35e-10

   1. Initial program 38.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 54.3%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 40.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 43.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.5%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 43.5%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 43.5%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 43.5%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 43.5%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]

   if -1.35e-10 < y5 < 9.2000000000000002e-207

   1. Initial program 26.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 36.9%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 37.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 37.3%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 37.3%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 37.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if 9.2000000000000002e-207 < y5 < 4.99999999999999973e48

   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 36.7%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 48.2%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in z around inf 37.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z\right)} \]

   if 1.34999999999999997e155 < y5 < 9.79999999999999964e200

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 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 k around inf 28.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y2 around inf 56.7%

      \[\leadsto k \cdot \color{blue}{\left(\left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.8 \cdot 10^{+129}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.35 \cdot 10^{-10}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{-207}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 5 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{+155} \lor \neg \left(y5 \leq 9.8 \cdot 10^{+200}\right):\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]

Alternative 27: 23.6% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ t_2 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;a \leq -2.7 \cdot 10^{+83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-212}:\\ \;\;\;\;y4 \cdot \left(\left(c \cdot y2\right) \cdot \left(-t\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-168}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.25 \cdot 10^{+104}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2.85 \cdot 10^{+183}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y4 (* y1 y2)))) (t_2 (* a (* b (- (* x y) (* z t))))))
   (if (<= a -2.7e+83)
     t_2
     (if (<= a -8e-212)
       (* y4 (* (* c y2) (- t)))
       (if (<= a 7e-168)
         (* t (* y4 (* b j)))
         (if (<= a 6.5e-37)
           t_1
           (if (<= a 2.25e+104)
             (* y0 (* j (* y3 y5)))
             (if (<= a 2.85e+183) t_1 t_2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y4 * (y1 * y2));
	double t_2 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (a <= -2.7e+83) {
		tmp = t_2;
	} else if (a <= -8e-212) {
		tmp = y4 * ((c * y2) * -t);
	} else if (a <= 7e-168) {
		tmp = t * (y4 * (b * j));
	} else if (a <= 6.5e-37) {
		tmp = t_1;
	} else if (a <= 2.25e+104) {
		tmp = y0 * (j * (y3 * y5));
	} else if (a <= 2.85e+183) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = k * (y4 * (y1 * y2))
    t_2 = a * (b * ((x * y) - (z * t)))
    if (a <= (-2.7d+83)) then
        tmp = t_2
    else if (a <= (-8d-212)) then
        tmp = y4 * ((c * y2) * -t)
    else if (a <= 7d-168) then
        tmp = t * (y4 * (b * j))
    else if (a <= 6.5d-37) then
        tmp = t_1
    else if (a <= 2.25d+104) then
        tmp = y0 * (j * (y3 * y5))
    else if (a <= 2.85d+183) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y4 * (y1 * y2));
	double t_2 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (a <= -2.7e+83) {
		tmp = t_2;
	} else if (a <= -8e-212) {
		tmp = y4 * ((c * y2) * -t);
	} else if (a <= 7e-168) {
		tmp = t * (y4 * (b * j));
	} else if (a <= 6.5e-37) {
		tmp = t_1;
	} else if (a <= 2.25e+104) {
		tmp = y0 * (j * (y3 * y5));
	} else if (a <= 2.85e+183) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y4 * (y1 * y2))
	t_2 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if a <= -2.7e+83:
		tmp = t_2
	elif a <= -8e-212:
		tmp = y4 * ((c * y2) * -t)
	elif a <= 7e-168:
		tmp = t * (y4 * (b * j))
	elif a <= 6.5e-37:
		tmp = t_1
	elif a <= 2.25e+104:
		tmp = y0 * (j * (y3 * y5))
	elif a <= 2.85e+183:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y4 * Float64(y1 * y2)))
	t_2 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (a <= -2.7e+83)
		tmp = t_2;
	elseif (a <= -8e-212)
		tmp = Float64(y4 * Float64(Float64(c * y2) * Float64(-t)));
	elseif (a <= 7e-168)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	elseif (a <= 6.5e-37)
		tmp = t_1;
	elseif (a <= 2.25e+104)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (a <= 2.85e+183)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y4 * (y1 * y2));
	t_2 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (a <= -2.7e+83)
		tmp = t_2;
	elseif (a <= -8e-212)
		tmp = y4 * ((c * y2) * -t);
	elseif (a <= 7e-168)
		tmp = t * (y4 * (b * j));
	elseif (a <= 6.5e-37)
		tmp = t_1;
	elseif (a <= 2.25e+104)
		tmp = y0 * (j * (y3 * y5));
	elseif (a <= 2.85e+183)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.7e+83], t$95$2, If[LessEqual[a, -8e-212], N[(y4 * N[(N[(c * y2), $MachinePrecision] * (-t)), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7e-168], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.5e-37], t$95$1, If[LessEqual[a, 2.25e+104], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.85e+183], t$95$1, t$95$2]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if a < -2.70000000000000007e83 or 2.8499999999999999e183 < a

   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 b around inf 41.2%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 48.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if -2.70000000000000007e83 < a < -7.99999999999999963e-212

   1. Initial program 26.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 26.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 46.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 33.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 27.8%

      \[\leadsto y4 \cdot \left(t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot y2\right)\right)}\right) \]
   7. Step-by-step derivation

      1. mul-1-neg 27.8%

         \[\leadsto y4 \cdot \left(t \cdot \color{blue}{\left(-c \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 27.8%

         \[\leadsto y4 \cdot \left(t \cdot \color{blue}{\left(\left(-c\right) \cdot y2\right)}\right) \]

      3. *-commutative 27.8%

         \[\leadsto y4 \cdot \left(t \cdot \color{blue}{\left(y2 \cdot \left(-c\right)\right)}\right) \]

   8. Simplified 27.8%

      \[\leadsto y4 \cdot \left(t \cdot \color{blue}{\left(y2 \cdot \left(-c\right)\right)}\right) \]

   if -7.99999999999999963e-212 < a < 6.99999999999999964e-168

   1. Initial program 30.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 40.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 38.5%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 38.5%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 38.5%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 38.5%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 38.5%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 38.2%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 38.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   9. Taylor expanded in j around inf 35.9%

      \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right)} \cdot y4\right) \]
   10. Step-by-step derivation

       1. *-commutative 35.9%

          \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot b\right)} \cdot y4\right) \]

   11. Simplified 35.9%

       \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot b\right)} \cdot y4\right) \]

   if 6.99999999999999964e-168 < a < 6.5000000000000001e-37 or 2.2499999999999999e104 < a < 2.8499999999999999e183

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 54.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 43.1%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 45.1%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 45.1%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 38.8%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]

   if 6.5000000000000001e-37 < a < 2.2499999999999999e104

   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 y5 around inf 46.7%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 46.7%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 34.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 34.6%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 34.6%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 34.6%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around 0 31.2%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 31.2%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j\right) \cdot y5\right)} \]

       2. *-commutative 31.2%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(j \cdot y3\right)} \cdot y5\right) \]

       3. associate-*l* 31.2%

          \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   12. Simplified 31.2%

       \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 38.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.7 \cdot 10^{+83}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-212}:\\ \;\;\;\;y4 \cdot \left(\left(c \cdot y2\right) \cdot \left(-t\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-168}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-37}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.25 \cdot 10^{+104}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2.85 \cdot 10^{+183}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \end{array} \]

Alternative 28: 31.7% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ t_2 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;b \leq -1.8 \cdot 10^{+22}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-107}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 170000000000:\\ \;\;\;\;y0 \cdot \left(\left(k \cdot y5\right) \cdot \left(-y2\right)\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 8.8 \cdot 10^{+67}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{+136}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* b (- (* z y0) (* y y4)))))
        (t_2 (* a (* b (- (* x y) (* z t))))))
   (if (<= b -1.8e+22)
     t_1
     (if (<= b 1.35e-107)
       (* a (* y5 (- (* t y2) (* y y3))))
       (if (<= b 170000000000.0)
         (* y0 (* (* k y5) (- y2)))
         (if (<= b 5.8e+41)
           t_2
           (if (<= b 8.8e+67)
             (* y4 (* t (* b j)))
             (if (<= b 2.05e+136) 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 = k * (b * ((z * y0) - (y * y4)));
	double t_2 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (b <= -1.8e+22) {
		tmp = t_1;
	} else if (b <= 1.35e-107) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= 170000000000.0) {
		tmp = y0 * ((k * y5) * -y2);
	} else if (b <= 5.8e+41) {
		tmp = t_2;
	} else if (b <= 8.8e+67) {
		tmp = y4 * (t * (b * j));
	} else if (b <= 2.05e+136) {
		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 = k * (b * ((z * y0) - (y * y4)))
    t_2 = a * (b * ((x * y) - (z * t)))
    if (b <= (-1.8d+22)) then
        tmp = t_1
    else if (b <= 1.35d-107) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (b <= 170000000000.0d0) then
        tmp = y0 * ((k * y5) * -y2)
    else if (b <= 5.8d+41) then
        tmp = t_2
    else if (b <= 8.8d+67) then
        tmp = y4 * (t * (b * j))
    else if (b <= 2.05d+136) 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 = k * (b * ((z * y0) - (y * y4)));
	double t_2 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (b <= -1.8e+22) {
		tmp = t_1;
	} else if (b <= 1.35e-107) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= 170000000000.0) {
		tmp = y0 * ((k * y5) * -y2);
	} else if (b <= 5.8e+41) {
		tmp = t_2;
	} else if (b <= 8.8e+67) {
		tmp = y4 * (t * (b * j));
	} else if (b <= 2.05e+136) {
		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 = k * (b * ((z * y0) - (y * y4)))
	t_2 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if b <= -1.8e+22:
		tmp = t_1
	elif b <= 1.35e-107:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif b <= 170000000000.0:
		tmp = y0 * ((k * y5) * -y2)
	elif b <= 5.8e+41:
		tmp = t_2
	elif b <= 8.8e+67:
		tmp = y4 * (t * (b * j))
	elif b <= 2.05e+136:
		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(k * Float64(b * Float64(Float64(z * y0) - Float64(y * y4))))
	t_2 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (b <= -1.8e+22)
		tmp = t_1;
	elseif (b <= 1.35e-107)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (b <= 170000000000.0)
		tmp = Float64(y0 * Float64(Float64(k * y5) * Float64(-y2)));
	elseif (b <= 5.8e+41)
		tmp = t_2;
	elseif (b <= 8.8e+67)
		tmp = Float64(y4 * Float64(t * Float64(b * j)));
	elseif (b <= 2.05e+136)
		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 = k * (b * ((z * y0) - (y * y4)));
	t_2 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (b <= -1.8e+22)
		tmp = t_1;
	elseif (b <= 1.35e-107)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (b <= 170000000000.0)
		tmp = y0 * ((k * y5) * -y2);
	elseif (b <= 5.8e+41)
		tmp = t_2;
	elseif (b <= 8.8e+67)
		tmp = y4 * (t * (b * j));
	elseif (b <= 2.05e+136)
		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[(k * N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.8e+22], t$95$1, If[LessEqual[b, 1.35e-107], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 170000000000.0], N[(y0 * N[(N[(k * y5), $MachinePrecision] * (-y2)), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.8e+41], t$95$2, If[LessEqual[b, 8.8e+67], N[(y4 * N[(t * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.05e+136], t$95$2, t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if b < -1.8e22 or 2.0499999999999999e136 < b

   1. Initial program 15.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.9%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 37.0%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 45.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right) \cdot b\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.9%

         \[\leadsto k \cdot \color{blue}{\left(b \cdot \left(y0 \cdot z + -1 \cdot \left(y4 \cdot y\right)\right)\right)} \]

      2. mul-1-neg 45.9%

         \[\leadsto k \cdot \left(b \cdot \left(y0 \cdot z + \color{blue}{\left(-y4 \cdot y\right)}\right)\right) \]

      3. unsub-neg 45.9%

         \[\leadsto k \cdot \left(b \cdot \color{blue}{\left(y0 \cdot z - y4 \cdot y\right)}\right) \]

      4. *-commutative 45.9%

         \[\leadsto k \cdot \left(b \cdot \left(\color{blue}{z \cdot y0} - y4 \cdot y\right)\right) \]

   7. Simplified 45.9%

      \[\leadsto \color{blue}{k \cdot \left(b \cdot \left(z \cdot y0 - y4 \cdot y\right)\right)} \]

   if -1.8e22 < b < 1.35e-107

   1. Initial program 36.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 44.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 44.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 44.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 33.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if 1.35e-107 < b < 1.7e11

   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 y5 around inf 28.7%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 28.7%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 28.7%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 31.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 31.8%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 31.8%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 31.8%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around inf 27.1%

       \[\leadsto \left(-y0\right) \cdot \color{blue}{\left(k \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 32.0%

          \[\leadsto \left(-y0\right) \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot y2\right)} \]

   12. Simplified 32.0%

       \[\leadsto \left(-y0\right) \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot y2\right)} \]

   if 1.7e11 < b < 5.79999999999999977e41 or 8.8e67 < b < 2.0499999999999999e136

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 40.9%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 52.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if 5.79999999999999977e41 < b < 8.8e67

   1. Initial program 56.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 56.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 78.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 57.3%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in b around inf 57.3%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 39.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.8 \cdot 10^{+22}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-107}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 170000000000:\\ \;\;\;\;y0 \cdot \left(\left(k \cdot y5\right) \cdot \left(-y2\right)\right)\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+41}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;b \leq 8.8 \cdot 10^{+67}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{+136}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \end{array} \]

Alternative 29: 21.0% accurate, 4.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{if}\;y5 \leq -9.8 \cdot 10^{+230}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq -3.45 \cdot 10^{+146}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.1 \cdot 10^{+109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq -13500:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{-300}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 10^{-71}:\\ \;\;\;\;z \cdot \left(a \cdot \left(-t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 4.8 \cdot 10^{+49}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y5 (* y3 (- y))))))
   (if (<= y5 -9.8e+230)
     t_1
     (if (<= y5 -3.45e+146)
       (* t (* a (* y2 y5)))
       (if (<= y5 -1.1e+109)
         t_1
         (if (<= y5 -13500.0)
           (* k (* b (* z y0)))
           (if (<= y5 -2.5e-300)
             (* (* k y2) (* y1 y4))
             (if (<= y5 1e-71)
               (* z (* a (- (* t b))))
               (if (<= y5 4.8e+49) (* z (* b (* k y0))) t_1)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * (y3 * -y));
	double tmp;
	if (y5 <= -9.8e+230) {
		tmp = t_1;
	} else if (y5 <= -3.45e+146) {
		tmp = t * (a * (y2 * y5));
	} else if (y5 <= -1.1e+109) {
		tmp = t_1;
	} else if (y5 <= -13500.0) {
		tmp = k * (b * (z * y0));
	} else if (y5 <= -2.5e-300) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 1e-71) {
		tmp = z * (a * -(t * b));
	} else if (y5 <= 4.8e+49) {
		tmp = z * (b * (k * y0));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y5 * (y3 * -y))
    if (y5 <= (-9.8d+230)) then
        tmp = t_1
    else if (y5 <= (-3.45d+146)) then
        tmp = t * (a * (y2 * y5))
    else if (y5 <= (-1.1d+109)) then
        tmp = t_1
    else if (y5 <= (-13500.0d0)) then
        tmp = k * (b * (z * y0))
    else if (y5 <= (-2.5d-300)) then
        tmp = (k * y2) * (y1 * y4)
    else if (y5 <= 1d-71) then
        tmp = z * (a * -(t * b))
    else if (y5 <= 4.8d+49) then
        tmp = z * (b * (k * y0))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * (y3 * -y));
	double tmp;
	if (y5 <= -9.8e+230) {
		tmp = t_1;
	} else if (y5 <= -3.45e+146) {
		tmp = t * (a * (y2 * y5));
	} else if (y5 <= -1.1e+109) {
		tmp = t_1;
	} else if (y5 <= -13500.0) {
		tmp = k * (b * (z * y0));
	} else if (y5 <= -2.5e-300) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 1e-71) {
		tmp = z * (a * -(t * b));
	} else if (y5 <= 4.8e+49) {
		tmp = z * (b * (k * y0));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y5 * (y3 * -y))
	tmp = 0
	if y5 <= -9.8e+230:
		tmp = t_1
	elif y5 <= -3.45e+146:
		tmp = t * (a * (y2 * y5))
	elif y5 <= -1.1e+109:
		tmp = t_1
	elif y5 <= -13500.0:
		tmp = k * (b * (z * y0))
	elif y5 <= -2.5e-300:
		tmp = (k * y2) * (y1 * y4)
	elif y5 <= 1e-71:
		tmp = z * (a * -(t * b))
	elif y5 <= 4.8e+49:
		tmp = z * (b * (k * y0))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y5 * Float64(y3 * Float64(-y))))
	tmp = 0.0
	if (y5 <= -9.8e+230)
		tmp = t_1;
	elseif (y5 <= -3.45e+146)
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	elseif (y5 <= -1.1e+109)
		tmp = t_1;
	elseif (y5 <= -13500.0)
		tmp = Float64(k * Float64(b * Float64(z * y0)));
	elseif (y5 <= -2.5e-300)
		tmp = Float64(Float64(k * y2) * Float64(y1 * y4));
	elseif (y5 <= 1e-71)
		tmp = Float64(z * Float64(a * Float64(-Float64(t * b))));
	elseif (y5 <= 4.8e+49)
		tmp = Float64(z * Float64(b * Float64(k * y0)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y5 * (y3 * -y));
	tmp = 0.0;
	if (y5 <= -9.8e+230)
		tmp = t_1;
	elseif (y5 <= -3.45e+146)
		tmp = t * (a * (y2 * y5));
	elseif (y5 <= -1.1e+109)
		tmp = t_1;
	elseif (y5 <= -13500.0)
		tmp = k * (b * (z * y0));
	elseif (y5 <= -2.5e-300)
		tmp = (k * y2) * (y1 * y4);
	elseif (y5 <= 1e-71)
		tmp = z * (a * -(t * b));
	elseif (y5 <= 4.8e+49)
		tmp = z * (b * (k * y0));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y5 * N[(y3 * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -9.8e+230], t$95$1, If[LessEqual[y5, -3.45e+146], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.1e+109], t$95$1, If[LessEqual[y5, -13500.0], N[(k * N[(b * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.5e-300], N[(N[(k * y2), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1e-71], N[(z * N[(a * (-N[(t * b), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.8e+49], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -9.79999999999999938e230 or -3.44999999999999978e146 < y5 < -1.1e109 or 4.8e49 < y5

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 31.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 31.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 31.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 44.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around 0 43.2%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)} \]

      2. neg-mul-1 43.2%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(y \cdot \left(y3 \cdot y5\right)\right) \]

      3. associate-*r* 43.2%

         \[\leadsto \left(-a\right) \cdot \color{blue}{\left(\left(y \cdot y3\right) \cdot y5\right)} \]

      4. *-commutative 43.2%

         \[\leadsto \left(-a\right) \cdot \left(\color{blue}{\left(y3 \cdot y\right)} \cdot y5\right) \]

   10. Simplified 43.2%

       \[\leadsto \color{blue}{\left(-a\right) \cdot \left(\left(y3 \cdot y\right) \cdot y5\right)} \]

   if -9.79999999999999938e230 < y5 < -3.44999999999999978e146

   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 y5 around inf 42.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 42.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 57.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 59.0%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 65.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 65.0%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 65.0%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 65.0%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 65.0%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 65.0%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 65.0%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]

   if -1.1e109 < y5 < -13500

   1. Initial program 47.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 47.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 53.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 53.5%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 53.5%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 53.5%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in b around inf 36.5%

      \[\leadsto -\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z \]

   8. Taylor expanded in a around 0 31.0%

      \[\leadsto -\color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 31.0%

         \[\leadsto -\color{blue}{\left(-k \cdot \left(y0 \cdot \left(z \cdot b\right)\right)\right)} \]

      2. distribute-rgt-neg-in 31.0%

         \[\leadsto -\color{blue}{k \cdot \left(-y0 \cdot \left(z \cdot b\right)\right)} \]

      3. associate-*r* 42.3%

         \[\leadsto -k \cdot \left(-\color{blue}{\left(y0 \cdot z\right) \cdot b}\right) \]

      4. *-commutative 42.3%

         \[\leadsto -k \cdot \left(-\color{blue}{b \cdot \left(y0 \cdot z\right)}\right) \]

   10. Simplified 42.3%

       \[\leadsto -\color{blue}{k \cdot \left(-b \cdot \left(y0 \cdot z\right)\right)} \]

   if -13500 < y5 < -2.49999999999999998e-300

   1. Initial program 24.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 38.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 32.5%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 32.5%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 32.5%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 24.3%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 24.3%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y1 \cdot y2\right)\right) \cdot k} \]

      2. associate-*r* 24.3%

         \[\leadsto \color{blue}{\left(\left(y4 \cdot y1\right) \cdot y2\right)} \cdot k \]

      3. associate-*l* 25.5%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   10. Simplified 25.5%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   if -2.49999999999999998e-300 < y5 < 9.9999999999999992e-72

   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 29.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 47.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 47.1%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 47.1%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 47.1%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in b around inf 32.9%

      \[\leadsto -\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z \]

   8. Taylor expanded in a around inf 31.2%

      \[\leadsto -\color{blue}{\left(a \cdot \left(t \cdot b\right)\right)} \cdot z \]

   if 9.9999999999999992e-72 < y5 < 4.8e49

   1. Initial program 29.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 44.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 44.9%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 44.9%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 44.9%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in b around inf 37.6%

      \[\leadsto -\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z \]

   8. Taylor expanded in a around 0 40.2%

      \[\leadsto -\left(\color{blue}{\left(-1 \cdot \left(k \cdot y0\right)\right)} \cdot b\right) \cdot z \]
   9. Step-by-step derivation

      1. neg-mul-1 40.2%

         \[\leadsto -\left(\color{blue}{\left(-k \cdot y0\right)} \cdot b\right) \cdot z \]

      2. distribute-rgt-neg-in 40.2%

         \[\leadsto -\left(\color{blue}{\left(k \cdot \left(-y0\right)\right)} \cdot b\right) \cdot z \]

   10. Simplified 40.2%

       \[\leadsto -\left(\color{blue}{\left(k \cdot \left(-y0\right)\right)} \cdot b\right) \cdot z \]
3. Recombined 6 regimes into one program.

4. Final simplification 37.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -9.8 \cdot 10^{+230}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -3.45 \cdot 10^{+146}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.1 \cdot 10^{+109}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -13500:\\ \;\;\;\;k \cdot \left(b \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{-300}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 10^{-71}:\\ \;\;\;\;z \cdot \left(a \cdot \left(-t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 4.8 \cdot 10^{+49}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \end{array} \]

Alternative 30: 29.4% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;y3 \leq -4.4 \cdot 10^{+86}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.2 \cdot 10^{+31}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(-j \cdot y3\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-262}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t))))))
   (if (<= y3 -4.4e+86)
     (* a (* y5 (* y3 (- y))))
     (if (<= y3 -4.2e+31)
       (* (* y1 y4) (- (* j y3)))
       (if (<= y3 -3.5e-237)
         t_1
         (if (<= y3 -9.5e-262)
           (* (* k y2) (* y1 y4))
           (if (<= y3 9e+48) t_1 (* a (* y5 (- (* t y2) (* y y3)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y3 <= -4.4e+86) {
		tmp = a * (y5 * (y3 * -y));
	} else if (y3 <= -4.2e+31) {
		tmp = (y1 * y4) * -(j * y3);
	} else if (y3 <= -3.5e-237) {
		tmp = t_1;
	} else if (y3 <= -9.5e-262) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y3 <= 9e+48) {
		tmp = t_1;
	} else {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * ((x * y) - (z * t)))
    if (y3 <= (-4.4d+86)) then
        tmp = a * (y5 * (y3 * -y))
    else if (y3 <= (-4.2d+31)) then
        tmp = (y1 * y4) * -(j * y3)
    else if (y3 <= (-3.5d-237)) then
        tmp = t_1
    else if (y3 <= (-9.5d-262)) then
        tmp = (k * y2) * (y1 * y4)
    else if (y3 <= 9d+48) then
        tmp = t_1
    else
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y3 <= -4.4e+86) {
		tmp = a * (y5 * (y3 * -y));
	} else if (y3 <= -4.2e+31) {
		tmp = (y1 * y4) * -(j * y3);
	} else if (y3 <= -3.5e-237) {
		tmp = t_1;
	} else if (y3 <= -9.5e-262) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y3 <= 9e+48) {
		tmp = t_1;
	} else {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if y3 <= -4.4e+86:
		tmp = a * (y5 * (y3 * -y))
	elif y3 <= -4.2e+31:
		tmp = (y1 * y4) * -(j * y3)
	elif y3 <= -3.5e-237:
		tmp = t_1
	elif y3 <= -9.5e-262:
		tmp = (k * y2) * (y1 * y4)
	elif y3 <= 9e+48:
		tmp = t_1
	else:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (y3 <= -4.4e+86)
		tmp = Float64(a * Float64(y5 * Float64(y3 * Float64(-y))));
	elseif (y3 <= -4.2e+31)
		tmp = Float64(Float64(y1 * y4) * Float64(-Float64(j * y3)));
	elseif (y3 <= -3.5e-237)
		tmp = t_1;
	elseif (y3 <= -9.5e-262)
		tmp = Float64(Float64(k * y2) * Float64(y1 * y4));
	elseif (y3 <= 9e+48)
		tmp = t_1;
	else
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (y3 <= -4.4e+86)
		tmp = a * (y5 * (y3 * -y));
	elseif (y3 <= -4.2e+31)
		tmp = (y1 * y4) * -(j * y3);
	elseif (y3 <= -3.5e-237)
		tmp = t_1;
	elseif (y3 <= -9.5e-262)
		tmp = (k * y2) * (y1 * y4);
	elseif (y3 <= 9e+48)
		tmp = t_1;
	else
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -4.4e+86], N[(a * N[(y5 * N[(y3 * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -4.2e+31], N[(N[(y1 * y4), $MachinePrecision] * (-N[(j * y3), $MachinePrecision])), $MachinePrecision], If[LessEqual[y3, -3.5e-237], t$95$1, If[LessEqual[y3, -9.5e-262], N[(N[(k * y2), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9e+48], t$95$1, N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y3 < -4.40000000000000006e86

   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 27.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 37.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 37.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 38.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around 0 43.5%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 43.5%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)} \]

      2. neg-mul-1 43.5%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(y \cdot \left(y3 \cdot y5\right)\right) \]

      3. associate-*r* 43.5%

         \[\leadsto \left(-a\right) \cdot \color{blue}{\left(\left(y \cdot y3\right) \cdot y5\right)} \]

      4. *-commutative 43.5%

         \[\leadsto \left(-a\right) \cdot \left(\color{blue}{\left(y3 \cdot y\right)} \cdot y5\right) \]

   10. Simplified 43.5%

       \[\leadsto \color{blue}{\left(-a\right) \cdot \left(\left(y3 \cdot y\right) \cdot y5\right)} \]

   if -4.40000000000000006e86 < y3 < -4.19999999999999958e31

   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 33.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 76.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 59.2%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 59.2%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 59.2%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around 0 58.9%

      \[\leadsto \color{blue}{-1 \cdot \left(y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 58.9%

         \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]

      2. associate-*r* 58.9%

         \[\leadsto -\color{blue}{\left(y4 \cdot y1\right) \cdot \left(y3 \cdot j\right)} \]

      3. distribute-rgt-neg-in 58.9%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(-y3 \cdot j\right)} \]

      4. distribute-rgt-neg-in 58.9%

         \[\leadsto \left(y4 \cdot y1\right) \cdot \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \]

   10. Simplified 58.9%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y3 \cdot \left(-j\right)\right)} \]

   if -4.19999999999999958e31 < y3 < -3.49999999999999983e-237 or -9.4999999999999999e-262 < y3 < 8.99999999999999991e48

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 36.3%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 33.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if -3.49999999999999983e-237 < y3 < -9.4999999999999999e-262

   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 55.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 38.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 38.0%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 38.0%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 38.4%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 38.4%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y1 \cdot y2\right)\right) \cdot k} \]

      2. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(\left(y4 \cdot y1\right) \cdot y2\right)} \cdot k \]

      3. associate-*l* 47.1%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   10. Simplified 47.1%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   if 8.99999999999999991e48 < y3

   1. Initial program 18.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 36.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 36.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 41.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 39.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -4.4 \cdot 10^{+86}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -4.2 \cdot 10^{+31}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(-j \cdot y3\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-237}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-262}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+48}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \]

Alternative 31: 31.6% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ t_2 := t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{if}\;y1 \leq -2.25 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq 1.22 \cdot 10^{-131}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 3.6 \cdot 10^{+56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y1 \leq 4.8 \cdot 10^{+228}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{+263}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (- (* y2 y4) (* z i)))))
        (t_2 (* t (* y4 (- (* b j) (* c y2))))))
   (if (<= y1 -2.25e+27)
     t_1
     (if (<= y1 1.22e-131)
       (* a (* y5 (- (* t y2) (* y y3))))
       (if (<= y1 3.6e+56)
         t_2
         (if (<= y1 4.8e+228)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y1 7.5e+263) 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 = k * (y1 * ((y2 * y4) - (z * i)));
	double t_2 = t * (y4 * ((b * j) - (c * y2)));
	double tmp;
	if (y1 <= -2.25e+27) {
		tmp = t_1;
	} else if (y1 <= 1.22e-131) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y1 <= 3.6e+56) {
		tmp = t_2;
	} else if (y1 <= 4.8e+228) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y1 <= 7.5e+263) {
		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 = k * (y1 * ((y2 * y4) - (z * i)))
    t_2 = t * (y4 * ((b * j) - (c * y2)))
    if (y1 <= (-2.25d+27)) then
        tmp = t_1
    else if (y1 <= 1.22d-131) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y1 <= 3.6d+56) then
        tmp = t_2
    else if (y1 <= 4.8d+228) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y1 <= 7.5d+263) 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 = k * (y1 * ((y2 * y4) - (z * i)));
	double t_2 = t * (y4 * ((b * j) - (c * y2)));
	double tmp;
	if (y1 <= -2.25e+27) {
		tmp = t_1;
	} else if (y1 <= 1.22e-131) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y1 <= 3.6e+56) {
		tmp = t_2;
	} else if (y1 <= 4.8e+228) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y1 <= 7.5e+263) {
		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 = k * (y1 * ((y2 * y4) - (z * i)))
	t_2 = t * (y4 * ((b * j) - (c * y2)))
	tmp = 0
	if y1 <= -2.25e+27:
		tmp = t_1
	elif y1 <= 1.22e-131:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y1 <= 3.6e+56:
		tmp = t_2
	elif y1 <= 4.8e+228:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y1 <= 7.5e+263:
		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(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))))
	t_2 = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))))
	tmp = 0.0
	if (y1 <= -2.25e+27)
		tmp = t_1;
	elseif (y1 <= 1.22e-131)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y1 <= 3.6e+56)
		tmp = t_2;
	elseif (y1 <= 4.8e+228)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y1 <= 7.5e+263)
		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 = k * (y1 * ((y2 * y4) - (z * i)));
	t_2 = t * (y4 * ((b * j) - (c * y2)));
	tmp = 0.0;
	if (y1 <= -2.25e+27)
		tmp = t_1;
	elseif (y1 <= 1.22e-131)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y1 <= 3.6e+56)
		tmp = t_2;
	elseif (y1 <= 4.8e+228)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y1 <= 7.5e+263)
		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[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -2.25e+27], t$95$1, If[LessEqual[y1, 1.22e-131], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 3.6e+56], t$95$2, If[LessEqual[y1, 4.8e+228], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.5e+263], t$95$2, t$95$1]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < -2.25e27 or 7.5000000000000001e263 < y1

   1. Initial program 22.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.2%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 46.5%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 51.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 51.4%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 51.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 51.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if -2.25e27 < y1 < 1.21999999999999988e-131

   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 25.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 34.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 34.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 34.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   if 1.21999999999999988e-131 < y1 < 3.59999999999999998e56 or 4.79999999999999977e228 < y1 < 7.5000000000000001e263

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 45.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 42.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 42.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 42.1%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 42.1%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 42.1%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 44.0%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 44.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   if 3.59999999999999998e56 < y1 < 4.79999999999999977e228

   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 26.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 32.6%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in z around inf 45.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.25 \cdot 10^{+27}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y1 \leq 1.22 \cdot 10^{-131}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 3.6 \cdot 10^{+56}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 4.8 \cdot 10^{+228}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{+263}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \end{array} \]

Alternative 32: 30.6% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq -4.2 \cdot 10^{+123}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+74}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -1.1 \cdot 10^{-274}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 2.75 \cdot 10^{-130}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.1 \cdot 10^{+36}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= t -4.2e+123)
   (* c (* y4 (- (* y y3) (* t y2))))
   (if (<= t -3.5e+74)
     (* y4 (* j (- (* t b) (* y1 y3))))
     (if (<= t -1.1e-274)
       (* k (* y1 (- (* y2 y4) (* z i))))
       (if (<= t 2.75e-130)
         (* y (* y3 (- (* c y4) (* a y5))))
         (if (<= t 2.1e+36)
           (* k (* y2 (- (* y1 y4) (* y0 y5))))
           (* y4 (* b (- (* t j) (* y 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 tmp;
	if (t <= -4.2e+123) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (t <= -3.5e+74) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if (t <= -1.1e-274) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (t <= 2.75e-130) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (t <= 2.1e+36) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else {
		tmp = y4 * (b * ((t * j) - (y * 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) :: tmp
    if (t <= (-4.2d+123)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (t <= (-3.5d+74)) then
        tmp = y4 * (j * ((t * b) - (y1 * y3)))
    else if (t <= (-1.1d-274)) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (t <= 2.75d-130) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (t <= 2.1d+36) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else
        tmp = y4 * (b * ((t * j) - (y * 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 tmp;
	if (t <= -4.2e+123) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (t <= -3.5e+74) {
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	} else if (t <= -1.1e-274) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (t <= 2.75e-130) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (t <= 2.1e+36) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else {
		tmp = y4 * (b * ((t * j) - (y * k)));
	}
	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 <= -4.2e+123:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif t <= -3.5e+74:
		tmp = y4 * (j * ((t * b) - (y1 * y3)))
	elif t <= -1.1e-274:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif t <= 2.75e-130:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif t <= 2.1e+36:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	else:
		tmp = y4 * (b * ((t * j) - (y * k)))
	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 <= -4.2e+123)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (t <= -3.5e+74)
		tmp = Float64(y4 * Float64(j * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (t <= -1.1e-274)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (t <= 2.75e-130)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (t <= 2.1e+36)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	else
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * 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)
	tmp = 0.0;
	if (t <= -4.2e+123)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (t <= -3.5e+74)
		tmp = y4 * (j * ((t * b) - (y1 * y3)));
	elseif (t <= -1.1e-274)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (t <= 2.75e-130)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (t <= 2.1e+36)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	else
		tmp = y4 * (b * ((t * j) - (y * k)));
	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, -4.2e+123], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.5e+74], N[(y4 * N[(j * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.1e-274], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.75e-130], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.1e+36], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -4.19999999999999988e123

   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 y4 around inf 46.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 46.6%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -4.19999999999999988e123 < t < -3.50000000000000014e74

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 14.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 43.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in j around inf 57.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 57.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right)\right) \]

      2. unsub-neg 57.9%

         \[\leadsto y4 \cdot \left(j \cdot \color{blue}{\left(t \cdot b - y1 \cdot y3\right)}\right) \]

      3. *-commutative 57.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(\color{blue}{b \cdot t} - y1 \cdot y3\right)\right) \]

      4. *-commutative 57.9%

         \[\leadsto y4 \cdot \left(j \cdot \left(b \cdot t - \color{blue}{y3 \cdot y1}\right)\right) \]

   7. Simplified 57.9%

      \[\leadsto \color{blue}{y4 \cdot \left(j \cdot \left(b \cdot t - y3 \cdot y1\right)\right)} \]

   if -3.50000000000000014e74 < t < -1.09999999999999998e-274

   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 42.8%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 47.8%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y1 around inf 36.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 + -1 \cdot \left(i \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 36.4%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot y2 + \color{blue}{\left(-i \cdot z\right)}\right)\right) \]

      2. unsub-neg 36.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2 - i \cdot z\right)}\right) \]

   7. Simplified 36.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y4 \cdot y2 - i \cdot z\right)\right)} \]

   if -1.09999999999999998e-274 < t < 2.75000000000000004e-130

   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 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 33.9%

      \[\leadsto \color{blue}{y \cdot \left(-1 \cdot \left(k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 33.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

   6. Simplified 33.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-k \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(a \cdot b - c \cdot i\right) \cdot x + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in y3 around inf 32.1%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 2.75000000000000004e-130 < t < 2.10000000000000004e36

   1. Initial program 22.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.9%

      \[\leadsto \color{blue}{\mathsf{fma}\left(k \cdot y2 - j \cdot y3, y1 \cdot y4 - y0 \cdot y5, \mathsf{fma}\left(c \cdot y4 - a \cdot y5, y \cdot y3 - t \cdot y2, \mathsf{fma}\left(x \cdot y - z \cdot t, a \cdot b - c \cdot i, \mathsf{fma}\left(b \cdot y0 - i \cdot y1, z \cdot k - x \cdot j, \mathsf{fma}\left(t \cdot j - y \cdot k, b \cdot y4 - i \cdot y5, \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\right)\right)\right)} \]

   4. Taylor expanded in k around inf 33.3%

      \[\leadsto \color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(y4 \cdot b - i \cdot y5\right)\right) + \left(\left(y0 \cdot b - i \cdot y1\right) \cdot z + \left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)\right)} \]

   5. Taylor expanded in y2 around inf 43.4%

      \[\leadsto k \cdot \color{blue}{\left(\left(y4 \cdot y1 - y0 \cdot y5\right) \cdot y2\right)} \]

   if 2.10000000000000004e36 < t

   1. Initial program 22.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 47.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 53.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 42.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -4.2 \cdot 10^{+123}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+74}:\\ \;\;\;\;y4 \cdot \left(j \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -1.1 \cdot 10^{-274}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 2.75 \cdot 10^{-130}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.1 \cdot 10^{+36}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]

Alternative 33: 30.7% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;y3 \leq -4.2 \cdot 10^{+38}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -2.8 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq -2 \cdot 10^{-262}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 3.3 \cdot 10^{+51}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t))))))
   (if (<= y3 -4.2e+38)
     (* c (* y4 (- (* y y3) (* t y2))))
     (if (<= y3 -2.8e-237)
       t_1
       (if (<= y3 -2e-262)
         (* (* k y2) (* y1 y4))
         (if (<= y3 3.3e+51) t_1 (* a (* y5 (- (* t y2) (* y y3))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y3 <= -4.2e+38) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y3 <= -2.8e-237) {
		tmp = t_1;
	} else if (y3 <= -2e-262) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y3 <= 3.3e+51) {
		tmp = t_1;
	} else {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (b * ((x * y) - (z * t)))
    if (y3 <= (-4.2d+38)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (y3 <= (-2.8d-237)) then
        tmp = t_1
    else if (y3 <= (-2d-262)) then
        tmp = (k * y2) * (y1 * y4)
    else if (y3 <= 3.3d+51) then
        tmp = t_1
    else
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y3 <= -4.2e+38) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (y3 <= -2.8e-237) {
		tmp = t_1;
	} else if (y3 <= -2e-262) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y3 <= 3.3e+51) {
		tmp = t_1;
	} else {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if y3 <= -4.2e+38:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif y3 <= -2.8e-237:
		tmp = t_1
	elif y3 <= -2e-262:
		tmp = (k * y2) * (y1 * y4)
	elif y3 <= 3.3e+51:
		tmp = t_1
	else:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (y3 <= -4.2e+38)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (y3 <= -2.8e-237)
		tmp = t_1;
	elseif (y3 <= -2e-262)
		tmp = Float64(Float64(k * y2) * Float64(y1 * y4));
	elseif (y3 <= 3.3e+51)
		tmp = t_1;
	else
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (y3 <= -4.2e+38)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (y3 <= -2.8e-237)
		tmp = t_1;
	elseif (y3 <= -2e-262)
		tmp = (k * y2) * (y1 * y4);
	elseif (y3 <= 3.3e+51)
		tmp = t_1;
	else
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -4.2e+38], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.8e-237], t$95$1, If[LessEqual[y3, -2e-262], N[(N[(k * y2), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.3e+51], t$95$1, N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if y3 < -4.2e38

   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 27.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 38.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in c around inf 40.5%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

   if -4.2e38 < y3 < -2.79999999999999997e-237 or -2.00000000000000002e-262 < y3 < 3.2999999999999997e51

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in b around inf 36.1%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y \cdot x - t \cdot z\right) + y4 \cdot \left(t \cdot j - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right) \cdot b} \]

   5. Taylor expanded in a around inf 33.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right)\right)} \]

   if -2.79999999999999997e-237 < y3 < -2.00000000000000002e-262

   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 55.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 38.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 38.0%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 38.0%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 38.4%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 38.4%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y1 \cdot y2\right)\right) \cdot k} \]

      2. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(\left(y4 \cdot y1\right) \cdot y2\right)} \cdot k \]

      3. associate-*l* 47.1%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   10. Simplified 47.1%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   if 3.2999999999999997e51 < y3

   1. Initial program 18.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 36.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 36.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 41.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 37.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -4.2 \cdot 10^{+38}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -2.8 \cdot 10^{-237}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y3 \leq -2 \cdot 10^{-262}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y3 \leq 3.3 \cdot 10^{+51}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \end{array} \]

Alternative 34: 18.0% accurate, 5.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq 4 \cdot 10^{-197}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 7.2 \cdot 10^{-15}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(y2 \cdot y5\right)\\ \mathbf{elif}\;y1 \leq 2.7 \cdot 10^{+57}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{elif}\;y1 \leq 1.14 \cdot 10^{+145}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(-j \cdot y3\right)\\ \mathbf{elif}\;y1 \leq 8 \cdot 10^{+263}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y1 \cdot \left(j \cdot y3\right)\right) \cdot \left(-y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 4e-197)
   (* a (* y5 (* y3 (- y))))
   (if (<= y1 7.2e-15)
     (* (* t a) (* y2 y5))
     (if (<= y1 2.7e+57)
       (* (* k y4) (* y1 y2))
       (if (<= y1 1.14e+145)
         (* (* y1 y4) (- (* j y3)))
         (if (<= y1 8e+263)
           (* y4 (* b (* t j)))
           (* (* y1 (* j y3)) (- y4))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= 4e-197) {
		tmp = a * (y5 * (y3 * -y));
	} else if (y1 <= 7.2e-15) {
		tmp = (t * a) * (y2 * y5);
	} else if (y1 <= 2.7e+57) {
		tmp = (k * y4) * (y1 * y2);
	} else if (y1 <= 1.14e+145) {
		tmp = (y1 * y4) * -(j * y3);
	} else if (y1 <= 8e+263) {
		tmp = y4 * (b * (t * j));
	} else {
		tmp = (y1 * (j * y3)) * -y4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= 4d-197) then
        tmp = a * (y5 * (y3 * -y))
    else if (y1 <= 7.2d-15) then
        tmp = (t * a) * (y2 * y5)
    else if (y1 <= 2.7d+57) then
        tmp = (k * y4) * (y1 * y2)
    else if (y1 <= 1.14d+145) then
        tmp = (y1 * y4) * -(j * y3)
    else if (y1 <= 8d+263) then
        tmp = y4 * (b * (t * j))
    else
        tmp = (y1 * (j * y3)) * -y4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= 4e-197) {
		tmp = a * (y5 * (y3 * -y));
	} else if (y1 <= 7.2e-15) {
		tmp = (t * a) * (y2 * y5);
	} else if (y1 <= 2.7e+57) {
		tmp = (k * y4) * (y1 * y2);
	} else if (y1 <= 1.14e+145) {
		tmp = (y1 * y4) * -(j * y3);
	} else if (y1 <= 8e+263) {
		tmp = y4 * (b * (t * j));
	} else {
		tmp = (y1 * (j * y3)) * -y4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= 4e-197:
		tmp = a * (y5 * (y3 * -y))
	elif y1 <= 7.2e-15:
		tmp = (t * a) * (y2 * y5)
	elif y1 <= 2.7e+57:
		tmp = (k * y4) * (y1 * y2)
	elif y1 <= 1.14e+145:
		tmp = (y1 * y4) * -(j * y3)
	elif y1 <= 8e+263:
		tmp = y4 * (b * (t * j))
	else:
		tmp = (y1 * (j * y3)) * -y4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= 4e-197)
		tmp = Float64(a * Float64(y5 * Float64(y3 * Float64(-y))));
	elseif (y1 <= 7.2e-15)
		tmp = Float64(Float64(t * a) * Float64(y2 * y5));
	elseif (y1 <= 2.7e+57)
		tmp = Float64(Float64(k * y4) * Float64(y1 * y2));
	elseif (y1 <= 1.14e+145)
		tmp = Float64(Float64(y1 * y4) * Float64(-Float64(j * y3)));
	elseif (y1 <= 8e+263)
		tmp = Float64(y4 * Float64(b * Float64(t * j)));
	else
		tmp = Float64(Float64(y1 * Float64(j * y3)) * Float64(-y4));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= 4e-197)
		tmp = a * (y5 * (y3 * -y));
	elseif (y1 <= 7.2e-15)
		tmp = (t * a) * (y2 * y5);
	elseif (y1 <= 2.7e+57)
		tmp = (k * y4) * (y1 * y2);
	elseif (y1 <= 1.14e+145)
		tmp = (y1 * y4) * -(j * y3);
	elseif (y1 <= 8e+263)
		tmp = y4 * (b * (t * j));
	else
		tmp = (y1 * (j * y3)) * -y4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, 4e-197], N[(a * N[(y5 * N[(y3 * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.2e-15], N[(N[(t * a), $MachinePrecision] * N[(y2 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.7e+57], N[(N[(k * y4), $MachinePrecision] * N[(y1 * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.14e+145], N[(N[(y1 * y4), $MachinePrecision] * (-N[(j * y3), $MachinePrecision])), $MachinePrecision], If[LessEqual[y1, 8e+263], N[(y4 * N[(b * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y1 * N[(j * y3), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y1 < 3.9999999999999999e-197

   1. Initial program 23.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 35.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 35.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around 0 28.4%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 28.4%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)} \]

      2. neg-mul-1 28.4%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(y \cdot \left(y3 \cdot y5\right)\right) \]

      3. associate-*r* 28.5%

         \[\leadsto \left(-a\right) \cdot \color{blue}{\left(\left(y \cdot y3\right) \cdot y5\right)} \]

      4. *-commutative 28.5%

         \[\leadsto \left(-a\right) \cdot \left(\color{blue}{\left(y3 \cdot y\right)} \cdot y5\right) \]

   10. Simplified 28.5%

       \[\leadsto \color{blue}{\left(-a\right) \cdot \left(\left(y3 \cdot y\right) \cdot y5\right)} \]

   if 3.9999999999999999e-197 < y1 < 7.2000000000000002e-15

   1. Initial program 39.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 42.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 32.1%

         \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

   10. Simplified 32.1%

       \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

   if 7.2000000000000002e-15 < y1 < 2.6999999999999998e57

   1. Initial program 57.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 57.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 51.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 59.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.9%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 58.9%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 44.9%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 57.7%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   10. Simplified 57.7%

       \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   if 2.6999999999999998e57 < y1 < 1.14000000000000001e145

   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 y4 around inf 46.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 32.8%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 40.0%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 40.0%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around 0 39.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 39.5%

         \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]

      2. associate-*r* 46.8%

         \[\leadsto -\color{blue}{\left(y4 \cdot y1\right) \cdot \left(y3 \cdot j\right)} \]

      3. distribute-rgt-neg-in 46.8%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(-y3 \cdot j\right)} \]

      4. distribute-rgt-neg-in 46.8%

         \[\leadsto \left(y4 \cdot y1\right) \cdot \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \]

   10. Simplified 46.8%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y3 \cdot \left(-j\right)\right)} \]

   if 1.14000000000000001e145 < y1 < 8.00000000000000013e263

   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 15.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 31.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 27.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 27.4%

         \[\leadsto y4 \cdot \left(t \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

      2. associate-*r* 30.8%

         \[\leadsto y4 \cdot \color{blue}{\left(\left(t \cdot j\right) \cdot b\right)} \]

   8. Simplified 30.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j\right) \cdot b\right)} \]

   if 8.00000000000000013e263 < y1

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 26.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 43.2%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around 0 42.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 42.4%

         \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]

   10. Simplified 42.4%

       \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 32.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq 4 \cdot 10^{-197}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 7.2 \cdot 10^{-15}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(y2 \cdot y5\right)\\ \mathbf{elif}\;y1 \leq 2.7 \cdot 10^{+57}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{elif}\;y1 \leq 1.14 \cdot 10^{+145}:\\ \;\;\;\;\left(y1 \cdot y4\right) \cdot \left(-j \cdot y3\right)\\ \mathbf{elif}\;y1 \leq 8 \cdot 10^{+263}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y1 \cdot \left(j \cdot y3\right)\right) \cdot \left(-y4\right)\\ \end{array} \]

Alternative 35: 20.1% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ t_2 := k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{if}\;a \leq -1.62 \cdot 10^{-77}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-167}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 3.7 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+112}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+212}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* a (* y2 y5)))) (t_2 (* k (* y4 (* y1 y2)))))
   (if (<= a -1.62e-77)
     t_1
     (if (<= a 1.1e-167)
       (* t (* y4 (* b j)))
       (if (<= a 3.7e-38)
         t_2
         (if (<= a 2.6e+112)
           (* y0 (* j (* y3 y5)))
           (if (<= a 3e+212) 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 = t * (a * (y2 * y5));
	double t_2 = k * (y4 * (y1 * y2));
	double tmp;
	if (a <= -1.62e-77) {
		tmp = t_1;
	} else if (a <= 1.1e-167) {
		tmp = t * (y4 * (b * j));
	} else if (a <= 3.7e-38) {
		tmp = t_2;
	} else if (a <= 2.6e+112) {
		tmp = y0 * (j * (y3 * y5));
	} else if (a <= 3e+212) {
		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 = t * (a * (y2 * y5))
    t_2 = k * (y4 * (y1 * y2))
    if (a <= (-1.62d-77)) then
        tmp = t_1
    else if (a <= 1.1d-167) then
        tmp = t * (y4 * (b * j))
    else if (a <= 3.7d-38) then
        tmp = t_2
    else if (a <= 2.6d+112) then
        tmp = y0 * (j * (y3 * y5))
    else if (a <= 3d+212) 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 = t * (a * (y2 * y5));
	double t_2 = k * (y4 * (y1 * y2));
	double tmp;
	if (a <= -1.62e-77) {
		tmp = t_1;
	} else if (a <= 1.1e-167) {
		tmp = t * (y4 * (b * j));
	} else if (a <= 3.7e-38) {
		tmp = t_2;
	} else if (a <= 2.6e+112) {
		tmp = y0 * (j * (y3 * y5));
	} else if (a <= 3e+212) {
		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 = t * (a * (y2 * y5))
	t_2 = k * (y4 * (y1 * y2))
	tmp = 0
	if a <= -1.62e-77:
		tmp = t_1
	elif a <= 1.1e-167:
		tmp = t * (y4 * (b * j))
	elif a <= 3.7e-38:
		tmp = t_2
	elif a <= 2.6e+112:
		tmp = y0 * (j * (y3 * y5))
	elif a <= 3e+212:
		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(t * Float64(a * Float64(y2 * y5)))
	t_2 = Float64(k * Float64(y4 * Float64(y1 * y2)))
	tmp = 0.0
	if (a <= -1.62e-77)
		tmp = t_1;
	elseif (a <= 1.1e-167)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	elseif (a <= 3.7e-38)
		tmp = t_2;
	elseif (a <= 2.6e+112)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (a <= 3e+212)
		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 = t * (a * (y2 * y5));
	t_2 = k * (y4 * (y1 * y2));
	tmp = 0.0;
	if (a <= -1.62e-77)
		tmp = t_1;
	elseif (a <= 1.1e-167)
		tmp = t * (y4 * (b * j));
	elseif (a <= 3.7e-38)
		tmp = t_2;
	elseif (a <= 2.6e+112)
		tmp = y0 * (j * (y3 * y5));
	elseif (a <= 3e+212)
		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[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.62e-77], t$95$1, If[LessEqual[a, 1.1e-167], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.7e-38], t$95$2, If[LessEqual[a, 2.6e+112], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3e+212], t$95$2, t$95$1]]]]]]]

Derivation

1. Split input into 4 regimes

2. if a < -1.62000000000000006e-77 or 3e212 < a

   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 y5 around inf 32.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 32.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 32.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 39.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 24.0%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 24.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 26.5%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 26.5%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 26.5%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 28.4%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 28.4%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 28.4%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]

   if -1.62000000000000006e-77 < a < 1.1e-167

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 37.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 37.4%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 37.4%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 37.4%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 35.8%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 35.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   9. Taylor expanded in j around inf 27.1%

      \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right)} \cdot y4\right) \]
   10. Step-by-step derivation

       1. *-commutative 27.1%

          \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot b\right)} \cdot y4\right) \]

   11. Simplified 27.1%

       \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot b\right)} \cdot y4\right) \]

   if 1.1e-167 < a < 3.7e-38 or 2.6000000000000001e112 < a < 3e212

   1. Initial program 26.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 26.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 39.2%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 37.7%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]

   if 3.7e-38 < a < 2.6000000000000001e112

   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 y5 around inf 46.7%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 46.7%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 34.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 34.6%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 34.6%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 34.6%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around 0 31.2%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 31.2%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j\right) \cdot y5\right)} \]

       2. *-commutative 31.2%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(j \cdot y3\right)} \cdot y5\right) \]

       3. associate-*l* 31.2%

          \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   12. Simplified 31.2%

       \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 30.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.62 \cdot 10^{-77}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-167}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 3.7 \cdot 10^{-38}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+112}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+212}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 36: 22.1% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -2.1 \cdot 10^{-40}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 5.9 \cdot 10^{-208}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-129}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{+31}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -2.1e-40)
   (* y0 (* j (* y3 y5)))
   (if (<= y5 5.9e-208)
     (* (* k y2) (* y1 y4))
     (if (<= y5 2.6e-129)
       (* t (* j (* b y4)))
       (if (<= y5 2.3e+31) (* (* k y4) (* y1 y2)) (* t (* a (* y2 y5))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -2.1e-40) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= 5.9e-208) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 2.6e-129) {
		tmp = t * (j * (b * y4));
	} else if (y5 <= 2.3e+31) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-2.1d-40)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y5 <= 5.9d-208) then
        tmp = (k * y2) * (y1 * y4)
    else if (y5 <= 2.6d-129) then
        tmp = t * (j * (b * y4))
    else if (y5 <= 2.3d+31) then
        tmp = (k * y4) * (y1 * y2)
    else
        tmp = t * (a * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -2.1e-40) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= 5.9e-208) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 2.6e-129) {
		tmp = t * (j * (b * y4));
	} else if (y5 <= 2.3e+31) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -2.1e-40:
		tmp = y0 * (j * (y3 * y5))
	elif y5 <= 5.9e-208:
		tmp = (k * y2) * (y1 * y4)
	elif y5 <= 2.6e-129:
		tmp = t * (j * (b * y4))
	elif y5 <= 2.3e+31:
		tmp = (k * y4) * (y1 * y2)
	else:
		tmp = t * (a * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -2.1e-40)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y5 <= 5.9e-208)
		tmp = Float64(Float64(k * y2) * Float64(y1 * y4));
	elseif (y5 <= 2.6e-129)
		tmp = Float64(t * Float64(j * Float64(b * y4)));
	elseif (y5 <= 2.3e+31)
		tmp = Float64(Float64(k * y4) * Float64(y1 * y2));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -2.1e-40)
		tmp = y0 * (j * (y3 * y5));
	elseif (y5 <= 5.9e-208)
		tmp = (k * y2) * (y1 * y4);
	elseif (y5 <= 2.6e-129)
		tmp = t * (j * (b * y4));
	elseif (y5 <= 2.3e+31)
		tmp = (k * y4) * (y1 * y2);
	else
		tmp = t * (a * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -2.1e-40], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.9e-208], N[(N[(k * y2), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.6e-129], N[(t * N[(j * N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.3e+31], N[(N[(k * y4), $MachinePrecision] * N[(y1 * y2), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -2.10000000000000018e-40

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 41.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 29.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 29.6%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 29.6%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around 0 25.3%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 22.7%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j\right) \cdot y5\right)} \]

       2. *-commutative 22.7%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(j \cdot y3\right)} \cdot y5\right) \]

       3. associate-*l* 25.3%

          \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   12. Simplified 25.3%

       \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if -2.10000000000000018e-40 < y5 < 5.90000000000000023e-208

   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 27.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 45.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 34.1%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 35.5%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 35.5%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 23.1%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 23.1%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y1 \cdot y2\right)\right) \cdot k} \]

      2. associate-*r* 24.4%

         \[\leadsto \color{blue}{\left(\left(y4 \cdot y1\right) \cdot y2\right)} \cdot k \]

      3. associate-*l* 27.0%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   10. Simplified 27.0%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   if 5.90000000000000023e-208 < y5 < 2.6000000000000001e-129

   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 29.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 51.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 31.6%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 31.6%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 31.6%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 31.6%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 31.6%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 35.8%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 35.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   9. Taylor expanded in j around inf 36.0%

      \[\leadsto t \cdot \color{blue}{\left(y4 \cdot \left(j \cdot b\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 31.9%

          \[\leadsto t \cdot \color{blue}{\left(\left(y4 \cdot j\right) \cdot b\right)} \]

       2. *-commutative 31.9%

          \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot y4\right)} \cdot b\right) \]

       3. associate-*l* 36.5%

          \[\leadsto t \cdot \color{blue}{\left(j \cdot \left(y4 \cdot b\right)\right)} \]

   11. Simplified 36.5%

       \[\leadsto t \cdot \color{blue}{\left(j \cdot \left(y4 \cdot b\right)\right)} \]

   if 2.6000000000000001e-129 < y5 < 2.3e31

   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 36.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 39.2%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 41.5%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 41.5%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 23.1%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 28.1%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   10. Simplified 28.1%

       \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   if 2.3e31 < y5

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 27.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 27.2%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 27.2%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 45.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 33.9%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 37.2%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.9%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 33.9%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 33.9%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 35.6%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 35.6%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 35.6%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 29.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.1 \cdot 10^{-40}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 5.9 \cdot 10^{-208}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-129}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{+31}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 37: 22.1% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -1.55 \cdot 10^{-38}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 2.7 \cdot 10^{-165}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 1.42 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(t \cdot \left(b \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{+31}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -1.55e-38)
   (* y0 (* j (* y3 y5)))
   (if (<= y5 2.7e-165)
     (* (* k y2) (* y1 y4))
     (if (<= y5 1.42e-70)
       (* a (* t (* b (- z))))
       (if (<= y5 2.3e+31) (* (* k y4) (* y1 y2)) (* t (* a (* y2 y5))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -1.55e-38) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= 2.7e-165) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 1.42e-70) {
		tmp = a * (t * (b * -z));
	} else if (y5 <= 2.3e+31) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-1.55d-38)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y5 <= 2.7d-165) then
        tmp = (k * y2) * (y1 * y4)
    else if (y5 <= 1.42d-70) then
        tmp = a * (t * (b * -z))
    else if (y5 <= 2.3d+31) then
        tmp = (k * y4) * (y1 * y2)
    else
        tmp = t * (a * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -1.55e-38) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= 2.7e-165) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 1.42e-70) {
		tmp = a * (t * (b * -z));
	} else if (y5 <= 2.3e+31) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -1.55e-38:
		tmp = y0 * (j * (y3 * y5))
	elif y5 <= 2.7e-165:
		tmp = (k * y2) * (y1 * y4)
	elif y5 <= 1.42e-70:
		tmp = a * (t * (b * -z))
	elif y5 <= 2.3e+31:
		tmp = (k * y4) * (y1 * y2)
	else:
		tmp = t * (a * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -1.55e-38)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y5 <= 2.7e-165)
		tmp = Float64(Float64(k * y2) * Float64(y1 * y4));
	elseif (y5 <= 1.42e-70)
		tmp = Float64(a * Float64(t * Float64(b * Float64(-z))));
	elseif (y5 <= 2.3e+31)
		tmp = Float64(Float64(k * y4) * Float64(y1 * y2));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -1.55e-38)
		tmp = y0 * (j * (y3 * y5));
	elseif (y5 <= 2.7e-165)
		tmp = (k * y2) * (y1 * y4);
	elseif (y5 <= 1.42e-70)
		tmp = a * (t * (b * -z));
	elseif (y5 <= 2.3e+31)
		tmp = (k * y4) * (y1 * y2);
	else
		tmp = t * (a * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -1.55e-38], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.7e-165], N[(N[(k * y2), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.42e-70], N[(a * N[(t * N[(b * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.3e+31], N[(N[(k * y4), $MachinePrecision] * N[(y1 * y2), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -1.54999999999999991e-38

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 41.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 29.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 29.6%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 29.6%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around 0 25.3%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 22.7%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j\right) \cdot y5\right)} \]

       2. *-commutative 22.7%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(j \cdot y3\right)} \cdot y5\right) \]

       3. associate-*l* 25.3%

          \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   12. Simplified 25.3%

       \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if -1.54999999999999991e-38 < y5 < 2.6999999999999998e-165

   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 27.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 46.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 33.4%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 34.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 34.6%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 22.5%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 22.5%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y1 \cdot y2\right)\right) \cdot k} \]

      2. associate-*r* 23.7%

         \[\leadsto \color{blue}{\left(\left(y4 \cdot y1\right) \cdot y2\right)} \cdot k \]

      3. associate-*l* 25.9%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   10. Simplified 25.9%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   if 2.6999999999999998e-165 < y5 < 1.42000000000000002e-70

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 45.4%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 45.4%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 45.4%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 45.4%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in b around inf 58.3%

      \[\leadsto -\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z \]

   8. Taylor expanded in a around inf 52.0%

      \[\leadsto -\color{blue}{a \cdot \left(t \cdot \left(b \cdot z\right)\right)} \]

   if 1.42000000000000002e-70 < y5 < 2.3e31

   1. Initial program 27.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 41.3%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 44.1%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 44.1%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 24.9%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 31.1%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   10. Simplified 31.1%

       \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   if 2.3e31 < y5

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 27.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 27.2%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 27.2%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 45.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 33.9%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 37.2%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.9%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 33.9%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 33.9%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 35.6%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 35.6%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 35.6%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 30.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.55 \cdot 10^{-38}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 2.7 \cdot 10^{-165}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 1.42 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(t \cdot \left(b \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{+31}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 38: 22.0% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -7.8 \cdot 10^{-40}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.8 \cdot 10^{-300}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{-70}:\\ \;\;\;\;z \cdot \left(a \cdot \left(t \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{+31}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -7.8e-40)
   (* y0 (* j (* y3 y5)))
   (if (<= y5 -1.8e-300)
     (* (* k y2) (* y1 y4))
     (if (<= y5 1.8e-70)
       (* z (* a (* t (- b))))
       (if (<= y5 2.6e+31) (* (* k y4) (* y1 y2)) (* t (* a (* y2 y5))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -7.8e-40) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= -1.8e-300) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 1.8e-70) {
		tmp = z * (a * (t * -b));
	} else if (y5 <= 2.6e+31) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-7.8d-40)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y5 <= (-1.8d-300)) then
        tmp = (k * y2) * (y1 * y4)
    else if (y5 <= 1.8d-70) then
        tmp = z * (a * (t * -b))
    else if (y5 <= 2.6d+31) then
        tmp = (k * y4) * (y1 * y2)
    else
        tmp = t * (a * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -7.8e-40) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= -1.8e-300) {
		tmp = (k * y2) * (y1 * y4);
	} else if (y5 <= 1.8e-70) {
		tmp = z * (a * (t * -b));
	} else if (y5 <= 2.6e+31) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -7.8e-40:
		tmp = y0 * (j * (y3 * y5))
	elif y5 <= -1.8e-300:
		tmp = (k * y2) * (y1 * y4)
	elif y5 <= 1.8e-70:
		tmp = z * (a * (t * -b))
	elif y5 <= 2.6e+31:
		tmp = (k * y4) * (y1 * y2)
	else:
		tmp = t * (a * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -7.8e-40)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y5 <= -1.8e-300)
		tmp = Float64(Float64(k * y2) * Float64(y1 * y4));
	elseif (y5 <= 1.8e-70)
		tmp = Float64(z * Float64(a * Float64(t * Float64(-b))));
	elseif (y5 <= 2.6e+31)
		tmp = Float64(Float64(k * y4) * Float64(y1 * y2));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -7.8e-40)
		tmp = y0 * (j * (y3 * y5));
	elseif (y5 <= -1.8e-300)
		tmp = (k * y2) * (y1 * y4);
	elseif (y5 <= 1.8e-70)
		tmp = z * (a * (t * -b));
	elseif (y5 <= 2.6e+31)
		tmp = (k * y4) * (y1 * y2);
	else
		tmp = t * (a * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -7.8e-40], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.8e-300], N[(N[(k * y2), $MachinePrecision] * N[(y1 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.8e-70], N[(z * N[(a * N[(t * (-b)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.6e+31], N[(N[(k * y4), $MachinePrecision] * N[(y1 * y2), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -7.79999999999999961e-40

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 41.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 29.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 29.6%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

   9. Simplified 29.6%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   10. Taylor expanded in k around 0 25.3%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 22.7%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot j\right) \cdot y5\right)} \]

       2. *-commutative 22.7%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(j \cdot y3\right)} \cdot y5\right) \]

       3. associate-*l* 25.3%

          \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   12. Simplified 25.3%

       \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if -7.79999999999999961e-40 < y5 < -1.80000000000000008e-300

   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 27.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 36.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.7%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 37.7%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 25.4%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 25.4%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y1 \cdot y2\right)\right) \cdot k} \]

      2. associate-*r* 25.3%

         \[\leadsto \color{blue}{\left(\left(y4 \cdot y1\right) \cdot y2\right)} \cdot k \]

      3. associate-*l* 28.6%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   10. Simplified 28.6%

       \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(y2 \cdot k\right)} \]

   if -1.80000000000000008e-300 < y5 < 1.8000000000000001e-70

   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 31.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 48.4%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 48.4%

         \[\leadsto \color{blue}{-\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z} \]

      2. associate--l+ 48.4%

         \[\leadsto -\color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right)} \cdot z \]

   6. Simplified 48.4%

      \[\leadsto \color{blue}{-\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + \left(t \cdot \left(a \cdot b - c \cdot i\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right)\right) \cdot z} \]

   7. Taylor expanded in b around inf 34.5%

      \[\leadsto -\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z \]

   8. Taylor expanded in a around inf 32.8%

      \[\leadsto -\color{blue}{\left(a \cdot \left(t \cdot b\right)\right)} \cdot z \]

   if 1.8000000000000001e-70 < y5 < 2.6e31

   1. Initial program 27.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 41.3%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 44.1%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 44.1%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 24.9%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 31.1%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   10. Simplified 31.1%

       \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   if 2.6e31 < y5

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 27.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 27.2%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 27.2%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 45.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 33.9%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 37.2%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.9%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 33.9%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 33.9%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 35.6%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 35.6%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 35.6%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 30.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -7.8 \cdot 10^{-40}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.8 \cdot 10^{-300}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{-70}:\\ \;\;\;\;z \cdot \left(a \cdot \left(t \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{+31}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 39: 19.6% accurate, 6.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq 3.2 \cdot 10^{-200}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{-8}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(y2 \cdot y5\right)\\ \mathbf{elif}\;y1 \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y1 \cdot \left(j \cdot y3\right)\right) \cdot \left(-y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 3.2e-200)
   (* a (* y5 (* y3 (- y))))
   (if (<= y1 7.5e-8)
     (* (* t a) (* y2 y5))
     (if (<= y1 1.2e+57) (* (* k y4) (* y1 y2)) (* (* y1 (* j y3)) (- y4))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= 3.2e-200) {
		tmp = a * (y5 * (y3 * -y));
	} else if (y1 <= 7.5e-8) {
		tmp = (t * a) * (y2 * y5);
	} else if (y1 <= 1.2e+57) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = (y1 * (j * y3)) * -y4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= 3.2d-200) then
        tmp = a * (y5 * (y3 * -y))
    else if (y1 <= 7.5d-8) then
        tmp = (t * a) * (y2 * y5)
    else if (y1 <= 1.2d+57) then
        tmp = (k * y4) * (y1 * y2)
    else
        tmp = (y1 * (j * y3)) * -y4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= 3.2e-200) {
		tmp = a * (y5 * (y3 * -y));
	} else if (y1 <= 7.5e-8) {
		tmp = (t * a) * (y2 * y5);
	} else if (y1 <= 1.2e+57) {
		tmp = (k * y4) * (y1 * y2);
	} else {
		tmp = (y1 * (j * y3)) * -y4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= 3.2e-200:
		tmp = a * (y5 * (y3 * -y))
	elif y1 <= 7.5e-8:
		tmp = (t * a) * (y2 * y5)
	elif y1 <= 1.2e+57:
		tmp = (k * y4) * (y1 * y2)
	else:
		tmp = (y1 * (j * y3)) * -y4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= 3.2e-200)
		tmp = Float64(a * Float64(y5 * Float64(y3 * Float64(-y))));
	elseif (y1 <= 7.5e-8)
		tmp = Float64(Float64(t * a) * Float64(y2 * y5));
	elseif (y1 <= 1.2e+57)
		tmp = Float64(Float64(k * y4) * Float64(y1 * y2));
	else
		tmp = Float64(Float64(y1 * Float64(j * y3)) * Float64(-y4));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= 3.2e-200)
		tmp = a * (y5 * (y3 * -y));
	elseif (y1 <= 7.5e-8)
		tmp = (t * a) * (y2 * y5);
	elseif (y1 <= 1.2e+57)
		tmp = (k * y4) * (y1 * y2);
	else
		tmp = (y1 * (j * y3)) * -y4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, 3.2e-200], N[(a * N[(y5 * N[(y3 * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.5e-8], N[(N[(t * a), $MachinePrecision] * N[(y2 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.2e+57], N[(N[(k * y4), $MachinePrecision] * N[(y1 * y2), $MachinePrecision]), $MachinePrecision], N[(N[(y1 * N[(j * y3), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < 3.19999999999999983e-200

   1. Initial program 23.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 35.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 35.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 35.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around 0 28.4%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 28.4%

         \[\leadsto \color{blue}{\left(-1 \cdot a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)} \]

      2. neg-mul-1 28.4%

         \[\leadsto \color{blue}{\left(-a\right)} \cdot \left(y \cdot \left(y3 \cdot y5\right)\right) \]

      3. associate-*r* 28.5%

         \[\leadsto \left(-a\right) \cdot \color{blue}{\left(\left(y \cdot y3\right) \cdot y5\right)} \]

      4. *-commutative 28.5%

         \[\leadsto \left(-a\right) \cdot \left(\color{blue}{\left(y3 \cdot y\right)} \cdot y5\right) \]

   10. Simplified 28.5%

       \[\leadsto \color{blue}{\left(-a\right) \cdot \left(\left(y3 \cdot y\right) \cdot y5\right)} \]

   if 3.19999999999999983e-200 < y1 < 7.4999999999999997e-8

   1. Initial program 39.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 42.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 32.1%

         \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

   10. Simplified 32.1%

       \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

   if 7.4999999999999997e-8 < y1 < 1.20000000000000002e57

   1. Initial program 57.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 57.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 51.6%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 59.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.9%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 58.9%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 44.9%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 57.7%

         \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   10. Simplified 57.7%

       \[\leadsto \color{blue}{\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)} \]

   if 1.20000000000000002e57 < y1

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 35.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 33.7%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 31.8%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 31.8%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around 0 27.9%

      \[\leadsto \color{blue}{-1 \cdot \left(y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 27.9%

         \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]

   10. Simplified 27.9%

       \[\leadsto \color{blue}{-y4 \cdot \left(y1 \cdot \left(y3 \cdot j\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 30.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq 3.2 \cdot 10^{-200}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y3 \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{-8}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(y2 \cdot y5\right)\\ \mathbf{elif}\;y1 \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\left(k \cdot y4\right) \cdot \left(y1 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y1 \cdot \left(j \cdot y3\right)\right) \cdot \left(-y4\right)\\ \end{array} \]

Alternative 40: 19.4% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -1.75 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-168}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{+212}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* a (* y2 y5)))))
   (if (<= a -1.75e-190)
     t_1
     (if (<= a 1.8e-168)
       (* t (* j (* b y4)))
       (if (<= a 2e+212) (* k (* y4 (* y1 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 = t * (a * (y2 * y5));
	double tmp;
	if (a <= -1.75e-190) {
		tmp = t_1;
	} else if (a <= 1.8e-168) {
		tmp = t * (j * (b * y4));
	} else if (a <= 2e+212) {
		tmp = k * (y4 * (y1 * 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 = t * (a * (y2 * y5))
    if (a <= (-1.75d-190)) then
        tmp = t_1
    else if (a <= 1.8d-168) then
        tmp = t * (j * (b * y4))
    else if (a <= 2d+212) then
        tmp = k * (y4 * (y1 * 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 = t * (a * (y2 * y5));
	double tmp;
	if (a <= -1.75e-190) {
		tmp = t_1;
	} else if (a <= 1.8e-168) {
		tmp = t * (j * (b * y4));
	} else if (a <= 2e+212) {
		tmp = k * (y4 * (y1 * 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 = t * (a * (y2 * y5))
	tmp = 0
	if a <= -1.75e-190:
		tmp = t_1
	elif a <= 1.8e-168:
		tmp = t * (j * (b * y4))
	elif a <= 2e+212:
		tmp = k * (y4 * (y1 * 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(t * Float64(a * Float64(y2 * y5)))
	tmp = 0.0
	if (a <= -1.75e-190)
		tmp = t_1;
	elseif (a <= 1.8e-168)
		tmp = Float64(t * Float64(j * Float64(b * y4)));
	elseif (a <= 2e+212)
		tmp = Float64(k * Float64(y4 * Float64(y1 * 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 = t * (a * (y2 * y5));
	tmp = 0.0;
	if (a <= -1.75e-190)
		tmp = t_1;
	elseif (a <= 1.8e-168)
		tmp = t * (j * (b * y4));
	elseif (a <= 2e+212)
		tmp = k * (y4 * (y1 * 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[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.75e-190], t$95$1, If[LessEqual[a, 1.8e-168], N[(t * N[(j * N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2e+212], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if a < -1.75e-190 or 1.9999999999999998e212 < a

   1. Initial program 22.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 31.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 31.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 31.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 35.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 21.5%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 22.2%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 23.6%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 23.6%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 23.6%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 25.1%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 25.1%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 25.1%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]

   if -1.75e-190 < a < 1.7999999999999999e-168

   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 y4 around inf 42.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 40.6%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 40.6%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 40.6%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 40.6%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 40.6%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 40.3%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 40.3%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   9. Taylor expanded in j around inf 36.0%

      \[\leadsto t \cdot \color{blue}{\left(y4 \cdot \left(j \cdot b\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.7%

          \[\leadsto t \cdot \color{blue}{\left(\left(y4 \cdot j\right) \cdot b\right)} \]

       2. *-commutative 33.7%

          \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot y4\right)} \cdot b\right) \]

       3. associate-*l* 33.7%

          \[\leadsto t \cdot \color{blue}{\left(j \cdot \left(y4 \cdot b\right)\right)} \]

   11. Simplified 33.7%

       \[\leadsto t \cdot \color{blue}{\left(j \cdot \left(y4 \cdot b\right)\right)} \]

   if 1.7999999999999999e-168 < a < 1.9999999999999998e212

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 28.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 30.2%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 27.0%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 27.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.75 \cdot 10^{-190}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-168}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{+212}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 41: 20.1% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -2.05 \cdot 10^{-88}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-165}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{+212}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* a (* y2 y5)))))
   (if (<= a -2.05e-88)
     t_1
     (if (<= a 2.7e-165)
       (* t (* y4 (* b j)))
       (if (<= a 1.9e+212) (* k (* y4 (* y1 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 = t * (a * (y2 * y5));
	double tmp;
	if (a <= -2.05e-88) {
		tmp = t_1;
	} else if (a <= 2.7e-165) {
		tmp = t * (y4 * (b * j));
	} else if (a <= 1.9e+212) {
		tmp = k * (y4 * (y1 * 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 = t * (a * (y2 * y5))
    if (a <= (-2.05d-88)) then
        tmp = t_1
    else if (a <= 2.7d-165) then
        tmp = t * (y4 * (b * j))
    else if (a <= 1.9d+212) then
        tmp = k * (y4 * (y1 * 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 = t * (a * (y2 * y5));
	double tmp;
	if (a <= -2.05e-88) {
		tmp = t_1;
	} else if (a <= 2.7e-165) {
		tmp = t * (y4 * (b * j));
	} else if (a <= 1.9e+212) {
		tmp = k * (y4 * (y1 * 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 = t * (a * (y2 * y5))
	tmp = 0
	if a <= -2.05e-88:
		tmp = t_1
	elif a <= 2.7e-165:
		tmp = t * (y4 * (b * j))
	elif a <= 1.9e+212:
		tmp = k * (y4 * (y1 * 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(t * Float64(a * Float64(y2 * y5)))
	tmp = 0.0
	if (a <= -2.05e-88)
		tmp = t_1;
	elseif (a <= 2.7e-165)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	elseif (a <= 1.9e+212)
		tmp = Float64(k * Float64(y4 * Float64(y1 * 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 = t * (a * (y2 * y5));
	tmp = 0.0;
	if (a <= -2.05e-88)
		tmp = t_1;
	elseif (a <= 2.7e-165)
		tmp = t * (y4 * (b * j));
	elseif (a <= 1.9e+212)
		tmp = k * (y4 * (y1 * 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[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.05e-88], t$95$1, If[LessEqual[a, 2.7e-165], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.9e+212], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if a < -2.0500000000000001e-88 or 1.89999999999999994e212 < a

   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 y5 around inf 32.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 32.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 32.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 39.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 24.0%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 24.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 26.5%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 26.5%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 26.5%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 28.4%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 28.4%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 28.4%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]

   if -2.0500000000000001e-88 < a < 2.6999999999999998e-165

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in y4 around -inf 37.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 37.4%

         \[\leadsto \color{blue}{\left(t \cdot \left(b \cdot j - c \cdot y2\right)\right) \cdot y4} \]

      2. *-commutative 37.4%

         \[\leadsto \left(t \cdot \left(\color{blue}{j \cdot b} - c \cdot y2\right)\right) \cdot y4 \]

      3. *-commutative 37.4%

         \[\leadsto \left(t \cdot \left(j \cdot b - \color{blue}{y2 \cdot c}\right)\right) \cdot y4 \]

      4. associate-*l* 35.8%

         \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   8. Simplified 35.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(j \cdot b - y2 \cdot c\right) \cdot y4\right)} \]

   9. Taylor expanded in j around inf 27.1%

      \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right)} \cdot y4\right) \]
   10. Step-by-step derivation

       1. *-commutative 27.1%

          \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot b\right)} \cdot y4\right) \]

   11. Simplified 27.1%

       \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot b\right)} \cdot y4\right) \]

   if 2.6999999999999998e-165 < a < 1.89999999999999994e212

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 28.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 30.2%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 27.0%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 27.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.05 \cdot 10^{-88}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-165}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{+212}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]

Alternative 42: 20.8% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y4 \leq -6 \cdot 10^{+40} \lor \neg \left(y4 \leq 3.7 \cdot 10^{+110}\right):\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y4 -6e+40) (not (<= y4 3.7e+110)))
   (* k (* y4 (* y1 y2)))
   (* a (* y5 (* 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 ((y4 <= -6e+40) || !(y4 <= 3.7e+110)) {
		tmp = k * (y4 * (y1 * y2));
	} else {
		tmp = a * (y5 * (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 ((y4 <= (-6d+40)) .or. (.not. (y4 <= 3.7d+110))) then
        tmp = k * (y4 * (y1 * y2))
    else
        tmp = a * (y5 * (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 ((y4 <= -6e+40) || !(y4 <= 3.7e+110)) {
		tmp = k * (y4 * (y1 * y2));
	} else {
		tmp = a * (y5 * (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 (y4 <= -6e+40) or not (y4 <= 3.7e+110):
		tmp = k * (y4 * (y1 * y2))
	else:
		tmp = a * (y5 * (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 ((y4 <= -6e+40) || !(y4 <= 3.7e+110))
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	else
		tmp = Float64(a * Float64(y5 * 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 ((y4 <= -6e+40) || ~((y4 <= 3.7e+110)))
		tmp = k * (y4 * (y1 * y2));
	else
		tmp = a * (y5 * (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[Or[LessEqual[y4, -6e+40], N[Not[LessEqual[y4, 3.7e+110]], $MachinePrecision]], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y4 < -6.0000000000000004e40 or 3.70000000000000012e110 < y4

   1. Initial program 20.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 63.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 45.6%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.5%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 46.5%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 36.3%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]

   if -6.0000000000000004e40 < y4 < 3.70000000000000012e110

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 34.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 34.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 34.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 26.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 15.8%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 23.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -6 \cdot 10^{+40} \lor \neg \left(y4 \leq 3.7 \cdot 10^{+110}\right):\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \end{array} \]

Alternative 43: 19.3% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -2.1 \cdot 10^{-155} \lor \neg \left(a \leq 8.5 \cdot 10^{+212}\right):\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= a -2.1e-155) (not (<= a 8.5e+212)))
   (* t (* a (* y2 y5)))
   (* k (* y4 (* y1 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 ((a <= -2.1e-155) || !(a <= 8.5e+212)) {
		tmp = t * (a * (y2 * y5));
	} else {
		tmp = k * (y4 * (y1 * 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 ((a <= (-2.1d-155)) .or. (.not. (a <= 8.5d+212))) then
        tmp = t * (a * (y2 * y5))
    else
        tmp = k * (y4 * (y1 * 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 ((a <= -2.1e-155) || !(a <= 8.5e+212)) {
		tmp = t * (a * (y2 * y5));
	} else {
		tmp = k * (y4 * (y1 * 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 (a <= -2.1e-155) or not (a <= 8.5e+212):
		tmp = t * (a * (y2 * y5))
	else:
		tmp = k * (y4 * (y1 * 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 ((a <= -2.1e-155) || !(a <= 8.5e+212))
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	else
		tmp = Float64(k * Float64(y4 * Float64(y1 * 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 ((a <= -2.1e-155) || ~((a <= 8.5e+212)))
		tmp = t * (a * (y2 * y5));
	else
		tmp = k * (y4 * (y1 * 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[a, -2.1e-155], N[Not[LessEqual[a, 8.5e+212]], $MachinePrecision]], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if a < -2.1000000000000002e-155 or 8.49999999999999979e212 < a

   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 y5 around inf 31.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 31.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 31.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 37.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

   8. Taylor expanded in t around inf 22.7%

      \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   9. Taylor expanded in a around 0 23.5%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 25.0%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)} \]

       2. *-commutative 25.0%

          \[\leadsto \color{blue}{\left(t \cdot a\right)} \cdot \left(y5 \cdot y2\right) \]

       3. *-commutative 25.0%

          \[\leadsto \left(t \cdot a\right) \cdot \color{blue}{\left(y2 \cdot y5\right)} \]

       4. associate-*l* 26.7%

          \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)} \]

       5. *-commutative 26.7%

          \[\leadsto t \cdot \left(a \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   11. Simplified 26.7%

       \[\leadsto \color{blue}{t \cdot \left(a \cdot \left(y5 \cdot y2\right)\right)} \]

   if -2.1000000000000002e-155 < a < 8.49999999999999979e212

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 44.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 26.6%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 27.9%

         \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   7. Simplified 27.9%

      \[\leadsto \color{blue}{\left(y4 \cdot y1\right) \cdot \left(k \cdot y2 - y3 \cdot j\right)} \]

   8. Taylor expanded in k around inf 21.8%

      \[\leadsto \color{blue}{k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 24.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.1 \cdot 10^{-155} \lor \neg \left(a \leq 8.5 \cdot 10^{+212}\right):\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \]

Alternative 44: 16.7% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* y5 (* 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) {
	return a * (y5 * (t * y2));
}

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 * (y5 * (t * y2))
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 * (y5 * (t * y2));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (y5 * (t * y2))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(y5 * Float64(t * y2)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (y5 * (t * y2));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 26.7%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

3. Simplified 26.7%

   \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

4. Taylor expanded in y5 around inf 36.2%

   \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
5. Step-by-step derivation

   1. mul-1-neg 36.2%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

6. Simplified 36.2%

   \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

7. Taylor expanded in a around inf 26.4%

   \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]

8. Taylor expanded in t around inf 15.9%

   \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

9. Final simplification 15.9%

   \[\leadsto a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right) \]

Developer target: 28.0% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023257 
(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)))))