Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 29.3% → 38.4%

Time: 1.3min

Alternatives: 46

Speedup: 2.6×

• 89.0% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Initial Program: 29.3% 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: 38.4% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(c \cdot i - a \cdot b\right)\\ t_2 := j \cdot \left(y1 \cdot y3\right)\\ t_3 := t \cdot j - y \cdot k\\ t_4 := z \cdot t - x \cdot y\\ t_5 := b \cdot t\_3\\ \mathbf{if}\;c \leq -2.45 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(\left(i \cdot t\_4 + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -8500:\\ \;\;\;\;y1 \cdot \left(j \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-206}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot t\_3\right)\right)\\ \mathbf{elif}\;c \leq -1.2 \cdot 10^{-261}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + k \cdot \left(y1 \cdot y2\right)\right) - t\_2\right)\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq -1.08 \cdot 10^{-300}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot t\_4 - y5 \cdot t\_3\right)\right)\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-198}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 - t\_2\right) + c \cdot \left(y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 1.05 \cdot 10^{-90}:\\ \;\;\;\;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}\;c \leq 1.7 \cdot 10^{-48}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 9.8 \cdot 10^{+93}:\\ \;\;\;\;t \cdot \left(\left(t\_1 + b \cdot \left(j \cdot y4\right)\right) - c \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{+138}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(t\_1 + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (- (* c i) (* a b))))
        (t_2 (* j (* y1 y3)))
        (t_3 (- (* t j) (* y k)))
        (t_4 (- (* z t) (* x y)))
        (t_5 (* b t_3)))
   (if (<= c -2.45e+71)
     (*
      c
      (+
       (+ (* i t_4) (* y0 (- (* x y2) (* z y3))))
       (* y4 (- (* y y3) (* t y2)))))
     (if (<= c -8500.0)
       (* y1 (* j (- (* x i) (* y3 y4))))
       (if (<= c -1.3e-206)
         (*
          y5
          (+
           (* a (- (* t y2) (* y y3)))
           (- (* y0 (- (* j y3) (* k y2))) (* i t_3))))
         (if (<= c -1.2e-261)
           (* y4 (- (+ t_5 (* k (* y1 y2))) t_2))
           (if (<= c -1.3e-278)
             (* b (* k (- (* z y0) (* y y4))))
             (if (<= c -1.08e-300)
               (* i (+ (* y1 (- (* x j) (* z k))) (- (* c t_4) (* y5 t_3))))
               (if (<= c 2.8e-198)
                 (* y4 (+ (- t_5 t_2) (* c (* y y3))))
                 (if (<= c 1.05e-90)
                   (*
                    x
                    (-
                     (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
                     (* j (- (* b y0) (* i y1)))))
                   (if (<= c 1.7e-48)
                     (* y1 (* y2 (- (* k y4) (* x a))))
                     (if (<= c 9.8e+93)
                       (* t (- (+ t_1 (* b (* j y4))) (* c (* y2 y4))))
                       (if (<= c 8.5e+138)
                         (* b (* y (- (* x a) (* k y4))))
                         (*
                          t
                          (+ t_1 (* y2 (- (* a y5) (* c y4))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * ((c * i) - (a * b));
	double t_2 = j * (y1 * y3);
	double t_3 = (t * j) - (y * k);
	double t_4 = (z * t) - (x * y);
	double t_5 = b * t_3;
	double tmp;
	if (c <= -2.45e+71) {
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * ((y * y3) - (t * y2))));
	} else if (c <= -8500.0) {
		tmp = y1 * (j * ((x * i) - (y3 * y4)));
	} else if (c <= -1.3e-206) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)));
	} else if (c <= -1.2e-261) {
		tmp = y4 * ((t_5 + (k * (y1 * y2))) - t_2);
	} else if (c <= -1.3e-278) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (c <= -1.08e-300) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * t_4) - (y5 * t_3)));
	} else if (c <= 2.8e-198) {
		tmp = y4 * ((t_5 - t_2) + (c * (y * y3)));
	} else if (c <= 1.05e-90) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	} else if (c <= 1.7e-48) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (c <= 9.8e+93) {
		tmp = t * ((t_1 + (b * (j * y4))) - (c * (y2 * y4)));
	} else if (c <= 8.5e+138) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else {
		tmp = t * (t_1 + (y2 * ((a * y5) - (c * y4))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = z * ((c * i) - (a * b))
    t_2 = j * (y1 * y3)
    t_3 = (t * j) - (y * k)
    t_4 = (z * t) - (x * y)
    t_5 = b * t_3
    if (c <= (-2.45d+71)) then
        tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * ((y * y3) - (t * y2))))
    else if (c <= (-8500.0d0)) then
        tmp = y1 * (j * ((x * i) - (y3 * y4)))
    else if (c <= (-1.3d-206)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)))
    else if (c <= (-1.2d-261)) then
        tmp = y4 * ((t_5 + (k * (y1 * y2))) - t_2)
    else if (c <= (-1.3d-278)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (c <= (-1.08d-300)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * t_4) - (y5 * t_3)))
    else if (c <= 2.8d-198) then
        tmp = y4 * ((t_5 - t_2) + (c * (y * y3)))
    else if (c <= 1.05d-90) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
    else if (c <= 1.7d-48) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (c <= 9.8d+93) then
        tmp = t * ((t_1 + (b * (j * y4))) - (c * (y2 * y4)))
    else if (c <= 8.5d+138) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else
        tmp = t * (t_1 + (y2 * ((a * y5) - (c * y4))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * ((c * i) - (a * b));
	double t_2 = j * (y1 * y3);
	double t_3 = (t * j) - (y * k);
	double t_4 = (z * t) - (x * y);
	double t_5 = b * t_3;
	double tmp;
	if (c <= -2.45e+71) {
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * ((y * y3) - (t * y2))));
	} else if (c <= -8500.0) {
		tmp = y1 * (j * ((x * i) - (y3 * y4)));
	} else if (c <= -1.3e-206) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)));
	} else if (c <= -1.2e-261) {
		tmp = y4 * ((t_5 + (k * (y1 * y2))) - t_2);
	} else if (c <= -1.3e-278) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (c <= -1.08e-300) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * t_4) - (y5 * t_3)));
	} else if (c <= 2.8e-198) {
		tmp = y4 * ((t_5 - t_2) + (c * (y * y3)));
	} else if (c <= 1.05e-90) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	} else if (c <= 1.7e-48) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (c <= 9.8e+93) {
		tmp = t * ((t_1 + (b * (j * y4))) - (c * (y2 * y4)));
	} else if (c <= 8.5e+138) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else {
		tmp = t * (t_1 + (y2 * ((a * y5) - (c * y4))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * ((c * i) - (a * b))
	t_2 = j * (y1 * y3)
	t_3 = (t * j) - (y * k)
	t_4 = (z * t) - (x * y)
	t_5 = b * t_3
	tmp = 0
	if c <= -2.45e+71:
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * ((y * y3) - (t * y2))))
	elif c <= -8500.0:
		tmp = y1 * (j * ((x * i) - (y3 * y4)))
	elif c <= -1.3e-206:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)))
	elif c <= -1.2e-261:
		tmp = y4 * ((t_5 + (k * (y1 * y2))) - t_2)
	elif c <= -1.3e-278:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif c <= -1.08e-300:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * t_4) - (y5 * t_3)))
	elif c <= 2.8e-198:
		tmp = y4 * ((t_5 - t_2) + (c * (y * y3)))
	elif c <= 1.05e-90:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
	elif c <= 1.7e-48:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif c <= 9.8e+93:
		tmp = t * ((t_1 + (b * (j * y4))) - (c * (y2 * y4)))
	elif c <= 8.5e+138:
		tmp = b * (y * ((x * a) - (k * y4)))
	else:
		tmp = t * (t_1 + (y2 * ((a * y5) - (c * y4))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(Float64(c * i) - Float64(a * b)))
	t_2 = Float64(j * Float64(y1 * y3))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(Float64(z * t) - Float64(x * y))
	t_5 = Float64(b * t_3)
	tmp = 0.0
	if (c <= -2.45e+71)
		tmp = Float64(c * Float64(Float64(Float64(i * t_4) + Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (c <= -8500.0)
		tmp = Float64(y1 * Float64(j * Float64(Float64(x * i) - Float64(y3 * y4))));
	elseif (c <= -1.3e-206)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * t_3))));
	elseif (c <= -1.2e-261)
		tmp = Float64(y4 * Float64(Float64(t_5 + Float64(k * Float64(y1 * y2))) - t_2));
	elseif (c <= -1.3e-278)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (c <= -1.08e-300)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * t_4) - Float64(y5 * t_3))));
	elseif (c <= 2.8e-198)
		tmp = Float64(y4 * Float64(Float64(t_5 - t_2) + Float64(c * Float64(y * y3))));
	elseif (c <= 1.05e-90)
		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 (c <= 1.7e-48)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (c <= 9.8e+93)
		tmp = Float64(t * Float64(Float64(t_1 + Float64(b * Float64(j * y4))) - Float64(c * Float64(y2 * y4))));
	elseif (c <= 8.5e+138)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	else
		tmp = Float64(t * Float64(t_1 + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * ((c * i) - (a * b));
	t_2 = j * (y1 * y3);
	t_3 = (t * j) - (y * k);
	t_4 = (z * t) - (x * y);
	t_5 = b * t_3;
	tmp = 0.0;
	if (c <= -2.45e+71)
		tmp = c * (((i * t_4) + (y0 * ((x * y2) - (z * y3)))) + (y4 * ((y * y3) - (t * y2))));
	elseif (c <= -8500.0)
		tmp = y1 * (j * ((x * i) - (y3 * y4)));
	elseif (c <= -1.3e-206)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)));
	elseif (c <= -1.2e-261)
		tmp = y4 * ((t_5 + (k * (y1 * y2))) - t_2);
	elseif (c <= -1.3e-278)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (c <= -1.08e-300)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * t_4) - (y5 * t_3)));
	elseif (c <= 2.8e-198)
		tmp = y4 * ((t_5 - t_2) + (c * (y * y3)));
	elseif (c <= 1.05e-90)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	elseif (c <= 1.7e-48)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (c <= 9.8e+93)
		tmp = t * ((t_1 + (b * (j * y4))) - (c * (y2 * y4)));
	elseif (c <= 8.5e+138)
		tmp = b * (y * ((x * a) - (k * y4)));
	else
		tmp = t * (t_1 + (y2 * ((a * y5) - (c * y4))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(b * t$95$3), $MachinePrecision]}, If[LessEqual[c, -2.45e+71], N[(c * N[(N[(N[(i * t$95$4), $MachinePrecision] + N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -8500.0], N[(y1 * N[(j * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.3e-206], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.2e-261], N[(y4 * N[(N[(t$95$5 + N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.3e-278], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.08e-300], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * t$95$4), $MachinePrecision] - N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.8e-198], N[(y4 * N[(N[(t$95$5 - t$95$2), $MachinePrecision] + N[(c * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.05e-90], 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[c, 1.7e-48], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 9.8e+93], N[(t * N[(N[(t$95$1 + N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 8.5e+138], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(t$95$1 + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if c < -2.4499999999999998e71

   1. Initial program 20.6%

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

   3. Taylor expanded in c around inf 59.4%

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

   if -2.4499999999999998e71 < c < -8500

   1. Initial program 38.9%

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

   3. Taylor expanded in y1 around inf 69.0%

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

   4. Taylor expanded in j around -inf 66.6%

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

      1. mul-1-neg 66.6%

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

   6. Simplified 66.6%

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

   if -8500 < c < -1.3e-206

   1. Initial program 25.6%

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

   3. Taylor expanded in y5 around -inf 55.2%

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

   if -1.3e-206 < c < -1.20000000000000007e-261

   1. Initial program 41.3%

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

   3. Taylor expanded in y4 around inf 66.8%

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

   4. Taylor expanded in k around 0 66.9%

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

      1. +-commutative 66.9%

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

      2. mul-1-neg 66.9%

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

      3. unsub-neg 66.9%

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

   6. Simplified 66.9%

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

   7. Taylor expanded in c around 0 75.2%

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

   if -1.20000000000000007e-261 < c < -1.2999999999999999e-278

   1. Initial program 60.0%

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

   3. Taylor expanded in b around inf 60.1%

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

   4. Taylor expanded in k around -inf 80.4%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 80.4%

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

   6. Simplified 80.4%

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

   if -1.2999999999999999e-278 < c < -1.08e-300

   1. Initial program 50.0%

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

   3. Taylor expanded in i around -inf 84.7%

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

   if -1.08e-300 < c < 2.7999999999999999e-198

   1. Initial program 27.1%

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

   3. Taylor expanded in y4 around inf 50.4%

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

   4. Taylor expanded in y2 around 0 59.7%

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

   if 2.7999999999999999e-198 < c < 1.05e-90

   1. Initial program 50.0%

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

   3. Taylor expanded in x around inf 67.6%

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

   if 1.05e-90 < c < 1.70000000000000014e-48

   1. Initial program 23.1%

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

   3. Taylor expanded in y1 around inf 46.5%

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

   4. Taylor expanded in y2 around inf 69.5%

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

      1. +-commutative 69.5%

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

      2. mul-1-neg 69.5%

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

      3. unsub-neg 69.5%

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

   6. Simplified 69.5%

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

   if 1.70000000000000014e-48 < c < 9.79999999999999938e93

   1. Initial program 20.0%

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

   3. Taylor expanded in t around inf 65.6%

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

   4. Taylor expanded in y5 around 0 75.6%

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

      1. +-commutative 75.6%

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

      2. mul-1-neg 75.6%

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

      3. unsub-neg 75.6%

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

   6. Simplified 75.6%

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

   if 9.79999999999999938e93 < c < 8.5000000000000006e138

   1. Initial program 41.7%

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

   3. Taylor expanded in b around inf 58.9%

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

   4. Taylor expanded in y around inf 67.4%

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

      1. +-commutative 67.4%

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

      2. mul-1-neg 67.4%

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

      3. unsub-neg 67.4%

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

   6. Simplified 67.4%

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

   if 8.5000000000000006e138 < c

   1. Initial program 22.2%

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

   3. Taylor expanded in t around inf 39.2%

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

   4. Taylor expanded in j around 0 58.5%

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

      1. mul-1-neg 58.5%

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

   6. Simplified 58.5%

      \[\leadsto \color{blue}{t \cdot \left(\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 63.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -2.45 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(\left(i \cdot \left(z \cdot t - x \cdot y\right) + y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -8500:\\ \;\;\;\;y1 \cdot \left(j \cdot \left(x \cdot i - y3 \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-206}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;c \leq -1.2 \cdot 10^{-261}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq -1.08 \cdot 10^{-300}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-198}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 1.05 \cdot 10^{-90}:\\ \;\;\;\;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}\;c \leq 1.7 \cdot 10^{-48}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 9.8 \cdot 10^{+93}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + b \cdot \left(j \cdot y4\right)\right) - c \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{+138}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 52.8% accurate, 0.5× speedup

Math

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

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2
         (+
          (+
           (+
            (+
             (+
              (* (- (* a b) (* c i)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) (- (* z k) (* x j))))
             (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))))
            (* t_1 (- (* b y4) (* i y5))))
           (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
          (* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5))))))
   (if (<= t_2 INFINITY)
     t_2
     (*
      y4
      (+
       (+ (* b t_1) (- (* k (* y1 y2)) (* j (* y1 y3))))
       (* c (- (* 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 = (t * j) - (y * k);
	double t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((b * y4) - (i * y5)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_2 <= ((double) INFINITY)) {
		tmp = t_2;
	} else {
		tmp = y4 * (((b * t_1) + ((k * (y1 * y2)) - (j * (y1 * y3)))) + (c * ((y * y3) - (t * y2))));
	}
	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 = (t * j) - (y * k);
	double t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((b * y4) - (i * y5)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_2 <= Double.POSITIVE_INFINITY) {
		tmp = t_2;
	} else {
		tmp = y4 * (((b * t_1) + ((k * (y1 * y2)) - (j * (y1 * y3)))) + (c * ((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 = (t * j) - (y * k)
	t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((b * y4) - (i * y5)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if t_2 <= math.inf:
		tmp = t_2
	else:
		tmp = y4 * (((b * t_1) + ((k * (y1 * y2)) - (j * (y1 * y3)))) + (c * ((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(t * j) - Float64(y * k))
	t_2 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(a * b) - Float64(c * i)) * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(Float64(b * y0) - Float64(i * y1)) * Float64(Float64(z * k) - Float64(x * j)))) + Float64(Float64(Float64(x * y2) - Float64(z * y3)) * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t_1 * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (t_2 <= Inf)
		tmp = t_2;
	else
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(Float64(k * Float64(y1 * y2)) - Float64(j * Float64(y1 * y3)))) + Float64(c * 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 = (t * j) - (y * k);
	t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((b * y4) - (i * y5)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (t_2 <= Inf)
		tmp = t_2;
	else
		tmp = y4 * (((b * t_1) + ((k * (y1 * y2)) - (j * (y1 * y3)))) + (c * ((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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(N[(N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$2, Infinity], t$95$2, N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision] - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $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 92.7%

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

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

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 39.2%

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

   4. Taylor expanded in k around 0 41.0%

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

      1. +-commutative 41.0%

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

      2. mul-1-neg 41.0%

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

      3. unsub-neg 41.0%

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

   6. Simplified 41.0%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 57.3%

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

Alternative 3: 40.5% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y1 - c \cdot y0\\ t_2 := c \cdot i - a \cdot b\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := a \cdot b - c \cdot i\\ t_6 := c \cdot \left(y \cdot y3 - t \cdot y2\right)\\ t_7 := t \cdot j - y \cdot k\\ t_8 := c \cdot y4 - a \cdot y5\\ t_9 := y3 \cdot \left(y \cdot t\_8 + \left(z \cdot t\_1 - j \cdot t\_4\right)\right)\\ t_10 := b \cdot t\_7\\ t_11 := b \cdot y0 - i \cdot y1\\ \mathbf{if}\;y3 \leq -3.5 \cdot 10^{+188}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{+82}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot t\_7\right)\right)\\ \mathbf{elif}\;y3 \leq -3.7 \cdot 10^{+42}:\\ \;\;\;\;y4 \cdot \left(\left(t\_10 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + t\_6\right)\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{-249}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t\_5\right) + y3 \cdot t\_8\right)\\ \mathbf{elif}\;y3 \leq 10^{-263}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t\_5 + y2 \cdot t\_3\right) - j \cdot t\_11\right)\\ \mathbf{elif}\;y3 \leq 5.4 \cdot 10^{-220}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.25 \cdot 10^{-206}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_4 + x \cdot t\_3\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 4.6 \cdot 10^{-127}:\\ \;\;\;\;z \cdot \left(k \cdot t\_11 + \left(t \cdot t\_2 + y3 \cdot t\_1\right)\right)\\ \mathbf{elif}\;y3 \leq 2.95 \cdot 10^{-55}:\\ \;\;\;\;t \cdot \left(\left(z \cdot t\_2 + b \cdot \left(j \cdot y4\right)\right) - c \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.4 \cdot 10^{+168}:\\ \;\;\;\;y4 \cdot \left(\left(t\_10 + \left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)\right) + t\_6\right)\\ \mathbf{else}:\\ \;\;\;\;t\_9\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y1) (* c y0)))
        (t_2 (- (* c i) (* a b)))
        (t_3 (- (* c y0) (* a y1)))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5 (- (* a b) (* c i)))
        (t_6 (* c (- (* y y3) (* t y2))))
        (t_7 (- (* t j) (* y k)))
        (t_8 (- (* c y4) (* a y5)))
        (t_9 (* y3 (+ (* y t_8) (- (* z t_1) (* j t_4)))))
        (t_10 (* b t_7))
        (t_11 (- (* b y0) (* i y1))))
   (if (<= y3 -3.5e+188)
     t_9
     (if (<= y3 -1.5e+82)
       (*
        y5
        (+
         (* a (- (* t y2) (* y y3)))
         (- (* y0 (- (* j y3) (* k y2))) (* i t_7))))
       (if (<= y3 -3.7e+42)
         (* y4 (+ (+ t_10 (* y1 (- (* k y2) (* j y3)))) t_6))
         (if (<= y3 -1.5e-249)
           (* y (+ (+ (* k (- (* i y5) (* b y4))) (* x t_5)) (* y3 t_8)))
           (if (<= y3 1e-263)
             (* x (- (+ (* y t_5) (* y2 t_3)) (* j t_11)))
             (if (<= y3 5.4e-220)
               (* t (* y4 (- (* b j) (* c y2))))
               (if (<= y3 1.25e-206)
                 (* y2 (+ (+ (* k t_4) (* x t_3)) (* t (- (* a y5) (* c y4)))))
                 (if (<= y3 4.6e-127)
                   (* z (+ (* k t_11) (+ (* t t_2) (* y3 t_1))))
                   (if (<= y3 2.95e-55)
                     (* t (- (+ (* z t_2) (* b (* j y4))) (* c (* y2 y4))))
                     (if (<= y3 2.4e+168)
                       (*
                        y4
                        (+ (+ t_10 (- (* k (* y1 y2)) (* j (* y1 y3)))) t_6))
                       t_9))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = (c * i) - (a * b);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (a * b) - (c * i);
	double t_6 = c * ((y * y3) - (t * y2));
	double t_7 = (t * j) - (y * k);
	double t_8 = (c * y4) - (a * y5);
	double t_9 = y3 * ((y * t_8) + ((z * t_1) - (j * t_4)));
	double t_10 = b * t_7;
	double t_11 = (b * y0) - (i * y1);
	double tmp;
	if (y3 <= -3.5e+188) {
		tmp = t_9;
	} else if (y3 <= -1.5e+82) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_7)));
	} else if (y3 <= -3.7e+42) {
		tmp = y4 * ((t_10 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	} else if (y3 <= -1.5e-249) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_5)) + (y3 * t_8));
	} else if (y3 <= 1e-263) {
		tmp = x * (((y * t_5) + (y2 * t_3)) - (j * t_11));
	} else if (y3 <= 5.4e-220) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.25e-206) {
		tmp = y2 * (((k * t_4) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	} else if (y3 <= 4.6e-127) {
		tmp = z * ((k * t_11) + ((t * t_2) + (y3 * t_1)));
	} else if (y3 <= 2.95e-55) {
		tmp = t * (((z * t_2) + (b * (j * y4))) - (c * (y2 * y4)));
	} else if (y3 <= 2.4e+168) {
		tmp = y4 * ((t_10 + ((k * (y1 * y2)) - (j * (y1 * y3)))) + t_6);
	} else {
		tmp = t_9;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (a * y1) - (c * y0)
    t_2 = (c * i) - (a * b)
    t_3 = (c * y0) - (a * y1)
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = (a * b) - (c * i)
    t_6 = c * ((y * y3) - (t * y2))
    t_7 = (t * j) - (y * k)
    t_8 = (c * y4) - (a * y5)
    t_9 = y3 * ((y * t_8) + ((z * t_1) - (j * t_4)))
    t_10 = b * t_7
    t_11 = (b * y0) - (i * y1)
    if (y3 <= (-3.5d+188)) then
        tmp = t_9
    else if (y3 <= (-1.5d+82)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_7)))
    else if (y3 <= (-3.7d+42)) then
        tmp = y4 * ((t_10 + (y1 * ((k * y2) - (j * y3)))) + t_6)
    else if (y3 <= (-1.5d-249)) then
        tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_5)) + (y3 * t_8))
    else if (y3 <= 1d-263) then
        tmp = x * (((y * t_5) + (y2 * t_3)) - (j * t_11))
    else if (y3 <= 5.4d-220) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y3 <= 1.25d-206) then
        tmp = y2 * (((k * t_4) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
    else if (y3 <= 4.6d-127) then
        tmp = z * ((k * t_11) + ((t * t_2) + (y3 * t_1)))
    else if (y3 <= 2.95d-55) then
        tmp = t * (((z * t_2) + (b * (j * y4))) - (c * (y2 * y4)))
    else if (y3 <= 2.4d+168) then
        tmp = y4 * ((t_10 + ((k * (y1 * y2)) - (j * (y1 * y3)))) + t_6)
    else
        tmp = t_9
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y1) - (c * y0);
	double t_2 = (c * i) - (a * b);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (a * b) - (c * i);
	double t_6 = c * ((y * y3) - (t * y2));
	double t_7 = (t * j) - (y * k);
	double t_8 = (c * y4) - (a * y5);
	double t_9 = y3 * ((y * t_8) + ((z * t_1) - (j * t_4)));
	double t_10 = b * t_7;
	double t_11 = (b * y0) - (i * y1);
	double tmp;
	if (y3 <= -3.5e+188) {
		tmp = t_9;
	} else if (y3 <= -1.5e+82) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_7)));
	} else if (y3 <= -3.7e+42) {
		tmp = y4 * ((t_10 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	} else if (y3 <= -1.5e-249) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_5)) + (y3 * t_8));
	} else if (y3 <= 1e-263) {
		tmp = x * (((y * t_5) + (y2 * t_3)) - (j * t_11));
	} else if (y3 <= 5.4e-220) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y3 <= 1.25e-206) {
		tmp = y2 * (((k * t_4) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	} else if (y3 <= 4.6e-127) {
		tmp = z * ((k * t_11) + ((t * t_2) + (y3 * t_1)));
	} else if (y3 <= 2.95e-55) {
		tmp = t * (((z * t_2) + (b * (j * y4))) - (c * (y2 * y4)));
	} else if (y3 <= 2.4e+168) {
		tmp = y4 * ((t_10 + ((k * (y1 * y2)) - (j * (y1 * y3)))) + t_6);
	} else {
		tmp = t_9;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y1) - (c * y0)
	t_2 = (c * i) - (a * b)
	t_3 = (c * y0) - (a * y1)
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = (a * b) - (c * i)
	t_6 = c * ((y * y3) - (t * y2))
	t_7 = (t * j) - (y * k)
	t_8 = (c * y4) - (a * y5)
	t_9 = y3 * ((y * t_8) + ((z * t_1) - (j * t_4)))
	t_10 = b * t_7
	t_11 = (b * y0) - (i * y1)
	tmp = 0
	if y3 <= -3.5e+188:
		tmp = t_9
	elif y3 <= -1.5e+82:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_7)))
	elif y3 <= -3.7e+42:
		tmp = y4 * ((t_10 + (y1 * ((k * y2) - (j * y3)))) + t_6)
	elif y3 <= -1.5e-249:
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_5)) + (y3 * t_8))
	elif y3 <= 1e-263:
		tmp = x * (((y * t_5) + (y2 * t_3)) - (j * t_11))
	elif y3 <= 5.4e-220:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y3 <= 1.25e-206:
		tmp = y2 * (((k * t_4) + (x * t_3)) + (t * ((a * y5) - (c * y4))))
	elif y3 <= 4.6e-127:
		tmp = z * ((k * t_11) + ((t * t_2) + (y3 * t_1)))
	elif y3 <= 2.95e-55:
		tmp = t * (((z * t_2) + (b * (j * y4))) - (c * (y2 * y4)))
	elif y3 <= 2.4e+168:
		tmp = y4 * ((t_10 + ((k * (y1 * y2)) - (j * (y1 * y3)))) + t_6)
	else:
		tmp = t_9
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y1) - Float64(c * y0))
	t_2 = Float64(Float64(c * i) - Float64(a * b))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(Float64(a * b) - Float64(c * i))
	t_6 = Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))
	t_7 = Float64(Float64(t * j) - Float64(y * k))
	t_8 = Float64(Float64(c * y4) - Float64(a * y5))
	t_9 = Float64(y3 * Float64(Float64(y * t_8) + Float64(Float64(z * t_1) - Float64(j * t_4))))
	t_10 = Float64(b * t_7)
	t_11 = Float64(Float64(b * y0) - Float64(i * y1))
	tmp = 0.0
	if (y3 <= -3.5e+188)
		tmp = t_9;
	elseif (y3 <= -1.5e+82)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * t_7))));
	elseif (y3 <= -3.7e+42)
		tmp = Float64(y4 * Float64(Float64(t_10 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + t_6));
	elseif (y3 <= -1.5e-249)
		tmp = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_5)) + Float64(y3 * t_8)));
	elseif (y3 <= 1e-263)
		tmp = Float64(x * Float64(Float64(Float64(y * t_5) + Float64(y2 * t_3)) - Float64(j * t_11)));
	elseif (y3 <= 5.4e-220)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y3 <= 1.25e-206)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_4) + Float64(x * t_3)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y3 <= 4.6e-127)
		tmp = Float64(z * Float64(Float64(k * t_11) + Float64(Float64(t * t_2) + Float64(y3 * t_1))));
	elseif (y3 <= 2.95e-55)
		tmp = Float64(t * Float64(Float64(Float64(z * t_2) + Float64(b * Float64(j * y4))) - Float64(c * Float64(y2 * y4))));
	elseif (y3 <= 2.4e+168)
		tmp = Float64(y4 * Float64(Float64(t_10 + Float64(Float64(k * Float64(y1 * y2)) - Float64(j * Float64(y1 * y3)))) + t_6));
	else
		tmp = t_9;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y1) - (c * y0);
	t_2 = (c * i) - (a * b);
	t_3 = (c * y0) - (a * y1);
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = (a * b) - (c * i);
	t_6 = c * ((y * y3) - (t * y2));
	t_7 = (t * j) - (y * k);
	t_8 = (c * y4) - (a * y5);
	t_9 = y3 * ((y * t_8) + ((z * t_1) - (j * t_4)));
	t_10 = b * t_7;
	t_11 = (b * y0) - (i * y1);
	tmp = 0.0;
	if (y3 <= -3.5e+188)
		tmp = t_9;
	elseif (y3 <= -1.5e+82)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_7)));
	elseif (y3 <= -3.7e+42)
		tmp = y4 * ((t_10 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	elseif (y3 <= -1.5e-249)
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_5)) + (y3 * t_8));
	elseif (y3 <= 1e-263)
		tmp = x * (((y * t_5) + (y2 * t_3)) - (j * t_11));
	elseif (y3 <= 5.4e-220)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y3 <= 1.25e-206)
		tmp = y2 * (((k * t_4) + (x * t_3)) + (t * ((a * y5) - (c * y4))));
	elseif (y3 <= 4.6e-127)
		tmp = z * ((k * t_11) + ((t * t_2) + (y3 * t_1)));
	elseif (y3 <= 2.95e-55)
		tmp = t * (((z * t_2) + (b * (j * y4))) - (c * (y2 * y4)));
	elseif (y3 <= 2.4e+168)
		tmp = y4 * ((t_10 + ((k * (y1 * y2)) - (j * (y1 * y3)))) + t_6);
	else
		tmp = t_9;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(y3 * N[(N[(y * t$95$8), $MachinePrecision] + N[(N[(z * t$95$1), $MachinePrecision] - N[(j * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(b * t$95$7), $MachinePrecision]}, Block[{t$95$11 = N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.5e+188], t$95$9, If[LessEqual[y3, -1.5e+82], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.7e+42], N[(y4 * N[(N[(t$95$10 + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.5e-249], N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1e-263], N[(x * N[(N[(N[(y * t$95$5), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$11), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 5.4e-220], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.25e-206], N[(y2 * N[(N[(N[(k * t$95$4), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.6e-127], N[(z * N[(N[(k * t$95$11), $MachinePrecision] + N[(N[(t * t$95$2), $MachinePrecision] + N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.95e-55], N[(t * N[(N[(N[(z * t$95$2), $MachinePrecision] + N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.4e+168], N[(y4 * N[(N[(t$95$10 + N[(N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision] - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision], t$95$9]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y3 < -3.50000000000000008e188 or 2.40000000000000009e168 < y3

   1. Initial program 11.3%

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

   3. Taylor expanded in y3 around -inf 62.7%

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

   if -3.50000000000000008e188 < y3 < -1.49999999999999995e82

   1. Initial program 31.5%

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

   3. Taylor expanded in y5 around -inf 72.1%

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

   if -1.49999999999999995e82 < y3 < -3.69999999999999996e42

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 86.4%

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

   if -3.69999999999999996e42 < y3 < -1.50000000000000002e-249

   1. Initial program 34.4%

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

   3. Taylor expanded in y around inf 58.2%

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

   if -1.50000000000000002e-249 < y3 < 1e-263

   1. Initial program 56.2%

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

   3. Taylor expanded in x around inf 60.5%

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

   if 1e-263 < y3 < 5.4e-220

   1. Initial program 19.5%

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

   3. Taylor expanded in t around inf 45.5%

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

   4. Taylor expanded in y4 around inf 55.5%

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

   if 5.4e-220 < y3 < 1.25e-206

   1. Initial program 40.0%

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

   3. Taylor expanded in y2 around inf 80.6%

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

   if 1.25e-206 < y3 < 4.60000000000000038e-127

   1. Initial program 38.0%

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

   3. Taylor expanded in z around -inf 57.7%

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

   if 4.60000000000000038e-127 < y3 < 2.9499999999999999e-55

   1. Initial program 24.9%

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

   3. Taylor expanded in t around inf 55.6%

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

   4. Taylor expanded in y5 around 0 60.9%

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

      1. +-commutative 60.9%

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

      2. mul-1-neg 60.9%

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

      3. unsub-neg 60.9%

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

   6. Simplified 60.9%

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

   if 2.9499999999999999e-55 < y3 < 2.40000000000000009e168

   1. Initial program 28.3%

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

   3. Taylor expanded in y4 around inf 61.2%

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

   4. Taylor expanded in k around 0 67.7%

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

      1. +-commutative 67.7%

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

      2. mul-1-neg 67.7%

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

      3. unsub-neg 67.7%

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

   6. Simplified 67.7%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 63.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.5 \cdot 10^{+188}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -1.5 \cdot 10^{+82}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.7 \cdot 10^{+42}:\\ \;\;\;\;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}\;y3 \leq -1.5 \cdot 10^{-249}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 10^{-263}:\\ \;\;\;\;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}\;y3 \leq 5.4 \cdot 10^{-220}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.25 \cdot 10^{-206}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 4.6 \cdot 10^{-127}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) + y3 \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 2.95 \cdot 10^{-55}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + b \cdot \left(j \cdot y4\right)\right) - c \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.4 \cdot 10^{+168}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + \left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 38.4% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ t_3 := t \cdot j - y \cdot k\\ t_4 := b \cdot t\_3\\ t_5 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_3\right)\right)\\ \mathbf{if}\;y4 \leq -2.2 \cdot 10^{+182}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -4.6 \cdot 10^{+20}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot t\_3\right)\right)\\ \mathbf{elif}\;y4 \leq -390000:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -4.8 \cdot 10^{-42}:\\ \;\;\;\;y4 \cdot \left(t\_4 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{-162}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 1.76 \cdot 10^{-96}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y4 \leq 3.9 \cdot 10^{-22}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t\_1\right)\right)\\ \mathbf{elif}\;y4 \leq 2.6 \cdot 10^{+99}:\\ \;\;\;\;t\_5\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(t\_4 - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (* b (* y (- (* x a) (* k y4)))))
        (t_3 (- (* t j) (* y k)))
        (t_4 (* b t_3))
        (t_5
         (*
          i
          (+
           (* y1 (- (* x j) (* z k)))
           (- (* c (- (* z t) (* x y))) (* y5 t_3))))))
   (if (<= y4 -2.2e+182)
     t_2
     (if (<= y4 -2.5e+116)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -4.6e+20)
         (*
          y5
          (+
           (* a (- (* t y2) (* y y3)))
           (- (* y0 (- (* j y3) (* k y2))) (* i t_3))))
         (if (<= y4 -390000.0)
           t_2
           (if (<= y4 -4.8e-42)
             (* y4 (+ t_4 (* y1 (- (* k y2) (* j y3)))))
             (if (<= y4 -6.2e-162)
               (*
                y2
                (+
                 (+ (* k t_1) (* x (- (* c y0) (* a y1))))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= y4 -7e-243)
                 (* a (* b (- (* x y) (* z t))))
                 (if (<= y4 1.76e-96)
                   t_5
                   (if (<= y4 3.9e-22)
                     (*
                      y3
                      (+
                       (* y (- (* c y4) (* a y5)))
                       (- (* z (- (* a y1) (* c y0))) (* j t_1))))
                     (if (<= y4 2.6e+99)
                       t_5
                       (*
                        y4
                        (+ (- t_4 (* j (* y1 y3))) (* c (* 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 = (y1 * y4) - (y0 * y5);
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double t_3 = (t * j) - (y * k);
	double t_4 = b * t_3;
	double t_5 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)));
	double tmp;
	if (y4 <= -2.2e+182) {
		tmp = t_2;
	} else if (y4 <= -2.5e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -4.6e+20) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)));
	} else if (y4 <= -390000.0) {
		tmp = t_2;
	} else if (y4 <= -4.8e-42) {
		tmp = y4 * (t_4 + (y1 * ((k * y2) - (j * y3))));
	} else if (y4 <= -6.2e-162) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= -7e-243) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 1.76e-96) {
		tmp = t_5;
	} else if (y4 <= 3.9e-22) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	} else if (y4 <= 2.6e+99) {
		tmp = t_5;
	} else {
		tmp = y4 * ((t_4 - (j * (y1 * y3))) + (c * (y * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = b * (y * ((x * a) - (k * y4)))
    t_3 = (t * j) - (y * k)
    t_4 = b * t_3
    t_5 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)))
    if (y4 <= (-2.2d+182)) then
        tmp = t_2
    else if (y4 <= (-2.5d+116)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-4.6d+20)) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)))
    else if (y4 <= (-390000.0d0)) then
        tmp = t_2
    else if (y4 <= (-4.8d-42)) then
        tmp = y4 * (t_4 + (y1 * ((k * y2) - (j * y3))))
    else if (y4 <= (-6.2d-162)) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= (-7d-243)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 1.76d-96) then
        tmp = t_5
    else if (y4 <= 3.9d-22) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
    else if (y4 <= 2.6d+99) then
        tmp = t_5
    else
        tmp = y4 * ((t_4 - (j * (y1 * y3))) + (c * (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 = (y1 * y4) - (y0 * y5);
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double t_3 = (t * j) - (y * k);
	double t_4 = b * t_3;
	double t_5 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)));
	double tmp;
	if (y4 <= -2.2e+182) {
		tmp = t_2;
	} else if (y4 <= -2.5e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -4.6e+20) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)));
	} else if (y4 <= -390000.0) {
		tmp = t_2;
	} else if (y4 <= -4.8e-42) {
		tmp = y4 * (t_4 + (y1 * ((k * y2) - (j * y3))));
	} else if (y4 <= -6.2e-162) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= -7e-243) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 1.76e-96) {
		tmp = t_5;
	} else if (y4 <= 3.9e-22) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	} else if (y4 <= 2.6e+99) {
		tmp = t_5;
	} else {
		tmp = y4 * ((t_4 - (j * (y1 * y3))) + (c * (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 = (y1 * y4) - (y0 * y5)
	t_2 = b * (y * ((x * a) - (k * y4)))
	t_3 = (t * j) - (y * k)
	t_4 = b * t_3
	t_5 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)))
	tmp = 0
	if y4 <= -2.2e+182:
		tmp = t_2
	elif y4 <= -2.5e+116:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -4.6e+20:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)))
	elif y4 <= -390000.0:
		tmp = t_2
	elif y4 <= -4.8e-42:
		tmp = y4 * (t_4 + (y1 * ((k * y2) - (j * y3))))
	elif y4 <= -6.2e-162:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y4 <= -7e-243:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 1.76e-96:
		tmp = t_5
	elif y4 <= 3.9e-22:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
	elif y4 <= 2.6e+99:
		tmp = t_5
	else:
		tmp = y4 * ((t_4 - (j * (y1 * y3))) + (c * (y * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(b * t_3)
	t_5 = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_3))))
	tmp = 0.0
	if (y4 <= -2.2e+182)
		tmp = t_2;
	elseif (y4 <= -2.5e+116)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -4.6e+20)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * t_3))));
	elseif (y4 <= -390000.0)
		tmp = t_2;
	elseif (y4 <= -4.8e-42)
		tmp = Float64(y4 * Float64(t_4 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))));
	elseif (y4 <= -6.2e-162)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -7e-243)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 1.76e-96)
		tmp = t_5;
	elseif (y4 <= 3.9e-22)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_1))));
	elseif (y4 <= 2.6e+99)
		tmp = t_5;
	else
		tmp = Float64(y4 * Float64(Float64(t_4 - Float64(j * Float64(y1 * y3))) + Float64(c * 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 = (y1 * y4) - (y0 * y5);
	t_2 = b * (y * ((x * a) - (k * y4)));
	t_3 = (t * j) - (y * k);
	t_4 = b * t_3;
	t_5 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)));
	tmp = 0.0;
	if (y4 <= -2.2e+182)
		tmp = t_2;
	elseif (y4 <= -2.5e+116)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -4.6e+20)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * t_3)));
	elseif (y4 <= -390000.0)
		tmp = t_2;
	elseif (y4 <= -4.8e-42)
		tmp = y4 * (t_4 + (y1 * ((k * y2) - (j * y3))));
	elseif (y4 <= -6.2e-162)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= -7e-243)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 1.76e-96)
		tmp = t_5;
	elseif (y4 <= 3.9e-22)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	elseif (y4 <= 2.6e+99)
		tmp = t_5;
	else
		tmp = y4 * ((t_4 - (j * (y1 * y3))) + (c * (y * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(b * t$95$3), $MachinePrecision]}, Block[{t$95$5 = N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.2e+182], t$95$2, If[LessEqual[y4, -2.5e+116], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.6e+20], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -390000.0], t$95$2, If[LessEqual[y4, -4.8e-42], N[(y4 * N[(t$95$4 + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.2e-162], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7e-243], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.76e-96], t$95$5, If[LessEqual[y4, 3.9e-22], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.6e+99], t$95$5, N[(y4 * N[(N[(t$95$4 - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -2.19999999999999997e182 or -4.6e20 < y4 < -3.9e5

   1. Initial program 26.7%

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

   3. Taylor expanded in b around inf 44.4%

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

   4. Taylor expanded in y around inf 64.1%

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

      1. +-commutative 64.1%

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

      2. mul-1-neg 64.1%

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

      3. unsub-neg 64.1%

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

   6. Simplified 64.1%

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

   if -2.19999999999999997e182 < y4 < -2.50000000000000013e116

   1. Initial program 15.3%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in k around -inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. distribute-rgt-neg-in 65.3%

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

      4. +-commutative 65.3%

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

      5. mul-1-neg 65.3%

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

      6. unsub-neg 65.3%

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

      7. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -2.50000000000000013e116 < y4 < -4.6e20

   1. Initial program 33.4%

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

   3. Taylor expanded in y5 around -inf 53.1%

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

   if -3.9e5 < y4 < -4.80000000000000005e-42

   1. Initial program 49.7%

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

   3. Taylor expanded in y4 around inf 59.7%

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

   4. Taylor expanded in c around 0 59.7%

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

   if -4.80000000000000005e-42 < y4 < -6.1999999999999997e-162

   1. Initial program 19.5%

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

   3. Taylor expanded in y2 around inf 52.5%

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

   if -6.1999999999999997e-162 < y4 < -6.99999999999999958e-243

   1. Initial program 29.9%

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

   3. Taylor expanded in b around inf 40.8%

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

   4. Taylor expanded in a around inf 60.4%

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

   if -6.99999999999999958e-243 < y4 < 1.7599999999999999e-96 or 3.89999999999999998e-22 < y4 < 2.6e99

   1. Initial program 40.8%

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

   3. Taylor expanded in i around -inf 58.2%

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

   if 1.7599999999999999e-96 < y4 < 3.89999999999999998e-22

   1. Initial program 21.4%

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

   3. Taylor expanded in y3 around -inf 57.8%

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

   if 2.6e99 < y4

   1. Initial program 19.0%

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

   3. Taylor expanded in y4 around inf 67.0%

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

   4. Taylor expanded in y2 around 0 70.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + b \cdot \left(j \cdot t - k \cdot y\right)\right) - -1 \cdot \left(c \cdot \left(y \cdot y3\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 60.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.2 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -4.6 \cdot 10^{+20}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -390000:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -4.8 \cdot 10^{-42}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{-162}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 1.76 \cdot 10^{-96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 3.9 \cdot 10^{-22}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.6 \cdot 10^{+99}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 37.4% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ \mathbf{if}\;y4 \leq -8.6 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7.5 \cdot 10^{+113}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -5.2 \cdot 10^{-72}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -8.2 \cdot 10^{-123}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -3.8 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -7.8 \cdot 10^{-173}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.8 \cdot 10^{-175}:\\ \;\;\;\;\left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{-201}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{-234}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 2.55 \cdot 10^{+98}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_1 - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k))))
   (if (<= y4 -8.6e+181)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -7.5e+113)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -5.2e-72)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -8.2e-123)
           (* t (+ (* z (- (* c i) (* a b))) (* y2 (- (* a y5) (* c y4)))))
           (if (<= y4 -3.8e-147)
             (* y1 (* k (- (* y2 y4) (* z i))))
             (if (<= y4 -7.8e-173)
               (* y0 (* y5 (- (* j y3) (* k y2))))
               (if (<= y4 -4.8e-175)
                 (* (- t) (* y4 (* c y2)))
                 (if (<= y4 -2.8e-201)
                   (* a (* b (- (* x y) (* z t))))
                   (if (<= y4 -1.75e-234)
                     (*
                      x
                      (-
                       (+
                        (* y (- (* a b) (* c i)))
                        (* y2 (- (* c y0) (* a y1))))
                       (* j (- (* b y0) (* i y1)))))
                     (if (<= y4 2.55e+98)
                       (*
                        i
                        (+
                         (* y1 (- (* x j) (* z k)))
                         (- (* c (- (* z t) (* x y))) (* y5 t_1))))
                       (*
                        y4
                        (+
                         (- (* b t_1) (* j (* y1 y3)))
                         (* c (* 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 = (t * j) - (y * k);
	double tmp;
	if (y4 <= -8.6e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -7.5e+113) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -5.2e-72) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -8.2e-123) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -3.8e-147) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y4 <= -7.8e-173) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -4.8e-175) {
		tmp = -t * (y4 * (c * y2));
	} else if (y4 <= -2.8e-201) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= -1.75e-234) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	} else if (y4 <= 2.55e+98) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_1)));
	} else {
		tmp = y4 * (((b * t_1) - (j * (y1 * y3))) + (c * (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 = (t * j) - (y * k)
    if (y4 <= (-8.6d+181)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-7.5d+113)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-5.2d-72)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-8.2d-123)) then
        tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    else if (y4 <= (-3.8d-147)) then
        tmp = y1 * (k * ((y2 * y4) - (z * i)))
    else if (y4 <= (-7.8d-173)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y4 <= (-4.8d-175)) then
        tmp = -t * (y4 * (c * y2))
    else if (y4 <= (-2.8d-201)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= (-1.75d-234)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
    else if (y4 <= 2.55d+98) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_1)))
    else
        tmp = y4 * (((b * t_1) - (j * (y1 * y3))) + (c * (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 = (t * j) - (y * k);
	double tmp;
	if (y4 <= -8.6e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -7.5e+113) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -5.2e-72) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -8.2e-123) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -3.8e-147) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y4 <= -7.8e-173) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -4.8e-175) {
		tmp = -t * (y4 * (c * y2));
	} else if (y4 <= -2.8e-201) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= -1.75e-234) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	} else if (y4 <= 2.55e+98) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_1)));
	} else {
		tmp = y4 * (((b * t_1) - (j * (y1 * y3))) + (c * (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 = (t * j) - (y * k)
	tmp = 0
	if y4 <= -8.6e+181:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -7.5e+113:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -5.2e-72:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -8.2e-123:
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	elif y4 <= -3.8e-147:
		tmp = y1 * (k * ((y2 * y4) - (z * i)))
	elif y4 <= -7.8e-173:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y4 <= -4.8e-175:
		tmp = -t * (y4 * (c * y2))
	elif y4 <= -2.8e-201:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= -1.75e-234:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
	elif y4 <= 2.55e+98:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_1)))
	else:
		tmp = y4 * (((b * t_1) - (j * (y1 * y3))) + (c * (y * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (y4 <= -8.6e+181)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -7.5e+113)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -5.2e-72)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -8.2e-123)
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -3.8e-147)
		tmp = Float64(y1 * Float64(k * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y4 <= -7.8e-173)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y4 <= -4.8e-175)
		tmp = Float64(Float64(-t) * Float64(y4 * Float64(c * y2)));
	elseif (y4 <= -2.8e-201)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= -1.75e-234)
		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 (y4 <= 2.55e+98)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_1))));
	else
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) - Float64(j * Float64(y1 * y3))) + Float64(c * 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 = (t * j) - (y * k);
	tmp = 0.0;
	if (y4 <= -8.6e+181)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -7.5e+113)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -5.2e-72)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -8.2e-123)
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	elseif (y4 <= -3.8e-147)
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	elseif (y4 <= -7.8e-173)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y4 <= -4.8e-175)
		tmp = -t * (y4 * (c * y2));
	elseif (y4 <= -2.8e-201)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= -1.75e-234)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	elseif (y4 <= 2.55e+98)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_1)));
	else
		tmp = y4 * (((b * t_1) - (j * (y1 * y3))) + (c * (y * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -8.6e+181], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7.5e+113], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.2e-72], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -8.2e-123], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.8e-147], N[(y1 * N[(k * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7.8e-173], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.8e-175], N[((-t) * N[(y4 * N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.8e-201], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.75e-234], 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[y4, 2.55e+98], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y4 < -8.59999999999999943e181

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -8.59999999999999943e181 < y4 < -7.5000000000000001e113

   1. Initial program 14.6%

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

   3. Taylor expanded in y4 around inf 47.8%

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

   4. Taylor expanded in k around -inf 62.2%

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

      1. mul-1-neg 62.2%

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

      2. *-commutative 62.2%

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

      3. distribute-rgt-neg-in 62.2%

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

      4. +-commutative 62.2%

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

      5. mul-1-neg 62.2%

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

      6. unsub-neg 62.2%

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

      7. *-commutative 62.2%

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

   6. Simplified 62.2%

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

   if -7.5000000000000001e113 < y4 < -5.19999999999999992e-72

   1. Initial program 29.7%

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

   3. Taylor expanded in y1 around inf 34.4%

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

   4. Taylor expanded in z around inf 46.9%

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

   if -5.19999999999999992e-72 < y4 < -8.2000000000000001e-123

   1. Initial program 20.8%

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

   3. Taylor expanded in t around inf 80.4%

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

   4. Taylor expanded in j around 0 80.4%

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

      1. mul-1-neg 80.4%

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

   6. Simplified 80.4%

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

   if -8.2000000000000001e-123 < y4 < -3.80000000000000028e-147

   1. Initial program 49.6%

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

   3. Taylor expanded in y1 around inf 75.4%

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

   4. Taylor expanded in k around inf 75.4%

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

   if -3.80000000000000028e-147 < y4 < -7.79999999999999974e-173

   1. Initial program 14.3%

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

   3. Taylor expanded in y5 around -inf 57.1%

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

   4. Taylor expanded in y0 around inf 71.8%

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

   if -7.79999999999999974e-173 < y4 < -4.8e-175

   1. Initial program 0.0%

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

   3. Taylor expanded in t around inf 50.0%

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

   4. Taylor expanded in y4 around inf 100.0%

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

   5. Taylor expanded in b around 0 100.0%

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

      1. mul-1-neg 100.0%

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

      2. distribute-lft-neg-out 100.0%

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

      3. *-commutative 100.0%

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

   7. Simplified 100.0%

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

   if -4.8e-175 < y4 < -2.7999999999999999e-201

   1. Initial program 40.0%

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

   3. Taylor expanded in b around inf 60.0%

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

   4. Taylor expanded in a around inf 100.0%

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

   if -2.7999999999999999e-201 < y4 < -1.7500000000000001e-234

   1. Initial program 57.0%

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

   3. Taylor expanded in x around inf 71.7%

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

   if -1.7500000000000001e-234 < y4 < 2.54999999999999994e98

   1. Initial program 36.6%

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

   3. Taylor expanded in i around -inf 53.0%

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

   if 2.54999999999999994e98 < y4

   1. Initial program 19.0%

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

   3. Taylor expanded in y4 around inf 67.0%

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

   4. Taylor expanded in y2 around 0 70.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + b \cdot \left(j \cdot t - k \cdot y\right)\right) - -1 \cdot \left(c \cdot \left(y \cdot y3\right)\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 60.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -8.6 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -7.5 \cdot 10^{+113}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -5.2 \cdot 10^{-72}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -8.2 \cdot 10^{-123}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -3.8 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -7.8 \cdot 10^{-173}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.8 \cdot 10^{-175}:\\ \;\;\;\;\left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{-201}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{-234}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 2.55 \cdot 10^{+98}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 39.7% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := t \cdot j - y \cdot k\\ t_4 := b \cdot t\_3\\ t_5 := c \cdot \left(y \cdot y3 - t \cdot y2\right)\\ t_6 := k \cdot \left(y1 \cdot y2\right)\\ t_7 := j \cdot \left(y1 \cdot y3\right)\\ \mathbf{if}\;y4 \leq -8.5 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.6 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(t\_4 + t\_6\right) - t\_7\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{+148}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot t\_3\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-72}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot t\_2 + y4 \cdot \left(t\_4 + t\_5\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-122}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{-162}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot t\_2\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -5 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1\right)\\ \mathbf{elif}\;y4 \leq 6.8 \cdot 10^{+96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(t\_4 + \left(t\_6 - t\_7\right)\right) + t\_5\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (- (* t j) (* y k)))
        (t_4 (* b t_3))
        (t_5 (* c (- (* y y3) (* t y2))))
        (t_6 (* k (* y1 y2)))
        (t_7 (* j (* y1 y3))))
   (if (<= y4 -8.5e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -8.6e+158)
       (* y4 (- (+ t_4 t_6) t_7))
       (if (<= y4 -1e+148)
         (* y2 (* y4 (- (* k y1) (* t c))))
         (if (<= y4 -1.7e+24)
           (* b (+ (+ (* a t_1) (* y4 t_3)) (* y0 (- (* z k) (* x j)))))
           (if (<= y4 -2.15e-72)
             (+ (* (- (* k y2) (* j y3)) t_2) (* y4 (+ t_4 t_5)))
             (if (<= y4 -5.5e-122)
               (* t (+ (* z (- (* c i) (* a b))) (* y2 (- (* a y5) (* c y4)))))
               (if (<= y4 -1.7e-162)
                 (*
                  k
                  (+
                   (+ (* y (- (* i y5) (* b y4))) (* y2 t_2))
                   (* z (- (* b y0) (* i y1)))))
                 (if (<= y4 -5e-243)
                   (* a (* b t_1))
                   (if (<= y4 6.8e+96)
                     (*
                      i
                      (+
                       (* y1 (- (* x j) (* z k)))
                       (- (* c (- (* z t) (* x y))) (* y5 t_3))))
                     (* y4 (+ (+ t_4 (- t_6 t_7)) t_5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (t * j) - (y * k);
	double t_4 = b * t_3;
	double t_5 = c * ((y * y3) - (t * y2));
	double t_6 = k * (y1 * y2);
	double t_7 = j * (y1 * y3);
	double tmp;
	if (y4 <= -8.5e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.6e+158) {
		tmp = y4 * ((t_4 + t_6) - t_7);
	} else if (y4 <= -1e+148) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.7e+24) {
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -2.15e-72) {
		tmp = (((k * y2) - (j * y3)) * t_2) + (y4 * (t_4 + t_5));
	} else if (y4 <= -5.5e-122) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -1.7e-162) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_2)) + (z * ((b * y0) - (i * y1))));
	} else if (y4 <= -5e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 6.8e+96) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)));
	} else {
		tmp = y4 * ((t_4 + (t_6 - t_7)) + t_5);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = (t * j) - (y * k)
    t_4 = b * t_3
    t_5 = c * ((y * y3) - (t * y2))
    t_6 = k * (y1 * y2)
    t_7 = j * (y1 * y3)
    if (y4 <= (-8.5d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-8.6d+158)) then
        tmp = y4 * ((t_4 + t_6) - t_7)
    else if (y4 <= (-1d+148)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-1.7d+24)) then
        tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
    else if (y4 <= (-2.15d-72)) then
        tmp = (((k * y2) - (j * y3)) * t_2) + (y4 * (t_4 + t_5))
    else if (y4 <= (-5.5d-122)) then
        tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    else if (y4 <= (-1.7d-162)) then
        tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_2)) + (z * ((b * y0) - (i * y1))))
    else if (y4 <= (-5d-243)) then
        tmp = a * (b * t_1)
    else if (y4 <= 6.8d+96) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)))
    else
        tmp = y4 * ((t_4 + (t_6 - t_7)) + t_5)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (t * j) - (y * k);
	double t_4 = b * t_3;
	double t_5 = c * ((y * y3) - (t * y2));
	double t_6 = k * (y1 * y2);
	double t_7 = j * (y1 * y3);
	double tmp;
	if (y4 <= -8.5e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.6e+158) {
		tmp = y4 * ((t_4 + t_6) - t_7);
	} else if (y4 <= -1e+148) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.7e+24) {
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -2.15e-72) {
		tmp = (((k * y2) - (j * y3)) * t_2) + (y4 * (t_4 + t_5));
	} else if (y4 <= -5.5e-122) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -1.7e-162) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_2)) + (z * ((b * y0) - (i * y1))));
	} else if (y4 <= -5e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 6.8e+96) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)));
	} else {
		tmp = y4 * ((t_4 + (t_6 - t_7)) + t_5);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = (t * j) - (y * k)
	t_4 = b * t_3
	t_5 = c * ((y * y3) - (t * y2))
	t_6 = k * (y1 * y2)
	t_7 = j * (y1 * y3)
	tmp = 0
	if y4 <= -8.5e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -8.6e+158:
		tmp = y4 * ((t_4 + t_6) - t_7)
	elif y4 <= -1e+148:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -1.7e+24:
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
	elif y4 <= -2.15e-72:
		tmp = (((k * y2) - (j * y3)) * t_2) + (y4 * (t_4 + t_5))
	elif y4 <= -5.5e-122:
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	elif y4 <= -1.7e-162:
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_2)) + (z * ((b * y0) - (i * y1))))
	elif y4 <= -5e-243:
		tmp = a * (b * t_1)
	elif y4 <= 6.8e+96:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)))
	else:
		tmp = y4 * ((t_4 + (t_6 - t_7)) + t_5)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(b * t_3)
	t_5 = Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))
	t_6 = Float64(k * Float64(y1 * y2))
	t_7 = Float64(j * Float64(y1 * y3))
	tmp = 0.0
	if (y4 <= -8.5e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -8.6e+158)
		tmp = Float64(y4 * Float64(Float64(t_4 + t_6) - t_7));
	elseif (y4 <= -1e+148)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -1.7e+24)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_3)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y4 <= -2.15e-72)
		tmp = Float64(Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_2) + Float64(y4 * Float64(t_4 + t_5)));
	elseif (y4 <= -5.5e-122)
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -1.7e-162)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * t_2)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (y4 <= -5e-243)
		tmp = Float64(a * Float64(b * t_1));
	elseif (y4 <= 6.8e+96)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_3))));
	else
		tmp = Float64(y4 * Float64(Float64(t_4 + Float64(t_6 - t_7)) + t_5));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = (t * j) - (y * k);
	t_4 = b * t_3;
	t_5 = c * ((y * y3) - (t * y2));
	t_6 = k * (y1 * y2);
	t_7 = j * (y1 * y3);
	tmp = 0.0;
	if (y4 <= -8.5e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -8.6e+158)
		tmp = y4 * ((t_4 + t_6) - t_7);
	elseif (y4 <= -1e+148)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -1.7e+24)
		tmp = b * (((a * t_1) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	elseif (y4 <= -2.15e-72)
		tmp = (((k * y2) - (j * y3)) * t_2) + (y4 * (t_4 + t_5));
	elseif (y4 <= -5.5e-122)
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	elseif (y4 <= -1.7e-162)
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * t_2)) + (z * ((b * y0) - (i * y1))));
	elseif (y4 <= -5e-243)
		tmp = a * (b * t_1);
	elseif (y4 <= 6.8e+96)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_3)));
	else
		tmp = y4 * ((t_4 + (t_6 - t_7)) + t_5);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(b * t$95$3), $MachinePrecision]}, Block[{t$95$5 = N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -8.5e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -8.6e+158], N[(y4 * N[(N[(t$95$4 + t$95$6), $MachinePrecision] - t$95$7), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1e+148], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.7e+24], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.15e-72], N[(N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] + N[(y4 * N[(t$95$4 + t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.5e-122], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.7e-162], N[(k * N[(N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5e-243], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.8e+96], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(t$95$4 + N[(t$95$6 - t$95$7), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -8.5e182

   1. Initial program 29.6%

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

   3. Taylor expanded in b around inf 45.2%

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

   4. Taylor expanded in y around inf 60.1%

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

      1. +-commutative 60.1%

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

      2. mul-1-neg 60.1%

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

      3. unsub-neg 60.1%

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

   6. Simplified 60.1%

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

   if -8.5e182 < y4 < -8.6e158

   1. Initial program 17.3%

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

   3. Taylor expanded in y4 around inf 41.9%

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

   4. Taylor expanded in k around 0 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in c around 0 75.0%

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

   if -8.6e158 < y4 < -1e148

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 66.7%

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

   4. Taylor expanded in y2 around inf 100.0%

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

   if -1e148 < y4 < -1.7e24

   1. Initial program 22.7%

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

   3. Taylor expanded in b around inf 59.8%

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

   if -1.7e24 < y4 < -2.1499999999999999e-72

   1. Initial program 34.6%

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

   3. Taylor expanded in y4 around inf 54.9%

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

   if -2.1499999999999999e-72 < y4 < -5.50000000000000053e-122

   1. Initial program 12.0%

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

   3. Taylor expanded in t around inf 88.9%

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

   4. Taylor expanded in j around 0 88.9%

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

      1. mul-1-neg 88.9%

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

   6. Simplified 88.9%

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

   if -5.50000000000000053e-122 < y4 < -1.7e-162

   1. Initial program 37.3%

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

   3. Taylor expanded in k around inf 87.3%

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

   if -1.7e-162 < y4 < -5e-243

   1. Initial program 29.9%

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

   3. Taylor expanded in b around inf 40.8%

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

   4. Taylor expanded in a around inf 60.4%

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

   if -5e-243 < y4 < 6.8000000000000002e96

   1. Initial program 37.8%

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

   3. Taylor expanded in i around -inf 53.7%

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

   if 6.8000000000000002e96 < y4

   1. Initial program 19.0%

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

   3. Taylor expanded in y4 around inf 67.0%

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

   4. Taylor expanded in k around 0 71.8%

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

      1. +-commutative 71.8%

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

      2. mul-1-neg 71.8%

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

      3. unsub-neg 71.8%

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

   6. Simplified 71.8%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -8.5 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.6 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{+148}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-72}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-122}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{-162}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -5 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 6.8 \cdot 10^{+96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + \left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 39.7% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := t \cdot j - y \cdot k\\ t_3 := b \cdot t\_2\\ t_4 := k \cdot \left(y1 \cdot y2\right)\\ t_5 := x \cdot j - z \cdot k\\ t_6 := j \cdot \left(y1 \cdot y3\right)\\ \mathbf{if}\;y4 \leq -6.5 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.5 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(t\_3 + t\_4\right) - t\_6\right)\\ \mathbf{elif}\;y4 \leq -1.9 \cdot 10^{+151}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -3 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot t\_2\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -2.9 \cdot 10^{-30}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot t\_5\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -9.5 \cdot 10^{-164}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -7 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1\right)\\ \mathbf{elif}\;y4 \leq 6.3 \cdot 10^{+97}:\\ \;\;\;\;i \cdot \left(y1 \cdot t\_5 + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(t\_3 + \left(t\_4 - t\_6\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (- (* t j) (* y k)))
        (t_3 (* b t_2))
        (t_4 (* k (* y1 y2)))
        (t_5 (- (* x j) (* z k)))
        (t_6 (* j (* y1 y3))))
   (if (<= y4 -6.5e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -8.5e+158)
       (* y4 (- (+ t_3 t_4) t_6))
       (if (<= y4 -1.9e+151)
         (* y2 (* y4 (- (* k y1) (* t c))))
         (if (<= y4 -3e+24)
           (* b (+ (+ (* a t_1) (* y4 t_2)) (* y0 (- (* z k) (* x j)))))
           (if (<= y4 -2.9e-30)
             (*
              y1
              (+
               (+ (* a (- (* z y3) (* x y2))) (* y4 (- (* k y2) (* j y3))))
               (* i t_5)))
             (if (<= y4 -5.5e-121)
               (*
                t
                (+
                 (+ (* z (- (* c i) (* a b))) (* j (- (* b y4) (* i y5))))
                 (* y2 (- (* a y5) (* c y4)))))
               (if (<= y4 -9.5e-164)
                 (*
                  k
                  (+
                   (+
                    (* y (- (* i y5) (* b y4)))
                    (* y2 (- (* y1 y4) (* y0 y5))))
                   (* z (- (* b y0) (* i y1)))))
                 (if (<= y4 -7e-243)
                   (* a (* b t_1))
                   (if (<= y4 6.3e+97)
                     (*
                      i
                      (+ (* y1 t_5) (- (* c (- (* z t) (* x y))) (* y5 t_2))))
                     (*
                      y4
                      (+
                       (+ t_3 (- t_4 t_6))
                       (* c (- (* 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 = (x * y) - (z * t);
	double t_2 = (t * j) - (y * k);
	double t_3 = b * t_2;
	double t_4 = k * (y1 * y2);
	double t_5 = (x * j) - (z * k);
	double t_6 = j * (y1 * y3);
	double tmp;
	if (y4 <= -6.5e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.5e+158) {
		tmp = y4 * ((t_3 + t_4) - t_6);
	} else if (y4 <= -1.9e+151) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -3e+24) {
		tmp = b * (((a * t_1) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -2.9e-30) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_5));
	} else if (y4 <= -5.5e-121) {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -9.5e-164) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))));
	} else if (y4 <= -7e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 6.3e+97) {
		tmp = i * ((y1 * t_5) + ((c * ((z * t) - (x * y))) - (y5 * t_2)));
	} else {
		tmp = y4 * ((t_3 + (t_4 - t_6)) + (c * ((y * y3) - (t * y2))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = (t * j) - (y * k)
    t_3 = b * t_2
    t_4 = k * (y1 * y2)
    t_5 = (x * j) - (z * k)
    t_6 = j * (y1 * y3)
    if (y4 <= (-6.5d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-8.5d+158)) then
        tmp = y4 * ((t_3 + t_4) - t_6)
    else if (y4 <= (-1.9d+151)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-3d+24)) then
        tmp = b * (((a * t_1) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))))
    else if (y4 <= (-2.9d-30)) then
        tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_5))
    else if (y4 <= (-5.5d-121)) then
        tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * ((a * y5) - (c * y4))))
    else if (y4 <= (-9.5d-164)) then
        tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))))
    else if (y4 <= (-7d-243)) then
        tmp = a * (b * t_1)
    else if (y4 <= 6.3d+97) then
        tmp = i * ((y1 * t_5) + ((c * ((z * t) - (x * y))) - (y5 * t_2)))
    else
        tmp = y4 * ((t_3 + (t_4 - t_6)) + (c * ((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 = (x * y) - (z * t);
	double t_2 = (t * j) - (y * k);
	double t_3 = b * t_2;
	double t_4 = k * (y1 * y2);
	double t_5 = (x * j) - (z * k);
	double t_6 = j * (y1 * y3);
	double tmp;
	if (y4 <= -6.5e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.5e+158) {
		tmp = y4 * ((t_3 + t_4) - t_6);
	} else if (y4 <= -1.9e+151) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -3e+24) {
		tmp = b * (((a * t_1) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -2.9e-30) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_5));
	} else if (y4 <= -5.5e-121) {
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -9.5e-164) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))));
	} else if (y4 <= -7e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 6.3e+97) {
		tmp = i * ((y1 * t_5) + ((c * ((z * t) - (x * y))) - (y5 * t_2)));
	} else {
		tmp = y4 * ((t_3 + (t_4 - t_6)) + (c * ((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 = (x * y) - (z * t)
	t_2 = (t * j) - (y * k)
	t_3 = b * t_2
	t_4 = k * (y1 * y2)
	t_5 = (x * j) - (z * k)
	t_6 = j * (y1 * y3)
	tmp = 0
	if y4 <= -6.5e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -8.5e+158:
		tmp = y4 * ((t_3 + t_4) - t_6)
	elif y4 <= -1.9e+151:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -3e+24:
		tmp = b * (((a * t_1) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))))
	elif y4 <= -2.9e-30:
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_5))
	elif y4 <= -5.5e-121:
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * ((a * y5) - (c * y4))))
	elif y4 <= -9.5e-164:
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))))
	elif y4 <= -7e-243:
		tmp = a * (b * t_1)
	elif y4 <= 6.3e+97:
		tmp = i * ((y1 * t_5) + ((c * ((z * t) - (x * y))) - (y5 * t_2)))
	else:
		tmp = y4 * ((t_3 + (t_4 - t_6)) + (c * ((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(x * y) - Float64(z * t))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(b * t_2)
	t_4 = Float64(k * Float64(y1 * y2))
	t_5 = Float64(Float64(x * j) - Float64(z * k))
	t_6 = Float64(j * Float64(y1 * y3))
	tmp = 0.0
	if (y4 <= -6.5e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -8.5e+158)
		tmp = Float64(y4 * Float64(Float64(t_3 + t_4) - t_6));
	elseif (y4 <= -1.9e+151)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -3e+24)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_2)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y4 <= -2.9e-30)
		tmp = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(i * t_5)));
	elseif (y4 <= -5.5e-121)
		tmp = Float64(t * Float64(Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -9.5e-164)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (y4 <= -7e-243)
		tmp = Float64(a * Float64(b * t_1));
	elseif (y4 <= 6.3e+97)
		tmp = Float64(i * Float64(Float64(y1 * t_5) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_2))));
	else
		tmp = Float64(y4 * Float64(Float64(t_3 + Float64(t_4 - t_6)) + Float64(c * 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 = (x * y) - (z * t);
	t_2 = (t * j) - (y * k);
	t_3 = b * t_2;
	t_4 = k * (y1 * y2);
	t_5 = (x * j) - (z * k);
	t_6 = j * (y1 * y3);
	tmp = 0.0;
	if (y4 <= -6.5e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -8.5e+158)
		tmp = y4 * ((t_3 + t_4) - t_6);
	elseif (y4 <= -1.9e+151)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -3e+24)
		tmp = b * (((a * t_1) + (y4 * t_2)) + (y0 * ((z * k) - (x * j))));
	elseif (y4 <= -2.9e-30)
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_5));
	elseif (y4 <= -5.5e-121)
		tmp = t * (((z * ((c * i) - (a * b))) + (j * ((b * y4) - (i * y5)))) + (y2 * ((a * y5) - (c * y4))));
	elseif (y4 <= -9.5e-164)
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))));
	elseif (y4 <= -7e-243)
		tmp = a * (b * t_1);
	elseif (y4 <= 6.3e+97)
		tmp = i * ((y1 * t_5) + ((c * ((z * t) - (x * y))) - (y5 * t_2)));
	else
		tmp = y4 * ((t_3 + (t_4 - t_6)) + (c * ((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[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(b * t$95$2), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -6.5e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -8.5e+158], N[(y4 * N[(N[(t$95$3 + t$95$4), $MachinePrecision] - t$95$6), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.9e+151], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3e+24], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.9e-30], N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.5e-121], N[(t * N[(N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -9.5e-164], N[(k * N[(N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7e-243], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.3e+97], N[(i * N[(N[(y1 * t$95$5), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(t$95$3 + N[(t$95$4 - t$95$6), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -6.4999999999999998e182

   1. Initial program 29.6%

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

   3. Taylor expanded in b around inf 45.2%

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

   4. Taylor expanded in y around inf 60.1%

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

      1. +-commutative 60.1%

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

      2. mul-1-neg 60.1%

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

      3. unsub-neg 60.1%

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

   6. Simplified 60.1%

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

   if -6.4999999999999998e182 < y4 < -8.49999999999999978e158

   1. Initial program 17.3%

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

   3. Taylor expanded in y4 around inf 41.9%

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

   4. Taylor expanded in k around 0 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in c around 0 75.0%

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

   if -8.49999999999999978e158 < y4 < -1.9e151

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 66.7%

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

   4. Taylor expanded in y2 around inf 100.0%

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

   if -1.9e151 < y4 < -2.99999999999999995e24

   1. Initial program 23.8%

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

   3. Taylor expanded in b around inf 62.4%

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

   if -2.99999999999999995e24 < y4 < -2.89999999999999989e-30

   1. Initial program 46.0%

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

   3. Taylor expanded in y1 around inf 65.2%

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

   if -2.89999999999999989e-30 < y4 < -5.50000000000000031e-121

   1. Initial program 15.3%

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

   3. Taylor expanded in t around inf 60.2%

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

   if -5.50000000000000031e-121 < y4 < -9.5000000000000001e-164

   1. Initial program 37.3%

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

   3. Taylor expanded in k around inf 87.3%

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

   if -9.5000000000000001e-164 < y4 < -6.99999999999999958e-243

   1. Initial program 29.9%

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

   3. Taylor expanded in b around inf 40.8%

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

   4. Taylor expanded in a around inf 60.4%

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

   if -6.99999999999999958e-243 < y4 < 6.29999999999999997e97

   1. Initial program 37.8%

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

   3. Taylor expanded in i around -inf 53.7%

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

   if 6.29999999999999997e97 < y4

   1. Initial program 19.0%

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

   3. Taylor expanded in y4 around inf 67.0%

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

   4. Taylor expanded in k around 0 71.8%

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

      1. +-commutative 71.8%

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

      2. mul-1-neg 71.8%

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

      3. unsub-neg 71.8%

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

   6. Simplified 71.8%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -6.5 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.5 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -1.9 \cdot 10^{+151}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -3 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -2.9 \cdot 10^{-30}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(\left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -9.5 \cdot 10^{-164}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -7 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 6.3 \cdot 10^{+97}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + \left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 39.5% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := k \cdot \left(y1 \cdot y2\right)\\ t_3 := j \cdot \left(y1 \cdot y3\right)\\ t_4 := t \cdot j - y \cdot k\\ t_5 := b \cdot t\_4\\ t_6 := c \cdot \left(y \cdot y3 - t \cdot y2\right)\\ \mathbf{if}\;y4 \leq -9 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.5 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + t\_2\right) - t\_3\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{+148}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot t\_4\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{-44}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + t\_6\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.9 \cdot 10^{-163}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -5.8 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{+95}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + \left(t\_2 - t\_3\right)\right) + t\_6\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (* k (* y1 y2)))
        (t_3 (* j (* y1 y3)))
        (t_4 (- (* t j) (* y k)))
        (t_5 (* b t_4))
        (t_6 (* c (- (* y y3) (* t y2)))))
   (if (<= y4 -9e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -8.5e+158)
       (* y4 (- (+ t_5 t_2) t_3))
       (if (<= y4 -9e+148)
         (* y2 (* y4 (- (* k y1) (* t c))))
         (if (<= y4 -1.3e+24)
           (* b (+ (+ (* a t_1) (* y4 t_4)) (* y0 (- (* z k) (* x j)))))
           (if (<= y4 -1.3e-44)
             (* y4 (+ (+ t_5 (* y1 (- (* k y2) (* j y3)))) t_6))
             (if (<= y4 -1.8e-121)
               (* t (+ (* z (- (* c i) (* a b))) (* y2 (- (* a y5) (* c y4)))))
               (if (<= y4 -2.9e-163)
                 (*
                  k
                  (+
                   (+
                    (* y (- (* i y5) (* b y4)))
                    (* y2 (- (* y1 y4) (* y0 y5))))
                   (* z (- (* b y0) (* i y1)))))
                 (if (<= y4 -5.8e-243)
                   (* a (* b t_1))
                   (if (<= y4 9.5e+95)
                     (*
                      i
                      (+
                       (* y1 (- (* x j) (* z k)))
                       (- (* c (- (* z t) (* x y))) (* y5 t_4))))
                     (* y4 (+ (+ t_5 (- t_2 t_3)) t_6)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = k * (y1 * y2);
	double t_3 = j * (y1 * y3);
	double t_4 = (t * j) - (y * k);
	double t_5 = b * t_4;
	double t_6 = c * ((y * y3) - (t * y2));
	double tmp;
	if (y4 <= -9e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.5e+158) {
		tmp = y4 * ((t_5 + t_2) - t_3);
	} else if (y4 <= -9e+148) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.3e+24) {
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -1.3e-44) {
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	} else if (y4 <= -1.8e-121) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -2.9e-163) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))));
	} else if (y4 <= -5.8e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 9.5e+95) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)));
	} else {
		tmp = y4 * ((t_5 + (t_2 - t_3)) + 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) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = k * (y1 * y2)
    t_3 = j * (y1 * y3)
    t_4 = (t * j) - (y * k)
    t_5 = b * t_4
    t_6 = c * ((y * y3) - (t * y2))
    if (y4 <= (-9d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-8.5d+158)) then
        tmp = y4 * ((t_5 + t_2) - t_3)
    else if (y4 <= (-9d+148)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-1.3d+24)) then
        tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
    else if (y4 <= (-1.3d-44)) then
        tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6)
    else if (y4 <= (-1.8d-121)) then
        tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    else if (y4 <= (-2.9d-163)) then
        tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))))
    else if (y4 <= (-5.8d-243)) then
        tmp = a * (b * t_1)
    else if (y4 <= 9.5d+95) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)))
    else
        tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = k * (y1 * y2);
	double t_3 = j * (y1 * y3);
	double t_4 = (t * j) - (y * k);
	double t_5 = b * t_4;
	double t_6 = c * ((y * y3) - (t * y2));
	double tmp;
	if (y4 <= -9e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.5e+158) {
		tmp = y4 * ((t_5 + t_2) - t_3);
	} else if (y4 <= -9e+148) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.3e+24) {
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -1.3e-44) {
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	} else if (y4 <= -1.8e-121) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -2.9e-163) {
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))));
	} else if (y4 <= -5.8e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 9.5e+95) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)));
	} else {
		tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = k * (y1 * y2)
	t_3 = j * (y1 * y3)
	t_4 = (t * j) - (y * k)
	t_5 = b * t_4
	t_6 = c * ((y * y3) - (t * y2))
	tmp = 0
	if y4 <= -9e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -8.5e+158:
		tmp = y4 * ((t_5 + t_2) - t_3)
	elif y4 <= -9e+148:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -1.3e+24:
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
	elif y4 <= -1.3e-44:
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6)
	elif y4 <= -1.8e-121:
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	elif y4 <= -2.9e-163:
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))))
	elif y4 <= -5.8e-243:
		tmp = a * (b * t_1)
	elif y4 <= 9.5e+95:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)))
	else:
		tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(k * Float64(y1 * y2))
	t_3 = Float64(j * Float64(y1 * y3))
	t_4 = Float64(Float64(t * j) - Float64(y * k))
	t_5 = Float64(b * t_4)
	t_6 = Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))
	tmp = 0.0
	if (y4 <= -9e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -8.5e+158)
		tmp = Float64(y4 * Float64(Float64(t_5 + t_2) - t_3));
	elseif (y4 <= -9e+148)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -1.3e+24)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_4)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y4 <= -1.3e-44)
		tmp = Float64(y4 * Float64(Float64(t_5 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + t_6));
	elseif (y4 <= -1.8e-121)
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -2.9e-163)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (y4 <= -5.8e-243)
		tmp = Float64(a * Float64(b * t_1));
	elseif (y4 <= 9.5e+95)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_4))));
	else
		tmp = Float64(y4 * Float64(Float64(t_5 + Float64(t_2 - t_3)) + t_6));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = k * (y1 * y2);
	t_3 = j * (y1 * y3);
	t_4 = (t * j) - (y * k);
	t_5 = b * t_4;
	t_6 = c * ((y * y3) - (t * y2));
	tmp = 0.0;
	if (y4 <= -9e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -8.5e+158)
		tmp = y4 * ((t_5 + t_2) - t_3);
	elseif (y4 <= -9e+148)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -1.3e+24)
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	elseif (y4 <= -1.3e-44)
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	elseif (y4 <= -1.8e-121)
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	elseif (y4 <= -2.9e-163)
		tmp = k * (((y * ((i * y5) - (b * y4))) + (y2 * ((y1 * y4) - (y0 * y5)))) + (z * ((b * y0) - (i * y1))));
	elseif (y4 <= -5.8e-243)
		tmp = a * (b * t_1);
	elseif (y4 <= 9.5e+95)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)));
	else
		tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(b * t$95$4), $MachinePrecision]}, Block[{t$95$6 = N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -9e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -8.5e+158], N[(y4 * N[(N[(t$95$5 + t$95$2), $MachinePrecision] - t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -9e+148], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.3e+24], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.3e-44], N[(y4 * N[(N[(t$95$5 + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.8e-121], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.9e-163], N[(k * N[(N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.8e-243], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9.5e+95], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(t$95$5 + N[(t$95$2 - t$95$3), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -9.00000000000000058e182

   1. Initial program 29.6%

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

   3. Taylor expanded in b around inf 45.2%

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

   4. Taylor expanded in y around inf 60.1%

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

      1. +-commutative 60.1%

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

      2. mul-1-neg 60.1%

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

      3. unsub-neg 60.1%

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

   6. Simplified 60.1%

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

   if -9.00000000000000058e182 < y4 < -8.49999999999999978e158

   1. Initial program 17.3%

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

   3. Taylor expanded in y4 around inf 41.9%

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

   4. Taylor expanded in k around 0 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in c around 0 75.0%

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

   if -8.49999999999999978e158 < y4 < -8.99999999999999987e148

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 66.7%

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

   4. Taylor expanded in y2 around inf 100.0%

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

   if -8.99999999999999987e148 < y4 < -1.2999999999999999e24

   1. Initial program 22.7%

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

   3. Taylor expanded in b around inf 59.8%

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

   if -1.2999999999999999e24 < y4 < -1.2999999999999999e-44

   1. Initial program 49.8%

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

   3. Taylor expanded in y4 around inf 53.9%

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

   if -1.2999999999999999e-44 < y4 < -1.79999999999999992e-121

   1. Initial program 11.6%

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

   3. Taylor expanded in t around inf 61.4%

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

   4. Taylor expanded in j around 0 61.4%

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

      1. mul-1-neg 61.4%

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

   6. Simplified 61.4%

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

   if -1.79999999999999992e-121 < y4 < -2.9000000000000001e-163

   1. Initial program 37.3%

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

   3. Taylor expanded in k around inf 87.3%

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

   if -2.9000000000000001e-163 < y4 < -5.79999999999999953e-243

   1. Initial program 29.9%

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

   3. Taylor expanded in b around inf 40.8%

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

   4. Taylor expanded in a around inf 60.4%

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

   if -5.79999999999999953e-243 < y4 < 9.5000000000000004e95

   1. Initial program 37.8%

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

   3. Taylor expanded in i around -inf 53.7%

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

   if 9.5000000000000004e95 < y4

   1. Initial program 19.0%

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

   3. Taylor expanded in y4 around inf 67.0%

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

   4. Taylor expanded in k around 0 71.8%

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

      1. +-commutative 71.8%

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

      2. mul-1-neg 71.8%

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

      3. unsub-neg 71.8%

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

   6. Simplified 71.8%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 61.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -9 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.5 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{+148}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{-44}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.9 \cdot 10^{-163}:\\ \;\;\;\;k \cdot \left(\left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq -5.8 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{+95}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + \left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 39.8% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := k \cdot \left(y1 \cdot y2\right)\\ t_3 := j \cdot \left(y1 \cdot y3\right)\\ t_4 := t \cdot j - y \cdot k\\ t_5 := b \cdot t\_4\\ t_6 := c \cdot \left(y \cdot y3 - t \cdot y2\right)\\ \mathbf{if}\;y4 \leq -6.8 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.6 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + t\_2\right) - t\_3\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{+149}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot t\_4\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-42}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + t\_6\right)\\ \mathbf{elif}\;y4 \leq -9.5 \cdot 10^{-164}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot t\_1\right)\\ \mathbf{elif}\;y4 \leq 1.76 \cdot 10^{+96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot t\_4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(t\_5 + \left(t\_2 - t\_3\right)\right) + t\_6\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (* k (* y1 y2)))
        (t_3 (* j (* y1 y3)))
        (t_4 (- (* t j) (* y k)))
        (t_5 (* b t_4))
        (t_6 (* c (- (* y y3) (* t y2)))))
   (if (<= y4 -6.8e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -8.6e+158)
       (* y4 (- (+ t_5 t_2) t_3))
       (if (<= y4 -3.5e+149)
         (* y2 (* y4 (- (* k y1) (* t c))))
         (if (<= y4 -1.3e+24)
           (* b (+ (+ (* a t_1) (* y4 t_4)) (* y0 (- (* z k) (* x j)))))
           (if (<= y4 -2.15e-42)
             (* y4 (+ (+ t_5 (* y1 (- (* k y2) (* j y3)))) t_6))
             (if (<= y4 -9.5e-164)
               (*
                y2
                (+
                 (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= y4 -6e-243)
                 (* a (* b t_1))
                 (if (<= y4 1.76e+96)
                   (*
                    i
                    (+
                     (* y1 (- (* x j) (* z k)))
                     (- (* c (- (* z t) (* x y))) (* y5 t_4))))
                   (* y4 (+ (+ t_5 (- t_2 t_3)) t_6))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = k * (y1 * y2);
	double t_3 = j * (y1 * y3);
	double t_4 = (t * j) - (y * k);
	double t_5 = b * t_4;
	double t_6 = c * ((y * y3) - (t * y2));
	double tmp;
	if (y4 <= -6.8e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.6e+158) {
		tmp = y4 * ((t_5 + t_2) - t_3);
	} else if (y4 <= -3.5e+149) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.3e+24) {
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -2.15e-42) {
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	} else if (y4 <= -9.5e-164) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= -6e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 1.76e+96) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)));
	} else {
		tmp = y4 * ((t_5 + (t_2 - t_3)) + 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) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = k * (y1 * y2)
    t_3 = j * (y1 * y3)
    t_4 = (t * j) - (y * k)
    t_5 = b * t_4
    t_6 = c * ((y * y3) - (t * y2))
    if (y4 <= (-6.8d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-8.6d+158)) then
        tmp = y4 * ((t_5 + t_2) - t_3)
    else if (y4 <= (-3.5d+149)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-1.3d+24)) then
        tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
    else if (y4 <= (-2.15d-42)) then
        tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6)
    else if (y4 <= (-9.5d-164)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= (-6d-243)) then
        tmp = a * (b * t_1)
    else if (y4 <= 1.76d+96) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)))
    else
        tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) - (z * t);
	double t_2 = k * (y1 * y2);
	double t_3 = j * (y1 * y3);
	double t_4 = (t * j) - (y * k);
	double t_5 = b * t_4;
	double t_6 = c * ((y * y3) - (t * y2));
	double tmp;
	if (y4 <= -6.8e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -8.6e+158) {
		tmp = y4 * ((t_5 + t_2) - t_3);
	} else if (y4 <= -3.5e+149) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.3e+24) {
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= -2.15e-42) {
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	} else if (y4 <= -9.5e-164) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= -6e-243) {
		tmp = a * (b * t_1);
	} else if (y4 <= 1.76e+96) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)));
	} else {
		tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = k * (y1 * y2)
	t_3 = j * (y1 * y3)
	t_4 = (t * j) - (y * k)
	t_5 = b * t_4
	t_6 = c * ((y * y3) - (t * y2))
	tmp = 0
	if y4 <= -6.8e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -8.6e+158:
		tmp = y4 * ((t_5 + t_2) - t_3)
	elif y4 <= -3.5e+149:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -1.3e+24:
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))))
	elif y4 <= -2.15e-42:
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6)
	elif y4 <= -9.5e-164:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y4 <= -6e-243:
		tmp = a * (b * t_1)
	elif y4 <= 1.76e+96:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)))
	else:
		tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(k * Float64(y1 * y2))
	t_3 = Float64(j * Float64(y1 * y3))
	t_4 = Float64(Float64(t * j) - Float64(y * k))
	t_5 = Float64(b * t_4)
	t_6 = Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))
	tmp = 0.0
	if (y4 <= -6.8e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -8.6e+158)
		tmp = Float64(y4 * Float64(Float64(t_5 + t_2) - t_3));
	elseif (y4 <= -3.5e+149)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -1.3e+24)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_4)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y4 <= -2.15e-42)
		tmp = Float64(y4 * Float64(Float64(t_5 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + t_6));
	elseif (y4 <= -9.5e-164)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -6e-243)
		tmp = Float64(a * Float64(b * t_1));
	elseif (y4 <= 1.76e+96)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) - Float64(y5 * t_4))));
	else
		tmp = Float64(y4 * Float64(Float64(t_5 + Float64(t_2 - t_3)) + t_6));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) - (z * t);
	t_2 = k * (y1 * y2);
	t_3 = j * (y1 * y3);
	t_4 = (t * j) - (y * k);
	t_5 = b * t_4;
	t_6 = c * ((y * y3) - (t * y2));
	tmp = 0.0;
	if (y4 <= -6.8e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -8.6e+158)
		tmp = y4 * ((t_5 + t_2) - t_3);
	elseif (y4 <= -3.5e+149)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -1.3e+24)
		tmp = b * (((a * t_1) + (y4 * t_4)) + (y0 * ((z * k) - (x * j))));
	elseif (y4 <= -2.15e-42)
		tmp = y4 * ((t_5 + (y1 * ((k * y2) - (j * y3)))) + t_6);
	elseif (y4 <= -9.5e-164)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= -6e-243)
		tmp = a * (b * t_1);
	elseif (y4 <= 1.76e+96)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) - (y5 * t_4)));
	else
		tmp = y4 * ((t_5 + (t_2 - t_3)) + t_6);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(b * t$95$4), $MachinePrecision]}, Block[{t$95$6 = N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -6.8e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -8.6e+158], N[(y4 * N[(N[(t$95$5 + t$95$2), $MachinePrecision] - t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.5e+149], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.3e+24], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.15e-42], N[(y4 * N[(N[(t$95$5 + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -9.5e-164], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6e-243], N[(a * N[(b * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.76e+96], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(t$95$5 + N[(t$95$2 - t$95$3), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -6.79999999999999973e182

   1. Initial program 29.6%

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

   3. Taylor expanded in b around inf 45.2%

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

   4. Taylor expanded in y around inf 60.1%

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

      1. +-commutative 60.1%

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

      2. mul-1-neg 60.1%

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

      3. unsub-neg 60.1%

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

   6. Simplified 60.1%

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

   if -6.79999999999999973e182 < y4 < -8.6e158

   1. Initial program 17.3%

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

   3. Taylor expanded in y4 around inf 41.9%

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

   4. Taylor expanded in k around 0 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

   6. Simplified 50.0%

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

   7. Taylor expanded in c around 0 75.0%

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

   if -8.6e158 < y4 < -3.50000000000000011e149

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 66.7%

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

   4. Taylor expanded in y2 around inf 100.0%

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

   if -3.50000000000000011e149 < y4 < -1.2999999999999999e24

   1. Initial program 22.7%

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

   3. Taylor expanded in b around inf 59.8%

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

   if -1.2999999999999999e24 < y4 < -2.1500000000000001e-42

   1. Initial program 49.8%

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

   3. Taylor expanded in y4 around inf 53.9%

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

   if -2.1500000000000001e-42 < y4 < -9.5000000000000001e-164

   1. Initial program 19.5%

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

   3. Taylor expanded in y2 around inf 52.5%

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

   if -9.5000000000000001e-164 < y4 < -6.0000000000000002e-243

   1. Initial program 29.9%

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

   3. Taylor expanded in b around inf 40.8%

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

   4. Taylor expanded in a around inf 60.4%

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

   if -6.0000000000000002e-243 < y4 < 1.7599999999999999e96

   1. Initial program 37.8%

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

   3. Taylor expanded in i around -inf 53.7%

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

   if 1.7599999999999999e96 < y4

   1. Initial program 19.0%

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

   3. Taylor expanded in y4 around inf 67.0%

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

   4. Taylor expanded in k around 0 71.8%

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

      1. +-commutative 71.8%

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

      2. mul-1-neg 71.8%

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

      3. unsub-neg 71.8%

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

   6. Simplified 71.8%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 59.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -6.8 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -8.6 \cdot 10^{+158}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{+149}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-42}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -9.5 \cdot 10^{-164}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 1.76 \cdot 10^{+96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + \left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 31.2% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y4 \leq -9 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -3.1 \cdot 10^{-51}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 1.6 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 10^{-198}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 3.5 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 4.3 \cdot 10^{+16}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 7 \cdot 10^{+100}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y4 -9e+181)
   (* b (* y (- (* x a) (* k y4))))
   (if (<= y4 -6e+115)
     (* k (* y4 (- (* y1 y2) (* y b))))
     (if (<= y4 -3.1e-51)
       (* y1 (* z (- (* a y3) (* i k))))
       (if (<= y4 -9e-195)
         (* t (* z (- (* c i) (* a b))))
         (if (<= y4 1.6e-248)
           (* i (* y (- (* k y5) (* x c))))
           (if (<= y4 1e-198)
             (* y1 (* y2 (- (* k y4) (* x a))))
             (if (<= y4 3.5e-96)
               (* y (* y5 (- (* i k) (* a y3))))
               (if (<= y4 4.3e+16)
                 (* i (* j (- (* x y1) (* t y5))))
                 (if (<= y4 7e+100)
                   (* (- i) (* (* x y) c))
                   (*
                    y4
                    (+
                     (* b (- (* t j) (* y k)))
                     (* y1 (- (* k y2) (* j y3)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -9e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -6e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -3.1e-51) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -9e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 1.6e-248) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (y4 <= 1e-198) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 3.5e-96) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y4 <= 4.3e+16) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 7e+100) {
		tmp = -i * ((x * y) * c);
	} else {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y4 <= (-9d+181)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-6d+115)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-3.1d-51)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-9d-195)) then
        tmp = t * (z * ((c * i) - (a * b)))
    else if (y4 <= 1.6d-248) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else if (y4 <= 1d-198) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y4 <= 3.5d-96) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y4 <= 4.3d+16) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y4 <= 7d+100) then
        tmp = -i * ((x * y) * c)
    else
        tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -9e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -6e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -3.1e-51) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -9e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 1.6e-248) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (y4 <= 1e-198) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 3.5e-96) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y4 <= 4.3e+16) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 7e+100) {
		tmp = -i * ((x * y) * c);
	} else {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y4 <= -9e+181:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -6e+115:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -3.1e-51:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -9e-195:
		tmp = t * (z * ((c * i) - (a * b)))
	elif y4 <= 1.6e-248:
		tmp = i * (y * ((k * y5) - (x * c)))
	elif y4 <= 1e-198:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y4 <= 3.5e-96:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y4 <= 4.3e+16:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y4 <= 7e+100:
		tmp = -i * ((x * y) * c)
	else:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y4 <= -9e+181)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -6e+115)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -3.1e-51)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -9e-195)
		tmp = Float64(t * Float64(z * Float64(Float64(c * i) - Float64(a * b))));
	elseif (y4 <= 1.6e-248)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (y4 <= 1e-198)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y4 <= 3.5e-96)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y4 <= 4.3e+16)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y4 <= 7e+100)
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	else
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y4 <= -9e+181)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -6e+115)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -3.1e-51)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -9e-195)
		tmp = t * (z * ((c * i) - (a * b)));
	elseif (y4 <= 1.6e-248)
		tmp = i * (y * ((k * y5) - (x * c)));
	elseif (y4 <= 1e-198)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y4 <= 3.5e-96)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y4 <= 4.3e+16)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y4 <= 7e+100)
		tmp = -i * ((x * y) * c);
	else
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y4, -9e+181], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6e+115], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.1e-51], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -9e-195], N[(t * N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.6e-248], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1e-198], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.5e-96], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.3e+16], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7e+100], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -9e181

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -9e181 < y4 < -6.0000000000000001e115

   1. Initial program 15.3%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in k around -inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. distribute-rgt-neg-in 65.3%

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

      4. +-commutative 65.3%

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

      5. mul-1-neg 65.3%

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

      6. unsub-neg 65.3%

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

      7. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -6.0000000000000001e115 < y4 < -3.0999999999999997e-51

   1. Initial program 35.4%

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

   3. Taylor expanded in y1 around inf 37.7%

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

   4. Taylor expanded in z around inf 46.2%

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

   if -3.0999999999999997e-51 < y4 < -9e-195

   1. Initial program 20.8%

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

   3. Taylor expanded in t around inf 47.5%

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

   4. Taylor expanded in z around inf 47.9%

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

      1. mul-1-neg 47.9%

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

   6. Simplified 47.9%

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

   if -9e-195 < y4 < 1.60000000000000009e-248

   1. Initial program 46.4%

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

   3. Taylor expanded in i around -inf 54.1%

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

   4. Taylor expanded in y around inf 52.3%

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

      1. +-commutative 52.3%

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

      2. mul-1-neg 52.3%

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

      3. unsub-neg 52.3%

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

   6. Simplified 52.3%

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

   if 1.60000000000000009e-248 < y4 < 9.9999999999999991e-199

   1. Initial program 30.0%

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

   3. Taylor expanded in y1 around inf 50.2%

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

   4. Taylor expanded in y2 around inf 51.7%

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

      1. +-commutative 51.7%

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

      2. mul-1-neg 51.7%

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

      3. unsub-neg 51.7%

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

   6. Simplified 51.7%

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

   if 9.9999999999999991e-199 < y4 < 3.4999999999999999e-96

   1. Initial program 53.1%

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

   3. Taylor expanded in y5 around -inf 54.3%

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

   4. Taylor expanded in y around -inf 67.7%

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

      1. mul-1-neg 67.7%

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

   6. Simplified 67.7%

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

   if 3.4999999999999999e-96 < y4 < 4.3e16

   1. Initial program 17.6%

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

   3. Taylor expanded in i around -inf 41.4%

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

   4. Taylor expanded in j around inf 47.7%

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

   if 4.3e16 < y4 < 6.99999999999999953e100

   1. Initial program 26.3%

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

   3. Taylor expanded in i around -inf 47.4%

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

   4. Taylor expanded in y around inf 37.6%

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

      1. +-commutative 37.6%

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

      2. mul-1-neg 37.6%

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

      3. unsub-neg 37.6%

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

   6. Simplified 37.6%

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

   7. Taylor expanded in c around inf 48.2%

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

      1. *-commutative 48.2%

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

   9. Simplified 48.2%

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

   if 6.99999999999999953e100 < y4

   1. Initial program 19.5%

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

   3. Taylor expanded in y4 around inf 66.2%

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

   4. Taylor expanded in c around 0 61.6%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 54.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -9 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -3.1 \cdot 10^{-51}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 1.6 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 10^{-198}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 3.5 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 4.3 \cdot 10^{+16}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 7 \cdot 10^{+100}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 36.5% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := b \cdot \left(t \cdot j - y \cdot k\right)\\ t_3 := y4 \cdot \left(\left(t\_2 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;x \leq -2.1 \cdot 10^{+118}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;x \leq -2.7 \cdot 10^{-80}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_1\right)\\ \mathbf{elif}\;x \leq -1.22 \cdot 10^{-147}:\\ \;\;\;\;y4 \cdot \left(\left(t\_2 + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.08 \cdot 10^{-200}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot t\_1\right)\\ \mathbf{elif}\;x \leq 5.9 \cdot 10^{-224}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{-149}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-6}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+47}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{+190}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y5) (* c y4)))
        (t_2 (* b (- (* t j) (* y k))))
        (t_3
         (*
          y4
          (+
           (+ t_2 (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))))
   (if (<= x -2.1e+118)
     (* i (* x (- (* j y1) (* y c))))
     (if (<= x -2.7e-80)
       (*
        y2
        (+
         (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
         (* t t_1)))
       (if (<= x -1.22e-147)
         (* y4 (- (+ t_2 (* k (* y1 y2))) (* j (* y1 y3))))
         (if (<= x -1.08e-200)
           (* t (+ (* z (- (* c i) (* a b))) (* y2 t_1)))
           (if (<= x 5.9e-224)
             t_3
             (if (<= x 1.35e-149)
               (* b (* k (- (* z y0) (* y y4))))
               (if (<= x 5.8e-6)
                 t_3
                 (if (<= x 2.5e+47)
                   (* i (* j (- (* x y1) (* t y5))))
                   (if (<= x 6.5e+190)
                     (* i (* y (- (* k y5) (* x c))))
                     (* b (* j (- (* t y4) (* x y0)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = b * ((t * j) - (y * k));
	double t_3 = y4 * ((t_2 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (x <= -2.1e+118) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (x <= -2.7e-80) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else if (x <= -1.22e-147) {
		tmp = y4 * ((t_2 + (k * (y1 * y2))) - (j * (y1 * y3)));
	} else if (x <= -1.08e-200) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * t_1));
	} else if (x <= 5.9e-224) {
		tmp = t_3;
	} else if (x <= 1.35e-149) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 5.8e-6) {
		tmp = t_3;
	} else if (x <= 2.5e+47) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (x <= 6.5e+190) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else {
		tmp = b * (j * ((t * y4) - (x * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (a * y5) - (c * y4)
    t_2 = b * ((t * j) - (y * k))
    t_3 = y4 * ((t_2 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    if (x <= (-2.1d+118)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (x <= (-2.7d-80)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
    else if (x <= (-1.22d-147)) then
        tmp = y4 * ((t_2 + (k * (y1 * y2))) - (j * (y1 * y3)))
    else if (x <= (-1.08d-200)) then
        tmp = t * ((z * ((c * i) - (a * b))) + (y2 * t_1))
    else if (x <= 5.9d-224) then
        tmp = t_3
    else if (x <= 1.35d-149) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (x <= 5.8d-6) then
        tmp = t_3
    else if (x <= 2.5d+47) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (x <= 6.5d+190) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else
        tmp = b * (j * ((t * y4) - (x * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = b * ((t * j) - (y * k));
	double t_3 = y4 * ((t_2 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (x <= -2.1e+118) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (x <= -2.7e-80) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else if (x <= -1.22e-147) {
		tmp = y4 * ((t_2 + (k * (y1 * y2))) - (j * (y1 * y3)));
	} else if (x <= -1.08e-200) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * t_1));
	} else if (x <= 5.9e-224) {
		tmp = t_3;
	} else if (x <= 1.35e-149) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 5.8e-6) {
		tmp = t_3;
	} else if (x <= 2.5e+47) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (x <= 6.5e+190) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else {
		tmp = b * (j * ((t * y4) - (x * y0)));
	}
	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) - (c * y4)
	t_2 = b * ((t * j) - (y * k))
	t_3 = y4 * ((t_2 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if x <= -2.1e+118:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif x <= -2.7e-80:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
	elif x <= -1.22e-147:
		tmp = y4 * ((t_2 + (k * (y1 * y2))) - (j * (y1 * y3)))
	elif x <= -1.08e-200:
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * t_1))
	elif x <= 5.9e-224:
		tmp = t_3
	elif x <= 1.35e-149:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif x <= 5.8e-6:
		tmp = t_3
	elif x <= 2.5e+47:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif x <= 6.5e+190:
		tmp = i * (y * ((k * y5) - (x * c)))
	else:
		tmp = b * (j * ((t * y4) - (x * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y5) - Float64(c * y4))
	t_2 = Float64(b * Float64(Float64(t * j) - Float64(y * k)))
	t_3 = Float64(y4 * Float64(Float64(t_2 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (x <= -2.1e+118)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (x <= -2.7e-80)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_1)));
	elseif (x <= -1.22e-147)
		tmp = Float64(y4 * Float64(Float64(t_2 + Float64(k * Float64(y1 * y2))) - Float64(j * Float64(y1 * y3))));
	elseif (x <= -1.08e-200)
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * t_1)));
	elseif (x <= 5.9e-224)
		tmp = t_3;
	elseif (x <= 1.35e-149)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (x <= 5.8e-6)
		tmp = t_3;
	elseif (x <= 2.5e+47)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (x <= 6.5e+190)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	else
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y5) - (c * y4);
	t_2 = b * ((t * j) - (y * k));
	t_3 = y4 * ((t_2 + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (x <= -2.1e+118)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (x <= -2.7e-80)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	elseif (x <= -1.22e-147)
		tmp = y4 * ((t_2 + (k * (y1 * y2))) - (j * (y1 * y3)));
	elseif (x <= -1.08e-200)
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * t_1));
	elseif (x <= 5.9e-224)
		tmp = t_3;
	elseif (x <= 1.35e-149)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (x <= 5.8e-6)
		tmp = t_3;
	elseif (x <= 2.5e+47)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (x <= 6.5e+190)
		tmp = i * (y * ((k * y5) - (x * c)));
	else
		tmp = b * (j * ((t * y4) - (x * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * N[(N[(t$95$2 + 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[x, -2.1e+118], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.7e-80], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.22e-147], N[(y4 * N[(N[(t$95$2 + N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.08e-200], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.9e-224], t$95$3, If[LessEqual[x, 1.35e-149], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.8e-6], t$95$3, If[LessEqual[x, 2.5e+47], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.5e+190], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -2.1e118

   1. Initial program 17.8%

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

   3. Taylor expanded in i around -inf 46.7%

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

   4. Taylor expanded in x around inf 56.0%

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

   if -2.1e118 < x < -2.7000000000000002e-80

   1. Initial program 31.3%

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

   3. Taylor expanded in y2 around inf 67.9%

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

   if -2.7000000000000002e-80 < x < -1.21999999999999995e-147

   1. Initial program 9.0%

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

   3. Taylor expanded in y4 around inf 42.6%

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

   4. Taylor expanded in k around 0 50.7%

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

      1. +-commutative 50.7%

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

      2. mul-1-neg 50.7%

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

      3. unsub-neg 50.7%

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

   6. Simplified 50.7%

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

   7. Taylor expanded in c around 0 83.9%

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

   if -1.21999999999999995e-147 < x < -1.08000000000000002e-200

   1. Initial program 42.9%

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

   3. Taylor expanded in t around inf 57.2%

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

   4. Taylor expanded in j around 0 57.3%

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

      1. mul-1-neg 57.3%

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

   6. Simplified 57.3%

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

   if -1.08000000000000002e-200 < x < 5.9000000000000003e-224 or 1.35000000000000007e-149 < x < 5.8000000000000004e-6

   1. Initial program 44.8%

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

   3. Taylor expanded in y4 around inf 52.9%

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

   if 5.9000000000000003e-224 < x < 1.35000000000000007e-149

   1. Initial program 12.5%

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

   3. Taylor expanded in b around inf 56.6%

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

   4. Taylor expanded in k around -inf 75.0%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 75.0%

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

   6. Simplified 75.0%

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

   if 5.8000000000000004e-6 < x < 2.50000000000000011e47

   1. Initial program 10.0%

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

   3. Taylor expanded in i around -inf 40.0%

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

   4. Taylor expanded in j around inf 70.5%

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

   if 2.50000000000000011e47 < x < 6.5000000000000001e190

   1. Initial program 25.8%

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

   3. Taylor expanded in i around -inf 48.5%

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

   4. Taylor expanded in y around inf 52.4%

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

      1. +-commutative 52.4%

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

      2. mul-1-neg 52.4%

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

      3. unsub-neg 52.4%

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

   6. Simplified 52.4%

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

   if 6.5000000000000001e190 < x

   1. Initial program 29.2%

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

   3. Taylor expanded in b around inf 42.2%

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

   4. Taylor expanded in j around inf 59.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 59.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.1 \cdot 10^{+118}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;x \leq -2.7 \cdot 10^{-80}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -1.22 \cdot 10^{-147}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.08 \cdot 10^{-200}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 5.9 \cdot 10^{-224}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{-149}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-6}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+47}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{+190}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 34.0% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -1.45 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{+112}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -6.8 \cdot 10^{-72}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{-120}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -2.55 \cdot 10^{-162}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -6.4 \cdot 10^{-218}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{-99}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 7.6 \cdot 10^{+87}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (+ (* z (- (* c i) (* a b))) (* y2 (- (* a y5) (* c y4)))))))
   (if (<= y4 -1.45e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -1e+112)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -6.8e-72)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -2e-120)
           t_1
           (if (<= y4 -2.55e-162)
             (* y0 (* y5 (- (* j y3) (* k y2))))
             (if (<= y4 -6.4e-218)
               (* a (* b (- (* x y) (* z t))))
               (if (<= y4 2.7e-99)
                 (* i (* y (- (* k y5) (* x c))))
                 (if (<= y4 7.6e+87)
                   t_1
                   (*
                    y4
                    (-
                     (+ (* b (- (* t j) (* y k))) (* k (* y1 y2)))
                     (* j (* y1 y3))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	double tmp;
	if (y4 <= -1.45e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -1e+112) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -6.8e-72) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2e-120) {
		tmp = t_1;
	} else if (y4 <= -2.55e-162) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -6.4e-218) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 2.7e-99) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (y4 <= 7.6e+87) {
		tmp = t_1;
	} else {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (k * (y1 * y2))) - (j * (y1 * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    if (y4 <= (-1.45d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-1d+112)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-6.8d-72)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-2d-120)) then
        tmp = t_1
    else if (y4 <= (-2.55d-162)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y4 <= (-6.4d-218)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 2.7d-99) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else if (y4 <= 7.6d+87) then
        tmp = t_1
    else
        tmp = y4 * (((b * ((t * j) - (y * k))) + (k * (y1 * y2))) - (j * (y1 * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	double tmp;
	if (y4 <= -1.45e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -1e+112) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -6.8e-72) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2e-120) {
		tmp = t_1;
	} else if (y4 <= -2.55e-162) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -6.4e-218) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 2.7e-99) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (y4 <= 7.6e+87) {
		tmp = t_1;
	} else {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (k * (y1 * y2))) - (j * (y1 * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	tmp = 0
	if y4 <= -1.45e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -1e+112:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -6.8e-72:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -2e-120:
		tmp = t_1
	elif y4 <= -2.55e-162:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y4 <= -6.4e-218:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 2.7e-99:
		tmp = i * (y * ((k * y5) - (x * c)))
	elif y4 <= 7.6e+87:
		tmp = t_1
	else:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (k * (y1 * y2))) - (j * (y1 * 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(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (y4 <= -1.45e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -1e+112)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -6.8e-72)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -2e-120)
		tmp = t_1;
	elseif (y4 <= -2.55e-162)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y4 <= -6.4e-218)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 2.7e-99)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (y4 <= 7.6e+87)
		tmp = t_1;
	else
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(k * Float64(y1 * y2))) - Float64(j * Float64(y1 * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (y4 <= -1.45e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -1e+112)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -6.8e-72)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -2e-120)
		tmp = t_1;
	elseif (y4 <= -2.55e-162)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y4 <= -6.4e-218)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 2.7e-99)
		tmp = i * (y * ((k * y5) - (x * c)));
	elseif (y4 <= 7.6e+87)
		tmp = t_1;
	else
		tmp = y4 * (((b * ((t * j) - (y * k))) + (k * (y1 * y2))) - (j * (y1 * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.45e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1e+112], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.8e-72], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2e-120], t$95$1, If[LessEqual[y4, -2.55e-162], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.4e-218], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.7e-99], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7.6e+87], t$95$1, N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -1.4499999999999999e182

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -1.4499999999999999e182 < y4 < -9.9999999999999993e111

   1. Initial program 14.6%

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

   3. Taylor expanded in y4 around inf 47.8%

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

   4. Taylor expanded in k around -inf 62.2%

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

      1. mul-1-neg 62.2%

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

      2. *-commutative 62.2%

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

      3. distribute-rgt-neg-in 62.2%

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

      4. +-commutative 62.2%

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

      5. mul-1-neg 62.2%

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

      6. unsub-neg 62.2%

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

      7. *-commutative 62.2%

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

   6. Simplified 62.2%

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

   if -9.9999999999999993e111 < y4 < -6.7999999999999997e-72

   1. Initial program 29.7%

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

   3. Taylor expanded in y1 around inf 34.4%

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

   4. Taylor expanded in z around inf 46.9%

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

   if -6.7999999999999997e-72 < y4 < -1.99999999999999996e-120 or 2.7e-99 < y4 < 7.60000000000000022e87

   1. Initial program 22.9%

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

   3. Taylor expanded in t around inf 50.4%

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

   4. Taylor expanded in j around 0 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   if -1.99999999999999996e-120 < y4 < -2.5499999999999998e-162

   1. Initial program 37.3%

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

   3. Taylor expanded in y5 around -inf 57.4%

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

   4. Taylor expanded in y0 around inf 57.7%

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

   if -2.5499999999999998e-162 < y4 < -6.4000000000000002e-218

   1. Initial program 30.6%

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

   3. Taylor expanded in b around inf 46.4%

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

   4. Taylor expanded in a around inf 69.6%

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

   if -6.4000000000000002e-218 < y4 < 2.7e-99

   1. Initial program 44.3%

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

   3. Taylor expanded in i around -inf 56.2%

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

   4. Taylor expanded in y around inf 50.1%

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

      1. +-commutative 50.1%

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

      2. mul-1-neg 50.1%

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

      3. unsub-neg 50.1%

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

   6. Simplified 50.1%

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

   if 7.60000000000000022e87 < y4

   1. Initial program 20.4%

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

   3. Taylor expanded in y4 around inf 64.0%

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

   4. Taylor expanded in k around 0 68.6%

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

      1. +-commutative 68.6%

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

      2. mul-1-neg 68.6%

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

      3. unsub-neg 68.6%

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

   6. Simplified 68.6%

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

   7. Taylor expanded in c around 0 62.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 55.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.45 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{+112}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -6.8 \cdot 10^{-72}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{-120}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.55 \cdot 10^{-162}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -6.4 \cdot 10^{-218}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{-99}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 7.6 \cdot 10^{+87}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 30.7% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{if}\;y4 \leq -4.1 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -3.2 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.85 \cdot 10^{-54}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.55 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 1.6 \cdot 10^{-248}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 9.8 \cdot 10^{-194}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 3.8 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 3.65 \cdot 10^{-31}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{+110}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 4.7 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y (- (* k y5) (* x c))))))
   (if (<= y4 -4.1e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -3.2e+116)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -1.85e-54)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -1.55e-195)
           (* t (* z (- (* c i) (* a b))))
           (if (<= y4 1.6e-248)
             t_1
             (if (<= y4 9.8e-194)
               (* y1 (* y2 (- (* k y4) (* x a))))
               (if (<= y4 3.8e-96)
                 (* y (* y5 (- (* i k) (* a y3))))
                 (if (<= y4 3.65e-31)
                   (* i (* j (- (* x y1) (* t y5))))
                   (if (<= y4 6.2e+110)
                     t_1
                     (if (<= y4 4.7e+154)
                       (* (- (* t j) (* y k)) (* b y4))
                       (* (* y3 y4) (- (* y c) (* j y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * ((k * y5) - (x * c)));
	double tmp;
	if (y4 <= -4.1e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -3.2e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.85e-54) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.55e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 1.6e-248) {
		tmp = t_1;
	} else if (y4 <= 9.8e-194) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 3.8e-96) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y4 <= 3.65e-31) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 6.2e+110) {
		tmp = t_1;
	} else if (y4 <= 4.7e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y * ((k * y5) - (x * c)))
    if (y4 <= (-4.1d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-3.2d+116)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-1.85d-54)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-1.55d-195)) then
        tmp = t * (z * ((c * i) - (a * b)))
    else if (y4 <= 1.6d-248) then
        tmp = t_1
    else if (y4 <= 9.8d-194) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y4 <= 3.8d-96) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y4 <= 3.65d-31) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y4 <= 6.2d+110) then
        tmp = t_1
    else if (y4 <= 4.7d+154) then
        tmp = ((t * j) - (y * k)) * (b * y4)
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * ((k * y5) - (x * c)));
	double tmp;
	if (y4 <= -4.1e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -3.2e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.85e-54) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.55e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 1.6e-248) {
		tmp = t_1;
	} else if (y4 <= 9.8e-194) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 3.8e-96) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y4 <= 3.65e-31) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 6.2e+110) {
		tmp = t_1;
	} else if (y4 <= 4.7e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y * ((k * y5) - (x * c)))
	tmp = 0
	if y4 <= -4.1e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -3.2e+116:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -1.85e-54:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -1.55e-195:
		tmp = t * (z * ((c * i) - (a * b)))
	elif y4 <= 1.6e-248:
		tmp = t_1
	elif y4 <= 9.8e-194:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y4 <= 3.8e-96:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y4 <= 3.65e-31:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y4 <= 6.2e+110:
		tmp = t_1
	elif y4 <= 4.7e+154:
		tmp = ((t * j) - (y * k)) * (b * y4)
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))))
	tmp = 0.0
	if (y4 <= -4.1e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -3.2e+116)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -1.85e-54)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -1.55e-195)
		tmp = Float64(t * Float64(z * Float64(Float64(c * i) - Float64(a * b))));
	elseif (y4 <= 1.6e-248)
		tmp = t_1;
	elseif (y4 <= 9.8e-194)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y4 <= 3.8e-96)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y4 <= 3.65e-31)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y4 <= 6.2e+110)
		tmp = t_1;
	elseif (y4 <= 4.7e+154)
		tmp = Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(b * y4));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y * ((k * y5) - (x * c)));
	tmp = 0.0;
	if (y4 <= -4.1e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -3.2e+116)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -1.85e-54)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -1.55e-195)
		tmp = t * (z * ((c * i) - (a * b)));
	elseif (y4 <= 1.6e-248)
		tmp = t_1;
	elseif (y4 <= 9.8e-194)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y4 <= 3.8e-96)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y4 <= 3.65e-31)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y4 <= 6.2e+110)
		tmp = t_1;
	elseif (y4 <= 4.7e+154)
		tmp = ((t * j) - (y * k)) * (b * y4);
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4.1e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.2e+116], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.85e-54], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.55e-195], N[(t * N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.6e-248], t$95$1, If[LessEqual[y4, 9.8e-194], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.8e-96], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.65e-31], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.2e+110], t$95$1, If[LessEqual[y4, 4.7e+154], N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(b * y4), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -4.10000000000000003e182

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -4.10000000000000003e182 < y4 < -3.2e116

   1. Initial program 15.3%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in k around -inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. distribute-rgt-neg-in 65.3%

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

      4. +-commutative 65.3%

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

      5. mul-1-neg 65.3%

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

      6. unsub-neg 65.3%

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

      7. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -3.2e116 < y4 < -1.8500000000000001e-54

   1. Initial program 35.4%

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

   3. Taylor expanded in y1 around inf 37.7%

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

   4. Taylor expanded in z around inf 46.2%

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

   if -1.8500000000000001e-54 < y4 < -1.55000000000000001e-195

   1. Initial program 20.8%

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

   3. Taylor expanded in t around inf 47.5%

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

   4. Taylor expanded in z around inf 47.9%

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

      1. mul-1-neg 47.9%

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

   6. Simplified 47.9%

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

   if -1.55000000000000001e-195 < y4 < 1.60000000000000009e-248 or 3.6500000000000001e-31 < y4 < 6.20000000000000035e110

   1. Initial program 38.3%

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

   3. Taylor expanded in i around -inf 53.2%

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

   4. Taylor expanded in y around inf 48.0%

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

      1. +-commutative 48.0%

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

      2. mul-1-neg 48.0%

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

      3. unsub-neg 48.0%

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

   6. Simplified 48.0%

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

   if 1.60000000000000009e-248 < y4 < 9.80000000000000008e-194

   1. Initial program 30.0%

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

   3. Taylor expanded in y1 around inf 50.2%

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

   4. Taylor expanded in y2 around inf 51.7%

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

      1. +-commutative 51.7%

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

      2. mul-1-neg 51.7%

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

      3. unsub-neg 51.7%

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

   6. Simplified 51.7%

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

   if 9.80000000000000008e-194 < y4 < 3.8000000000000001e-96

   1. Initial program 53.1%

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

   3. Taylor expanded in y5 around -inf 54.3%

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

   4. Taylor expanded in y around -inf 67.7%

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

      1. mul-1-neg 67.7%

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

   6. Simplified 67.7%

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

   if 3.8000000000000001e-96 < y4 < 3.6500000000000001e-31

   1. Initial program 18.2%

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

   3. Taylor expanded in i around -inf 27.7%

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

   4. Taylor expanded in j around inf 55.4%

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

   if 6.20000000000000035e110 < y4 < 4.69999999999999983e154

   1. Initial program 16.7%

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

   3. Taylor expanded in b around inf 67.1%

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

   4. Taylor expanded in y4 around inf 75.6%

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

      1. fma-neg 75.6%

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

      2. associate-*r* 75.6%

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

      3. fma-neg 75.6%

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

   6. Simplified 75.6%

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

   if 4.69999999999999983e154 < y4

   1. Initial program 18.5%

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

   3. Taylor expanded in y4 around inf 66.9%

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

   4. Taylor expanded in k around 0 74.4%

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

      1. +-commutative 74.4%

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

      2. mul-1-neg 74.4%

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

      3. unsub-neg 74.4%

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

   6. Simplified 74.4%

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

   7. Taylor expanded in y3 around -inf 63.7%

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

      1. associate-*r* 65.2%

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

      2. +-commutative 65.2%

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

      3. mul-1-neg 65.2%

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

      4. unsub-neg 65.2%

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

      5. *-commutative 65.2%

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

   9. Simplified 65.2%

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

4. Final simplification 55.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4.1 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -3.2 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.85 \cdot 10^{-54}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.55 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 1.6 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 9.8 \cdot 10^{-194}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 3.8 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 3.65 \cdot 10^{-31}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{+110}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 4.7 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 30.7% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y5 - x \cdot c\\ t_2 := i \cdot \left(y \cdot t\_1\right)\\ \mathbf{if}\;y4 \leq -2.55 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6.6 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.5 \cdot 10^{-51}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 5 \cdot 10^{-249}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{-199}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 4.2 \cdot 10^{-96}:\\ \;\;\;\;\left(y \cdot i\right) \cdot t\_1\\ \mathbf{elif}\;y4 \leq 4.5 \cdot 10^{-30}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.05 \cdot 10^{+110}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 4.9 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y5) (* x c))) (t_2 (* i (* y t_1))))
   (if (<= y4 -2.55e+181)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -6.6e+115)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -1.5e-51)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -2.8e-195)
           (* t (* z (- (* c i) (* a b))))
           (if (<= y4 5e-249)
             t_2
             (if (<= y4 8e-199)
               (* y1 (* y2 (- (* k y4) (* x a))))
               (if (<= y4 4.2e-96)
                 (* (* y i) t_1)
                 (if (<= y4 4.5e-30)
                   (* i (* j (- (* x y1) (* t y5))))
                   (if (<= y4 1.05e+110)
                     t_2
                     (if (<= y4 4.9e+154)
                       (* (- (* t j) (* y k)) (* b y4))
                       (* (* y3 y4) (- (* y c) (* j y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (k * y5) - (x * c);
	double t_2 = i * (y * t_1);
	double tmp;
	if (y4 <= -2.55e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -6.6e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.5e-51) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2.8e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 5e-249) {
		tmp = t_2;
	} else if (y4 <= 8e-199) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 4.2e-96) {
		tmp = (y * i) * t_1;
	} else if (y4 <= 4.5e-30) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 1.05e+110) {
		tmp = t_2;
	} else if (y4 <= 4.9e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (k * y5) - (x * c)
    t_2 = i * (y * t_1)
    if (y4 <= (-2.55d+181)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-6.6d+115)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-1.5d-51)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-2.8d-195)) then
        tmp = t * (z * ((c * i) - (a * b)))
    else if (y4 <= 5d-249) then
        tmp = t_2
    else if (y4 <= 8d-199) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y4 <= 4.2d-96) then
        tmp = (y * i) * t_1
    else if (y4 <= 4.5d-30) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y4 <= 1.05d+110) then
        tmp = t_2
    else if (y4 <= 4.9d+154) then
        tmp = ((t * j) - (y * k)) * (b * y4)
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (k * y5) - (x * c);
	double t_2 = i * (y * t_1);
	double tmp;
	if (y4 <= -2.55e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -6.6e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.5e-51) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2.8e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 5e-249) {
		tmp = t_2;
	} else if (y4 <= 8e-199) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 4.2e-96) {
		tmp = (y * i) * t_1;
	} else if (y4 <= 4.5e-30) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 1.05e+110) {
		tmp = t_2;
	} else if (y4 <= 4.9e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y5) - (x * c)
	t_2 = i * (y * t_1)
	tmp = 0
	if y4 <= -2.55e+181:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -6.6e+115:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -1.5e-51:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -2.8e-195:
		tmp = t * (z * ((c * i) - (a * b)))
	elif y4 <= 5e-249:
		tmp = t_2
	elif y4 <= 8e-199:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y4 <= 4.2e-96:
		tmp = (y * i) * t_1
	elif y4 <= 4.5e-30:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y4 <= 1.05e+110:
		tmp = t_2
	elif y4 <= 4.9e+154:
		tmp = ((t * j) - (y * k)) * (b * y4)
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(k * y5) - Float64(x * c))
	t_2 = Float64(i * Float64(y * t_1))
	tmp = 0.0
	if (y4 <= -2.55e+181)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -6.6e+115)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -1.5e-51)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -2.8e-195)
		tmp = Float64(t * Float64(z * Float64(Float64(c * i) - Float64(a * b))));
	elseif (y4 <= 5e-249)
		tmp = t_2;
	elseif (y4 <= 8e-199)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y4 <= 4.2e-96)
		tmp = Float64(Float64(y * i) * t_1);
	elseif (y4 <= 4.5e-30)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y4 <= 1.05e+110)
		tmp = t_2;
	elseif (y4 <= 4.9e+154)
		tmp = Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(b * y4));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (k * y5) - (x * c);
	t_2 = i * (y * t_1);
	tmp = 0.0;
	if (y4 <= -2.55e+181)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -6.6e+115)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -1.5e-51)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -2.8e-195)
		tmp = t * (z * ((c * i) - (a * b)));
	elseif (y4 <= 5e-249)
		tmp = t_2;
	elseif (y4 <= 8e-199)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y4 <= 4.2e-96)
		tmp = (y * i) * t_1;
	elseif (y4 <= 4.5e-30)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y4 <= 1.05e+110)
		tmp = t_2;
	elseif (y4 <= 4.9e+154)
		tmp = ((t * j) - (y * k)) * (b * y4);
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(y * t$95$1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.55e+181], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.6e+115], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.5e-51], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.8e-195], N[(t * N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5e-249], t$95$2, If[LessEqual[y4, 8e-199], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.2e-96], N[(N[(y * i), $MachinePrecision] * t$95$1), $MachinePrecision], If[LessEqual[y4, 4.5e-30], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.05e+110], t$95$2, If[LessEqual[y4, 4.9e+154], N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(b * y4), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -2.55e181

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -2.55e181 < y4 < -6.6000000000000001e115

   1. Initial program 15.3%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in k around -inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. distribute-rgt-neg-in 65.3%

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

      4. +-commutative 65.3%

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

      5. mul-1-neg 65.3%

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

      6. unsub-neg 65.3%

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

      7. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -6.6000000000000001e115 < y4 < -1.50000000000000001e-51

   1. Initial program 35.4%

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

   3. Taylor expanded in y1 around inf 37.7%

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

   4. Taylor expanded in z around inf 46.2%

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

   if -1.50000000000000001e-51 < y4 < -2.80000000000000003e-195

   1. Initial program 20.8%

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

   3. Taylor expanded in t around inf 47.5%

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

   4. Taylor expanded in z around inf 47.9%

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

      1. mul-1-neg 47.9%

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

   6. Simplified 47.9%

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

   if -2.80000000000000003e-195 < y4 < 4.9999999999999999e-249 or 4.49999999999999967e-30 < y4 < 1.05000000000000007e110

   1. Initial program 38.3%

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

   3. Taylor expanded in i around -inf 53.2%

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

   4. Taylor expanded in y around inf 48.0%

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

      1. +-commutative 48.0%

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

      2. mul-1-neg 48.0%

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

      3. unsub-neg 48.0%

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

   6. Simplified 48.0%

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

   if 4.9999999999999999e-249 < y4 < 7.99999999999999986e-199

   1. Initial program 30.0%

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

   3. Taylor expanded in y1 around inf 50.2%

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

   4. Taylor expanded in y2 around inf 51.7%

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

      1. +-commutative 51.7%

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

      2. mul-1-neg 51.7%

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

      3. unsub-neg 51.7%

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

   6. Simplified 51.7%

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

   if 7.99999999999999986e-199 < y4 < 4.20000000000000002e-96

   1. Initial program 53.1%

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

   3. Taylor expanded in i around -inf 53.5%

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

   4. Taylor expanded in y around inf 67.0%

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

      1. +-commutative 67.0%

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

      2. mul-1-neg 67.0%

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

      3. unsub-neg 67.0%

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

   6. Simplified 67.0%

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

      1. pow1 67.0%

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

      2. associate-*r* 67.1%

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

   8. Applied egg-rr 67.1%

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

      1. unpow1 67.1%

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

      2. *-commutative 67.1%

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

   10. Simplified 67.1%

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

   if 4.20000000000000002e-96 < y4 < 4.49999999999999967e-30

   1. Initial program 18.2%

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

   3. Taylor expanded in i around -inf 27.7%

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

   4. Taylor expanded in j around inf 55.4%

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

   if 1.05000000000000007e110 < y4 < 4.9000000000000002e154

   1. Initial program 16.7%

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

   3. Taylor expanded in b around inf 67.1%

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

   4. Taylor expanded in y4 around inf 75.6%

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

      1. fma-neg 75.6%

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

      2. associate-*r* 75.6%

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

      3. fma-neg 75.6%

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

   6. Simplified 75.6%

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

   if 4.9000000000000002e154 < y4

   1. Initial program 18.5%

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

   3. Taylor expanded in y4 around inf 66.9%

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

   4. Taylor expanded in k around 0 74.4%

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

      1. +-commutative 74.4%

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

      2. mul-1-neg 74.4%

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

      3. unsub-neg 74.4%

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

   6. Simplified 74.4%

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

   7. Taylor expanded in y3 around -inf 63.7%

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

      1. associate-*r* 65.2%

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

      2. +-commutative 65.2%

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

      3. mul-1-neg 65.2%

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

      4. unsub-neg 65.2%

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

      5. *-commutative 65.2%

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

   9. Simplified 65.2%

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

4. Final simplification 55.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.55 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6.6 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.5 \cdot 10^{-51}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 5 \cdot 10^{-249}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{-199}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 4.2 \cdot 10^{-96}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y4 \leq 4.5 \cdot 10^{-30}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.05 \cdot 10^{+110}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 4.9 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 30.9% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{if}\;y4 \leq -2.9 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.2 \cdot 10^{-49}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 7.2 \cdot 10^{-249}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{-199}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 5.8 \cdot 10^{-96}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.9 \cdot 10^{-31}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.15 \cdot 10^{+112}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 2.45 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y (- (* k y5) (* x c))))))
   (if (<= y4 -2.9e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -2e+116)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -1.2e-49)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -5.5e-195)
           (* t (* z (- (* c i) (* a b))))
           (if (<= y4 7.2e-249)
             t_1
             (if (<= y4 8e-199)
               (* y1 (* y2 (- (* k y4) (* x a))))
               (if (<= y4 5.8e-96)
                 t_1
                 (if (<= y4 1.9e-31)
                   (* i (* j (- (* x y1) (* t y5))))
                   (if (<= y4 1.15e+112)
                     t_1
                     (if (<= y4 2.45e+154)
                       (* (- (* t j) (* y k)) (* b y4))
                       (* (* y3 y4) (- (* y c) (* j y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * ((k * y5) - (x * c)));
	double tmp;
	if (y4 <= -2.9e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -2e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.2e-49) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -5.5e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 7.2e-249) {
		tmp = t_1;
	} else if (y4 <= 8e-199) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 5.8e-96) {
		tmp = t_1;
	} else if (y4 <= 1.9e-31) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 1.15e+112) {
		tmp = t_1;
	} else if (y4 <= 2.45e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y * ((k * y5) - (x * c)))
    if (y4 <= (-2.9d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-2d+116)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-1.2d-49)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-5.5d-195)) then
        tmp = t * (z * ((c * i) - (a * b)))
    else if (y4 <= 7.2d-249) then
        tmp = t_1
    else if (y4 <= 8d-199) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y4 <= 5.8d-96) then
        tmp = t_1
    else if (y4 <= 1.9d-31) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y4 <= 1.15d+112) then
        tmp = t_1
    else if (y4 <= 2.45d+154) then
        tmp = ((t * j) - (y * k)) * (b * y4)
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * ((k * y5) - (x * c)));
	double tmp;
	if (y4 <= -2.9e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -2e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.2e-49) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -5.5e-195) {
		tmp = t * (z * ((c * i) - (a * b)));
	} else if (y4 <= 7.2e-249) {
		tmp = t_1;
	} else if (y4 <= 8e-199) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y4 <= 5.8e-96) {
		tmp = t_1;
	} else if (y4 <= 1.9e-31) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 1.15e+112) {
		tmp = t_1;
	} else if (y4 <= 2.45e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y * ((k * y5) - (x * c)))
	tmp = 0
	if y4 <= -2.9e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -2e+116:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -1.2e-49:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -5.5e-195:
		tmp = t * (z * ((c * i) - (a * b)))
	elif y4 <= 7.2e-249:
		tmp = t_1
	elif y4 <= 8e-199:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y4 <= 5.8e-96:
		tmp = t_1
	elif y4 <= 1.9e-31:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y4 <= 1.15e+112:
		tmp = t_1
	elif y4 <= 2.45e+154:
		tmp = ((t * j) - (y * k)) * (b * y4)
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))))
	tmp = 0.0
	if (y4 <= -2.9e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -2e+116)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -1.2e-49)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -5.5e-195)
		tmp = Float64(t * Float64(z * Float64(Float64(c * i) - Float64(a * b))));
	elseif (y4 <= 7.2e-249)
		tmp = t_1;
	elseif (y4 <= 8e-199)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y4 <= 5.8e-96)
		tmp = t_1;
	elseif (y4 <= 1.9e-31)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y4 <= 1.15e+112)
		tmp = t_1;
	elseif (y4 <= 2.45e+154)
		tmp = Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(b * y4));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y * ((k * y5) - (x * c)));
	tmp = 0.0;
	if (y4 <= -2.9e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -2e+116)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -1.2e-49)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -5.5e-195)
		tmp = t * (z * ((c * i) - (a * b)));
	elseif (y4 <= 7.2e-249)
		tmp = t_1;
	elseif (y4 <= 8e-199)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y4 <= 5.8e-96)
		tmp = t_1;
	elseif (y4 <= 1.9e-31)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y4 <= 1.15e+112)
		tmp = t_1;
	elseif (y4 <= 2.45e+154)
		tmp = ((t * j) - (y * k)) * (b * y4);
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.9e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2e+116], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.2e-49], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.5e-195], N[(t * N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7.2e-249], t$95$1, If[LessEqual[y4, 8e-199], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.8e-96], t$95$1, If[LessEqual[y4, 1.9e-31], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.15e+112], t$95$1, If[LessEqual[y4, 2.45e+154], N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(b * y4), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -2.8999999999999998e182

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -2.8999999999999998e182 < y4 < -2.00000000000000003e116

   1. Initial program 15.3%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in k around -inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. distribute-rgt-neg-in 65.3%

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

      4. +-commutative 65.3%

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

      5. mul-1-neg 65.3%

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

      6. unsub-neg 65.3%

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

      7. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -2.00000000000000003e116 < y4 < -1.19999999999999996e-49

   1. Initial program 35.4%

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

   3. Taylor expanded in y1 around inf 37.7%

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

   4. Taylor expanded in z around inf 46.2%

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

   if -1.19999999999999996e-49 < y4 < -5.5000000000000003e-195

   1. Initial program 20.8%

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

   3. Taylor expanded in t around inf 47.5%

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

   4. Taylor expanded in z around inf 47.9%

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

      1. mul-1-neg 47.9%

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

   6. Simplified 47.9%

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

   if -5.5000000000000003e-195 < y4 < 7.19999999999999989e-249 or 7.99999999999999986e-199 < y4 < 5.79999999999999987e-96 or 1.9e-31 < y4 < 1.15e112

   1. Initial program 41.0%

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

   3. Taylor expanded in i around -inf 53.3%

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

   4. Taylor expanded in y around inf 51.4%

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

      1. +-commutative 51.4%

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

      2. mul-1-neg 51.4%

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

      3. unsub-neg 51.4%

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

   6. Simplified 51.4%

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

   if 7.19999999999999989e-249 < y4 < 7.99999999999999986e-199

   1. Initial program 30.0%

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

   3. Taylor expanded in y1 around inf 50.2%

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

   4. Taylor expanded in y2 around inf 51.7%

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

      1. +-commutative 51.7%

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

      2. mul-1-neg 51.7%

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

      3. unsub-neg 51.7%

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

   6. Simplified 51.7%

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

   if 5.79999999999999987e-96 < y4 < 1.9e-31

   1. Initial program 18.2%

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

   3. Taylor expanded in i around -inf 27.7%

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

   4. Taylor expanded in j around inf 55.4%

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

   if 1.15e112 < y4 < 2.4500000000000001e154

   1. Initial program 16.7%

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

   3. Taylor expanded in b around inf 67.1%

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

   4. Taylor expanded in y4 around inf 75.6%

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

      1. fma-neg 75.6%

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

      2. associate-*r* 75.6%

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

      3. fma-neg 75.6%

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

   6. Simplified 75.6%

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

   if 2.4500000000000001e154 < y4

   1. Initial program 18.5%

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

   3. Taylor expanded in y4 around inf 66.9%

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

   4. Taylor expanded in k around 0 74.4%

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

      1. +-commutative 74.4%

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

      2. mul-1-neg 74.4%

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

      3. unsub-neg 74.4%

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

   6. Simplified 74.4%

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

   7. Taylor expanded in y3 around -inf 63.7%

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

      1. associate-*r* 65.2%

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

      2. +-commutative 65.2%

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

      3. mul-1-neg 65.2%

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

      4. unsub-neg 65.2%

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

      5. *-commutative 65.2%

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

   9. Simplified 65.2%

      \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 55.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.9 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.2 \cdot 10^{-49}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq 7.2 \cdot 10^{-249}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{-199}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y4 \leq 5.8 \cdot 10^{-96}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 1.9 \cdot 10^{-31}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.15 \cdot 10^{+112}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 2.45 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 29.8% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ t_2 := i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{if}\;y4 \leq -2.3 \cdot 10^{+181}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -1.2 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.15 \cdot 10^{-246}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 1.85 \cdot 10^{-274}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 1.05 \cdot 10^{-246}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 4.1 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{+17}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 9.1 \cdot 10^{+95}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y4 \leq 5.6 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4)))))
        (t_2 (* i (* j (- (* x y1) (* t y5))))))
   (if (<= y4 -2.3e+181)
     t_1
     (if (<= y4 -1.2e+116)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -1.3e-147)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -1.15e-246)
           (* a (* b (- (* x y) (* z t))))
           (if (<= y4 1.85e-274)
             t_2
             (if (<= y4 1.05e-246)
               t_1
               (if (<= y4 4.1e-100)
                 (* i (* y (* k y5)))
                 (if (<= y4 8e+17)
                   t_2
                   (if (<= y4 9.1e+95)
                     (* (- i) (* (* x y) c))
                     (if (<= y4 5.6e+154)
                       (* (- (* t j) (* y k)) (* b y4))
                       (* (* y3 y4) (- (* y c) (* j y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double t_2 = i * (j * ((x * y1) - (t * y5)));
	double tmp;
	if (y4 <= -2.3e+181) {
		tmp = t_1;
	} else if (y4 <= -1.2e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.3e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.15e-246) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 1.85e-274) {
		tmp = t_2;
	} else if (y4 <= 1.05e-246) {
		tmp = t_1;
	} else if (y4 <= 4.1e-100) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 8e+17) {
		tmp = t_2;
	} else if (y4 <= 9.1e+95) {
		tmp = -i * ((x * y) * c);
	} else if (y4 <= 5.6e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    t_2 = i * (j * ((x * y1) - (t * y5)))
    if (y4 <= (-2.3d+181)) then
        tmp = t_1
    else if (y4 <= (-1.2d+116)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-1.3d-147)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-1.15d-246)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 1.85d-274) then
        tmp = t_2
    else if (y4 <= 1.05d-246) then
        tmp = t_1
    else if (y4 <= 4.1d-100) then
        tmp = i * (y * (k * y5))
    else if (y4 <= 8d+17) then
        tmp = t_2
    else if (y4 <= 9.1d+95) then
        tmp = -i * ((x * y) * c)
    else if (y4 <= 5.6d+154) then
        tmp = ((t * j) - (y * k)) * (b * y4)
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double t_2 = i * (j * ((x * y1) - (t * y5)));
	double tmp;
	if (y4 <= -2.3e+181) {
		tmp = t_1;
	} else if (y4 <= -1.2e+116) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.3e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.15e-246) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 1.85e-274) {
		tmp = t_2;
	} else if (y4 <= 1.05e-246) {
		tmp = t_1;
	} else if (y4 <= 4.1e-100) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 8e+17) {
		tmp = t_2;
	} else if (y4 <= 9.1e+95) {
		tmp = -i * ((x * y) * c);
	} else if (y4 <= 5.6e+154) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * ((x * a) - (k * y4)))
	t_2 = i * (j * ((x * y1) - (t * y5)))
	tmp = 0
	if y4 <= -2.3e+181:
		tmp = t_1
	elif y4 <= -1.2e+116:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -1.3e-147:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -1.15e-246:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 1.85e-274:
		tmp = t_2
	elif y4 <= 1.05e-246:
		tmp = t_1
	elif y4 <= 4.1e-100:
		tmp = i * (y * (k * y5))
	elif y4 <= 8e+17:
		tmp = t_2
	elif y4 <= 9.1e+95:
		tmp = -i * ((x * y) * c)
	elif y4 <= 5.6e+154:
		tmp = ((t * j) - (y * k)) * (b * y4)
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	t_2 = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))))
	tmp = 0.0
	if (y4 <= -2.3e+181)
		tmp = t_1;
	elseif (y4 <= -1.2e+116)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -1.3e-147)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -1.15e-246)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 1.85e-274)
		tmp = t_2;
	elseif (y4 <= 1.05e-246)
		tmp = t_1;
	elseif (y4 <= 4.1e-100)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y4 <= 8e+17)
		tmp = t_2;
	elseif (y4 <= 9.1e+95)
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	elseif (y4 <= 5.6e+154)
		tmp = Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(b * y4));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * ((x * a) - (k * y4)));
	t_2 = i * (j * ((x * y1) - (t * y5)));
	tmp = 0.0;
	if (y4 <= -2.3e+181)
		tmp = t_1;
	elseif (y4 <= -1.2e+116)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -1.3e-147)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -1.15e-246)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 1.85e-274)
		tmp = t_2;
	elseif (y4 <= 1.05e-246)
		tmp = t_1;
	elseif (y4 <= 4.1e-100)
		tmp = i * (y * (k * y5));
	elseif (y4 <= 8e+17)
		tmp = t_2;
	elseif (y4 <= 9.1e+95)
		tmp = -i * ((x * y) * c);
	elseif (y4 <= 5.6e+154)
		tmp = ((t * j) - (y * k)) * (b * y4);
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.3e+181], t$95$1, If[LessEqual[y4, -1.2e+116], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.3e-147], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.15e-246], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.85e-274], t$95$2, If[LessEqual[y4, 1.05e-246], t$95$1, If[LessEqual[y4, 4.1e-100], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 8e+17], t$95$2, If[LessEqual[y4, 9.1e+95], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.6e+154], N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(b * y4), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -2.2999999999999999e181 or 1.84999999999999992e-274 < y4 < 1.04999999999999997e-246

   1. Initial program 38.6%

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

   3. Taylor expanded in b around inf 47.3%

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

   4. Taylor expanded in y around inf 59.9%

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

      1. +-commutative 59.9%

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

      2. mul-1-neg 59.9%

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

      3. unsub-neg 59.9%

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

   6. Simplified 59.9%

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

   if -2.2999999999999999e181 < y4 < -1.2e116

   1. Initial program 15.3%

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

   3. Taylor expanded in y4 around inf 50.2%

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

   4. Taylor expanded in k around -inf 65.3%

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

      1. mul-1-neg 65.3%

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

      2. *-commutative 65.3%

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

      3. distribute-rgt-neg-in 65.3%

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

      4. +-commutative 65.3%

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

      5. mul-1-neg 65.3%

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

      6. unsub-neg 65.3%

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

      7. *-commutative 65.3%

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

   6. Simplified 65.3%

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

   if -1.2e116 < y4 < -1.2999999999999999e-147

   1. Initial program 28.9%

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

   3. Taylor expanded in y1 around inf 32.7%

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

   4. Taylor expanded in z around inf 41.8%

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

   if -1.2999999999999999e-147 < y4 < -1.1499999999999999e-246

   1. Initial program 28.0%

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

   3. Taylor expanded in b around inf 36.9%

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

   4. Taylor expanded in a around inf 52.9%

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

   if -1.1499999999999999e-246 < y4 < 1.84999999999999992e-274 or 4.0999999999999999e-100 < y4 < 8e17

   1. Initial program 36.8%

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

   3. Taylor expanded in i around -inf 55.5%

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

   4. Taylor expanded in j around inf 48.3%

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

   if 1.04999999999999997e-246 < y4 < 4.0999999999999999e-100

   1. Initial program 36.2%

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

   3. Taylor expanded in i around -inf 55.0%

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

   4. Taylor expanded in y around inf 46.3%

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

      1. +-commutative 46.3%

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

      2. mul-1-neg 46.3%

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

      3. unsub-neg 46.3%

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

   6. Simplified 46.3%

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

   7. Taylor expanded in c around 0 42.1%

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

      1. neg-mul-1 42.1%

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

      2. distribute-rgt-neg-in 42.1%

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

   9. Simplified 42.1%

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

   if 8e17 < y4 < 9.10000000000000011e95

   1. Initial program 27.8%

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

   3. Taylor expanded in i around -inf 50.1%

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

   4. Taylor expanded in y around inf 34.1%

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

      1. +-commutative 34.1%

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

      2. mul-1-neg 34.1%

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

      3. unsub-neg 34.1%

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

   6. Simplified 34.1%

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

   7. Taylor expanded in c around inf 45.4%

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

      1. *-commutative 45.4%

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

   9. Simplified 45.4%

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

   if 9.10000000000000011e95 < y4 < 5.5999999999999998e154

   1. Initial program 20.0%

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

   3. Taylor expanded in b around inf 53.7%

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

   4. Taylor expanded in y4 around inf 67.3%

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

      1. fma-neg 67.3%

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

      2. associate-*r* 67.3%

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

      3. fma-neg 67.3%

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

   6. Simplified 67.3%

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

   if 5.5999999999999998e154 < y4

   1. Initial program 18.5%

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

   3. Taylor expanded in y4 around inf 66.9%

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

   4. Taylor expanded in k around 0 74.4%

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

      1. +-commutative 74.4%

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

      2. mul-1-neg 74.4%

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

      3. unsub-neg 74.4%

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

   6. Simplified 74.4%

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

   7. Taylor expanded in y3 around -inf 63.7%

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

      1. associate-*r* 65.2%

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

      2. +-commutative 65.2%

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

      3. mul-1-neg 65.2%

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

      4. unsub-neg 65.2%

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

      5. *-commutative 65.2%

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

   9. Simplified 65.2%

      \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.3 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.2 \cdot 10^{+116}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.15 \cdot 10^{-246}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 1.85 \cdot 10^{-274}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.05 \cdot 10^{-246}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 4.1 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{+17}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 9.1 \cdot 10^{+95}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y4 \leq 5.6 \cdot 10^{+154}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 34.2% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -3.3 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.85 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.1 \cdot 10^{-71}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.9 \cdot 10^{-120}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-162}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{-215}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{-97}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{+83}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (+ (* z (- (* c i) (* a b))) (* y2 (- (* a y5) (* c y4)))))))
   (if (<= y4 -3.3e+182)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= y4 -1.85e+115)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -1.1e-71)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -1.9e-120)
           t_1
           (if (<= y4 -9e-162)
             (* y0 (* y5 (- (* j y3) (* k y2))))
             (if (<= y4 -1.75e-215)
               (* a (* b (- (* x y) (* z t))))
               (if (<= y4 9.5e-97)
                 (* i (* y (- (* k y5) (* x c))))
                 (if (<= y4 2.7e+83)
                   t_1
                   (*
                    y4
                    (+
                     (* b (- (* t j) (* y k)))
                     (* y1 (- (* k y2) (* j y3)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	double tmp;
	if (y4 <= -3.3e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -1.85e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.1e-71) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.9e-120) {
		tmp = t_1;
	} else if (y4 <= -9e-162) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -1.75e-215) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 9.5e-97) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (y4 <= 2.7e+83) {
		tmp = t_1;
	} else {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    if (y4 <= (-3.3d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-1.85d+115)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-1.1d-71)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-1.9d-120)) then
        tmp = t_1
    else if (y4 <= (-9d-162)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y4 <= (-1.75d-215)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 9.5d-97) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else if (y4 <= 2.7d+83) then
        tmp = t_1
    else
        tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	double tmp;
	if (y4 <= -3.3e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -1.85e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.1e-71) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.9e-120) {
		tmp = t_1;
	} else if (y4 <= -9e-162) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -1.75e-215) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 9.5e-97) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (y4 <= 2.7e+83) {
		tmp = t_1;
	} else {
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	tmp = 0
	if y4 <= -3.3e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -1.85e+115:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -1.1e-71:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -1.9e-120:
		tmp = t_1
	elif y4 <= -9e-162:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y4 <= -1.75e-215:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 9.5e-97:
		tmp = i * (y * ((k * y5) - (x * c)))
	elif y4 <= 2.7e+83:
		tmp = t_1
	else:
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (y4 <= -3.3e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -1.85e+115)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -1.1e-71)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -1.9e-120)
		tmp = t_1;
	elseif (y4 <= -9e-162)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y4 <= -1.75e-215)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 9.5e-97)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (y4 <= 2.7e+83)
		tmp = t_1;
	else
		tmp = Float64(y4 * Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (y4 <= -3.3e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -1.85e+115)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -1.1e-71)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -1.9e-120)
		tmp = t_1;
	elseif (y4 <= -9e-162)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y4 <= -1.75e-215)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 9.5e-97)
		tmp = i * (y * ((k * y5) - (x * c)));
	elseif (y4 <= 2.7e+83)
		tmp = t_1;
	else
		tmp = y4 * ((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -3.3e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.85e+115], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.1e-71], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.9e-120], t$95$1, If[LessEqual[y4, -9e-162], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.75e-215], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9.5e-97], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.7e+83], t$95$1, N[(y4 * N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -3.3000000000000001e182

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 44.0%

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

   4. Taylor expanded in y around inf 61.5%

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

      1. +-commutative 61.5%

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

      2. mul-1-neg 61.5%

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

      3. unsub-neg 61.5%

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

   6. Simplified 61.5%

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

   if -3.3000000000000001e182 < y4 < -1.85000000000000003e115

   1. Initial program 14.6%

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

   3. Taylor expanded in y4 around inf 47.8%

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

   4. Taylor expanded in k around -inf 62.2%

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

      1. mul-1-neg 62.2%

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

      2. *-commutative 62.2%

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

      3. distribute-rgt-neg-in 62.2%

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

      4. +-commutative 62.2%

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

      5. mul-1-neg 62.2%

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

      6. unsub-neg 62.2%

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

      7. *-commutative 62.2%

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

   6. Simplified 62.2%

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

   if -1.85000000000000003e115 < y4 < -1.09999999999999999e-71

   1. Initial program 29.7%

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

   3. Taylor expanded in y1 around inf 34.4%

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

   4. Taylor expanded in z around inf 46.9%

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

   if -1.09999999999999999e-71 < y4 < -1.8999999999999999e-120 or 9.5000000000000001e-97 < y4 < 2.70000000000000007e83

   1. Initial program 22.9%

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

   3. Taylor expanded in t around inf 50.4%

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

   4. Taylor expanded in j around 0 50.5%

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

      1. mul-1-neg 50.5%

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

   6. Simplified 50.5%

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

   if -1.8999999999999999e-120 < y4 < -9.00000000000000045e-162

   1. Initial program 37.3%

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

   3. Taylor expanded in y5 around -inf 57.4%

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

   4. Taylor expanded in y0 around inf 57.7%

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

   if -9.00000000000000045e-162 < y4 < -1.7500000000000001e-215

   1. Initial program 30.6%

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

   3. Taylor expanded in b around inf 46.4%

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

   4. Taylor expanded in a around inf 69.6%

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

   if -1.7500000000000001e-215 < y4 < 9.5000000000000001e-97

   1. Initial program 44.3%

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

   3. Taylor expanded in i around -inf 56.2%

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

   4. Taylor expanded in y around inf 50.1%

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

      1. +-commutative 50.1%

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

      2. mul-1-neg 50.1%

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

      3. unsub-neg 50.1%

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

   6. Simplified 50.1%

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

   if 2.70000000000000007e83 < y4

   1. Initial program 20.4%

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

   3. Taylor expanded in y4 around inf 64.0%

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

   4. Taylor expanded in c around 0 62.0%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 55.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -3.3 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.85 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.1 \cdot 10^{-71}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.9 \cdot 10^{-120}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-162}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{-215}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{-97}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{+83}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 36.4% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y1 \cdot y3\right)\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_4 := b \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{if}\;y2 \leq -1.25 \cdot 10^{+215}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y2 \leq -1.2 \cdot 10^{+160}:\\ \;\;\;\;y4 \cdot \left(\left(t\_4 - t\_1\right) + c \cdot \left(y \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -2.6 \cdot 10^{+43}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_2\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-70}:\\ \;\;\;\;y4 \cdot \left(\left(t\_4 + k \cdot \left(y1 \cdot y2\right)\right) - t\_1\right)\\ \mathbf{elif}\;y2 \leq 2.3 \cdot 10^{+57}:\\ \;\;\;\;\left(c \cdot y4\right) \cdot \left(y \cdot y3 - t \cdot y2\right)\\ \mathbf{elif}\;y2 \leq 9.8 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* y1 y3)))
        (t_2 (- (* c y0) (* a y1)))
        (t_3
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_2))
           (* t (- (* a y5) (* c y4))))))
        (t_4 (* b (- (* t j) (* y k)))))
   (if (<= y2 -1.25e+215)
     t_3
     (if (<= y2 -1.2e+160)
       (* y4 (+ (- t_4 t_1) (* c (* y y3))))
       (if (<= y2 -2.6e+43)
         (*
          x
          (-
           (+ (* y (- (* a b) (* c i))) (* y2 t_2))
           (* j (- (* b y0) (* i y1)))))
         (if (<= y2 6.5e-70)
           (* y4 (- (+ t_4 (* k (* y1 y2))) t_1))
           (if (<= y2 2.3e+57)
             (* (* c y4) (- (* y y3) (* t y2)))
             (if (<= y2 9.8e+181) (* b (* y (- (* x a) (* k y4)))) 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 = j * (y1 * y3);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	double t_4 = b * ((t * j) - (y * k));
	double tmp;
	if (y2 <= -1.25e+215) {
		tmp = t_3;
	} else if (y2 <= -1.2e+160) {
		tmp = y4 * ((t_4 - t_1) + (c * (y * y3)));
	} else if (y2 <= -2.6e+43) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) - (j * ((b * y0) - (i * y1))));
	} else if (y2 <= 6.5e-70) {
		tmp = y4 * ((t_4 + (k * (y1 * y2))) - t_1);
	} else if (y2 <= 2.3e+57) {
		tmp = (c * y4) * ((y * y3) - (t * y2));
	} else if (y2 <= 9.8e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = j * (y1 * y3)
    t_2 = (c * y0) - (a * y1)
    t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    t_4 = b * ((t * j) - (y * k))
    if (y2 <= (-1.25d+215)) then
        tmp = t_3
    else if (y2 <= (-1.2d+160)) then
        tmp = y4 * ((t_4 - t_1) + (c * (y * y3)))
    else if (y2 <= (-2.6d+43)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) - (j * ((b * y0) - (i * y1))))
    else if (y2 <= 6.5d-70) then
        tmp = y4 * ((t_4 + (k * (y1 * y2))) - t_1)
    else if (y2 <= 2.3d+57) then
        tmp = (c * y4) * ((y * y3) - (t * y2))
    else if (y2 <= 9.8d+181) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y1 * y3);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	double t_4 = b * ((t * j) - (y * k));
	double tmp;
	if (y2 <= -1.25e+215) {
		tmp = t_3;
	} else if (y2 <= -1.2e+160) {
		tmp = y4 * ((t_4 - t_1) + (c * (y * y3)));
	} else if (y2 <= -2.6e+43) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) - (j * ((b * y0) - (i * y1))));
	} else if (y2 <= 6.5e-70) {
		tmp = y4 * ((t_4 + (k * (y1 * y2))) - t_1);
	} else if (y2 <= 2.3e+57) {
		tmp = (c * y4) * ((y * y3) - (t * y2));
	} else if (y2 <= 9.8e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (y1 * y3)
	t_2 = (c * y0) - (a * y1)
	t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	t_4 = b * ((t * j) - (y * k))
	tmp = 0
	if y2 <= -1.25e+215:
		tmp = t_3
	elif y2 <= -1.2e+160:
		tmp = y4 * ((t_4 - t_1) + (c * (y * y3)))
	elif y2 <= -2.6e+43:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) - (j * ((b * y0) - (i * y1))))
	elif y2 <= 6.5e-70:
		tmp = y4 * ((t_4 + (k * (y1 * y2))) - t_1)
	elif y2 <= 2.3e+57:
		tmp = (c * y4) * ((y * y3) - (t * y2))
	elif y2 <= 9.8e+181:
		tmp = b * (y * ((x * a) - (k * y4)))
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(y1 * y3))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	t_4 = Float64(b * Float64(Float64(t * j) - Float64(y * k)))
	tmp = 0.0
	if (y2 <= -1.25e+215)
		tmp = t_3;
	elseif (y2 <= -1.2e+160)
		tmp = Float64(y4 * Float64(Float64(t_4 - t_1) + Float64(c * Float64(y * y3))));
	elseif (y2 <= -2.6e+43)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) - Float64(j * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (y2 <= 6.5e-70)
		tmp = Float64(y4 * Float64(Float64(t_4 + Float64(k * Float64(y1 * y2))) - t_1));
	elseif (y2 <= 2.3e+57)
		tmp = Float64(Float64(c * y4) * Float64(Float64(y * y3) - Float64(t * y2)));
	elseif (y2 <= 9.8e+181)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (y1 * y3);
	t_2 = (c * y0) - (a * y1);
	t_3 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	t_4 = b * ((t * j) - (y * k));
	tmp = 0.0;
	if (y2 <= -1.25e+215)
		tmp = t_3;
	elseif (y2 <= -1.2e+160)
		tmp = y4 * ((t_4 - t_1) + (c * (y * y3)));
	elseif (y2 <= -2.6e+43)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) - (j * ((b * y0) - (i * y1))));
	elseif (y2 <= 6.5e-70)
		tmp = y4 * ((t_4 + (k * (y1 * y2))) - t_1);
	elseif (y2 <= 2.3e+57)
		tmp = (c * y4) * ((y * y3) - (t * y2));
	elseif (y2 <= 9.8e+181)
		tmp = b * (y * ((x * a) - (k * y4)));
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.25e+215], t$95$3, If[LessEqual[y2, -1.2e+160], N[(y4 * N[(N[(t$95$4 - t$95$1), $MachinePrecision] + N[(c * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.6e+43], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] - N[(j * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.5e-70], N[(y4 * N[(N[(t$95$4 + N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.3e+57], N[(N[(c * y4), $MachinePrecision] * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.8e+181], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -1.25e215 or 9.79999999999999963e181 < y2

   1. Initial program 27.6%

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

   3. Taylor expanded in y2 around inf 67.6%

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

   if -1.25e215 < y2 < -1.2000000000000001e160

   1. Initial program 0.0%

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

   3. Taylor expanded in y4 around inf 54.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y2 around 0 73.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + b \cdot \left(j \cdot t - k \cdot y\right)\right) - -1 \cdot \left(c \cdot \left(y \cdot y3\right)\right)\right)} \]

   if -1.2000000000000001e160 < y2 < -2.60000000000000021e43

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 64.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -2.60000000000000021e43 < y2 < 6.5000000000000005e-70

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 41.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around 0 42.6%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + k \cdot \left(y1 \cdot y2\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
   5. Step-by-step derivation

      1. +-commutative 42.6%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) + -1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      2. mul-1-neg 42.6%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \left(k \cdot \left(y1 \cdot y2\right) + \color{blue}{\left(-j \cdot \left(y1 \cdot y3\right)\right)}\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      3. unsub-neg 42.6%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   6. Simplified 42.6%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   7. Taylor expanded in c around 0 43.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)} \]

   if 6.5000000000000005e-70 < y2 < 2.2999999999999999e57

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 47.1%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in c around inf 51.0%

      \[\leadsto \color{blue}{c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 54.2%

         \[\leadsto \color{blue}{\left(c \cdot y4\right) \cdot \left(y \cdot y3 - t \cdot y2\right)} \]

      2. *-commutative 54.2%

         \[\leadsto \color{blue}{\left(y4 \cdot c\right)} \cdot \left(y \cdot y3 - t \cdot y2\right) \]

      3. *-commutative 54.2%

         \[\leadsto \left(y4 \cdot c\right) \cdot \left(\color{blue}{y3 \cdot y} - t \cdot y2\right) \]

      4. *-commutative 54.2%

         \[\leadsto \left(y4 \cdot c\right) \cdot \left(y3 \cdot y - \color{blue}{y2 \cdot t}\right) \]

   6. Simplified 54.2%

      \[\leadsto \color{blue}{\left(y4 \cdot c\right) \cdot \left(y3 \cdot y - y2 \cdot t\right)} \]

   if 2.2999999999999999e57 < y2 < 9.79999999999999963e181

   1. Initial program 17.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 47.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 71.4%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 71.4%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 71.4%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 71.4%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 71.4%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 54.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.25 \cdot 10^{+215}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -1.2 \cdot 10^{+160}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -2.6 \cdot 10^{+43}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{-70}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + k \cdot \left(y1 \cdot y2\right)\right) - j \cdot \left(y1 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 2.3 \cdot 10^{+57}:\\ \;\;\;\;\left(c \cdot y4\right) \cdot \left(y \cdot y3 - t \cdot y2\right)\\ \mathbf{elif}\;y2 \leq 9.8 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 36.5% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(t \cdot j - y \cdot k\right)\\ t_2 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{if}\;c \leq -3.2 \cdot 10^{+103}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{+62}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq -5.6 \cdot 10^{-16}:\\ \;\;\;\;y4 \cdot \left(\left(t\_1 - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -2.8 \cdot 10^{-152}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(t\_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{-90}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq 2.4 \cdot 10^{-42}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (- (* t j) (* y k))))
        (t_2
         (*
          x
          (-
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* b y0) (* i y1)))))))
   (if (<= c -3.2e+103)
     (* i (* y (- (* k y5) (* x c))))
     (if (<= c -2.7e+62)
       (* i (* z (- (* t c) (* k y1))))
       (if (<= c -5.6e-16)
         (* y4 (+ (- t_1 (* j (* y1 y3))) (* c (* y y3))))
         (if (<= c -2.8e-152)
           t_2
           (if (<= c 3.2e-199)
             (* y4 (+ t_1 (* y1 (- (* k y2) (* j y3)))))
             (if (<= c 4.3e-90)
               t_2
               (if (<= c 2.4e-42)
                 (* y1 (* y2 (- (* k y4) (* x a))))
                 (*
                  t
                  (+
                   (* z (- (* c i) (* a b)))
                   (* y2 (- (* a y5) (* c y4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * ((t * j) - (y * k));
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	double tmp;
	if (c <= -3.2e+103) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (c <= -2.7e+62) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (c <= -5.6e-16) {
		tmp = y4 * ((t_1 - (j * (y1 * y3))) + (c * (y * y3)));
	} else if (c <= -2.8e-152) {
		tmp = t_2;
	} else if (c <= 3.2e-199) {
		tmp = y4 * (t_1 + (y1 * ((k * y2) - (j * y3))));
	} else if (c <= 4.3e-90) {
		tmp = t_2;
	} else if (c <= 2.4e-42) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * ((t * j) - (y * k))
    t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
    if (c <= (-3.2d+103)) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else if (c <= (-2.7d+62)) then
        tmp = i * (z * ((t * c) - (k * y1)))
    else if (c <= (-5.6d-16)) then
        tmp = y4 * ((t_1 - (j * (y1 * y3))) + (c * (y * y3)))
    else if (c <= (-2.8d-152)) then
        tmp = t_2
    else if (c <= 3.2d-199) then
        tmp = y4 * (t_1 + (y1 * ((k * y2) - (j * y3))))
    else if (c <= 4.3d-90) then
        tmp = t_2
    else if (c <= 2.4d-42) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else
        tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * ((t * j) - (y * k));
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	double tmp;
	if (c <= -3.2e+103) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (c <= -2.7e+62) {
		tmp = i * (z * ((t * c) - (k * y1)));
	} else if (c <= -5.6e-16) {
		tmp = y4 * ((t_1 - (j * (y1 * y3))) + (c * (y * y3)));
	} else if (c <= -2.8e-152) {
		tmp = t_2;
	} else if (c <= 3.2e-199) {
		tmp = y4 * (t_1 + (y1 * ((k * y2) - (j * y3))));
	} else if (c <= 4.3e-90) {
		tmp = t_2;
	} else if (c <= 2.4e-42) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * ((t * j) - (y * k))
	t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))))
	tmp = 0
	if c <= -3.2e+103:
		tmp = i * (y * ((k * y5) - (x * c)))
	elif c <= -2.7e+62:
		tmp = i * (z * ((t * c) - (k * y1)))
	elif c <= -5.6e-16:
		tmp = y4 * ((t_1 - (j * (y1 * y3))) + (c * (y * y3)))
	elif c <= -2.8e-152:
		tmp = t_2
	elif c <= 3.2e-199:
		tmp = y4 * (t_1 + (y1 * ((k * y2) - (j * y3))))
	elif c <= 4.3e-90:
		tmp = t_2
	elif c <= 2.4e-42:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	else:
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(t * j) - Float64(y * k)))
	t_2 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) - Float64(j * Float64(Float64(b * y0) - Float64(i * y1)))))
	tmp = 0.0
	if (c <= -3.2e+103)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (c <= -2.7e+62)
		tmp = Float64(i * Float64(z * Float64(Float64(t * c) - Float64(k * y1))));
	elseif (c <= -5.6e-16)
		tmp = Float64(y4 * Float64(Float64(t_1 - Float64(j * Float64(y1 * y3))) + Float64(c * Float64(y * y3))));
	elseif (c <= -2.8e-152)
		tmp = t_2;
	elseif (c <= 3.2e-199)
		tmp = Float64(y4 * Float64(t_1 + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))));
	elseif (c <= 4.3e-90)
		tmp = t_2;
	elseif (c <= 2.4e-42)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	else
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * ((t * j) - (y * k));
	t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) - (j * ((b * y0) - (i * y1))));
	tmp = 0.0;
	if (c <= -3.2e+103)
		tmp = i * (y * ((k * y5) - (x * c)));
	elseif (c <= -2.7e+62)
		tmp = i * (z * ((t * c) - (k * y1)));
	elseif (c <= -5.6e-16)
		tmp = y4 * ((t_1 - (j * (y1 * y3))) + (c * (y * y3)));
	elseif (c <= -2.8e-152)
		tmp = t_2;
	elseif (c <= 3.2e-199)
		tmp = y4 * (t_1 + (y1 * ((k * y2) - (j * y3))));
	elseif (c <= 4.3e-90)
		tmp = t_2;
	elseif (c <= 2.4e-42)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	else
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -3.2e+103], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -2.7e+62], N[(i * N[(z * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -5.6e-16], N[(y4 * N[(N[(t$95$1 - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -2.8e-152], t$95$2, If[LessEqual[c, 3.2e-199], N[(y4 * N[(t$95$1 + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4.3e-90], t$95$2, If[LessEqual[c, 2.4e-42], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if c < -3.19999999999999993e103

   1. Initial program 21.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 36.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 43.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 43.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 43.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 43.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   if -3.19999999999999993e103 < c < -2.7e62

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 58.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around -inf 52.1%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 52.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot i\right) \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)} \]

      2. mul-1-neg 52.1%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-i\right)} \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right) \]

   6. Simplified 52.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-i\right) \cdot \left(z \cdot \left(c \cdot t - k \cdot y1\right)\right)\right)} \]

   if -2.7e62 < c < -5.6000000000000003e-16

   1. Initial program 40.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 54.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y2 around 0 57.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + b \cdot \left(j \cdot t - k \cdot y\right)\right) - -1 \cdot \left(c \cdot \left(y \cdot y3\right)\right)\right)} \]

   if -5.6000000000000003e-16 < c < -2.79999999999999984e-152 or 3.1999999999999999e-199 < c < 4.3000000000000002e-90

   1. Initial program 42.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 59.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -2.79999999999999984e-152 < c < 3.1999999999999999e-199

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in c around 0 54.2%

      \[\leadsto \color{blue}{y4 \cdot \left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   if 4.3000000000000002e-90 < c < 2.40000000000000003e-42

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 56.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 68.9%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 68.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 68.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 68.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 68.9%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   if 2.40000000000000003e-42 < c

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 45.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around 0 57.2%

      \[\leadsto \color{blue}{t \cdot \left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 57.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right)} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   6. Simplified 57.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 55.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -3.2 \cdot 10^{+103}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{+62}:\\ \;\;\;\;i \cdot \left(z \cdot \left(t \cdot c - k \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq -5.6 \cdot 10^{-16}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -2.8 \cdot 10^{-152}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-199}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{-90}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 2.4 \cdot 10^{-42}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 32.7% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y4 \leq -2.45 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{+112}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -7.6 \cdot 10^{-72}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.95 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-170}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{-216}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 4.2 \cdot 10^{-90}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y4 -2.45e+182)
   (* b (* y (- (* x a) (* k y4))))
   (if (<= y4 -2.8e+112)
     (* k (* y4 (- (* y1 y2) (* y b))))
     (if (<= y4 -7.6e-72)
       (* y1 (* z (- (* a y3) (* i k))))
       (if (<= y4 -1.95e-121)
         (* t (+ (* z (- (* c i) (* a b))) (* y2 (- (* a y5) (* c y4)))))
         (if (<= y4 -5.5e-170)
           (* y0 (* y5 (- (* j y3) (* k y2))))
           (if (<= y4 -2e-216)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y4 4.2e-90)
               (* i (* y (- (* k y5) (* x c))))
               (*
                y4
                (+
                 (- (* b (- (* t j) (* y k))) (* j (* y1 y3)))
                 (* c (* y y3))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -2.45e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -2.8e+112) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -7.6e-72) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.95e-121) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -5.5e-170) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -2e-216) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 4.2e-90) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else {
		tmp = y4 * (((b * ((t * j) - (y * k))) - (j * (y1 * y3))) + (c * (y * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y4 <= (-2.45d+182)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-2.8d+112)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-7.6d-72)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-1.95d-121)) then
        tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
    else if (y4 <= (-5.5d-170)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y4 <= (-2d-216)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 4.2d-90) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else
        tmp = y4 * (((b * ((t * j) - (y * k))) - (j * (y1 * y3))) + (c * (y * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -2.45e+182) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -2.8e+112) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -7.6e-72) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.95e-121) {
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	} else if (y4 <= -5.5e-170) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y4 <= -2e-216) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 4.2e-90) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else {
		tmp = y4 * (((b * ((t * j) - (y * k))) - (j * (y1 * y3))) + (c * (y * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y4 <= -2.45e+182:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -2.8e+112:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -7.6e-72:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -1.95e-121:
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))))
	elif y4 <= -5.5e-170:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y4 <= -2e-216:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 4.2e-90:
		tmp = i * (y * ((k * y5) - (x * c)))
	else:
		tmp = y4 * (((b * ((t * j) - (y * k))) - (j * (y1 * y3))) + (c * (y * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y4 <= -2.45e+182)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -2.8e+112)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -7.6e-72)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -1.95e-121)
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= -5.5e-170)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y4 <= -2e-216)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 4.2e-90)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	else
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) - Float64(j * Float64(y1 * y3))) + Float64(c * Float64(y * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y4 <= -2.45e+182)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -2.8e+112)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -7.6e-72)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -1.95e-121)
		tmp = t * ((z * ((c * i) - (a * b))) + (y2 * ((a * y5) - (c * y4))));
	elseif (y4 <= -5.5e-170)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y4 <= -2e-216)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 4.2e-90)
		tmp = i * (y * ((k * y5) - (x * c)));
	else
		tmp = y4 * (((b * ((t * j) - (y * k))) - (j * (y1 * y3))) + (c * (y * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y4, -2.45e+182], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.8e+112], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7.6e-72], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.95e-121], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5.5e-170], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2e-216], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.2e-90], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -2.45e182

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 44.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 61.5%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 61.5%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 61.5%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 61.5%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 61.5%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -2.45e182 < y4 < -2.8000000000000001e112

   1. Initial program 14.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 47.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around -inf 62.2%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 62.2%

         \[\leadsto \color{blue}{-k \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]

      2. *-commutative 62.2%

         \[\leadsto -\color{blue}{\left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot k} \]

      3. distribute-rgt-neg-in 62.2%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot \left(-k\right)} \]

      4. +-commutative 62.2%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \cdot \left(-k\right) \]

      5. mul-1-neg 62.2%

         \[\leadsto \left(y4 \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot \left(-k\right) \]

      6. unsub-neg 62.2%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \cdot \left(-k\right) \]

      7. *-commutative 62.2%

         \[\leadsto \left(y4 \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \cdot \left(-k\right) \]

   6. Simplified 62.2%

      \[\leadsto \color{blue}{\left(y4 \cdot \left(y \cdot b - y1 \cdot y2\right)\right) \cdot \left(-k\right)} \]

   if -2.8000000000000001e112 < y4 < -7.60000000000000004e-72

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 34.4%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around inf 46.9%

      \[\leadsto \color{blue}{y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)} \]

   if -7.60000000000000004e-72 < y4 < -1.95e-121

   1. Initial program 20.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 80.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around 0 80.4%

      \[\leadsto \color{blue}{t \cdot \left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 80.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right)} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   6. Simplified 80.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -1.95e-121 < y4 < -5.50000000000000018e-170

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y5 around -inf 50.9%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 60.3%

      \[\leadsto -1 \cdot \color{blue}{\left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} \]

   if -5.50000000000000018e-170 < y4 < -2.0000000000000001e-216

   1. Initial program 39.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 70.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.0000000000000001e-216 < y4 < 4.1999999999999998e-90

   1. Initial program 46.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 54.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 48.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.6%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 48.6%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 48.6%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 48.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   if 4.1999999999999998e-90 < y4

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 53.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in y2 around 0 55.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + b \cdot \left(j \cdot t - k \cdot y\right)\right) - -1 \cdot \left(c \cdot \left(y \cdot y3\right)\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 55.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.45 \cdot 10^{+182}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{+112}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -7.6 \cdot 10^{-72}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.95 \cdot 10^{-121}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -5.5 \cdot 10^{-170}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{-216}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 4.2 \cdot 10^{-90}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) - j \cdot \left(y1 \cdot y3\right)\right) + c \cdot \left(y \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 30.6% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -5 \cdot 10^{+181}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.32 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -4.8 \cdot 10^{-245}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 3.5 \cdot 10^{-274}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.5 \cdot 10^{-248}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-127}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.95 \cdot 10^{+118}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 7.8 \cdot 10^{+154}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y4 -5e+181)
     t_1
     (if (<= y4 -6.2e+115)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -1.32e-147)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -4.8e-245)
           (* a (* b (- (* x y) (* z t))))
           (if (<= y4 3.5e-274)
             (* i (* j (- (* x y1) (* t y5))))
             (if (<= y4 2.5e-248)
               t_1
               (if (<= y4 5.2e-127)
                 (* i (* y (* k y5)))
                 (if (<= y4 1.95e+118)
                   (* i (* x (- (* j y1) (* y c))))
                   (if (<= y4 7.8e+154)
                     (* b (* y4 (- (* t j) (* y k))))
                     (* (* y3 y4) (- (* y c) (* j y1))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -5e+181) {
		tmp = t_1;
	} else if (y4 <= -6.2e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.32e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -4.8e-245) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 3.5e-274) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 2.5e-248) {
		tmp = t_1;
	} else if (y4 <= 5.2e-127) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 1.95e+118) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y4 <= 7.8e+154) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    if (y4 <= (-5d+181)) then
        tmp = t_1
    else if (y4 <= (-6.2d+115)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-1.32d-147)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-4.8d-245)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 3.5d-274) then
        tmp = i * (j * ((x * y1) - (t * y5)))
    else if (y4 <= 2.5d-248) then
        tmp = t_1
    else if (y4 <= 5.2d-127) then
        tmp = i * (y * (k * y5))
    else if (y4 <= 1.95d+118) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (y4 <= 7.8d+154) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -5e+181) {
		tmp = t_1;
	} else if (y4 <= -6.2e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -1.32e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -4.8e-245) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 3.5e-274) {
		tmp = i * (j * ((x * y1) - (t * y5)));
	} else if (y4 <= 2.5e-248) {
		tmp = t_1;
	} else if (y4 <= 5.2e-127) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 1.95e+118) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y4 <= 7.8e+154) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y4 <= -5e+181:
		tmp = t_1
	elif y4 <= -6.2e+115:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -1.32e-147:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -4.8e-245:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 3.5e-274:
		tmp = i * (j * ((x * y1) - (t * y5)))
	elif y4 <= 2.5e-248:
		tmp = t_1
	elif y4 <= 5.2e-127:
		tmp = i * (y * (k * y5))
	elif y4 <= 1.95e+118:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif y4 <= 7.8e+154:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y4 <= -5e+181)
		tmp = t_1;
	elseif (y4 <= -6.2e+115)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -1.32e-147)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -4.8e-245)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 3.5e-274)
		tmp = Float64(i * Float64(j * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y4 <= 2.5e-248)
		tmp = t_1;
	elseif (y4 <= 5.2e-127)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y4 <= 1.95e+118)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (y4 <= 7.8e+154)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y4 <= -5e+181)
		tmp = t_1;
	elseif (y4 <= -6.2e+115)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -1.32e-147)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -4.8e-245)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 3.5e-274)
		tmp = i * (j * ((x * y1) - (t * y5)));
	elseif (y4 <= 2.5e-248)
		tmp = t_1;
	elseif (y4 <= 5.2e-127)
		tmp = i * (y * (k * y5));
	elseif (y4 <= 1.95e+118)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (y4 <= 7.8e+154)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -5e+181], t$95$1, If[LessEqual[y4, -6.2e+115], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.32e-147], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.8e-245], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.5e-274], N[(i * N[(j * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.5e-248], t$95$1, If[LessEqual[y4, 5.2e-127], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.95e+118], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7.8e+154], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -5.0000000000000003e181 or 3.49999999999999982e-274 < y4 < 2.5e-248

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 47.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 59.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 59.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 59.9%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 59.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 59.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -5.0000000000000003e181 < y4 < -6.2000000000000001e115

   1. Initial program 15.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around -inf 65.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 65.3%

         \[\leadsto \color{blue}{-k \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]

      2. *-commutative 65.3%

         \[\leadsto -\color{blue}{\left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot k} \]

      3. distribute-rgt-neg-in 65.3%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot \left(-k\right)} \]

      4. +-commutative 65.3%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \cdot \left(-k\right) \]

      5. mul-1-neg 65.3%

         \[\leadsto \left(y4 \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot \left(-k\right) \]

      6. unsub-neg 65.3%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \cdot \left(-k\right) \]

      7. *-commutative 65.3%

         \[\leadsto \left(y4 \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \cdot \left(-k\right) \]

   6. Simplified 65.3%

      \[\leadsto \color{blue}{\left(y4 \cdot \left(y \cdot b - y1 \cdot y2\right)\right) \cdot \left(-k\right)} \]

   if -6.2000000000000001e115 < y4 < -1.31999999999999989e-147

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 32.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around inf 41.8%

      \[\leadsto \color{blue}{y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)} \]

   if -1.31999999999999989e-147 < y4 < -4.8e-245

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 36.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 52.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -4.8e-245 < y4 < 3.49999999999999982e-274

   1. Initial program 47.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 68.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in j around inf 53.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]

   if 2.5e-248 < y4 < 5.19999999999999982e-127

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 53.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 43.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 43.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 43.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 43.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 43.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 43.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 43.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 43.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 5.19999999999999982e-127 < y4 < 1.95e118

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 45.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in x around inf 40.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]

   if 1.95e118 < y4 < 7.8000000000000006e154

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 77.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 89.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 7.8000000000000006e154 < y4

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 66.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around 0 74.4%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + k \cdot \left(y1 \cdot y2\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
   5. Step-by-step derivation

      1. +-commutative 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) + -1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      2. mul-1-neg 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \left(k \cdot \left(y1 \cdot y2\right) + \color{blue}{\left(-j \cdot \left(y1 \cdot y3\right)\right)}\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      3. unsub-neg 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   6. Simplified 74.4%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   7. Taylor expanded in y3 around -inf 63.7%

      \[\leadsto \color{blue}{y3 \cdot \left(y4 \cdot \left(-1 \cdot \left(j \cdot y1\right) + c \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 65.2%

         \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(-1 \cdot \left(j \cdot y1\right) + c \cdot y\right)} \]

      2. +-commutative 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \color{blue}{\left(c \cdot y + -1 \cdot \left(j \cdot y1\right)\right)} \]

      3. mul-1-neg 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \left(c \cdot y + \color{blue}{\left(-j \cdot y1\right)}\right) \]

      4. unsub-neg 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \color{blue}{\left(c \cdot y - j \cdot y1\right)} \]

      5. *-commutative 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \left(\color{blue}{y \cdot c} - j \cdot y1\right) \]

   9. Simplified 65.2%

      \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -5 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -1.32 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -4.8 \cdot 10^{-245}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 3.5 \cdot 10^{-274}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.5 \cdot 10^{-248}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-127}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.95 \cdot 10^{+118}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq 7.8 \cdot 10^{+154}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 29.1% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ t_2 := t \cdot j - y \cdot k\\ \mathbf{if}\;y4 \leq -3.1 \cdot 10^{+181}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -1.25 \cdot 10^{+150}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -4.4 \cdot 10^{+116}:\\ \;\;\;\;t\_2 \cdot \left(b \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.3 \cdot 10^{-246}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 2.8 \cdot 10^{-101}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+63}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot t\_2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))) (t_2 (- (* t j) (* y k))))
   (if (<= y4 -3.1e+181)
     t_1
     (if (<= y4 -1.25e+150)
       (* y1 (* k (- (* y2 y4) (* z i))))
       (if (<= y4 -4.4e+116)
         (* t_2 (* b y4))
         (if (<= y4 -1.75e-147)
           (* y1 (* z (- (* a y3) (* i k))))
           (if (<= y4 -2.5e-247)
             (* a (* b (- (* x y) (* z t))))
             (if (<= y4 2.7e-275)
               (* j (* t (- (* b y4) (* i y5))))
               (if (<= y4 1.3e-246)
                 t_1
                 (if (<= y4 2.8e-101)
                   (* i (* y (* k y5)))
                   (if (<= y4 6.5e+63)
                     (* b (* j (- (* t y4) (* x y0))))
                     (* b (* y4 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 * (y * ((x * a) - (k * y4)));
	double t_2 = (t * j) - (y * k);
	double tmp;
	if (y4 <= -3.1e+181) {
		tmp = t_1;
	} else if (y4 <= -1.25e+150) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y4 <= -4.4e+116) {
		tmp = t_2 * (b * y4);
	} else if (y4 <= -1.75e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2.5e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 2.7e-275) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y4 <= 1.3e-246) {
		tmp = t_1;
	} else if (y4 <= 2.8e-101) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 6.5e+63) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = b * (y4 * 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 = b * (y * ((x * a) - (k * y4)))
    t_2 = (t * j) - (y * k)
    if (y4 <= (-3.1d+181)) then
        tmp = t_1
    else if (y4 <= (-1.25d+150)) then
        tmp = y1 * (k * ((y2 * y4) - (z * i)))
    else if (y4 <= (-4.4d+116)) then
        tmp = t_2 * (b * y4)
    else if (y4 <= (-1.75d-147)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-2.5d-247)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 2.7d-275) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (y4 <= 1.3d-246) then
        tmp = t_1
    else if (y4 <= 2.8d-101) then
        tmp = i * (y * (k * y5))
    else if (y4 <= 6.5d+63) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else
        tmp = b * (y4 * 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 * (y * ((x * a) - (k * y4)));
	double t_2 = (t * j) - (y * k);
	double tmp;
	if (y4 <= -3.1e+181) {
		tmp = t_1;
	} else if (y4 <= -1.25e+150) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y4 <= -4.4e+116) {
		tmp = t_2 * (b * y4);
	} else if (y4 <= -1.75e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2.5e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 2.7e-275) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y4 <= 1.3e-246) {
		tmp = t_1;
	} else if (y4 <= 2.8e-101) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 6.5e+63) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = b * (y4 * 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 * (y * ((x * a) - (k * y4)))
	t_2 = (t * j) - (y * k)
	tmp = 0
	if y4 <= -3.1e+181:
		tmp = t_1
	elif y4 <= -1.25e+150:
		tmp = y1 * (k * ((y2 * y4) - (z * i)))
	elif y4 <= -4.4e+116:
		tmp = t_2 * (b * y4)
	elif y4 <= -1.75e-147:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -2.5e-247:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 2.7e-275:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif y4 <= 1.3e-246:
		tmp = t_1
	elif y4 <= 2.8e-101:
		tmp = i * (y * (k * y5))
	elif y4 <= 6.5e+63:
		tmp = b * (j * ((t * y4) - (x * y0)))
	else:
		tmp = b * (y4 * 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(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (y4 <= -3.1e+181)
		tmp = t_1;
	elseif (y4 <= -1.25e+150)
		tmp = Float64(y1 * Float64(k * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y4 <= -4.4e+116)
		tmp = Float64(t_2 * Float64(b * y4));
	elseif (y4 <= -1.75e-147)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -2.5e-247)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 2.7e-275)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y4 <= 1.3e-246)
		tmp = t_1;
	elseif (y4 <= 2.8e-101)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y4 <= 6.5e+63)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	else
		tmp = Float64(b * Float64(y4 * 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 * (y * ((x * a) - (k * y4)));
	t_2 = (t * j) - (y * k);
	tmp = 0.0;
	if (y4 <= -3.1e+181)
		tmp = t_1;
	elseif (y4 <= -1.25e+150)
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	elseif (y4 <= -4.4e+116)
		tmp = t_2 * (b * y4);
	elseif (y4 <= -1.75e-147)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -2.5e-247)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 2.7e-275)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (y4 <= 1.3e-246)
		tmp = t_1;
	elseif (y4 <= 2.8e-101)
		tmp = i * (y * (k * y5));
	elseif (y4 <= 6.5e+63)
		tmp = b * (j * ((t * y4) - (x * y0)));
	else
		tmp = b * (y4 * 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[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -3.1e+181], t$95$1, If[LessEqual[y4, -1.25e+150], N[(y1 * N[(k * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.4e+116], N[(t$95$2 * N[(b * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.75e-147], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.5e-247], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.7e-275], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.3e-246], t$95$1, If[LessEqual[y4, 2.8e-101], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.5e+63], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -3.09999999999999989e181 or 2.69999999999999993e-275 < y4 < 1.2999999999999999e-246

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 47.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 59.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 59.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 59.9%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 59.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 59.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -3.09999999999999989e181 < y4 < -1.25000000000000002e150

   1. Initial program 14.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 50.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in k around inf 58.3%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   if -1.25000000000000002e150 < y4 < -4.4e116

   1. Initial program 16.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 66.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 67.7%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. fma-neg 67.7%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\mathsf{fma}\left(j, t, -k \cdot y\right)}\right) \]

      2. associate-*r* 83.7%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \mathsf{fma}\left(j, t, -k \cdot y\right)} \]

      3. fma-neg 83.7%

         \[\leadsto \left(b \cdot y4\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)} \]

   6. Simplified 83.7%

      \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

   if -4.4e116 < y4 < -1.75000000000000002e-147

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 32.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around inf 41.8%

      \[\leadsto \color{blue}{y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)} \]

   if -1.75000000000000002e-147 < y4 < -2.49999999999999989e-247

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 54.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.49999999999999989e-247 < y4 < 2.69999999999999993e-275

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 56.1%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 50.7%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1.2999999999999999e-246 < y4 < 2.79999999999999989e-101

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 55.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 2.79999999999999989e-101 < y4 < 6.49999999999999992e63

   1. Initial program 21.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 28.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 6.49999999999999992e63 < y4

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 52.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 49.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -3.1 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.25 \cdot 10^{+150}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -4.4 \cdot 10^{+116}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.75 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.3 \cdot 10^{-246}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 2.8 \cdot 10^{-101}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+63}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 29.3% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ t_2 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ t_3 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;y1 \leq -1.35 \cdot 10^{+100}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+59}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y1 \leq -1 \cdot 10^{+48}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -3.5 \cdot 10^{-48}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{-137}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y1 \leq 2.7 \cdot 10^{-300}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.5 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 2.65 \cdot 10^{-19}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y1 \leq 1.9 \cdot 10^{+169}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (* k (* y1 y2))))
        (t_2 (* b (* y (- (* x a) (* k y4)))))
        (t_3 (* i (* y1 (- (* x j) (* z k))))))
   (if (<= y1 -1.35e+100)
     t_1
     (if (<= y1 -4e+59)
       t_3
       (if (<= y1 -1e+48)
         t_1
         (if (<= y1 -3.5e-48)
           t_2
           (if (<= y1 -4.6e-137)
             (* (- i) (* (* x y) c))
             (if (<= y1 2.7e-300)
               (* j (* t (- (* b y4) (* i y5))))
               (if (<= y1 2.5e-94)
                 (* t (* y4 (- (* b j) (* c y2))))
                 (if (<= y1 2.65e-19)
                   t_2
                   (if (<= y1 1.9e+169)
                     (* t (* y2 (- (* a y5) (* c y4))))
                     t_3)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (k * (y1 * y2));
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double t_3 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y1 <= -1.35e+100) {
		tmp = t_1;
	} else if (y1 <= -4e+59) {
		tmp = t_3;
	} else if (y1 <= -1e+48) {
		tmp = t_1;
	} else if (y1 <= -3.5e-48) {
		tmp = t_2;
	} else if (y1 <= -4.6e-137) {
		tmp = -i * ((x * y) * c);
	} else if (y1 <= 2.7e-300) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y1 <= 2.5e-94) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y1 <= 2.65e-19) {
		tmp = t_2;
	} else if (y1 <= 1.9e+169) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y4 * (k * (y1 * y2))
    t_2 = b * (y * ((x * a) - (k * y4)))
    t_3 = i * (y1 * ((x * j) - (z * k)))
    if (y1 <= (-1.35d+100)) then
        tmp = t_1
    else if (y1 <= (-4d+59)) then
        tmp = t_3
    else if (y1 <= (-1d+48)) then
        tmp = t_1
    else if (y1 <= (-3.5d-48)) then
        tmp = t_2
    else if (y1 <= (-4.6d-137)) then
        tmp = -i * ((x * y) * c)
    else if (y1 <= 2.7d-300) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (y1 <= 2.5d-94) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y1 <= 2.65d-19) then
        tmp = t_2
    else if (y1 <= 1.9d+169) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (k * (y1 * y2));
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double t_3 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y1 <= -1.35e+100) {
		tmp = t_1;
	} else if (y1 <= -4e+59) {
		tmp = t_3;
	} else if (y1 <= -1e+48) {
		tmp = t_1;
	} else if (y1 <= -3.5e-48) {
		tmp = t_2;
	} else if (y1 <= -4.6e-137) {
		tmp = -i * ((x * y) * c);
	} else if (y1 <= 2.7e-300) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y1 <= 2.5e-94) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y1 <= 2.65e-19) {
		tmp = t_2;
	} else if (y1 <= 1.9e+169) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y4 * (k * (y1 * y2))
	t_2 = b * (y * ((x * a) - (k * y4)))
	t_3 = i * (y1 * ((x * j) - (z * k)))
	tmp = 0
	if y1 <= -1.35e+100:
		tmp = t_1
	elif y1 <= -4e+59:
		tmp = t_3
	elif y1 <= -1e+48:
		tmp = t_1
	elif y1 <= -3.5e-48:
		tmp = t_2
	elif y1 <= -4.6e-137:
		tmp = -i * ((x * y) * c)
	elif y1 <= 2.7e-300:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif y1 <= 2.5e-94:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y1 <= 2.65e-19:
		tmp = t_2
	elif y1 <= 1.9e+169:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y4 * Float64(k * Float64(y1 * y2)))
	t_2 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	t_3 = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))))
	tmp = 0.0
	if (y1 <= -1.35e+100)
		tmp = t_1;
	elseif (y1 <= -4e+59)
		tmp = t_3;
	elseif (y1 <= -1e+48)
		tmp = t_1;
	elseif (y1 <= -3.5e-48)
		tmp = t_2;
	elseif (y1 <= -4.6e-137)
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	elseif (y1 <= 2.7e-300)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y1 <= 2.5e-94)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y1 <= 2.65e-19)
		tmp = t_2;
	elseif (y1 <= 1.9e+169)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y4 * (k * (y1 * y2));
	t_2 = b * (y * ((x * a) - (k * y4)));
	t_3 = i * (y1 * ((x * j) - (z * k)));
	tmp = 0.0;
	if (y1 <= -1.35e+100)
		tmp = t_1;
	elseif (y1 <= -4e+59)
		tmp = t_3;
	elseif (y1 <= -1e+48)
		tmp = t_1;
	elseif (y1 <= -3.5e-48)
		tmp = t_2;
	elseif (y1 <= -4.6e-137)
		tmp = -i * ((x * y) * c);
	elseif (y1 <= 2.7e-300)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (y1 <= 2.5e-94)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y1 <= 2.65e-19)
		tmp = t_2;
	elseif (y1 <= 1.9e+169)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y4 * N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -1.35e+100], t$95$1, If[LessEqual[y1, -4e+59], t$95$3, If[LessEqual[y1, -1e+48], t$95$1, If[LessEqual[y1, -3.5e-48], t$95$2, If[LessEqual[y1, -4.6e-137], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.7e-300], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.5e-94], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.65e-19], t$95$2, If[LessEqual[y1, 1.9e+169], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y1 < -1.34999999999999999e100 or -3.99999999999999989e59 < y1 < -1.00000000000000004e48

   1. Initial program 19.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 43.2%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 41.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 41.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 36.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 36.3%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right) \cdot k} \]

      2. *-commutative 36.3%

         \[\leadsto \color{blue}{\left(\left(y2 \cdot y4\right) \cdot y1\right)} \cdot k \]

      3. *-commutative 36.3%

         \[\leadsto \left(\color{blue}{\left(y4 \cdot y2\right)} \cdot y1\right) \cdot k \]

      4. associate-*r* 39.5%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y2 \cdot y1\right)\right)} \cdot k \]

      5. *-commutative 39.5%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(y1 \cdot y2\right)}\right) \cdot k \]

      6. associate-*r* 44.0%

         \[\leadsto \color{blue}{y4 \cdot \left(\left(y1 \cdot y2\right) \cdot k\right)} \]

      7. *-commutative 44.0%

         \[\leadsto y4 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   9. Simplified 44.0%

      \[\leadsto \color{blue}{y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   if -1.34999999999999999e100 < y1 < -3.99999999999999989e59 or 1.89999999999999996e169 < y1

   1. Initial program 25.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 65.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in i around inf 56.4%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -1.00000000000000004e48 < y1 < -3.49999999999999991e-48 or 2.4999999999999998e-94 < y1 < 2.64999999999999986e-19

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 56.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 54.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 54.3%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 54.3%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 54.3%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 54.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -3.49999999999999991e-48 < y1 < -4.60000000000000016e-137

   1. Initial program 27.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 59.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 68.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 68.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 68.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 68.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 68.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 51.2%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(x \cdot y\right)\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(c \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

   9. Simplified 51.2%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(y \cdot x\right)\right)}\right) \]

   if -4.60000000000000016e-137 < y1 < 2.69999999999999995e-300

   1. Initial program 37.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 26.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 40.1%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 2.69999999999999995e-300 < y1 < 2.4999999999999998e-94

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 48.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 51.0%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   if 2.64999999999999986e-19 < y1 < 1.89999999999999996e169

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 41.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 52.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 49.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.35 \cdot 10^{+100}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+59}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -1 \cdot 10^{+48}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -3.5 \cdot 10^{-48}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{-137}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y1 \leq 2.7 \cdot 10^{-300}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.5 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 2.65 \cdot 10^{-19}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 1.9 \cdot 10^{+169}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 29.2% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -2.7 \cdot 10^{+181}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 7.2 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{-248}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.12 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.42 \cdot 10^{+154}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y4 -2.7e+181)
     t_1
     (if (<= y4 -6.2e+115)
       (* k (* y4 (- (* y1 y2) (* y b))))
       (if (<= y4 -2.15e-147)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -2.5e-247)
           (* a (* b (- (* x y) (* z t))))
           (if (<= y4 7.2e-275)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= y4 9.5e-248)
               t_1
               (if (<= y4 1.12e-100)
                 (* i (* y (* k y5)))
                 (if (<= y4 1.42e+154)
                   (* b (* j (- (* t y4) (* x y0))))
                   (* (* y3 y4) (- (* y c) (* j y1)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -2.7e+181) {
		tmp = t_1;
	} else if (y4 <= -6.2e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -2.15e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2.5e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 7.2e-275) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y4 <= 9.5e-248) {
		tmp = t_1;
	} else if (y4 <= 1.12e-100) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 1.42e+154) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    if (y4 <= (-2.7d+181)) then
        tmp = t_1
    else if (y4 <= (-6.2d+115)) then
        tmp = k * (y4 * ((y1 * y2) - (y * b)))
    else if (y4 <= (-2.15d-147)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-2.5d-247)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 7.2d-275) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (y4 <= 9.5d-248) then
        tmp = t_1
    else if (y4 <= 1.12d-100) then
        tmp = i * (y * (k * y5))
    else if (y4 <= 1.42d+154) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -2.7e+181) {
		tmp = t_1;
	} else if (y4 <= -6.2e+115) {
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	} else if (y4 <= -2.15e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -2.5e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 7.2e-275) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y4 <= 9.5e-248) {
		tmp = t_1;
	} else if (y4 <= 1.12e-100) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 1.42e+154) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y4 <= -2.7e+181:
		tmp = t_1
	elif y4 <= -6.2e+115:
		tmp = k * (y4 * ((y1 * y2) - (y * b)))
	elif y4 <= -2.15e-147:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -2.5e-247:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 7.2e-275:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif y4 <= 9.5e-248:
		tmp = t_1
	elif y4 <= 1.12e-100:
		tmp = i * (y * (k * y5))
	elif y4 <= 1.42e+154:
		tmp = b * (j * ((t * y4) - (x * y0)))
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y4 <= -2.7e+181)
		tmp = t_1;
	elseif (y4 <= -6.2e+115)
		tmp = Float64(k * Float64(y4 * Float64(Float64(y1 * y2) - Float64(y * b))));
	elseif (y4 <= -2.15e-147)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -2.5e-247)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 7.2e-275)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y4 <= 9.5e-248)
		tmp = t_1;
	elseif (y4 <= 1.12e-100)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y4 <= 1.42e+154)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y4 <= -2.7e+181)
		tmp = t_1;
	elseif (y4 <= -6.2e+115)
		tmp = k * (y4 * ((y1 * y2) - (y * b)));
	elseif (y4 <= -2.15e-147)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -2.5e-247)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 7.2e-275)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (y4 <= 9.5e-248)
		tmp = t_1;
	elseif (y4 <= 1.12e-100)
		tmp = i * (y * (k * y5));
	elseif (y4 <= 1.42e+154)
		tmp = b * (j * ((t * y4) - (x * y0)));
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.7e+181], t$95$1, If[LessEqual[y4, -6.2e+115], N[(k * N[(y4 * N[(N[(y1 * y2), $MachinePrecision] - N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.15e-147], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.5e-247], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7.2e-275], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9.5e-248], t$95$1, If[LessEqual[y4, 1.12e-100], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.42e+154], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -2.70000000000000007e181 or 7.1999999999999994e-275 < y4 < 9.49999999999999971e-248

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 47.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 59.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 59.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 59.9%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 59.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 59.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -2.70000000000000007e181 < y4 < -6.2000000000000001e115

   1. Initial program 15.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around -inf 65.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 65.3%

         \[\leadsto \color{blue}{-k \cdot \left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]

      2. *-commutative 65.3%

         \[\leadsto -\color{blue}{\left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot k} \]

      3. distribute-rgt-neg-in 65.3%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot \left(-k\right)} \]

      4. +-commutative 65.3%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \cdot \left(-k\right) \]

      5. mul-1-neg 65.3%

         \[\leadsto \left(y4 \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot \left(-k\right) \]

      6. unsub-neg 65.3%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \cdot \left(-k\right) \]

      7. *-commutative 65.3%

         \[\leadsto \left(y4 \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \cdot \left(-k\right) \]

   6. Simplified 65.3%

      \[\leadsto \color{blue}{\left(y4 \cdot \left(y \cdot b - y1 \cdot y2\right)\right) \cdot \left(-k\right)} \]

   if -6.2000000000000001e115 < y4 < -2.1500000000000001e-147

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 32.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around inf 41.8%

      \[\leadsto \color{blue}{y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)} \]

   if -2.1500000000000001e-147 < y4 < -2.49999999999999989e-247

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 54.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.49999999999999989e-247 < y4 < 7.1999999999999994e-275

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 56.1%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 50.7%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 9.49999999999999971e-248 < y4 < 1.11999999999999996e-100

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 55.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 1.11999999999999996e-100 < y4 < 1.42e154

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 37.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 39.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.42e154 < y4

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 66.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around 0 74.4%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + k \cdot \left(y1 \cdot y2\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
   5. Step-by-step derivation

      1. +-commutative 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) + -1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      2. mul-1-neg 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \left(k \cdot \left(y1 \cdot y2\right) + \color{blue}{\left(-j \cdot \left(y1 \cdot y3\right)\right)}\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      3. unsub-neg 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   6. Simplified 74.4%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   7. Taylor expanded in y3 around -inf 63.7%

      \[\leadsto \color{blue}{y3 \cdot \left(y4 \cdot \left(-1 \cdot \left(j \cdot y1\right) + c \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 65.2%

         \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(-1 \cdot \left(j \cdot y1\right) + c \cdot y\right)} \]

      2. +-commutative 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \color{blue}{\left(c \cdot y + -1 \cdot \left(j \cdot y1\right)\right)} \]

      3. mul-1-neg 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \left(c \cdot y + \color{blue}{\left(-j \cdot y1\right)}\right) \]

      4. unsub-neg 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \color{blue}{\left(c \cdot y - j \cdot y1\right)} \]

      5. *-commutative 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \left(\color{blue}{y \cdot c} - j \cdot y1\right) \]

   9. Simplified 65.2%

      \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 50.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.7 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -6.2 \cdot 10^{+115}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2 - y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.15 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 7.2 \cdot 10^{-275}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{-248}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.12 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.42 \cdot 10^{+154}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 28.7% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y4 \leq -2.55 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.15 \cdot 10^{+151}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -1.2 \cdot 10^{+116}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.32 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.02 \cdot 10^{-246}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 8.8 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.5 \cdot 10^{+154}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y4 -2.55e+181)
   (* b (* y (- (* x a) (* k y4))))
   (if (<= y4 -1.15e+151)
     (* y1 (* k (- (* y2 y4) (* z i))))
     (if (<= y4 -1.2e+116)
       (* (- (* t j) (* y k)) (* b y4))
       (if (<= y4 -1.32e-147)
         (* y1 (* z (- (* a y3) (* i k))))
         (if (<= y4 -1.02e-246)
           (* a (* b (- (* x y) (* z t))))
           (if (<= y4 8.8e-100)
             (* i (* y (* k y5)))
             (if (<= y4 1.5e+154)
               (* b (* j (- (* t y4) (* x y0))))
               (* (* y3 y4) (- (* y c) (* j y1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -2.55e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -1.15e+151) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y4 <= -1.2e+116) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else if (y4 <= -1.32e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.02e-246) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 8.8e-100) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 1.5e+154) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y4 <= (-2.55d+181)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y4 <= (-1.15d+151)) then
        tmp = y1 * (k * ((y2 * y4) - (z * i)))
    else if (y4 <= (-1.2d+116)) then
        tmp = ((t * j) - (y * k)) * (b * y4)
    else if (y4 <= (-1.32d-147)) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (y4 <= (-1.02d-246)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 8.8d-100) then
        tmp = i * (y * (k * y5))
    else if (y4 <= 1.5d+154) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else
        tmp = (y3 * y4) * ((y * c) - (j * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -2.55e+181) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y4 <= -1.15e+151) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y4 <= -1.2e+116) {
		tmp = ((t * j) - (y * k)) * (b * y4);
	} else if (y4 <= -1.32e-147) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (y4 <= -1.02e-246) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 8.8e-100) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 1.5e+154) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y4 <= -2.55e+181:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y4 <= -1.15e+151:
		tmp = y1 * (k * ((y2 * y4) - (z * i)))
	elif y4 <= -1.2e+116:
		tmp = ((t * j) - (y * k)) * (b * y4)
	elif y4 <= -1.32e-147:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif y4 <= -1.02e-246:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 8.8e-100:
		tmp = i * (y * (k * y5))
	elif y4 <= 1.5e+154:
		tmp = b * (j * ((t * y4) - (x * y0)))
	else:
		tmp = (y3 * y4) * ((y * c) - (j * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y4 <= -2.55e+181)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y4 <= -1.15e+151)
		tmp = Float64(y1 * Float64(k * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y4 <= -1.2e+116)
		tmp = Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(b * y4));
	elseif (y4 <= -1.32e-147)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (y4 <= -1.02e-246)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 8.8e-100)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y4 <= 1.5e+154)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	else
		tmp = Float64(Float64(y3 * y4) * Float64(Float64(y * c) - Float64(j * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y4 <= -2.55e+181)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y4 <= -1.15e+151)
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	elseif (y4 <= -1.2e+116)
		tmp = ((t * j) - (y * k)) * (b * y4);
	elseif (y4 <= -1.32e-147)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (y4 <= -1.02e-246)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 8.8e-100)
		tmp = i * (y * (k * y5));
	elseif (y4 <= 1.5e+154)
		tmp = b * (j * ((t * y4) - (x * y0)));
	else
		tmp = (y3 * y4) * ((y * c) - (j * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y4, -2.55e+181], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.15e+151], N[(y1 * N[(k * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.2e+116], N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(b * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.32e-147], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.02e-246], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 8.8e-100], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.5e+154], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y3 * y4), $MachinePrecision] * N[(N[(y * c), $MachinePrecision] - N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -2.55e181

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 44.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 61.5%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 61.5%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 61.5%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 61.5%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 61.5%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -2.55e181 < y4 < -1.15e151

   1. Initial program 14.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 50.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in k around inf 58.3%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   if -1.15e151 < y4 < -1.2e116

   1. Initial program 16.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 66.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 67.7%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. fma-neg 67.7%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\mathsf{fma}\left(j, t, -k \cdot y\right)}\right) \]

      2. associate-*r* 83.7%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \mathsf{fma}\left(j, t, -k \cdot y\right)} \]

      3. fma-neg 83.7%

         \[\leadsto \left(b \cdot y4\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)} \]

   6. Simplified 83.7%

      \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

   if -1.2e116 < y4 < -1.31999999999999989e-147

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 32.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in z around inf 41.8%

      \[\leadsto \color{blue}{y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)} \]

   if -1.31999999999999989e-147 < y4 < -1.02e-246

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 54.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -1.02e-246 < y4 < 8.79999999999999957e-100

   1. Initial program 47.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 57.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 48.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 48.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 48.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 48.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 38.4%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 38.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 38.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 38.4%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 8.79999999999999957e-100 < y4 < 1.50000000000000013e154

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 37.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 39.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.50000000000000013e154 < y4

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 66.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   4. Taylor expanded in k around 0 74.4%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(-1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right) + k \cdot \left(y1 \cdot y2\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]
   5. Step-by-step derivation

      1. +-commutative 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) + -1 \cdot \left(j \cdot \left(y1 \cdot y3\right)\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      2. mul-1-neg 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \left(k \cdot \left(y1 \cdot y2\right) + \color{blue}{\left(-j \cdot \left(y1 \cdot y3\right)\right)}\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      3. unsub-neg 74.4%

         \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   6. Simplified 74.4%

      \[\leadsto y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + \color{blue}{\left(k \cdot \left(y1 \cdot y2\right) - j \cdot \left(y1 \cdot y3\right)\right)}\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

   7. Taylor expanded in y3 around -inf 63.7%

      \[\leadsto \color{blue}{y3 \cdot \left(y4 \cdot \left(-1 \cdot \left(j \cdot y1\right) + c \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 65.2%

         \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(-1 \cdot \left(j \cdot y1\right) + c \cdot y\right)} \]

      2. +-commutative 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \color{blue}{\left(c \cdot y + -1 \cdot \left(j \cdot y1\right)\right)} \]

      3. mul-1-neg 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \left(c \cdot y + \color{blue}{\left(-j \cdot y1\right)}\right) \]

      4. unsub-neg 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \color{blue}{\left(c \cdot y - j \cdot y1\right)} \]

      5. *-commutative 65.2%

         \[\leadsto \left(y3 \cdot y4\right) \cdot \left(\color{blue}{y \cdot c} - j \cdot y1\right) \]

   9. Simplified 65.2%

      \[\leadsto \color{blue}{\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 48.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.55 \cdot 10^{+181}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.15 \cdot 10^{+151}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq -1.2 \cdot 10^{+116}:\\ \;\;\;\;\left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.32 \cdot 10^{-147}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -1.02 \cdot 10^{-246}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 8.8 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.5 \cdot 10^{+154}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c - j \cdot y1\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 30.4% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y1 \leq -3.2 \cdot 10^{+46}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y1 \leq -6.8 \cdot 10^{-48}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -9.5 \cdot 10^{-137}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y1 \leq 1.85 \cdot 10^{-298}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.35 \cdot 10^{-93}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 1.9 \cdot 10^{-21}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq 2.4 \cdot 10^{+169}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y1 -3.2e+46)
     (* y1 (* k (- (* y2 y4) (* z i))))
     (if (<= y1 -6.8e-48)
       t_1
       (if (<= y1 -9.5e-137)
         (* (- i) (* (* x y) c))
         (if (<= y1 1.85e-298)
           (* j (* t (- (* b y4) (* i y5))))
           (if (<= y1 1.35e-93)
             (* t (* y4 (- (* b j) (* c y2))))
             (if (<= y1 1.9e-21)
               t_1
               (if (<= y1 2.4e+169)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 (* i (* y1 (- (* x j) (* z k)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y1 <= -3.2e+46) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y1 <= -6.8e-48) {
		tmp = t_1;
	} else if (y1 <= -9.5e-137) {
		tmp = -i * ((x * y) * c);
	} else if (y1 <= 1.85e-298) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y1 <= 1.35e-93) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y1 <= 1.9e-21) {
		tmp = t_1;
	} else if (y1 <= 2.4e+169) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = i * (y1 * ((x * j) - (z * k)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    if (y1 <= (-3.2d+46)) then
        tmp = y1 * (k * ((y2 * y4) - (z * i)))
    else if (y1 <= (-6.8d-48)) then
        tmp = t_1
    else if (y1 <= (-9.5d-137)) then
        tmp = -i * ((x * y) * c)
    else if (y1 <= 1.85d-298) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (y1 <= 1.35d-93) then
        tmp = t * (y4 * ((b * j) - (c * y2)))
    else if (y1 <= 1.9d-21) then
        tmp = t_1
    else if (y1 <= 2.4d+169) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = i * (y1 * ((x * j) - (z * k)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y1 <= -3.2e+46) {
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	} else if (y1 <= -6.8e-48) {
		tmp = t_1;
	} else if (y1 <= -9.5e-137) {
		tmp = -i * ((x * y) * c);
	} else if (y1 <= 1.85e-298) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (y1 <= 1.35e-93) {
		tmp = t * (y4 * ((b * j) - (c * y2)));
	} else if (y1 <= 1.9e-21) {
		tmp = t_1;
	} else if (y1 <= 2.4e+169) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = i * (y1 * ((x * j) - (z * k)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y1 <= -3.2e+46:
		tmp = y1 * (k * ((y2 * y4) - (z * i)))
	elif y1 <= -6.8e-48:
		tmp = t_1
	elif y1 <= -9.5e-137:
		tmp = -i * ((x * y) * c)
	elif y1 <= 1.85e-298:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif y1 <= 1.35e-93:
		tmp = t * (y4 * ((b * j) - (c * y2)))
	elif y1 <= 1.9e-21:
		tmp = t_1
	elif y1 <= 2.4e+169:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = i * (y1 * ((x * j) - (z * k)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y1 <= -3.2e+46)
		tmp = Float64(y1 * Float64(k * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y1 <= -6.8e-48)
		tmp = t_1;
	elseif (y1 <= -9.5e-137)
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	elseif (y1 <= 1.85e-298)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y1 <= 1.35e-93)
		tmp = Float64(t * Float64(y4 * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (y1 <= 1.9e-21)
		tmp = t_1;
	elseif (y1 <= 2.4e+169)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y1 <= -3.2e+46)
		tmp = y1 * (k * ((y2 * y4) - (z * i)));
	elseif (y1 <= -6.8e-48)
		tmp = t_1;
	elseif (y1 <= -9.5e-137)
		tmp = -i * ((x * y) * c);
	elseif (y1 <= 1.85e-298)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (y1 <= 1.35e-93)
		tmp = t * (y4 * ((b * j) - (c * y2)));
	elseif (y1 <= 1.9e-21)
		tmp = t_1;
	elseif (y1 <= 2.4e+169)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = i * (y1 * ((x * j) - (z * k)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -3.2e+46], N[(y1 * N[(k * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -6.8e-48], t$95$1, If[LessEqual[y1, -9.5e-137], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.85e-298], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.35e-93], N[(t * N[(y4 * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.9e-21], t$95$1, If[LessEqual[y1, 2.4e+169], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y1 < -3.1999999999999998e46

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 45.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in k around inf 45.3%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   if -3.1999999999999998e46 < y1 < -6.80000000000000056e-48 or 1.3500000000000001e-93 < y1 < 1.8999999999999999e-21

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 56.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 54.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 54.3%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 54.3%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 54.3%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 54.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -6.80000000000000056e-48 < y1 < -9.5000000000000007e-137

   1. Initial program 27.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 59.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 68.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 68.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 68.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 68.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 68.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 51.2%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(x \cdot y\right)\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(c \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

   9. Simplified 51.2%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(y \cdot x\right)\right)}\right) \]

   if -9.5000000000000007e-137 < y1 < 1.8499999999999999e-298

   1. Initial program 37.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 26.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 40.1%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1.8499999999999999e-298 < y1 < 1.3500000000000001e-93

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 48.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 51.0%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   if 1.8999999999999999e-21 < y1 < 2.3999999999999998e169

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 41.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 52.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 2.3999999999999998e169 < y1

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 69.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in i around inf 56.7%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 49.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -3.2 \cdot 10^{+46}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y1 \leq -6.8 \cdot 10^{-48}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -9.5 \cdot 10^{-137}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y1 \leq 1.85 \cdot 10^{-298}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.35 \cdot 10^{-93}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 1.9 \cdot 10^{-21}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.4 \cdot 10^{+169}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 29.6% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ t_2 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ t_3 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;y1 \leq -4.2 \cdot 10^{+99}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -1.55 \cdot 10^{+60}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{+48}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y1 \leq -5.4 \cdot 10^{-48}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y1 \leq -3.15 \cdot 10^{-84}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y1 \leq 5.9 \cdot 10^{-28}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y1 \leq 2.9 \cdot 10^{+168}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y4 (* k (* y1 y2))))
        (t_2 (* b (* y (- (* x a) (* k y4)))))
        (t_3 (* i (* y1 (- (* x j) (* z k))))))
   (if (<= y1 -4.2e+99)
     t_1
     (if (<= y1 -1.55e+60)
       t_3
       (if (<= y1 -1.35e+48)
         t_1
         (if (<= y1 -5.4e-48)
           t_2
           (if (<= y1 -3.15e-84)
             (* (- i) (* (* x y) c))
             (if (<= y1 5.9e-28)
               t_2
               (if (<= y1 2.9e+168)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 t_3)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (k * (y1 * y2));
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double t_3 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y1 <= -4.2e+99) {
		tmp = t_1;
	} else if (y1 <= -1.55e+60) {
		tmp = t_3;
	} else if (y1 <= -1.35e+48) {
		tmp = t_1;
	} else if (y1 <= -5.4e-48) {
		tmp = t_2;
	} else if (y1 <= -3.15e-84) {
		tmp = -i * ((x * y) * c);
	} else if (y1 <= 5.9e-28) {
		tmp = t_2;
	} else if (y1 <= 2.9e+168) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y4 * (k * (y1 * y2))
    t_2 = b * (y * ((x * a) - (k * y4)))
    t_3 = i * (y1 * ((x * j) - (z * k)))
    if (y1 <= (-4.2d+99)) then
        tmp = t_1
    else if (y1 <= (-1.55d+60)) then
        tmp = t_3
    else if (y1 <= (-1.35d+48)) then
        tmp = t_1
    else if (y1 <= (-5.4d-48)) then
        tmp = t_2
    else if (y1 <= (-3.15d-84)) then
        tmp = -i * ((x * y) * c)
    else if (y1 <= 5.9d-28) then
        tmp = t_2
    else if (y1 <= 2.9d+168) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (k * (y1 * y2));
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double t_3 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y1 <= -4.2e+99) {
		tmp = t_1;
	} else if (y1 <= -1.55e+60) {
		tmp = t_3;
	} else if (y1 <= -1.35e+48) {
		tmp = t_1;
	} else if (y1 <= -5.4e-48) {
		tmp = t_2;
	} else if (y1 <= -3.15e-84) {
		tmp = -i * ((x * y) * c);
	} else if (y1 <= 5.9e-28) {
		tmp = t_2;
	} else if (y1 <= 2.9e+168) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y4 * (k * (y1 * y2))
	t_2 = b * (y * ((x * a) - (k * y4)))
	t_3 = i * (y1 * ((x * j) - (z * k)))
	tmp = 0
	if y1 <= -4.2e+99:
		tmp = t_1
	elif y1 <= -1.55e+60:
		tmp = t_3
	elif y1 <= -1.35e+48:
		tmp = t_1
	elif y1 <= -5.4e-48:
		tmp = t_2
	elif y1 <= -3.15e-84:
		tmp = -i * ((x * y) * c)
	elif y1 <= 5.9e-28:
		tmp = t_2
	elif y1 <= 2.9e+168:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y4 * Float64(k * Float64(y1 * y2)))
	t_2 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	t_3 = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))))
	tmp = 0.0
	if (y1 <= -4.2e+99)
		tmp = t_1;
	elseif (y1 <= -1.55e+60)
		tmp = t_3;
	elseif (y1 <= -1.35e+48)
		tmp = t_1;
	elseif (y1 <= -5.4e-48)
		tmp = t_2;
	elseif (y1 <= -3.15e-84)
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	elseif (y1 <= 5.9e-28)
		tmp = t_2;
	elseif (y1 <= 2.9e+168)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y4 * (k * (y1 * y2));
	t_2 = b * (y * ((x * a) - (k * y4)));
	t_3 = i * (y1 * ((x * j) - (z * k)));
	tmp = 0.0;
	if (y1 <= -4.2e+99)
		tmp = t_1;
	elseif (y1 <= -1.55e+60)
		tmp = t_3;
	elseif (y1 <= -1.35e+48)
		tmp = t_1;
	elseif (y1 <= -5.4e-48)
		tmp = t_2;
	elseif (y1 <= -3.15e-84)
		tmp = -i * ((x * y) * c);
	elseif (y1 <= 5.9e-28)
		tmp = t_2;
	elseif (y1 <= 2.9e+168)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y4 * N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -4.2e+99], t$95$1, If[LessEqual[y1, -1.55e+60], t$95$3, If[LessEqual[y1, -1.35e+48], t$95$1, If[LessEqual[y1, -5.4e-48], t$95$2, If[LessEqual[y1, -3.15e-84], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 5.9e-28], t$95$2, If[LessEqual[y1, 2.9e+168], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y1 < -4.2000000000000002e99 or -1.55e60 < y1 < -1.35000000000000002e48

   1. Initial program 19.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 43.2%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 41.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 41.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 36.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 36.3%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right) \cdot k} \]

      2. *-commutative 36.3%

         \[\leadsto \color{blue}{\left(\left(y2 \cdot y4\right) \cdot y1\right)} \cdot k \]

      3. *-commutative 36.3%

         \[\leadsto \left(\color{blue}{\left(y4 \cdot y2\right)} \cdot y1\right) \cdot k \]

      4. associate-*r* 39.5%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y2 \cdot y1\right)\right)} \cdot k \]

      5. *-commutative 39.5%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(y1 \cdot y2\right)}\right) \cdot k \]

      6. associate-*r* 44.0%

         \[\leadsto \color{blue}{y4 \cdot \left(\left(y1 \cdot y2\right) \cdot k\right)} \]

      7. *-commutative 44.0%

         \[\leadsto y4 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   9. Simplified 44.0%

      \[\leadsto \color{blue}{y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   if -4.2000000000000002e99 < y1 < -1.55e60 or 2.9e168 < y1

   1. Initial program 25.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 65.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in i around inf 56.4%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -1.35000000000000002e48 < y1 < -5.40000000000000023e-48 or -3.1500000000000002e-84 < y1 < 5.9000000000000002e-28

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 38.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 38.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 38.9%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 38.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 38.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -5.40000000000000023e-48 < y1 < -3.1500000000000002e-84

   1. Initial program 22.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 66.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 88.9%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 88.9%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 88.9%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 88.9%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 88.9%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 78.5%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(x \cdot y\right)\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 78.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(c \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

   9. Simplified 78.5%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(y \cdot x\right)\right)}\right) \]

   if 5.9000000000000002e-28 < y1 < 2.9e168

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 41.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 52.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 46.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -4.2 \cdot 10^{+99}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -1.55 \cdot 10^{+60}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{+48}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -5.4 \cdot 10^{-48}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -3.15 \cdot 10^{-84}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{elif}\;y1 \leq 5.9 \cdot 10^{-28}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.9 \cdot 10^{+168}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 22.5% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;x \leq -3.4 \cdot 10^{+117}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -1.96 \cdot 10^{+52}:\\ \;\;\;\;\left(-y1\right) \cdot \left(y2 \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;x \leq -7900000000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{-253}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-59}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{+19}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= x -3.4e+117)
     t_1
     (if (<= x -1.96e+52)
       (* (- y1) (* y2 (* x a)))
       (if (<= x -7900000000.0)
         t_1
         (if (<= x -4.5e-61)
           (* t (* c (* y2 (- y4))))
           (if (<= x 1.1e-253)
             (* t (* b (* j y4)))
             (if (<= x 1.5e-59)
               (* y1 (* y2 (* k y4)))
               (if (<= x 1.5e+19)
                 (* t (* y4 (* b j)))
                 (* (- i) (* (* x y) c)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -3.4e+117) {
		tmp = t_1;
	} else if (x <= -1.96e+52) {
		tmp = -y1 * (y2 * (x * a));
	} else if (x <= -7900000000.0) {
		tmp = t_1;
	} else if (x <= -4.5e-61) {
		tmp = t * (c * (y2 * -y4));
	} else if (x <= 1.1e-253) {
		tmp = t * (b * (j * y4));
	} else if (x <= 1.5e-59) {
		tmp = y1 * (y2 * (k * y4));
	} else if (x <= 1.5e+19) {
		tmp = t * (y4 * (b * j));
	} else {
		tmp = -i * ((x * y) * c);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (x <= (-3.4d+117)) then
        tmp = t_1
    else if (x <= (-1.96d+52)) then
        tmp = -y1 * (y2 * (x * a))
    else if (x <= (-7900000000.0d0)) then
        tmp = t_1
    else if (x <= (-4.5d-61)) then
        tmp = t * (c * (y2 * -y4))
    else if (x <= 1.1d-253) then
        tmp = t * (b * (j * y4))
    else if (x <= 1.5d-59) then
        tmp = y1 * (y2 * (k * y4))
    else if (x <= 1.5d+19) then
        tmp = t * (y4 * (b * j))
    else
        tmp = -i * ((x * y) * c)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -3.4e+117) {
		tmp = t_1;
	} else if (x <= -1.96e+52) {
		tmp = -y1 * (y2 * (x * a));
	} else if (x <= -7900000000.0) {
		tmp = t_1;
	} else if (x <= -4.5e-61) {
		tmp = t * (c * (y2 * -y4));
	} else if (x <= 1.1e-253) {
		tmp = t * (b * (j * y4));
	} else if (x <= 1.5e-59) {
		tmp = y1 * (y2 * (k * y4));
	} else if (x <= 1.5e+19) {
		tmp = t * (y4 * (b * j));
	} else {
		tmp = -i * ((x * y) * c);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if x <= -3.4e+117:
		tmp = t_1
	elif x <= -1.96e+52:
		tmp = -y1 * (y2 * (x * a))
	elif x <= -7900000000.0:
		tmp = t_1
	elif x <= -4.5e-61:
		tmp = t * (c * (y2 * -y4))
	elif x <= 1.1e-253:
		tmp = t * (b * (j * y4))
	elif x <= 1.5e-59:
		tmp = y1 * (y2 * (k * y4))
	elif x <= 1.5e+19:
		tmp = t * (y4 * (b * j))
	else:
		tmp = -i * ((x * y) * c)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (x <= -3.4e+117)
		tmp = t_1;
	elseif (x <= -1.96e+52)
		tmp = Float64(Float64(-y1) * Float64(y2 * Float64(x * a)));
	elseif (x <= -7900000000.0)
		tmp = t_1;
	elseif (x <= -4.5e-61)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	elseif (x <= 1.1e-253)
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	elseif (x <= 1.5e-59)
		tmp = Float64(y1 * Float64(y2 * Float64(k * y4)));
	elseif (x <= 1.5e+19)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	else
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (x <= -3.4e+117)
		tmp = t_1;
	elseif (x <= -1.96e+52)
		tmp = -y1 * (y2 * (x * a));
	elseif (x <= -7900000000.0)
		tmp = t_1;
	elseif (x <= -4.5e-61)
		tmp = t * (c * (y2 * -y4));
	elseif (x <= 1.1e-253)
		tmp = t * (b * (j * y4));
	elseif (x <= 1.5e-59)
		tmp = y1 * (y2 * (k * y4));
	elseif (x <= 1.5e+19)
		tmp = t * (y4 * (b * j));
	else
		tmp = -i * ((x * y) * c);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3.4e+117], t$95$1, If[LessEqual[x, -1.96e+52], N[((-y1) * N[(y2 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -7900000000.0], t$95$1, If[LessEqual[x, -4.5e-61], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.1e-253], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.5e-59], N[(y1 * N[(y2 * N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.5e+19], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if x < -3.4000000000000001e117 or -1.95999999999999993e52 < x < -7.9e9

   1. Initial program 23.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 36.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 43.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 45.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.4%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 45.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -3.4000000000000001e117 < x < -1.95999999999999993e52

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 50.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 50.4%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 50.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 50.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 50.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 50.4%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around 0 43.4%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot x\right)\right)}\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 43.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-a \cdot x\right)}\right) \]

      2. distribute-rgt-neg-in 43.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(a \cdot \left(-x\right)\right)}\right) \]

   9. Simplified 43.4%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(a \cdot \left(-x\right)\right)}\right) \]

   if -7.9e9 < x < -4.5e-61

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 30.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.2%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around 0 41.5%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 41.5%

         \[\leadsto t \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y2 \cdot y4\right)\right)} \]

      2. neg-mul-1 41.5%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y2 \cdot y4\right)\right) \]

      3. *-commutative 41.5%

         \[\leadsto t \cdot \left(\left(-c\right) \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   7. Simplified 41.5%

      \[\leadsto t \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y4 \cdot y2\right)\right)} \]

   if -4.5e-61 < x < 1.09999999999999998e-253

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 54.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 33.6%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 31.3%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.3%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 31.3%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 1.09999999999999998e-253 < x < 1.5e-59

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 38.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 32.8%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 32.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   9. Simplified 32.8%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   if 1.5e-59 < x < 1.5e19

   1. Initial program 42.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 52.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 53.4%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 48.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(b \cdot j\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 48.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   7. Simplified 48.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   if 1.5e19 < x

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 40.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 40.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 40.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 40.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 38.5%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(x \cdot y\right)\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 38.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(c \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

   9. Simplified 38.5%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(y \cdot x\right)\right)}\right) \]
3. Recombined 7 regimes into one program.

4. Final simplification 38.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.4 \cdot 10^{+117}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq -1.96 \cdot 10^{+52}:\\ \;\;\;\;\left(-y1\right) \cdot \left(y2 \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;x \leq -7900000000:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{-253}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-59}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{+19}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 21.8% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;x \leq -1.5 \cdot 10^{+119}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -1.96 \cdot 10^{+52}:\\ \;\;\;\;\left(-y1\right) \cdot \left(y2 \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;x \leq -5.7 \cdot 10^{+19}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -5.9 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-253}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{-58}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+21}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= x -1.5e+119)
     t_1
     (if (<= x -1.96e+52)
       (* (- y1) (* y2 (* x a)))
       (if (<= x -5.7e+19)
         t_1
         (if (<= x -5.9e-61)
           (* t (* c (* y2 (- y4))))
           (if (<= x 3.6e-253)
             (* t (* b (* j y4)))
             (if (<= x 1.4e-58)
               (* y1 (* y2 (* k y4)))
               (if (<= x 8.2e+21)
                 (* t (* y4 (* b j)))
                 (* c (* (* y i) (- x))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -1.5e+119) {
		tmp = t_1;
	} else if (x <= -1.96e+52) {
		tmp = -y1 * (y2 * (x * a));
	} else if (x <= -5.7e+19) {
		tmp = t_1;
	} else if (x <= -5.9e-61) {
		tmp = t * (c * (y2 * -y4));
	} else if (x <= 3.6e-253) {
		tmp = t * (b * (j * y4));
	} else if (x <= 1.4e-58) {
		tmp = y1 * (y2 * (k * y4));
	} else if (x <= 8.2e+21) {
		tmp = t * (y4 * (b * j));
	} else {
		tmp = c * ((y * i) * -x);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (x <= (-1.5d+119)) then
        tmp = t_1
    else if (x <= (-1.96d+52)) then
        tmp = -y1 * (y2 * (x * a))
    else if (x <= (-5.7d+19)) then
        tmp = t_1
    else if (x <= (-5.9d-61)) then
        tmp = t * (c * (y2 * -y4))
    else if (x <= 3.6d-253) then
        tmp = t * (b * (j * y4))
    else if (x <= 1.4d-58) then
        tmp = y1 * (y2 * (k * y4))
    else if (x <= 8.2d+21) then
        tmp = t * (y4 * (b * j))
    else
        tmp = c * ((y * i) * -x)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -1.5e+119) {
		tmp = t_1;
	} else if (x <= -1.96e+52) {
		tmp = -y1 * (y2 * (x * a));
	} else if (x <= -5.7e+19) {
		tmp = t_1;
	} else if (x <= -5.9e-61) {
		tmp = t * (c * (y2 * -y4));
	} else if (x <= 3.6e-253) {
		tmp = t * (b * (j * y4));
	} else if (x <= 1.4e-58) {
		tmp = y1 * (y2 * (k * y4));
	} else if (x <= 8.2e+21) {
		tmp = t * (y4 * (b * j));
	} else {
		tmp = c * ((y * i) * -x);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if x <= -1.5e+119:
		tmp = t_1
	elif x <= -1.96e+52:
		tmp = -y1 * (y2 * (x * a))
	elif x <= -5.7e+19:
		tmp = t_1
	elif x <= -5.9e-61:
		tmp = t * (c * (y2 * -y4))
	elif x <= 3.6e-253:
		tmp = t * (b * (j * y4))
	elif x <= 1.4e-58:
		tmp = y1 * (y2 * (k * y4))
	elif x <= 8.2e+21:
		tmp = t * (y4 * (b * j))
	else:
		tmp = c * ((y * i) * -x)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (x <= -1.5e+119)
		tmp = t_1;
	elseif (x <= -1.96e+52)
		tmp = Float64(Float64(-y1) * Float64(y2 * Float64(x * a)));
	elseif (x <= -5.7e+19)
		tmp = t_1;
	elseif (x <= -5.9e-61)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	elseif (x <= 3.6e-253)
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	elseif (x <= 1.4e-58)
		tmp = Float64(y1 * Float64(y2 * Float64(k * y4)));
	elseif (x <= 8.2e+21)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	else
		tmp = Float64(c * Float64(Float64(y * i) * Float64(-x)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (x <= -1.5e+119)
		tmp = t_1;
	elseif (x <= -1.96e+52)
		tmp = -y1 * (y2 * (x * a));
	elseif (x <= -5.7e+19)
		tmp = t_1;
	elseif (x <= -5.9e-61)
		tmp = t * (c * (y2 * -y4));
	elseif (x <= 3.6e-253)
		tmp = t * (b * (j * y4));
	elseif (x <= 1.4e-58)
		tmp = y1 * (y2 * (k * y4));
	elseif (x <= 8.2e+21)
		tmp = t * (y4 * (b * j));
	else
		tmp = c * ((y * i) * -x);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.5e+119], t$95$1, If[LessEqual[x, -1.96e+52], N[((-y1) * N[(y2 * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.7e+19], t$95$1, If[LessEqual[x, -5.9e-61], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.6e-253], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.4e-58], N[(y1 * N[(y2 * N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.2e+21], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(y * i), $MachinePrecision] * (-x)), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if x < -1.50000000000000001e119 or -1.95999999999999993e52 < x < -5.7e19

   1. Initial program 23.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 36.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 43.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 45.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.4%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 45.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -1.50000000000000001e119 < x < -1.95999999999999993e52

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 50.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 50.4%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 50.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 50.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 50.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 50.4%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around 0 43.4%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot x\right)\right)}\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 43.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-a \cdot x\right)}\right) \]

      2. distribute-rgt-neg-in 43.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(a \cdot \left(-x\right)\right)}\right) \]

   9. Simplified 43.4%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(a \cdot \left(-x\right)\right)}\right) \]

   if -5.7e19 < x < -5.89999999999999972e-61

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 30.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.2%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around 0 41.5%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 41.5%

         \[\leadsto t \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y2 \cdot y4\right)\right)} \]

      2. neg-mul-1 41.5%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y2 \cdot y4\right)\right) \]

      3. *-commutative 41.5%

         \[\leadsto t \cdot \left(\left(-c\right) \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   7. Simplified 41.5%

      \[\leadsto t \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y4 \cdot y2\right)\right)} \]

   if -5.89999999999999972e-61 < x < 3.6e-253

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 54.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 33.6%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 31.3%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.3%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 31.3%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 3.6e-253 < x < 1.4e-58

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 38.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 32.8%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 32.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   9. Simplified 32.8%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   if 1.4e-58 < x < 8.2e21

   1. Initial program 42.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 52.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 53.4%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 48.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(b \cdot j\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 48.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   7. Simplified 48.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   if 8.2e21 < x

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 40.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 40.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 40.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 40.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 35.5%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 35.5%

         \[\leadsto -1 \cdot \left(c \cdot \left(i \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

      2. associate-*r* 32.4%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(i \cdot y\right) \cdot x\right)}\right) \]

      3. *-commutative 32.4%

         \[\leadsto -1 \cdot \left(c \cdot \left(\color{blue}{\left(y \cdot i\right)} \cdot x\right)\right) \]

   9. Simplified 32.4%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y \cdot i\right) \cdot x\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 37.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.5 \cdot 10^{+119}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq -1.96 \cdot 10^{+52}:\\ \;\;\;\;\left(-y1\right) \cdot \left(y2 \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;x \leq -5.7 \cdot 10^{+19}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq -5.9 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-253}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{-58}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+21}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 28.3% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -1.15 \cdot 10^{+203}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -1.15 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -8 \cdot 10^{-53}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -4 \cdot 10^{-275}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{-123}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-13}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y (* k y5)))))
   (if (<= k -1.15e+203)
     t_1
     (if (<= k -1.15e+165)
       (* y1 (* y4 (* k y2)))
       (if (<= k -8e-53)
         t_1
         (if (<= k -4e-275)
           (* c (* t (- (* z i) (* y2 y4))))
           (if (<= k 8.4e-123)
             (* a (* b (- (* x y) (* z t))))
             (if (<= k 1.25e-13)
               (* b (* j (- (* t y4) (* x y0))))
               (* b (* y (- (* x a) (* k y4))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * (k * y5));
	double tmp;
	if (k <= -1.15e+203) {
		tmp = t_1;
	} else if (k <= -1.15e+165) {
		tmp = y1 * (y4 * (k * y2));
	} else if (k <= -8e-53) {
		tmp = t_1;
	} else if (k <= -4e-275) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (k <= 8.4e-123) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (k <= 1.25e-13) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = b * (y * ((x * a) - (k * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y * (k * y5))
    if (k <= (-1.15d+203)) then
        tmp = t_1
    else if (k <= (-1.15d+165)) then
        tmp = y1 * (y4 * (k * y2))
    else if (k <= (-8d-53)) then
        tmp = t_1
    else if (k <= (-4d-275)) then
        tmp = c * (t * ((z * i) - (y2 * y4)))
    else if (k <= 8.4d-123) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (k <= 1.25d-13) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else
        tmp = b * (y * ((x * a) - (k * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * (k * y5));
	double tmp;
	if (k <= -1.15e+203) {
		tmp = t_1;
	} else if (k <= -1.15e+165) {
		tmp = y1 * (y4 * (k * y2));
	} else if (k <= -8e-53) {
		tmp = t_1;
	} else if (k <= -4e-275) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (k <= 8.4e-123) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (k <= 1.25e-13) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = b * (y * ((x * a) - (k * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y * (k * y5))
	tmp = 0
	if k <= -1.15e+203:
		tmp = t_1
	elif k <= -1.15e+165:
		tmp = y1 * (y4 * (k * y2))
	elif k <= -8e-53:
		tmp = t_1
	elif k <= -4e-275:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	elif k <= 8.4e-123:
		tmp = a * (b * ((x * y) - (z * t)))
	elif k <= 1.25e-13:
		tmp = b * (j * ((t * y4) - (x * y0)))
	else:
		tmp = b * (y * ((x * a) - (k * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y * Float64(k * y5)))
	tmp = 0.0
	if (k <= -1.15e+203)
		tmp = t_1;
	elseif (k <= -1.15e+165)
		tmp = Float64(y1 * Float64(y4 * Float64(k * y2)));
	elseif (k <= -8e-53)
		tmp = t_1;
	elseif (k <= -4e-275)
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	elseif (k <= 8.4e-123)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (k <= 1.25e-13)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	else
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y * (k * y5));
	tmp = 0.0;
	if (k <= -1.15e+203)
		tmp = t_1;
	elseif (k <= -1.15e+165)
		tmp = y1 * (y4 * (k * y2));
	elseif (k <= -8e-53)
		tmp = t_1;
	elseif (k <= -4e-275)
		tmp = c * (t * ((z * i) - (y2 * y4)));
	elseif (k <= 8.4e-123)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (k <= 1.25e-13)
		tmp = b * (j * ((t * y4) - (x * y0)));
	else
		tmp = b * (y * ((x * a) - (k * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.15e+203], t$95$1, If[LessEqual[k, -1.15e+165], N[(y1 * N[(y4 * N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -8e-53], t$95$1, If[LessEqual[k, -4e-275], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.4e-123], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.25e-13], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -1.15e203 or -1.15000000000000008e165 < k < -8.00000000000000025e-53

   1. Initial program 35.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 42.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 46.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 46.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 46.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 46.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 39.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 39.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 39.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 39.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if -1.15e203 < k < -1.15000000000000008e165

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 41.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 59.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 59.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 59.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 59.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 59.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 42.8%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 42.8%

         \[\leadsto y1 \cdot \left(k \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

      2. associate-*r* 42.8%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y4\right) \cdot y2\right)} \]

      3. *-commutative 42.8%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot k\right)} \cdot y2\right) \]

      4. associate-*r* 50.8%

         \[\leadsto y1 \cdot \color{blue}{\left(y4 \cdot \left(k \cdot y2\right)\right)} \]

   9. Simplified 50.8%

      \[\leadsto y1 \cdot \color{blue}{\left(y4 \cdot \left(k \cdot y2\right)\right)} \]

   if -8.00000000000000025e-53 < k < -3.99999999999999974e-275

   1. Initial program 11.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 32.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 49.4%

      \[\leadsto \color{blue}{c \cdot \left(t \cdot \left(i \cdot z - y2 \cdot y4\right)\right)} \]

   if -3.99999999999999974e-275 < k < 8.3999999999999997e-123

   1. Initial program 43.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 35.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if 8.3999999999999997e-123 < k < 1.24999999999999997e-13

   1. Initial program 18.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 41.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 63.9%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.24999999999999997e-13 < k

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.0%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 40.0%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 40.0%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 40.0%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.15 \cdot 10^{+203}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.15 \cdot 10^{+165}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -8 \cdot 10^{-53}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -4 \cdot 10^{-275}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{-123}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-13}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 29.1% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -4.2 \cdot 10^{-5}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -2.45 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 2.2 \cdot 10^{-308}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y4 \leq 10^{-246}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.8 \cdot 10^{-101}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y4 -4.2e-5)
     t_1
     (if (<= y4 -2.45e-247)
       (* a (* b (- (* x y) (* z t))))
       (if (<= y4 2.2e-308)
         (* c (* (* y i) (- x)))
         (if (<= y4 1e-246)
           t_1
           (if (<= y4 1.8e-101)
             (* i (* y (* k y5)))
             (if (<= y4 6.5e+61)
               (* b (* j (- (* t y4) (* x y0))))
               (* b (* y4 (- (* 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 t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -4.2e-5) {
		tmp = t_1;
	} else if (y4 <= -2.45e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 2.2e-308) {
		tmp = c * ((y * i) * -x);
	} else if (y4 <= 1e-246) {
		tmp = t_1;
	} else if (y4 <= 1.8e-101) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 6.5e+61) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = b * (y4 * ((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) :: t_1
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    if (y4 <= (-4.2d-5)) then
        tmp = t_1
    else if (y4 <= (-2.45d-247)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 2.2d-308) then
        tmp = c * ((y * i) * -x)
    else if (y4 <= 1d-246) then
        tmp = t_1
    else if (y4 <= 1.8d-101) then
        tmp = i * (y * (k * y5))
    else if (y4 <= 6.5d+61) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else
        tmp = b * (y4 * ((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 t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -4.2e-5) {
		tmp = t_1;
	} else if (y4 <= -2.45e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 2.2e-308) {
		tmp = c * ((y * i) * -x);
	} else if (y4 <= 1e-246) {
		tmp = t_1;
	} else if (y4 <= 1.8e-101) {
		tmp = i * (y * (k * y5));
	} else if (y4 <= 6.5e+61) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = b * (y4 * ((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):
	t_1 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y4 <= -4.2e-5:
		tmp = t_1
	elif y4 <= -2.45e-247:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 2.2e-308:
		tmp = c * ((y * i) * -x)
	elif y4 <= 1e-246:
		tmp = t_1
	elif y4 <= 1.8e-101:
		tmp = i * (y * (k * y5))
	elif y4 <= 6.5e+61:
		tmp = b * (j * ((t * y4) - (x * y0)))
	else:
		tmp = b * (y4 * ((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)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y4 <= -4.2e-5)
		tmp = t_1;
	elseif (y4 <= -2.45e-247)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 2.2e-308)
		tmp = Float64(c * Float64(Float64(y * i) * Float64(-x)));
	elseif (y4 <= 1e-246)
		tmp = t_1;
	elseif (y4 <= 1.8e-101)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y4 <= 6.5e+61)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	else
		tmp = Float64(b * Float64(y4 * 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)
	t_1 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y4 <= -4.2e-5)
		tmp = t_1;
	elseif (y4 <= -2.45e-247)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 2.2e-308)
		tmp = c * ((y * i) * -x);
	elseif (y4 <= 1e-246)
		tmp = t_1;
	elseif (y4 <= 1.8e-101)
		tmp = i * (y * (k * y5));
	elseif (y4 <= 6.5e+61)
		tmp = b * (j * ((t * y4) - (x * y0)));
	else
		tmp = b * (y4 * ((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_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4.2e-5], t$95$1, If[LessEqual[y4, -2.45e-247], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.2e-308], N[(c * N[(N[(y * i), $MachinePrecision] * (-x)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1e-246], t$95$1, If[LessEqual[y4, 1.8e-101], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.5e+61], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y4 < -4.19999999999999977e-5 or 2.2000000000000002e-308 < y4 < 9.99999999999999956e-247

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 45.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 44.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 44.9%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 44.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 44.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -4.19999999999999977e-5 < y4 < -2.45e-247

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 39.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -2.45e-247 < y4 < 2.2000000000000002e-308

   1. Initial program 63.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 82.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 56.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 56.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 56.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 56.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 47.4%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 47.4%

         \[\leadsto -1 \cdot \left(c \cdot \left(i \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

      2. associate-*r* 55.6%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(i \cdot y\right) \cdot x\right)}\right) \]

      3. *-commutative 55.6%

         \[\leadsto -1 \cdot \left(c \cdot \left(\color{blue}{\left(y \cdot i\right)} \cdot x\right)\right) \]

   9. Simplified 55.6%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y \cdot i\right) \cdot x\right)\right)} \]

   if 9.99999999999999956e-247 < y4 < 1.8e-101

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 55.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 1.8e-101 < y4 < 6.4999999999999996e61

   1. Initial program 21.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 28.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 6.4999999999999996e61 < y4

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 52.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 44.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4.2 \cdot 10^{-5}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -2.45 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 2.2 \cdot 10^{-308}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y4 \leq 10^{-246}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.8 \cdot 10^{-101}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 29.9% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y \leq -1.3 \cdot 10^{+272}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -3.4 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.26 \cdot 10^{+228}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y \leq -1400000000000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{-203}:\\ \;\;\;\;i \cdot \left(t \cdot \left(z \cdot c - j \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y -1.3e+272)
     t_1
     (if (<= y -3.4e+242)
       (* c (* t (- (* z i) (* y2 y4))))
       (if (<= y -1.26e+228)
         (* c (* (* y i) (- x)))
         (if (<= y -1400000000000.0)
           (* b (* y4 (- (* t j) (* y k))))
           (if (<= y 2.15e-203) (* i (* t (- (* z c) (* j y5)))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y <= -1.3e+272) {
		tmp = t_1;
	} else if (y <= -3.4e+242) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (y <= -1.26e+228) {
		tmp = c * ((y * i) * -x);
	} else if (y <= -1400000000000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= 2.15e-203) {
		tmp = i * (t * ((z * c) - (j * y5)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    if (y <= (-1.3d+272)) then
        tmp = t_1
    else if (y <= (-3.4d+242)) then
        tmp = c * (t * ((z * i) - (y2 * y4)))
    else if (y <= (-1.26d+228)) then
        tmp = c * ((y * i) * -x)
    else if (y <= (-1400000000000.0d0)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y <= 2.15d-203) then
        tmp = i * (t * ((z * c) - (j * y5)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y <= -1.3e+272) {
		tmp = t_1;
	} else if (y <= -3.4e+242) {
		tmp = c * (t * ((z * i) - (y2 * y4)));
	} else if (y <= -1.26e+228) {
		tmp = c * ((y * i) * -x);
	} else if (y <= -1400000000000.0) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= 2.15e-203) {
		tmp = i * (t * ((z * c) - (j * y5)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y <= -1.3e+272:
		tmp = t_1
	elif y <= -3.4e+242:
		tmp = c * (t * ((z * i) - (y2 * y4)))
	elif y <= -1.26e+228:
		tmp = c * ((y * i) * -x)
	elif y <= -1400000000000.0:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y <= 2.15e-203:
		tmp = i * (t * ((z * c) - (j * y5)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y <= -1.3e+272)
		tmp = t_1;
	elseif (y <= -3.4e+242)
		tmp = Float64(c * Float64(t * Float64(Float64(z * i) - Float64(y2 * y4))));
	elseif (y <= -1.26e+228)
		tmp = Float64(c * Float64(Float64(y * i) * Float64(-x)));
	elseif (y <= -1400000000000.0)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y <= 2.15e-203)
		tmp = Float64(i * Float64(t * Float64(Float64(z * c) - Float64(j * y5))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y <= -1.3e+272)
		tmp = t_1;
	elseif (y <= -3.4e+242)
		tmp = c * (t * ((z * i) - (y2 * y4)));
	elseif (y <= -1.26e+228)
		tmp = c * ((y * i) * -x);
	elseif (y <= -1400000000000.0)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y <= 2.15e-203)
		tmp = i * (t * ((z * c) - (j * y5)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.3e+272], t$95$1, If[LessEqual[y, -3.4e+242], N[(c * N[(t * N[(N[(z * i), $MachinePrecision] - N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.26e+228], N[(c * N[(N[(y * i), $MachinePrecision] * (-x)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1400000000000.0], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.15e-203], N[(i * N[(t * N[(N[(z * c), $MachinePrecision] - N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -1.3e272 or 2.15000000000000014e-203 < y

   1. Initial program 29.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 40.2%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.2%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 40.2%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 40.2%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -1.3e272 < y < -3.39999999999999982e242

   1. Initial program 22.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 66.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 66.8%

      \[\leadsto \color{blue}{c \cdot \left(t \cdot \left(i \cdot z - y2 \cdot y4\right)\right)} \]

   if -3.39999999999999982e242 < y < -1.26e228

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 28.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 57.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 57.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 57.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 57.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 57.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 57.8%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 57.8%

         \[\leadsto -1 \cdot \left(c \cdot \left(i \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

      2. associate-*r* 57.8%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(i \cdot y\right) \cdot x\right)}\right) \]

      3. *-commutative 57.8%

         \[\leadsto -1 \cdot \left(c \cdot \left(\color{blue}{\left(y \cdot i\right)} \cdot x\right)\right) \]

   9. Simplified 57.8%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y \cdot i\right) \cdot x\right)\right)} \]

   if -1.26e228 < y < -1.4e12

   1. Initial program 35.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 48.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.4e12 < y < 2.15000000000000014e-203

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 29.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in i around inf 40.2%

      \[\leadsto \color{blue}{i \cdot \left(t \cdot \left(-1 \cdot \left(j \cdot y5\right) + c \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.2%

         \[\leadsto i \cdot \left(t \cdot \color{blue}{\left(c \cdot z + -1 \cdot \left(j \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 40.2%

         \[\leadsto i \cdot \left(t \cdot \left(c \cdot z + \color{blue}{\left(-j \cdot y5\right)}\right)\right) \]

      3. unsub-neg 40.2%

         \[\leadsto i \cdot \left(t \cdot \color{blue}{\left(c \cdot z - j \cdot y5\right)}\right) \]

   6. Simplified 40.2%

      \[\leadsto \color{blue}{i \cdot \left(t \cdot \left(c \cdot z - j \cdot y5\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 43.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.3 \cdot 10^{+272}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -3.4 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(t \cdot \left(z \cdot i - y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.26 \cdot 10^{+228}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y \leq -1400000000000:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{-203}:\\ \;\;\;\;i \cdot \left(t \cdot \left(z \cdot c - j \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 28.0% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y4 \leq -1.5 \cdot 10^{-5}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -4 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-306}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y4 \leq 2 \cdot 10^{-248}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 7.8 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y4 -1.5e-5)
     t_1
     (if (<= y4 -4e-247)
       (* a (* b (- (* x y) (* z t))))
       (if (<= y4 5.2e-306)
         (* c (* (* y i) (- x)))
         (if (<= y4 2e-248)
           t_1
           (if (<= y4 7.8e-100)
             (* i (* y (* k y5)))
             (* b (* j (- (* t y4) (* x y0)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -1.5e-5) {
		tmp = t_1;
	} else if (y4 <= -4e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 5.2e-306) {
		tmp = c * ((y * i) * -x);
	} else if (y4 <= 2e-248) {
		tmp = t_1;
	} else if (y4 <= 7.8e-100) {
		tmp = i * (y * (k * y5));
	} else {
		tmp = b * (j * ((t * y4) - (x * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y * ((x * a) - (k * y4)))
    if (y4 <= (-1.5d-5)) then
        tmp = t_1
    else if (y4 <= (-4d-247)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y4 <= 5.2d-306) then
        tmp = c * ((y * i) * -x)
    else if (y4 <= 2d-248) then
        tmp = t_1
    else if (y4 <= 7.8d-100) then
        tmp = i * (y * (k * y5))
    else
        tmp = b * (j * ((t * y4) - (x * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y4 <= -1.5e-5) {
		tmp = t_1;
	} else if (y4 <= -4e-247) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y4 <= 5.2e-306) {
		tmp = c * ((y * i) * -x);
	} else if (y4 <= 2e-248) {
		tmp = t_1;
	} else if (y4 <= 7.8e-100) {
		tmp = i * (y * (k * y5));
	} else {
		tmp = b * (j * ((t * y4) - (x * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y4 <= -1.5e-5:
		tmp = t_1
	elif y4 <= -4e-247:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y4 <= 5.2e-306:
		tmp = c * ((y * i) * -x)
	elif y4 <= 2e-248:
		tmp = t_1
	elif y4 <= 7.8e-100:
		tmp = i * (y * (k * y5))
	else:
		tmp = b * (j * ((t * y4) - (x * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y4 <= -1.5e-5)
		tmp = t_1;
	elseif (y4 <= -4e-247)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y4 <= 5.2e-306)
		tmp = Float64(c * Float64(Float64(y * i) * Float64(-x)));
	elseif (y4 <= 2e-248)
		tmp = t_1;
	elseif (y4 <= 7.8e-100)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	else
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y4 <= -1.5e-5)
		tmp = t_1;
	elseif (y4 <= -4e-247)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y4 <= 5.2e-306)
		tmp = c * ((y * i) * -x);
	elseif (y4 <= 2e-248)
		tmp = t_1;
	elseif (y4 <= 7.8e-100)
		tmp = i * (y * (k * y5));
	else
		tmp = b * (j * ((t * y4) - (x * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.5e-5], t$95$1, If[LessEqual[y4, -4e-247], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.2e-306], N[(c * N[(N[(y * i), $MachinePrecision] * (-x)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2e-248], t$95$1, If[LessEqual[y4, 7.8e-100], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y4 < -1.50000000000000004e-5 or 5.2000000000000001e-306 < y4 < 1.99999999999999996e-248

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 45.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 44.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 44.9%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 44.9%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 44.9%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -1.50000000000000004e-5 < y4 < -4.0000000000000001e-247

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 39.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   if -4.0000000000000001e-247 < y4 < 5.2000000000000001e-306

   1. Initial program 63.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 82.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 56.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 56.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 56.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 56.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 47.4%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 47.4%

         \[\leadsto -1 \cdot \left(c \cdot \left(i \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

      2. associate-*r* 55.6%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(i \cdot y\right) \cdot x\right)}\right) \]

      3. *-commutative 55.6%

         \[\leadsto -1 \cdot \left(c \cdot \left(\color{blue}{\left(y \cdot i\right)} \cdot x\right)\right) \]

   9. Simplified 55.6%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y \cdot i\right) \cdot x\right)\right)} \]

   if 1.99999999999999996e-248 < y4 < 7.79999999999999955e-100

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 55.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 42.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 42.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 7.79999999999999955e-100 < y4

   1. Initial program 22.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 36.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 37.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 41.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.5 \cdot 10^{-5}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -4 \cdot 10^{-247}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y4 \leq 5.2 \cdot 10^{-306}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y4 \leq 2 \cdot 10^{-248}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 7.8 \cdot 10^{-100}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 21.5% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;j \leq -3.9 \cdot 10^{+158}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -1:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -2.25 \cdot 10^{-128}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-121}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 5 \cdot 10^{+149}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= j -3.9e+158)
   (* t (* y4 (* b j)))
   (if (<= j -1.0)
     (* y4 (* k (* y1 y2)))
     (if (<= j -2.25e-128)
       (* c (* (* y i) (- x)))
       (if (<= j 9.5e-121)
         (* i (* y (* k y5)))
         (if (<= j 5e+149) (* (- i) (* (* x y) c)) (* t (* b (* j y4)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -3.9e+158) {
		tmp = t * (y4 * (b * j));
	} else if (j <= -1.0) {
		tmp = y4 * (k * (y1 * y2));
	} else if (j <= -2.25e-128) {
		tmp = c * ((y * i) * -x);
	} else if (j <= 9.5e-121) {
		tmp = i * (y * (k * y5));
	} else if (j <= 5e+149) {
		tmp = -i * ((x * y) * c);
	} else {
		tmp = t * (b * (j * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (j <= (-3.9d+158)) then
        tmp = t * (y4 * (b * j))
    else if (j <= (-1.0d0)) then
        tmp = y4 * (k * (y1 * y2))
    else if (j <= (-2.25d-128)) then
        tmp = c * ((y * i) * -x)
    else if (j <= 9.5d-121) then
        tmp = i * (y * (k * y5))
    else if (j <= 5d+149) then
        tmp = -i * ((x * y) * c)
    else
        tmp = t * (b * (j * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (j <= -3.9e+158) {
		tmp = t * (y4 * (b * j));
	} else if (j <= -1.0) {
		tmp = y4 * (k * (y1 * y2));
	} else if (j <= -2.25e-128) {
		tmp = c * ((y * i) * -x);
	} else if (j <= 9.5e-121) {
		tmp = i * (y * (k * y5));
	} else if (j <= 5e+149) {
		tmp = -i * ((x * y) * c);
	} else {
		tmp = t * (b * (j * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if j <= -3.9e+158:
		tmp = t * (y4 * (b * j))
	elif j <= -1.0:
		tmp = y4 * (k * (y1 * y2))
	elif j <= -2.25e-128:
		tmp = c * ((y * i) * -x)
	elif j <= 9.5e-121:
		tmp = i * (y * (k * y5))
	elif j <= 5e+149:
		tmp = -i * ((x * y) * c)
	else:
		tmp = t * (b * (j * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (j <= -3.9e+158)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	elseif (j <= -1.0)
		tmp = Float64(y4 * Float64(k * Float64(y1 * y2)));
	elseif (j <= -2.25e-128)
		tmp = Float64(c * Float64(Float64(y * i) * Float64(-x)));
	elseif (j <= 9.5e-121)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (j <= 5e+149)
		tmp = Float64(Float64(-i) * Float64(Float64(x * y) * c));
	else
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (j <= -3.9e+158)
		tmp = t * (y4 * (b * j));
	elseif (j <= -1.0)
		tmp = y4 * (k * (y1 * y2));
	elseif (j <= -2.25e-128)
		tmp = c * ((y * i) * -x);
	elseif (j <= 9.5e-121)
		tmp = i * (y * (k * y5));
	elseif (j <= 5e+149)
		tmp = -i * ((x * y) * c);
	else
		tmp = t * (b * (j * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[j, -3.9e+158], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.0], N[(y4 * N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.25e-128], N[(c * N[(N[(y * i), $MachinePrecision] * (-x)), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 9.5e-121], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5e+149], N[((-i) * N[(N[(x * y), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -3.9e158

   1. Initial program 22.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 35.5%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 40.7%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 33.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(b \cdot j\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 33.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   7. Simplified 33.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   if -3.9e158 < j < -1

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 38.3%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 32.8%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 32.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 32.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 32.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 32.8%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 30.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 30.0%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right) \cdot k} \]

      2. *-commutative 30.0%

         \[\leadsto \color{blue}{\left(\left(y2 \cdot y4\right) \cdot y1\right)} \cdot k \]

      3. *-commutative 30.0%

         \[\leadsto \left(\color{blue}{\left(y4 \cdot y2\right)} \cdot y1\right) \cdot k \]

      4. associate-*r* 39.1%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y2 \cdot y1\right)\right)} \cdot k \]

      5. *-commutative 39.1%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(y1 \cdot y2\right)}\right) \cdot k \]

      6. associate-*r* 36.1%

         \[\leadsto \color{blue}{y4 \cdot \left(\left(y1 \cdot y2\right) \cdot k\right)} \]

      7. *-commutative 36.1%

         \[\leadsto y4 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   9. Simplified 36.1%

      \[\leadsto \color{blue}{y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   if -1 < j < -2.25e-128

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 58.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 43.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 43.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 43.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 43.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 28.3%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 28.3%

         \[\leadsto -1 \cdot \left(c \cdot \left(i \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

      2. associate-*r* 38.4%

         \[\leadsto -1 \cdot \left(c \cdot \color{blue}{\left(\left(i \cdot y\right) \cdot x\right)}\right) \]

      3. *-commutative 38.4%

         \[\leadsto -1 \cdot \left(c \cdot \left(\color{blue}{\left(y \cdot i\right)} \cdot x\right)\right) \]

   9. Simplified 38.4%

      \[\leadsto -1 \cdot \color{blue}{\left(c \cdot \left(\left(y \cdot i\right) \cdot x\right)\right)} \]

   if -2.25e-128 < j < 9.4999999999999994e-121

   1. Initial program 39.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 43.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 40.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 40.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 40.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 40.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 36.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 36.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 36.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 36.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if 9.4999999999999994e-121 < j < 4.9999999999999999e149

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 40.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 37.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 37.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 37.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 37.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 37.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around inf 33.6%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(x \cdot y\right)\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 33.6%

         \[\leadsto -1 \cdot \left(i \cdot \left(c \cdot \color{blue}{\left(y \cdot x\right)}\right)\right) \]

   9. Simplified 33.6%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(c \cdot \left(y \cdot x\right)\right)}\right) \]

   if 4.9999999999999999e149 < j

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 38.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 59.3%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 55.9%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.9%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 55.9%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 37.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -3.9 \cdot 10^{+158}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -1:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -2.25 \cdot 10^{-128}:\\ \;\;\;\;c \cdot \left(\left(y \cdot i\right) \cdot \left(-x\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-121}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 5 \cdot 10^{+149}:\\ \;\;\;\;\left(-i\right) \cdot \left(\left(x \cdot y\right) \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 22.8% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{if}\;y2 \leq -3.15 \cdot 10^{+46}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-287}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{-206}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{-16}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+80}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (- t) (* y4 (* c y2)))))
   (if (<= y2 -3.15e+46)
     t_1
     (if (<= y2 9e-287)
       (* a (* (* x y) b))
       (if (<= y2 3.5e-206)
         (* c (* i (* z t)))
         (if (<= y2 1.65e-16)
           (* x (* a (* y b)))
           (if (<= y2 2.1e+80) t_1 (* y4 (* k (* 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 t_1 = -t * (y4 * (c * y2));
	double tmp;
	if (y2 <= -3.15e+46) {
		tmp = t_1;
	} else if (y2 <= 9e-287) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 3.5e-206) {
		tmp = c * (i * (z * t));
	} else if (y2 <= 1.65e-16) {
		tmp = x * (a * (y * b));
	} else if (y2 <= 2.1e+80) {
		tmp = t_1;
	} else {
		tmp = y4 * (k * (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) :: t_1
    real(8) :: tmp
    t_1 = -t * (y4 * (c * y2))
    if (y2 <= (-3.15d+46)) then
        tmp = t_1
    else if (y2 <= 9d-287) then
        tmp = a * ((x * y) * b)
    else if (y2 <= 3.5d-206) then
        tmp = c * (i * (z * t))
    else if (y2 <= 1.65d-16) then
        tmp = x * (a * (y * b))
    else if (y2 <= 2.1d+80) then
        tmp = t_1
    else
        tmp = y4 * (k * (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 t_1 = -t * (y4 * (c * y2));
	double tmp;
	if (y2 <= -3.15e+46) {
		tmp = t_1;
	} else if (y2 <= 9e-287) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 3.5e-206) {
		tmp = c * (i * (z * t));
	} else if (y2 <= 1.65e-16) {
		tmp = x * (a * (y * b));
	} else if (y2 <= 2.1e+80) {
		tmp = t_1;
	} else {
		tmp = y4 * (k * (y1 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = -t * (y4 * (c * y2))
	tmp = 0
	if y2 <= -3.15e+46:
		tmp = t_1
	elif y2 <= 9e-287:
		tmp = a * ((x * y) * b)
	elif y2 <= 3.5e-206:
		tmp = c * (i * (z * t))
	elif y2 <= 1.65e-16:
		tmp = x * (a * (y * b))
	elif y2 <= 2.1e+80:
		tmp = t_1
	else:
		tmp = y4 * (k * (y1 * 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(-t) * Float64(y4 * Float64(c * y2)))
	tmp = 0.0
	if (y2 <= -3.15e+46)
		tmp = t_1;
	elseif (y2 <= 9e-287)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y2 <= 3.5e-206)
		tmp = Float64(c * Float64(i * Float64(z * t)));
	elseif (y2 <= 1.65e-16)
		tmp = Float64(x * Float64(a * Float64(y * b)));
	elseif (y2 <= 2.1e+80)
		tmp = t_1;
	else
		tmp = Float64(y4 * Float64(k * 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)
	t_1 = -t * (y4 * (c * y2));
	tmp = 0.0;
	if (y2 <= -3.15e+46)
		tmp = t_1;
	elseif (y2 <= 9e-287)
		tmp = a * ((x * y) * b);
	elseif (y2 <= 3.5e-206)
		tmp = c * (i * (z * t));
	elseif (y2 <= 1.65e-16)
		tmp = x * (a * (y * b));
	elseif (y2 <= 2.1e+80)
		tmp = t_1;
	else
		tmp = y4 * (k * (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_] := Block[{t$95$1 = N[((-t) * N[(y4 * N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.15e+46], t$95$1, If[LessEqual[y2, 9e-287], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.5e-206], N[(c * N[(i * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.65e-16], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.1e+80], t$95$1, N[(y4 * N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -3.15e46 or 1.64999999999999994e-16 < y2 < 2.10000000000000001e80

   1. Initial program 26.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.7%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around 0 39.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot y2\right)\right)}\right) \]
   6. Step-by-step derivation

      1. mul-1-neg 39.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(-c \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 39.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(\left(-c\right) \cdot y2\right)}\right) \]

      3. *-commutative 39.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(y2 \cdot \left(-c\right)\right)}\right) \]

   7. Simplified 39.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(y2 \cdot \left(-c\right)\right)}\right) \]

   if -3.15e46 < y2 < 9.00000000000000034e-287

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 29.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 23.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 23.8%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 23.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if 9.00000000000000034e-287 < y2 < 3.49999999999999989e-206

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 38.5%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in z around inf 24.2%

      \[\leadsto \color{blue}{-1 \cdot \left(t \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 24.2%

         \[\leadsto \color{blue}{-t \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   6. Simplified 24.2%

      \[\leadsto \color{blue}{-t \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   7. Taylor expanded in a around 0 39.6%

      \[\leadsto -\color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(t \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 39.6%

         \[\leadsto -\color{blue}{\left(-1 \cdot c\right) \cdot \left(i \cdot \left(t \cdot z\right)\right)} \]

      2. neg-mul-1 39.6%

         \[\leadsto -\color{blue}{\left(-c\right)} \cdot \left(i \cdot \left(t \cdot z\right)\right) \]

      3. *-commutative 39.6%

         \[\leadsto -\left(-c\right) \cdot \color{blue}{\left(\left(t \cdot z\right) \cdot i\right)} \]

   9. Simplified 39.6%

      \[\leadsto -\color{blue}{\left(-c\right) \cdot \left(\left(t \cdot z\right) \cdot i\right)} \]

   if 3.49999999999999989e-206 < y2 < 1.64999999999999994e-16

   1. Initial program 22.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 43.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 29.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 24.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   8. Taylor expanded in a around 0 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 24.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

      2. associate-*r* 24.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot y\right) \cdot x\right)} \]

      3. associate-*r* 26.7%

         \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y\right)\right) \cdot x} \]

   10. Simplified 26.7%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y\right)\right) \cdot x} \]

   if 2.10000000000000001e80 < y2

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 34.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 45.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 45.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 45.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 45.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 20.8%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 20.8%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right) \cdot k} \]

      2. *-commutative 20.8%

         \[\leadsto \color{blue}{\left(\left(y2 \cdot y4\right) \cdot y1\right)} \cdot k \]

      3. *-commutative 20.8%

         \[\leadsto \left(\color{blue}{\left(y4 \cdot y2\right)} \cdot y1\right) \cdot k \]

      4. associate-*r* 35.8%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y2 \cdot y1\right)\right)} \cdot k \]

      5. *-commutative 35.8%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(y1 \cdot y2\right)}\right) \cdot k \]

      6. associate-*r* 45.7%

         \[\leadsto \color{blue}{y4 \cdot \left(\left(y1 \cdot y2\right) \cdot k\right)} \]

      7. *-commutative 45.7%

         \[\leadsto y4 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   9. Simplified 45.7%

      \[\leadsto \color{blue}{y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 33.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.15 \cdot 10^{+46}:\\ \;\;\;\;\left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-287}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{-206}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{-16}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+80}:\\ \;\;\;\;\left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 22.7% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{if}\;y2 \leq -1.85 \cdot 10^{+46}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-286}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 2.5 \cdot 10^{-209}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 9.6 \cdot 10^{-18}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{+79}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (- t) (* y4 (* c y2)))))
   (if (<= y2 -1.85e+46)
     t_1
     (if (<= y2 1.7e-286)
       (* a (* (* x y) b))
       (if (<= y2 2.5e-209)
         (* t (* b (* j y4)))
         (if (<= y2 9.6e-18)
           (* x (* a (* y b)))
           (if (<= y2 3.2e+79) t_1 (* y4 (* k (* 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 t_1 = -t * (y4 * (c * y2));
	double tmp;
	if (y2 <= -1.85e+46) {
		tmp = t_1;
	} else if (y2 <= 1.7e-286) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 2.5e-209) {
		tmp = t * (b * (j * y4));
	} else if (y2 <= 9.6e-18) {
		tmp = x * (a * (y * b));
	} else if (y2 <= 3.2e+79) {
		tmp = t_1;
	} else {
		tmp = y4 * (k * (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) :: t_1
    real(8) :: tmp
    t_1 = -t * (y4 * (c * y2))
    if (y2 <= (-1.85d+46)) then
        tmp = t_1
    else if (y2 <= 1.7d-286) then
        tmp = a * ((x * y) * b)
    else if (y2 <= 2.5d-209) then
        tmp = t * (b * (j * y4))
    else if (y2 <= 9.6d-18) then
        tmp = x * (a * (y * b))
    else if (y2 <= 3.2d+79) then
        tmp = t_1
    else
        tmp = y4 * (k * (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 t_1 = -t * (y4 * (c * y2));
	double tmp;
	if (y2 <= -1.85e+46) {
		tmp = t_1;
	} else if (y2 <= 1.7e-286) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 2.5e-209) {
		tmp = t * (b * (j * y4));
	} else if (y2 <= 9.6e-18) {
		tmp = x * (a * (y * b));
	} else if (y2 <= 3.2e+79) {
		tmp = t_1;
	} else {
		tmp = y4 * (k * (y1 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = -t * (y4 * (c * y2))
	tmp = 0
	if y2 <= -1.85e+46:
		tmp = t_1
	elif y2 <= 1.7e-286:
		tmp = a * ((x * y) * b)
	elif y2 <= 2.5e-209:
		tmp = t * (b * (j * y4))
	elif y2 <= 9.6e-18:
		tmp = x * (a * (y * b))
	elif y2 <= 3.2e+79:
		tmp = t_1
	else:
		tmp = y4 * (k * (y1 * 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(-t) * Float64(y4 * Float64(c * y2)))
	tmp = 0.0
	if (y2 <= -1.85e+46)
		tmp = t_1;
	elseif (y2 <= 1.7e-286)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y2 <= 2.5e-209)
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	elseif (y2 <= 9.6e-18)
		tmp = Float64(x * Float64(a * Float64(y * b)));
	elseif (y2 <= 3.2e+79)
		tmp = t_1;
	else
		tmp = Float64(y4 * Float64(k * 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)
	t_1 = -t * (y4 * (c * y2));
	tmp = 0.0;
	if (y2 <= -1.85e+46)
		tmp = t_1;
	elseif (y2 <= 1.7e-286)
		tmp = a * ((x * y) * b);
	elseif (y2 <= 2.5e-209)
		tmp = t * (b * (j * y4));
	elseif (y2 <= 9.6e-18)
		tmp = x * (a * (y * b));
	elseif (y2 <= 3.2e+79)
		tmp = t_1;
	else
		tmp = y4 * (k * (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_] := Block[{t$95$1 = N[((-t) * N[(y4 * N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.85e+46], t$95$1, If[LessEqual[y2, 1.7e-286], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.5e-209], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.6e-18], N[(x * N[(a * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.2e+79], t$95$1, N[(y4 * N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -1.84999999999999995e46 or 9.59999999999999976e-18 < y2 < 3.20000000000000003e79

   1. Initial program 26.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.7%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around 0 39.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot y2\right)\right)}\right) \]
   6. Step-by-step derivation

      1. mul-1-neg 39.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(-c \cdot y2\right)}\right) \]

      2. distribute-lft-neg-out 39.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(\left(-c\right) \cdot y2\right)}\right) \]

      3. *-commutative 39.4%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(y2 \cdot \left(-c\right)\right)}\right) \]

   7. Simplified 39.4%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(y2 \cdot \left(-c\right)\right)}\right) \]

   if -1.84999999999999995e46 < y2 < 1.7000000000000001e-286

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 29.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 23.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 23.8%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 23.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if 1.7000000000000001e-286 < y2 < 2.5000000000000002e-209

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 38.5%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 31.8%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 39.1%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.1%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 39.1%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 2.5000000000000002e-209 < y2 < 9.59999999999999976e-18

   1. Initial program 22.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 43.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 29.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 24.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   8. Taylor expanded in a around 0 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 24.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

      2. associate-*r* 24.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(b \cdot y\right) \cdot x\right)} \]

      3. associate-*r* 26.7%

         \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y\right)\right) \cdot x} \]

   10. Simplified 26.7%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y\right)\right) \cdot x} \]

   if 3.20000000000000003e79 < y2

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 34.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 45.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 45.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 45.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 45.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 20.8%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 20.8%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right) \cdot k} \]

      2. *-commutative 20.8%

         \[\leadsto \color{blue}{\left(\left(y2 \cdot y4\right) \cdot y1\right)} \cdot k \]

      3. *-commutative 20.8%

         \[\leadsto \left(\color{blue}{\left(y4 \cdot y2\right)} \cdot y1\right) \cdot k \]

      4. associate-*r* 35.8%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y2 \cdot y1\right)\right)} \cdot k \]

      5. *-commutative 35.8%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(y1 \cdot y2\right)}\right) \cdot k \]

      6. associate-*r* 45.7%

         \[\leadsto \color{blue}{y4 \cdot \left(\left(y1 \cdot y2\right) \cdot k\right)} \]

      7. *-commutative 45.7%

         \[\leadsto y4 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   9. Simplified 45.7%

      \[\leadsto \color{blue}{y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 33.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.85 \cdot 10^{+46}:\\ \;\;\;\;\left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-286}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 2.5 \cdot 10^{-209}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 9.6 \cdot 10^{-18}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{+79}:\\ \;\;\;\;\left(-t\right) \cdot \left(y4 \cdot \left(c \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 22.7% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;x \leq -4.7 \cdot 10^{-60}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 8.5 \cdot 10^{-254}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-60}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3400000000:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{+83}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= x -4.7e-60)
     t_1
     (if (<= x 8.5e-254)
       (* t (* b (* j y4)))
       (if (<= x 9.2e-60)
         (* y1 (* k (* y2 y4)))
         (if (<= x 3400000000.0)
           (* t (* y4 (* b j)))
           (if (<= x 4.3e+83) (* k (* y1 (* y2 y4))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -4.7e-60) {
		tmp = t_1;
	} else if (x <= 8.5e-254) {
		tmp = t * (b * (j * y4));
	} else if (x <= 9.2e-60) {
		tmp = y1 * (k * (y2 * y4));
	} else if (x <= 3400000000.0) {
		tmp = t * (y4 * (b * j));
	} else if (x <= 4.3e+83) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (x <= (-4.7d-60)) then
        tmp = t_1
    else if (x <= 8.5d-254) then
        tmp = t * (b * (j * y4))
    else if (x <= 9.2d-60) then
        tmp = y1 * (k * (y2 * y4))
    else if (x <= 3400000000.0d0) then
        tmp = t * (y4 * (b * j))
    else if (x <= 4.3d+83) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -4.7e-60) {
		tmp = t_1;
	} else if (x <= 8.5e-254) {
		tmp = t * (b * (j * y4));
	} else if (x <= 9.2e-60) {
		tmp = y1 * (k * (y2 * y4));
	} else if (x <= 3400000000.0) {
		tmp = t * (y4 * (b * j));
	} else if (x <= 4.3e+83) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if x <= -4.7e-60:
		tmp = t_1
	elif x <= 8.5e-254:
		tmp = t * (b * (j * y4))
	elif x <= 9.2e-60:
		tmp = y1 * (k * (y2 * y4))
	elif x <= 3400000000.0:
		tmp = t * (y4 * (b * j))
	elif x <= 4.3e+83:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (x <= -4.7e-60)
		tmp = t_1;
	elseif (x <= 8.5e-254)
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	elseif (x <= 9.2e-60)
		tmp = Float64(y1 * Float64(k * Float64(y2 * y4)));
	elseif (x <= 3400000000.0)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	elseif (x <= 4.3e+83)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (x <= -4.7e-60)
		tmp = t_1;
	elseif (x <= 8.5e-254)
		tmp = t * (b * (j * y4));
	elseif (x <= 9.2e-60)
		tmp = y1 * (k * (y2 * y4));
	elseif (x <= 3400000000.0)
		tmp = t * (y4 * (b * j));
	elseif (x <= 4.3e+83)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -4.7e-60], t$95$1, If[LessEqual[x, 8.5e-254], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 9.2e-60], N[(y1 * N[(k * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3400000000.0], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.3e+83], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if x < -4.7e-60 or 4.3e83 < x

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 32.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 31.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 31.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 31.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -4.7e-60 < x < 8.49999999999999963e-254

   1. Initial program 32.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 55.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.8%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 30.8%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.8%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 30.8%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 8.49999999999999963e-254 < x < 9.2000000000000005e-60

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 38.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 30.7%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 30.7%

         \[\leadsto y1 \cdot \left(k \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 30.7%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y4 \cdot y2\right)\right)} \]

   if 9.2000000000000005e-60 < x < 3.4e9

   1. Initial program 41.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 53.1%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 59.6%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 53.9%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(b \cdot j\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 53.9%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   7. Simplified 53.9%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   if 3.4e9 < x < 4.3e83

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 42.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 23.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 23.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 23.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 23.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 23.5%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 23.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 23.6%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 23.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 32.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4.7 \cdot 10^{-60}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 8.5 \cdot 10^{-254}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-60}:\\ \;\;\;\;y1 \cdot \left(k \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 3400000000:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{+83}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 29.0% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -2.7 \cdot 10^{+70}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 6.8 \cdot 10^{-286}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1550000:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 6 \cdot 10^{+153}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y (* k y5)))))
   (if (<= y5 -2.7e+70)
     t_1
     (if (<= y5 6.8e-286)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= y5 1550000.0)
         (* b (* y (- (* x a) (* k y4))))
         (if (<= y5 6e+153) (* j (* t (- (* b y4) (* i y5)))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * (k * y5));
	double tmp;
	if (y5 <= -2.7e+70) {
		tmp = t_1;
	} else if (y5 <= 6.8e-286) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y5 <= 1550000.0) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y5 <= 6e+153) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y * (k * y5))
    if (y5 <= (-2.7d+70)) then
        tmp = t_1
    else if (y5 <= 6.8d-286) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y5 <= 1550000.0d0) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y5 <= 6d+153) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * (k * y5));
	double tmp;
	if (y5 <= -2.7e+70) {
		tmp = t_1;
	} else if (y5 <= 6.8e-286) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y5 <= 1550000.0) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y5 <= 6e+153) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y * (k * y5))
	tmp = 0
	if y5 <= -2.7e+70:
		tmp = t_1
	elif y5 <= 6.8e-286:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y5 <= 1550000.0:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y5 <= 6e+153:
		tmp = j * (t * ((b * y4) - (i * y5)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y * Float64(k * y5)))
	tmp = 0.0
	if (y5 <= -2.7e+70)
		tmp = t_1;
	elseif (y5 <= 6.8e-286)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y5 <= 1550000.0)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y5 <= 6e+153)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y * (k * y5));
	tmp = 0.0;
	if (y5 <= -2.7e+70)
		tmp = t_1;
	elseif (y5 <= 6.8e-286)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y5 <= 1550000.0)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y5 <= 6e+153)
		tmp = j * (t * ((b * y4) - (i * y5)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.7e+70], t$95$1, If[LessEqual[y5, 6.8e-286], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1550000.0], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 6e+153], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -2.7e70 or 6.00000000000000037e153 < y5

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 46.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 51.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 51.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 51.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 51.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 51.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 48.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 48.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 48.1%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 48.1%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if -2.7e70 < y5 < 6.8000000000000002e-286

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 37.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 6.8000000000000002e-286 < y5 < 1.55e6

   1. Initial program 31.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 37.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 37.3%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 37.3%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 37.3%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 37.3%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if 1.55e6 < y5 < 6.00000000000000037e153

   1. Initial program 31.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 41.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 56.3%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.7 \cdot 10^{+70}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 6.8 \cdot 10^{-286}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1550000:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 6 \cdot 10^{+153}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 39: 26.8% accurate, 3.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;y5 \leq -8 \cdot 10^{+70}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-290}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{-54}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 3.2 \cdot 10^{+155}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y (* k y5)))) (t_2 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= y5 -8e+70)
     t_1
     (if (<= y5 2.5e-290)
       t_2
       (if (<= y5 8.6e-54)
         (* y1 (* y2 (* k y4)))
         (if (<= y5 3.2e+155) 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 = i * (y * (k * y5));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y5 <= -8e+70) {
		tmp = t_1;
	} else if (y5 <= 2.5e-290) {
		tmp = t_2;
	} else if (y5 <= 8.6e-54) {
		tmp = y1 * (y2 * (k * y4));
	} else if (y5 <= 3.2e+155) {
		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 = i * (y * (k * y5))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    if (y5 <= (-8d+70)) then
        tmp = t_1
    else if (y5 <= 2.5d-290) then
        tmp = t_2
    else if (y5 <= 8.6d-54) then
        tmp = y1 * (y2 * (k * y4))
    else if (y5 <= 3.2d+155) 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 = i * (y * (k * y5));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y5 <= -8e+70) {
		tmp = t_1;
	} else if (y5 <= 2.5e-290) {
		tmp = t_2;
	} else if (y5 <= 8.6e-54) {
		tmp = y1 * (y2 * (k * y4));
	} else if (y5 <= 3.2e+155) {
		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 = i * (y * (k * y5))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if y5 <= -8e+70:
		tmp = t_1
	elif y5 <= 2.5e-290:
		tmp = t_2
	elif y5 <= 8.6e-54:
		tmp = y1 * (y2 * (k * y4))
	elif y5 <= 3.2e+155:
		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(i * Float64(y * Float64(k * y5)))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (y5 <= -8e+70)
		tmp = t_1;
	elseif (y5 <= 2.5e-290)
		tmp = t_2;
	elseif (y5 <= 8.6e-54)
		tmp = Float64(y1 * Float64(y2 * Float64(k * y4)));
	elseif (y5 <= 3.2e+155)
		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 = i * (y * (k * y5));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (y5 <= -8e+70)
		tmp = t_1;
	elseif (y5 <= 2.5e-290)
		tmp = t_2;
	elseif (y5 <= 8.6e-54)
		tmp = y1 * (y2 * (k * y4));
	elseif (y5 <= 3.2e+155)
		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[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8e+70], t$95$1, If[LessEqual[y5, 2.5e-290], t$95$2, If[LessEqual[y5, 8.6e-54], N[(y1 * N[(y2 * N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.2e+155], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if y5 < -8.00000000000000058e70 or 3.20000000000000012e155 < y5

   1. Initial program 27.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 46.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y around inf 51.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 51.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 51.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 51.5%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right)\right) \]

   6. Simplified 51.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(c \cdot x - k \cdot y5\right)\right)\right)} \]

   7. Taylor expanded in c around 0 48.0%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)}\right)\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 48.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      2. distribute-rgt-neg-in 48.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   9. Simplified 48.0%

      \[\leadsto -1 \cdot \left(i \cdot \left(y \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)}\right)\right) \]

   if -8.00000000000000058e70 < y5 < 2.5e-290 or 8.5999999999999999e-54 < y5 < 3.20000000000000012e155

   1. Initial program 28.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 2.5e-290 < y5 < 8.5999999999999999e-54

   1. Initial program 34.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 43.8%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 39.8%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 39.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 39.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 39.8%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 32.0%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 32.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   9. Simplified 32.0%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]
3. Recombined 3 regimes into one program.

4. Final simplification 38.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8 \cdot 10^{+70}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-290}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{-54}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 3.2 \cdot 10^{+155}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 40: 22.5% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;x \leq -3.6 \cdot 10^{-59}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-254}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-60}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 265000000:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= x -3.6e-59)
     t_1
     (if (<= x 1.7e-254)
       (* t (* b (* j y4)))
       (if (<= x 7.8e-60)
         (* k (* y1 (* y2 y4)))
         (if (<= x 265000000.0) (* t (* y4 (* b j))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -3.6e-59) {
		tmp = t_1;
	} else if (x <= 1.7e-254) {
		tmp = t * (b * (j * y4));
	} else if (x <= 7.8e-60) {
		tmp = k * (y1 * (y2 * y4));
	} else if (x <= 265000000.0) {
		tmp = t * (y4 * (b * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (x <= (-3.6d-59)) then
        tmp = t_1
    else if (x <= 1.7d-254) then
        tmp = t * (b * (j * y4))
    else if (x <= 7.8d-60) then
        tmp = k * (y1 * (y2 * y4))
    else if (x <= 265000000.0d0) then
        tmp = t * (y4 * (b * j))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -3.6e-59) {
		tmp = t_1;
	} else if (x <= 1.7e-254) {
		tmp = t * (b * (j * y4));
	} else if (x <= 7.8e-60) {
		tmp = k * (y1 * (y2 * y4));
	} else if (x <= 265000000.0) {
		tmp = t * (y4 * (b * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if x <= -3.6e-59:
		tmp = t_1
	elif x <= 1.7e-254:
		tmp = t * (b * (j * y4))
	elif x <= 7.8e-60:
		tmp = k * (y1 * (y2 * y4))
	elif x <= 265000000.0:
		tmp = t * (y4 * (b * j))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (x <= -3.6e-59)
		tmp = t_1;
	elseif (x <= 1.7e-254)
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	elseif (x <= 7.8e-60)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (x <= 265000000.0)
		tmp = Float64(t * Float64(y4 * Float64(b * j)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (x <= -3.6e-59)
		tmp = t_1;
	elseif (x <= 1.7e-254)
		tmp = t * (b * (j * y4));
	elseif (x <= 7.8e-60)
		tmp = k * (y1 * (y2 * y4));
	elseif (x <= 265000000.0)
		tmp = t * (y4 * (b * j));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3.6e-59], t$95$1, If[LessEqual[x, 1.7e-254], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7.8e-60], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 265000000.0], N[(t * N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if x < -3.6e-59 or 2.65e8 < x

   1. Initial program 25.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -3.6e-59 < x < 1.69999999999999996e-254

   1. Initial program 32.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 55.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.8%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 30.8%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.8%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 30.8%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 1.69999999999999996e-254 < x < 7.8000000000000004e-60

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 38.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 33.7%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 24.1%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 24.1%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 24.1%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]

   if 7.8000000000000004e-60 < x < 2.65e8

   1. Initial program 41.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 53.1%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 59.6%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 53.9%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(b \cdot j\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 53.9%

         \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]

   7. Simplified 53.9%

      \[\leadsto t \cdot \left(y4 \cdot \color{blue}{\left(j \cdot b\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 30.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.6 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-254}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-60}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 265000000:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 41: 22.6% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ t_2 := t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{if}\;x \leq -2.3 \cdot 10^{-59}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-255}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq 6.6 \cdot 10^{-23}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2400000000:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))) (t_2 (* t (* b (* j y4)))))
   (if (<= x -2.3e-59)
     t_1
     (if (<= x 5.5e-255)
       t_2
       (if (<= x 6.6e-23)
         (* k (* y1 (* y2 y4)))
         (if (<= x 2400000000.0) 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 = a * ((x * y) * b);
	double t_2 = t * (b * (j * y4));
	double tmp;
	if (x <= -2.3e-59) {
		tmp = t_1;
	} else if (x <= 5.5e-255) {
		tmp = t_2;
	} else if (x <= 6.6e-23) {
		tmp = k * (y1 * (y2 * y4));
	} else if (x <= 2400000000.0) {
		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 = a * ((x * y) * b)
    t_2 = t * (b * (j * y4))
    if (x <= (-2.3d-59)) then
        tmp = t_1
    else if (x <= 5.5d-255) then
        tmp = t_2
    else if (x <= 6.6d-23) then
        tmp = k * (y1 * (y2 * y4))
    else if (x <= 2400000000.0d0) 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 = a * ((x * y) * b);
	double t_2 = t * (b * (j * y4));
	double tmp;
	if (x <= -2.3e-59) {
		tmp = t_1;
	} else if (x <= 5.5e-255) {
		tmp = t_2;
	} else if (x <= 6.6e-23) {
		tmp = k * (y1 * (y2 * y4));
	} else if (x <= 2400000000.0) {
		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 = a * ((x * y) * b)
	t_2 = t * (b * (j * y4))
	tmp = 0
	if x <= -2.3e-59:
		tmp = t_1
	elif x <= 5.5e-255:
		tmp = t_2
	elif x <= 6.6e-23:
		tmp = k * (y1 * (y2 * y4))
	elif x <= 2400000000.0:
		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(a * Float64(Float64(x * y) * b))
	t_2 = Float64(t * Float64(b * Float64(j * y4)))
	tmp = 0.0
	if (x <= -2.3e-59)
		tmp = t_1;
	elseif (x <= 5.5e-255)
		tmp = t_2;
	elseif (x <= 6.6e-23)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (x <= 2400000000.0)
		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 = a * ((x * y) * b);
	t_2 = t * (b * (j * y4));
	tmp = 0.0;
	if (x <= -2.3e-59)
		tmp = t_1;
	elseif (x <= 5.5e-255)
		tmp = t_2;
	elseif (x <= 6.6e-23)
		tmp = k * (y1 * (y2 * y4));
	elseif (x <= 2400000000.0)
		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[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.3e-59], t$95$1, If[LessEqual[x, 5.5e-255], t$95$2, If[LessEqual[x, 6.6e-23], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2400000000.0], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if x < -2.29999999999999979e-59 or 2.4e9 < x

   1. Initial program 25.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -2.29999999999999979e-59 < x < 5.5000000000000003e-255 or 6.60000000000000041e-23 < x < 2.4e9

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 55.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 39.7%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 36.3%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 36.3%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 36.3%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 5.5000000000000003e-255 < x < 6.60000000000000041e-23

   1. Initial program 34.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 39.2%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 34.0%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 34.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 34.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 34.0%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 24.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 24.0%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 24.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 30.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.3 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-255}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 6.6 \cdot 10^{-23}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2400000000:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 42: 22.3% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{if}\;x \leq -1.35 \cdot 10^{-58}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 1.18 \cdot 10^{-256}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-51}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* (* x y) b))))
   (if (<= x -1.35e-58)
     t_1
     (if (<= x 1.18e-256)
       (* b (* j (* t y4)))
       (if (<= x 4.5e-51) (* k (* y1 (* y2 y4))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -1.35e-58) {
		tmp = t_1;
	} else if (x <= 1.18e-256) {
		tmp = b * (j * (t * y4));
	} else if (x <= 4.5e-51) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * ((x * y) * b)
    if (x <= (-1.35d-58)) then
        tmp = t_1
    else if (x <= 1.18d-256) then
        tmp = b * (j * (t * y4))
    else if (x <= 4.5d-51) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * ((x * y) * b);
	double tmp;
	if (x <= -1.35e-58) {
		tmp = t_1;
	} else if (x <= 1.18e-256) {
		tmp = b * (j * (t * y4));
	} else if (x <= 4.5e-51) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((x * y) * b)
	tmp = 0
	if x <= -1.35e-58:
		tmp = t_1
	elif x <= 1.18e-256:
		tmp = b * (j * (t * y4))
	elif x <= 4.5e-51:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(x * y) * b))
	tmp = 0.0
	if (x <= -1.35e-58)
		tmp = t_1;
	elseif (x <= 1.18e-256)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (x <= 4.5e-51)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * ((x * y) * b);
	tmp = 0.0;
	if (x <= -1.35e-58)
		tmp = t_1;
	elseif (x <= 1.18e-256)
		tmp = b * (j * (t * y4));
	elseif (x <= 4.5e-51)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.35e-58], t$95$1, If[LessEqual[x, 1.18e-256], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.5e-51], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if x < -1.3499999999999999e-58 or 4.49999999999999974e-51 < x

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 32.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 30.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.1%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 30.1%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -1.3499999999999999e-58 < x < 1.18e-256

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 54.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 35.4%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 29.7%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 29.7%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   7. Simplified 29.7%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]

   if 1.18e-256 < x < 4.49999999999999974e-51

   1. Initial program 32.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 37.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 33.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 33.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 33.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 33.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 24.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 24.2%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

   9. Simplified 24.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y4 \cdot y2\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 28.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.35 \cdot 10^{-58}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;x \leq 1.18 \cdot 10^{-256}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-51}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 43: 22.7% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x \leq -3.8 \cdot 10^{-59} \lor \neg \left(x \leq 3900000000\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= x -3.8e-59) (not (<= x 3900000000.0)))
   (* a (* (* x y) b))
   (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((x <= -3.8e-59) || !(x <= 3900000000.0)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((x <= (-3.8d-59)) .or. (.not. (x <= 3900000000.0d0))) then
        tmp = a * ((x * y) * b)
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((x <= -3.8e-59) || !(x <= 3900000000.0)) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (x <= -3.8e-59) or not (x <= 3900000000.0):
		tmp = a * ((x * y) * b)
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((x <= -3.8e-59) || !(x <= 3900000000.0))
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((x <= -3.8e-59) || ~((x <= 3900000000.0)))
		tmp = a * ((x * y) * b);
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[x, -3.8e-59], N[Not[LessEqual[x, 3900000000.0]], $MachinePrecision]], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if x < -3.79999999999999983e-59 or 3.9e9 < x

   1. Initial program 25.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if -3.79999999999999983e-59 < x < 3.9e9

   1. Initial program 34.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 42.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.5%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 23.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 23.5%

         \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   7. Simplified 23.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.8 \cdot 10^{-59} \lor \neg \left(x \leq 3900000000\right):\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 44: 21.3% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.6 \cdot 10^{+22}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+183}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.6e+22)
   (* y4 (* k (* y1 y2)))
   (if (<= y2 6.2e+183) (* a (* (* x y) b)) (* y1 (* y4 (* k y2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.6e+22) {
		tmp = y4 * (k * (y1 * y2));
	} else if (y2 <= 6.2e+183) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = y1 * (y4 * (k * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.6d+22)) then
        tmp = y4 * (k * (y1 * y2))
    else if (y2 <= 6.2d+183) then
        tmp = a * ((x * y) * b)
    else
        tmp = y1 * (y4 * (k * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.6e+22) {
		tmp = y4 * (k * (y1 * y2));
	} else if (y2 <= 6.2e+183) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = y1 * (y4 * (k * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.6e+22:
		tmp = y4 * (k * (y1 * y2))
	elif y2 <= 6.2e+183:
		tmp = a * ((x * y) * b)
	else:
		tmp = y1 * (y4 * (k * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.6e+22)
		tmp = Float64(y4 * Float64(k * Float64(y1 * y2)));
	elseif (y2 <= 6.2e+183)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(y1 * Float64(y4 * Float64(k * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.6e+22)
		tmp = y4 * (k * (y1 * y2));
	elseif (y2 <= 6.2e+183)
		tmp = a * ((x * y) * b);
	else
		tmp = y1 * (y4 * (k * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.6e+22], N[(y4 * N[(k * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.2e+183], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(y1 * N[(y4 * N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if y2 < -1.6e22

   1. Initial program 25.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 44.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 40.4%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 40.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 40.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 40.4%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 27.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 27.7%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right) \cdot k} \]

      2. *-commutative 27.7%

         \[\leadsto \color{blue}{\left(\left(y2 \cdot y4\right) \cdot y1\right)} \cdot k \]

      3. *-commutative 27.7%

         \[\leadsto \left(\color{blue}{\left(y4 \cdot y2\right)} \cdot y1\right) \cdot k \]

      4. associate-*r* 26.8%

         \[\leadsto \color{blue}{\left(y4 \cdot \left(y2 \cdot y1\right)\right)} \cdot k \]

      5. *-commutative 26.8%

         \[\leadsto \left(y4 \cdot \color{blue}{\left(y1 \cdot y2\right)}\right) \cdot k \]

      6. associate-*r* 29.7%

         \[\leadsto \color{blue}{y4 \cdot \left(\left(y1 \cdot y2\right) \cdot k\right)} \]

      7. *-commutative 29.7%

         \[\leadsto y4 \cdot \color{blue}{\left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   9. Simplified 29.7%

      \[\leadsto \color{blue}{y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)} \]

   if -1.6e22 < y2 < 6.1999999999999997e183

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 27.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 24.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 24.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

   if 6.1999999999999997e183 < y2

   1. Initial program 31.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 32.4%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 49.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 49.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 49.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 49.1%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 49.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 33.8%

      \[\leadsto y1 \cdot \color{blue}{\left(k \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 33.8%

         \[\leadsto y1 \cdot \left(k \cdot \color{blue}{\left(y4 \cdot y2\right)}\right) \]

      2. associate-*r* 33.8%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y4\right) \cdot y2\right)} \]

      3. *-commutative 33.8%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot k\right)} \cdot y2\right) \]

      4. associate-*r* 45.1%

         \[\leadsto y1 \cdot \color{blue}{\left(y4 \cdot \left(k \cdot y2\right)\right)} \]

   9. Simplified 45.1%

      \[\leadsto y1 \cdot \color{blue}{\left(y4 \cdot \left(k \cdot y2\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 27.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.6 \cdot 10^{+22}:\\ \;\;\;\;y4 \cdot \left(k \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+183}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 45: 19.2% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq -1.1 \cdot 10^{+58}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{-68}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k -1.1e+58)
   (* y1 (* y2 (* k y4)))
   (if (<= k 6.5e-68) (* t (* b (* j y4))) (* a (* (* x y) b)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (k <= -1.1e+58) {
		tmp = y1 * (y2 * (k * y4));
	} else if (k <= 6.5e-68) {
		tmp = t * (b * (j * y4));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (k <= (-1.1d+58)) then
        tmp = y1 * (y2 * (k * y4))
    else if (k <= 6.5d-68) then
        tmp = t * (b * (j * y4))
    else
        tmp = a * ((x * y) * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (k <= -1.1e+58) {
		tmp = y1 * (y2 * (k * y4));
	} else if (k <= 6.5e-68) {
		tmp = t * (b * (j * y4));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if k <= -1.1e+58:
		tmp = y1 * (y2 * (k * y4))
	elif k <= 6.5e-68:
		tmp = t * (b * (j * y4))
	else:
		tmp = a * ((x * y) * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (k <= -1.1e+58)
		tmp = Float64(y1 * Float64(y2 * Float64(k * y4)));
	elseif (k <= 6.5e-68)
		tmp = Float64(t * Float64(b * Float64(j * y4)));
	else
		tmp = Float64(a * Float64(Float64(x * y) * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (k <= -1.1e+58)
		tmp = y1 * (y2 * (k * y4));
	elseif (k <= 6.5e-68)
		tmp = t * (b * (j * y4));
	else
		tmp = a * ((x * y) * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[k, -1.1e+58], N[(y1 * N[(y2 * N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.5e-68], N[(t * N[(b * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if k < -1.1e58

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around inf 36.6%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y2 around inf 35.2%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 35.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 35.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 35.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 35.2%

      \[\leadsto y1 \cdot \color{blue}{\left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 31.8%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 31.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   9. Simplified 31.8%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   if -1.1e58 < k < 6.4999999999999997e-68

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 36.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 27.2%

      \[\leadsto \color{blue}{t \cdot \left(y4 \cdot \left(b \cdot j - c \cdot y2\right)\right)} \]

   5. Taylor expanded in b around inf 21.0%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(j \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 21.0%

         \[\leadsto t \cdot \left(b \cdot \color{blue}{\left(y4 \cdot j\right)}\right) \]

   7. Simplified 21.0%

      \[\leadsto t \cdot \color{blue}{\left(b \cdot \left(y4 \cdot j\right)\right)} \]

   if 6.4999999999999997e-68 < k

   1. Initial program 25.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 33.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

   5. Taylor expanded in x around inf 28.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 28.8%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

   7. Simplified 28.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 25.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.1 \cdot 10^{+58}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{-68}:\\ \;\;\;\;t \cdot \left(b \cdot \left(j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 46: 17.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* (* x y) b)))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * ((x * y) * b)
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * ((x * y) * b)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(Float64(x * y) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * ((x * y) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 29.3%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in b around inf 37.1%

   \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

4. Taylor expanded in a around inf 26.3%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]

5. Taylor expanded in x around inf 20.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
6. Step-by-step derivation

   1. *-commutative 20.2%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

7. Simplified 20.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x\right)\right)} \]

8. Final simplification 20.2%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
9. Add Preprocessing

Developer target: 27.0% accurate, 0.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t\_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t\_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t\_9\\ t_11 := t\_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t\_4 \cdot t\_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t\_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t\_3 \cdot t\_1 - t\_14\right)\right) + \left(t\_8 - \left(t\_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t\_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t\_13\right)\right) + \left(t\_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t\_10 - \left(y \cdot x - z \cdot t\right) \cdot t\_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t\_8 - \left(t\_11 - t\_6\right)\right) - \left(\frac{t\_3}{\frac{1}{t\_1}} - t\_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t\_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t\_2 - \left(t\_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t\_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t\_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t\_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t\_5\right) - t\_17 \cdot t\_1\right) + t\_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2024101 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :alt
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))